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# List of numbers

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| This article is incomplete and may require expansion or cleanup. Please help to improve the article, or discuss the issue on the talk page.

  This list is incomplete; you can help by expanding it.

This is a list of articles about numbers (not about numerals).

## [edit] Rational numbers

#### [edit] Natural numbers

| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9
10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19
20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29
30 | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39
40 | 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49
50 | 51 | 52 | 53 | 54 | 55 | 56 | 57 | 58 | 59
60 | 61 | 62 | 63 | 64 | 65 | 66 | 67 | 68 | 69
70 | 71 | 72 | 73 | 74 | 75 | 76 | 77 | 78 | 79
80 | 81 | 82 | 83 | 84 | 85 | 86 | 87 | 88 | 89
90 | 91 | 92 | 93 | 94 | 95 | 96 | 97 | 98 | 99
100 | 101 | 102 | 103 | 104 | 105 | 106 | 107 | 108 | 109
110 | 111 | 112 | 113 | 114 | 115 | 116 | 117 | 118 | 119
120 | 121 | 122 | 123 | 124 | 125 | 126 | 127 | 128 | 129
130 | 131 | 132 | 133 | 134 | 135 | 136 | 137 | 138 | 139
140 | 141 | 142 | 143 | 144 | 145 | 146 | 147 | 148 | 149
150 | 151 | 152 | 153 | 154 | 155 | 156 | 157 | 158 | 159
160 | 161 | 162 | 163 | 164 | 165 | 166 | 167 | 168 | 169
170 | 171 | 172 | 173 | 174 | 175 | 176 | 177 | 178 | 179
180 | 181 | 182 | 183 | 184 | 185 | 186 | 187 | 188 | 189
190 | 191 | 192 | 193 | 194 | 195 | 196 | 197 | 198 | 199
200 | 201 | 202 | 203 | 204 | 205 | 206 | 207 | 208 | 209
210 | 211 | 212 | 213 | 214 | 215 | 216 |  |  |
|  | 220 | 230 | 240 | 250 | 260 | 270 | 280 | 290
|  |  | 300 | 400 | 500 | 600 | 700 | 800 | 900
| 1000 | 2000 | 3000 | 4000 | 5000 | 6000 | 7000 | 8000 | 9000
| 10000 | 20000 | 30000 | 40000 | 50000 | 60000 | 70000 | 80000 | 90000
100k–1M | 1M–10M | 10M–100M | 100M–1000M | Larger numbers

#### [edit] Powers of ten

Main article: Orders of magnitude (numbers)

### [edit] Integers

#### [edit] Notable integers

Other numbers that are notable for their mathematical properties or cultural meanings include:

- −40, an equal point in the Fahrenheit and Celsius scales.
- −1
- 0, a number which quantifies a count or an amount of null size.
- 42, the Answer to the Ultimate Question of Life, the Universe, and Everything according to the Hitchhikers Guide to the Galaxy
- 255, 28−1
- 496, a perfect number.
- 786, regarded as sacred by some Muslims[who?] although there is no such evidence in the Quran or Hadith.
- 911, the emergency phone number in the United States and Canada.
- 999, the emergency phone number in the United Kingdom.
- 1729, a taxicab number; the smallest number that can be written as the sum of two cubes in two different ways
- 142857, a base 10 cyclic number.
- 2147483647, 231−1, the maximum number that a 32-bit signed integer can reach.
- 9814072356, the largest perfect power that contains no repeated digits

#### [edit] Named integers

- Graham's number
- Moser's number
- Shannon number
- Hardy-Ramanujan number
- Skewes' number
- Number of the Beast
- Leviathan number
- Kaprekar's constant

### [edit] Prime numbers

Main article: List of prime numbers

A prime number is a positive integer which has exactly two divisors: one and itself.

The first 100 prime numbers:

2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29
31 | 37 | 41 | 43 | 47 | 53 | 59 | 61 | 67 | 71
73 | 79 | 83 | 89 | 97 | 101 | 103 | 107 | 109 | 113
127 | 131 | 137 | 139 | 149 | 151 | 157 | 163 | 167 | 173
179 | 181 | 191 | 193 | 197 | 199 | 211 | 223 | 227 | 229
233 | 239 | 241 | 251 | 257 | 263 | 269 | 271 | 277 | 281
283 | 293 | 307 | 311 | 313 | 317 | 331 | 337 | 347 | 349
353 | 359 | 367 | 373 | 379 | 383 | 389 | 397 | 401 | 409
419 | 421 | 431 | 433 | 439 | 443 | 449 | 457 | 461 | 463
467 | 479 | 487 | 491 | 499 | 503 | 509 | 521 | 523 | 541

### [edit] Perfect numbers

A perfect number is an integer that is the sum of its positive proper divisors (all divisors except itself).

The first 10 perfect numbers:

1 | 6
2 | 28
3 | 496
4 | 8 128
5 | 33 550 336
6 | 8 589 869 056
7 | 137 438 691 328
8 | 2 305 843 008 139 952 128
9 | 2 658 455 991 569 831 744 654 692 615 953 842 176
10 | 191 561 942 608 236 107 294 793 378 084 303 638 130 997 321 548 169 216

### [edit] Cardinal numbers

In the following tables, [and] indicates that the word and is used in some dialects (such as British English), and omitted in other dialects (such as American English).

#### [edit] Small numbers

This table demonstrates the standard English construction of small cardinal numbers up to ten million—names for which all variants of English agree.

Value | Name | Alternate names, and names for sets of the given size
--- | --- | ---
0 | Zero | aught, cipher, cypher, goose egg, love, nada, naught, nil, none, nought, nowt, null, ought, oh, squat, zed, zilch, zip
1 | One | ace, single, singleton, unary, unit, unity
2 | Two | binary, brace, couple, couplet, distich, deuce, double, doubleton, duad, duality, duet, duo, dyad, pair, snake eyes, span, twain, twosome, yoke
3 | Three | deuce-ace, leash, set, tercet, ternary, ternion, terzetto, threesome, tierce, trey, triad, trine, trinity, trio, triplet, troika, hat-trick
4 | Four | foursome, quadruplet, quatern, quaternary, quaternion, quaternity, quartet, tetrad
5 | Five | cinque, fin, fivesome, pentad, quint, quintet, quintuplet
6 | Six | half dozen, hexad, sestet, sextet, sextuplet, sise
7 | Seven | heptad, septet, septuplet
8 | Eight | octad, octave, octet, octonary, octuplet, ogdoad
9 | Nine | ennead
10 | Ten | deca, decade, sawbuck
11 | Eleven | onze, ounze, ounce
12 | Twelve | dozen
13 | Thirteen | baker's dozen, long dozen
14 | Fourteen
15 | Fifteen
16 | Sixteen
17 | Seventeen
18 | Eighteen
19 | Nineteen
20 | Twenty | score
21 | Twenty-one
22 | Twenty-two
23 | Twenty-three
24 | Twenty-four | two dozen
25 | Twenty-five
26 | Twenty-six
27 | Twenty-seven
28 | Twenty-eight
29 | Twenty-nine
30 | Thirty
31 | Thirty-one
40 | Forty
50 | Fifty | half-century
60 | Sixty | shock
70 | Seventy | three-score and ten
80 | Eighty | four-score
87 | Eighty-seven | four-score and seven
90 | Ninety
100 | One hundred | centred, century, ton, short hundred
101 | One hundred [and] one
110 | One hundred [and] ten
111 | One hundred [and] eleven,
120 | One hundred [and] twenty | long hundred, great hundred, (obsolete) hundred
121 | One hundred [and] twenty-one
144 | One hundred [and] forty-four | gross, dozen dozen, small gross
200 | Two hundred
300 | Three hundred
666 | Six Hundred [and] sixty-six | Number of the Beast
1 000 | One thousand | chiliad, grand (or G), thou, yard, kilo (often shortened to k)
1 001 | One thousand [and] one
1 010 | One thousand [and] ten
1 011 | One thousand [and] eleven
1 024 | One thousand [and] twenty-four | kibi or kilo in computing, see binary prefix (kilo is shortened to k, Kibi to Ki)
1 100 | One thousand one hundred
1 101 | One thousand one hundred [and] one
1 728 | One thousand seven hundred [and] twenty-eight | great gross, long gross, dozen gross
2 000 | Two thousand
10 000 | Ten thousand | myriad
100 000 | One hundred thousand | lakh
500 000 | Five hundred thousand | crore (Iranian)
1 000 000 | One million | Mega, meg, mil, (often shortened to M)
1 048 576 | One million forty-eight thousand five hundred [and] seventy-six | Mibi or Mega in computing, see binary prefix (Mega is shortened to M, Mibi to Mi)
10 000 000 | Ten million | crore (Indian)

#### [edit] English names for powers of 10

This table compares the English names of cardinal numbers according to various American, British, and Continental European conventions. See names of numbers in English or English-language numerals for more information on naming numbers.

| Short scale | Long scale | Power
--- | --- | --- | ---
Value | American | British (Nicolas Chuquet) | Continental European (Jacques Peletier du Mans) | of a thousand | of a million
100 | One | 1000-1+1 | 10000000
101 | Ten |  |
102 | Hundred |  |
103 | Thousand | 10000+1 | 10000000.5
106 | Million | 10001+1 | 10000001
109 | Billion | Thousand million | Milliard | 10002+1 | 10000001.5
1012 | Trillion | Billion | 10003+1 | 10000002
1015 | Quadrillion | Thousand billion | Billiard | 10004+1 | 10000002.5
1018 | Quintillion | Trillion | 10005+1 | 10000003
1021 | Sextillion | Thousand trillion | Trilliard | 10006+1 | 10000003.5
1024 | Septillion | Quadrillion | 10007+1 | 10000004
1027 | Octillion | Thousand quadrillion | Quadrilliard | 10008+1 | 10000004.5
1030 | Nonillion | Quintillion | 10009+1 | 10000005
1033 | Decillion | Thousand quintillion | Quintilliard | 100010+1 | 10000005.5
1036 | Undecillion | Sextillion | 100011+1 | 10000006
1039 | Duodecillion | Thousand sextillion | Sextilliard | 100012+1 | 10000006.5
1042 | Tredecillion | Septillion | 100013+1 | 10000007
1045 | Quattuordecillion | Thousand septillion | Septilliard | 100014+1 | 10000007.5
1048 | Quindecillion | Octillion | 100015+1 | 10000008
1051 | Sexdecillion | Thousand octillion | Octilliard | 100016+1 | 10000008.5
1054 | Septendecillion | Nonillion | 100017+1 | 10000009
1057 | Octodecillion | Thousand nonillion | Nonilliard | 100018+1 | 10000009.5
1060 | Novemdecillion | Decillion | 100019+1 | 100000010
1063 | Vigintillion | Thousand decillion | Decilliard | 100020+1 | 100000010.5
1066 | Unvigintillion | Undecillion | 100021+1 | 100000011
1069 | Duovigintillion | Thousand undecillion | Undecilliard | 100022+1 | 100000011.5
1072 | Trevigintillion | Duodecillion | 100023+1 | 100000012
1075 | Quattuorvigintillion | ... | ... | 100024+1 | 100000012.5
... | ... | ... | ... | ...
1093 | Trigintillion | Thousand quindecillion | Quindecilliard | 100030+1 | 100000015.5
... | ... | ... | ... | ...
10120 | Novemtrigintillion | Vigintillion | 100039+1 | 100000020
10123 | Quadragintillion | Thousand vigintillion | Vigintilliard | 100040+1 | 100000020.5
... | ... | ... | ... | ...
10153 | Quinquagintillion | Thousand quinvigintillion | Quinvigintilliard | 100050+1 | 100000025.5
... | ... | ... | ... | ...
10180 | Novemquinquagintillion | Trigintillion | 100059+1 | 100000030
10183 | Sexagintillion | Thousand trigintillion | Trigintilliard | 100060+1 | 100000030.5
... | ... | ... | ... | ...
10213 | Septuagintillion | Thousand quintrigintillion | Quintrigintilliard | 100070+1 | 100000035.5
... | ... | ... | ... | ...
10240 | Novemseptuagintillion | Quadragintillion | 100079+1 | 100000040
10243 | Octogintillion | Thousand quadragintillion | Quadragintilliard | 100080+1 | 100000040.5
... | ... | ... | ... | ...
10273 | Nonagintillion | Thousand quinquadragintillion | Quinquadragintilliard | 100090+1 | 100000045.5
... | ... | ... | ... | ...
10300 | Novemnonagintillion | Quinquagintillion | 100099+1 | 100000050
10303 | Centillion | Thousand quinquagintillion | Quinquagintilliard | 1000100+1 | 100000050.5
... |  | ... | ... | ...
10360 |  | Sexagintillion | 1000119+1 | 100000060
10420 |  | Septuagintillion | 1000139+1 | 100000070
10480 |  | Octogintillion | 1000159+1 | 100000080
10540 |  | Nonagintillion | 1000179+1 | 100000090
10600 |  | Centillion | 1000199+1 | 1000000100
10603 | Ducentillion | Thousand Centillion | Centilliard | 1000200+1 | 1000000100.5

There is no consistent and widely accepted way to extend cardinals beyond centillion (centilliard).

#### [edit] Proposed systematic names for powers of 10

| It has been suggested that this article or section be merged with Names of large numbers. (Discuss)

##### [edit] Gillion system

In 2001, Russ Rowlett, Director of the Center for Mathematics and Science Education at the University of North Carolina at Chapel Hill proposed that, to avoid confusion, the Latin based short scale and long scale systems should be replaced by an unambiguous system using Greek-derived numerical prefixes for naming large numbers that would be based on powers of one thousand: [1]

Value | Name
--- | ---
103 | Thousand
106 | Million
109 | Gillion
1012 | Tetrillion
1015 | Pentillion
1018 | Hexillion
1021 | Heptillion
1024 | Oktillion
1027 | Ennillion
1030 | Dekillion

Value | Name
--- | ---
1033 | Hendekillion
1036 | Dodekillion
1039 | Trisdekillion
1042 | Tetradekillion
1045 | Pentadekillion
1048 | Hexadekillion
1051 | Heptadekillion
1054 | Oktadekillion
1057 | Enneadekillion
1060 | Icosillion

Value | Name
--- | ---
1063 | Icosihenillion
1066 | Icosidillion
1069 | Icositrillion
1072 | Icositetrillion
1075 | Icosipentillion
1078 | Icosihexillion
1081 | Icosiheptillion
1084 | Icosioktillion
1087 | Icosiennillion
1090 | Triacontillion

##### [edit] Myriad system

Proposed by Donald E. Knuth:

Value | Name | Notation
--- | --- | ---
100 | One | 1
101 | Ten | 10
102 | Hundred | 100
103 | Ten hundred | 1000
104 | Myriad | 1,0000
105 | Ten myriad | 10,0000
106 | Hundred myriad | 100,0000
107 | Ten hundred myriad | 1000,0000
108 | Myllion | 1;0000,0000
1012 | Myriad myllion | 1,0000;0000,0000
1016 | Byllion | 1:0000,0000;0000,0000
1024 | Myllion byllion | 1;0000,0000:0000,0000;0000,0000
1032 | Tryllion | 1'0000,0000;0000,0000:0000,0000;0000,0000
1064 | Quadryllion | 1'0000,0000;0000,0000:0000,0000;0000,0000​'0000,0000;0000,0000:0000,0000;0000,0000
10128 | Quintyllion | 1'0000,0000;0000,0000:0000,0000;0000,0000​ '0000,0000;0000,0000:0000,0000;0000,0000​ '0000,0000;0000,0000:0000,0000;0000,0000​ '0000,0000;0000,0000:0000,0000;0000,0000
10256 | Sextyllion | 1'0000,0000;0000,0000:0000,0000;0000,0000​ '0000,0000;0000,0000:0000,0000;0000,0000​ '0000,0000;0000,0000:0000,0000;0000,0000​ '0000,0000;0000,0000:0000,0000;0000,0000​ '0000,0000;0000,0000:0000,0000;0000,0000​ '0000,0000;0000,0000:0000,0000;0000,0000​ '0000,0000;0000,0000:0000,0000;0000,0000​ '0000,0000;0000,0000:0000,0000;0000,0000
10512 | Septyllion
101024 | Octyllion
102048 | Nonyllion
104096 | Decyllion
108192 | Undecyllion
1016,384 | Duodecyllion
1032,768 | Tredecyllion
1065,536 | Quattuordecyllion
10131,072 | Quindecyllion
10262,144 | Sexdecyllion
10524,288 | Septendecyllion
101,048,576 | Octodecyllion
102,097,152 | Novemdecyllion
104,194,304 | Vigintyllion
108,388,608 | Cafarolion
1016,777,216 | Saralion
| Quadragintyllion
| Quinquagintyllion
| Sexagintyllion
| Septuagintyllion
| Octogintyllion
| Nonagintyllion
| Centyllion
| Millyllion
| Myryllion

##### [edit] Googol and others

10100 | Googol
1010100 | Googolplex
10-N | N-minex
10N | N-plex

##### [edit] SI-derived

Value | SI prefix | Name | Binary prefix | Value
--- | --- | --- | --- | ---
1 000 | k | Kilo (k) | Ki | 1024
1 000 000 | M | Mega (M) | Mi | 1 048 576
1 000 000 000 | G | Giga | Gi | 1 073 741 824

### [edit] Fractional numbers

This is a table of English names for positive rational numbers less than or equal to 1. It also lists alternative names, but there is no widespread convention for the names of extremely small positive numbers.

Keep in mind that rational numbers like 0.12 can be represented in infinitely many ways, e.g. zero-point-one-two (0.12), twelve percent (12%), three twenty-fifths , nine seventy-fifths , six fiftieths , twelve hundredths , twenty-four two-hundredths , etc.

Value | Fraction | Common names | Alternative names
--- | --- | --- | ---
1 |  | One | 0.999...
0.9 |  | Nine tenths, [zero] point nine
0.8 |  | Four fifths, eight tenths, [zero] point eight
0.7 |  | Seven tenths, [zero] point seven
0.6 |  | Three fifths, six tenths, [zero] point six
0.5 |  | One half, five tenths, [zero] point five
0.4 |  | Two fifths, four tenths, [zero] point four
0.3 (333 333)... |  | One third
0.3 |  | Three tenths, [zero] point three
0.25 |  | One quarter, one fourth, twenty-five hundredths, [zero] point two five
0.2 |  | One fifth, two tenths, [zero] point two
0.16 (666 666)... |  | One sixth
0.142 857 (142 857)... |  | One seventh
0.125 |  | One eighth, one-hundred-[and-]twenty-five thousandths, [zero] point one two five
0.1 (111 111)... |  | One ninth
0.1 |  | One tenth, [zero] point one | One perdecime, one perdime
0.090 (909 090)... |  | One eleventh
0.09 |  | Nine hundredths, [zero] point zero nine
0.083 (333 333)... |  | One twelfth
0.08 |  | Two twenty-fifths, eight hundredths, [zero] point zero eight
0.0625 |  | One sixteenth, six-hundred-[and-]twenty-five ten-thousandths, [zero] point zero six two five
0.05 |  | One twentieth, [zero] point zero five
0.047 619 (047 619)... |  | One twenty-first
0.045 (454 545)... |  | One twenty-second
0.043 478 260 869 565 217 3913 (043 478)... |  | One twenty-third
0.03 (333 333)... |  | One thirtieth
0.016 (666 666)... |  | One sixtieth | One minute
0.012345679 (012345679)... |  | One eighty-first
0.01 |  | One hundredth, [zero] point zero one | One percent
0.001 |  | One thousandth, [zero] point zero zero one | One permille
0.000 27 (777 777)... |  | One thirty-six hundredth | One second
0.000 1 |  | One ten-thousandth, [zero] point zero zero zero one | One myriadth, one permyria, one permyriad, one basis point
0.000 01 |  | One hundred-thousandth | One lakhth, one perlakh
0.000 001 |  | One millionth | One perion, one ppm
0.000 000 1 |  | One ten-millionth | One crorth, one percrore
0.000 000 01 |  | One hundred-millionth | One awkth, one perawk
0.000 000 001 |  | One billionth (in some dialects) | One ppb
0 |  | Zero

## [edit] Irrational and suspected irrational numbers

### [edit] Algebraic numbers

Expression | Approximate value | Notes
--- | --- | ---
| 0.618 033 988 749 894 848 204 586 834 366 | Golden ratio conjugate , reciprocal of and one less than the golden ratio.
| 1.059 463 094 359 295 264 561 825 294 946 | Twelfth root of two. Proportion between the frequencies of adjacent semitones in the equal temperament scale.
| 1.259 921 049 894 873 164 767 210 607 278 | Cube root of two. Length of the edge of a cube with volume two. See doubling the cube for the significance of this number.
n/a | 1.303 577 269 034 296 391 257 099 112 153 | Conway's constant, defined as the unique positive real root of a certain polynomial of degree 71.
| 1.324 717 957 244 746 025 960 908 854 478 | Plastic number, the unique real root of the cubic equation
| 1.414 213 562 373 095 048 801 688 724 210 | Square root of two a.k.a. Pythagoras' constant. Ratio of diagonal to side length in a square. Proportion between the sides of paper sizes in the ISO 216 series (originally DIN 476 series).
| 1.618 033 988 749 894 848 204 586 834 366 | Golden ratio , the larger of the two real roots of
| 1.732 050 807 568 877 293 527 446 341 506 | Square root of three a.k.a. the measure of the fish. Length of the space diagonal of a cube with edge length 1. Length of the diagonal of a rectangle. Altitude of an equilateral triangle with side length 2. Twice the altitude of an equilateral triangle with side length 1.
Altitude of a regular hexagon with side length 1 and diagonal length 2.
| 2.236 067 977 499 789 696 409 173 668 731 | Square root of five. Length of the diagonal of a rectangle. Length of the diagonal of a rectangle. Length of the space diagonal of a rectangular box.
| 2.414 213 562 373 095 048 801 688 724 210 | Silver ratio , the larger of the two real roots of
| 2.449 489 742 783 178 098 197 284 074 706 | = area of a rectangle. Length of the space diagonal of a rectangular box. Length of the diagonal of a rectangle. Length of the diagonal of a rectangle. Length of the diagonal of a square with side length .
| 2.645 751 311 064 590 590 501 615 753 639 | Length of the space diagonal of a rectangular box. Length of the diagonal of a rectangle. Length of the diagonal of a rectangle. Length of the diagonal of a rectangle.
| 2.828 427 124 746 190 097 603 377 448 419 | Volume of a cube with edge length . Length of the diagonal of a square with side length 2. Length of the diagonal of a rectangle. Length of the diagonal of a rectangle. Length of the diagonal of a rectangle.
| 3.162 277 660 168 379 331 998 893 544 433 | = area of a rectangle. Length of the diagonal of a rectangle. Length of the diagonal of a rectangle. Length of the diagonal of a rectangle. Length of the diagonal of a square with side length .
| 3.316 624 790 355 399 849 114 932 736 671 | Length of the space diagonal of a rectangular box. Length of the diagonal of a rectangle. Length of the diagonal of a rectangle. Length of the diagonal of a rectangle. Length of the diagonal of a rectangle.
Length of the diagonal of a rectangle.
| 3.464 101 615 137 754 587 054 892 683 012 | Length of the space diagonal of a cube with edge length 2. Length of the diagonal of a rectangle. Length of the diagonal of a rectangle. Length of the diagonal of a rectangle. Length of the diagonal of a rectangle.
Length of the diagonal of a rectangle.
Length of the diagonal of a square with side length .

### [edit] Transcendental numbers

- Liouville constant: c = 0.110001000000000000000001000...
- Champernowne constant: C10 = 0.12345678910111213141516...
- ii: 0.207879576...
- Copeland–Erdős constant: 0.235711131719232931374143...
- Prouhet–Thue–Morse constant: τ = 0.412454033640...
- Cahen's constant: c = 0.64341054629...
- Gauss's constant: G = 0.8346268...
- Khinchin–Lévy constant: 1.1865691104...[1]
- Favard constant: K1 = 1.57079633...
- log2 3: 1.584962501..., in fact, the logarithm of any positive integer to any integer base greater than one is either rational or transcendental.
- √2√2: 1.6325269...
- Komornik–Loreti constant: q = 1.787231650...
- Parabolic constant: P2 = 2.29558714939...
- Gelfond–Schneider constant: 2.665144143...
- Euler's number: e = 2.718281828459045235360287471353...
- Pi: π = 3.141592653589793238462643383279...
- Tau: τ = 6.283185307179586...[citation needed]
- Gelfond's constant: 23.14069263277925...
- Ramanujan's constant: e(π√163) = 262537412640768743.99999999999925...

#### [edit] Suspected transcendentals

- Heath-Brown–Moroz constant: C = 0.001317641...
- Kepler–Bouwkamp constant: 0.1149420448...
- MRB constant: 0.187859...
- Meissel–Mertens constant: M = 0.2614972128476427837554268386086958590516...
- Bernstein's constant: β = 0.2801694990...
- Strongly carefree constant: 0.286747...
- Gauss–Kuzmin–Wirsing constant: λ1 = 0.3036630029...[2]
- Hafner–Sarnak–McCurley constant: 0.3532363719...
- Artin's constant: 0.3739558136...
- Prime constant: ρ = 0.414682509851111660248109622...
- Carefree constant: 0.428249...
- Omega constant: Ω = 0.5671432904097838729999686622...
- Stephens' constant: 0.575959...
- Euler–Mascheroni constant: γ = 0.577215664901532860606512090082...
- Golomb–Dickman constant: λ = 0.62432998854355087099293638310083724...
- Twin prime constant: C2 = 0.660161815846869573927812110014...
- Feller-Tornier constant: 0.661317...
- Laplace limit: ε = 0.6627434193...[3]
- Taniguchi's constant: 0.678234...
- ln 2: 0.693147180559945309417232121458...
- Embree–Trefethen constant: β* = 0.70258...
- Sarnak's constant: 0.723648...
- Landau–Ramanujan constant: 0.76422365358922066299069873125...
- Brun's constant for prime quadruplets: B2 = 0.8705883800...
- Quadratic class number constant: 0.881513...
- Catalan's constant: G = 0.915965594177219015054603514932384110774...
- Viswanath's constant: σ(1) = 1.13198824...
- Apéry's constant: ζ(3) = 1.202056903159594285399738161511449990764986292...
- Vardi's constant: E = 1.264084735305...
- Glaisher–Kinkelin constant: A = 1.28242712...
- Mills' constant: A = 1.30637788386308069046...
- Totient summatory constant: 1.339784...
- Ramanujan–Soldner constant: μ = 1.451369234883381050283968485892027449493…
- Backhouse's constant: 1.456074948...
- Lieb's square ice constant: 1.5396007...
- √2s: 1.559610469...
- Erdős–Borwein constant: E = 1.606695152415291763...
- Somos' quadratic recurrence constant: σ = 1.661687949633594121296...
- Niven's constant: c = 1.705211...
- Brun's constant: B2 = 1.902160583104...
- Landau's totient constant: 1.943596...
- Feigenbaum constant: α = 2.5029...
- Sierpiński's constant: K = 2.5849817595792532170658936...
- Barban's constant: 2.596536...
- Khinchin's constant: K0 = 2.685452001...[4]
- Fransén–Robinson constant: F = 2.8077702420...
- Murata's constant: 2.826419...
- Lévy's constant: γ = 3.275822918721811159787681882...
- Reciprocal Fibonacci constant: ψ = 3.359885666243177553172011302918927179688905133731...
- Feigenbaum constant: δ = 4.6692...

### [edit] Numbers not known with high precision

- Landau's constant: 0.4330 < B < 0.472
- Landau's constant: 0.5 < L < 0.544
- Landau's constant: 0.5 < A < 0.7853
- Grothendieck constant: 1.67 < k < 1.79

## [edit] Hypercomplex numbers

### [edit] Algebraic complex numbers

- Imaginary unit:
- nth roots of unity:

### [edit] Other hypercomplex numbers

- The quaternions
- The octonions
- The sedenions
- The dual numbers (with an infinitesimal)

## [edit] Transfinite numbers

- Infinity in general:
- Aleph-null:
- Aleph-one:
- Beth-one: () is the cardinality of the continuum:

## [edit] Numbers representing measured quantities

- Pair: 2 (the base of the binary numeral system)
- Dozen: 12 (the base of the duodecimal numeral system)
- Baker's dozen: 13
- Score: 20 (the base of the vigesimal numeral system)
- Gross: 144 (= 122)
- Great gross: 1728 (= 123)

## [edit] Numbers representing scientific quantities

- Planck constant: h = 6.6260689633... × 10–34 Js
- Electronvolt: eV = 1.60217648740... × 10–19 J
- Electron relative atomic mass: Ar(e) = 0.0005485799094323...
- Molar mass constant: Mu = 0.001 kg/mol
- Fine structure constant: α = 0.007297352537650...
- Rydberg constant: R∞ = 10973731.56852773... m−1
- Speed of light in vacuum: c = 299792458 m/s
- Avogadro constant: NA = 6.0221417930... × 1023 mol−1

## [edit] Numbers without specific values

Main article: Indefinite and fictitious numbers

## [edit] Bases

- Base −10 (negadecimal)
- Base −3 (negaternary)
- Base −2 (negabinary)
- Base 1 (unary)
- Base 2 (binary)
- Base 3 (ternary or trinary, see also balanced ternary)
- Base 4 (quaternary)
- Base 5 (quinary)
- Base 6 (senary or heximal)
- Base 7 (septenary)
- Base 8 (octal)
- Base 9 (nonary)
- Base 10 (decimal)
- Base 11 (undecimal)
- Base 12 (duodecimal or dozenal)
- Base 13 (tridecimal or tredecimal)
- Base 14 (tetradecimal)
- Base 15 (pentadecimal)
- Base 16 (hexadecimal)
- Base 20 (vigesimal)
- Base 24 (quadrovigesimal)
- Base 26 (hexavigesimal)
- Base 27 (septemvigesimal)
- Base 30 (trigesimal)
- Base 32 (duotrigesimal)
- Base 36 (hexatridecimal, sexatrigesimal or hexatrigesimal)
- Base 60 (sexagesimal)
- Mixed radix
- Non-integer base (base φ, base plastic number, base e, base π, base √2)
- Complex base (base 2i, base −1±i)

See also positional systems of numeral system for bases which might not be listed here.

## [edit] See also

- English-language numerals
- Numbers in various languages
- Number prefix
- Floating point
- Fraction (mathematics)
- Interesting number paradox
- Large number
- List of prime numbers
- Mathematical constant
- Names of large numbers
- Negative number
- Number names
- Orders of magnitude (numbers)
- Ordinal number
- The Penguin Dictionary of Curious and Interesting Numbers
- SI prefix
- Small number
- Surreal number
- Table of prime factors

## [edit] Notes

1. ^ Rowlett, Russ (2001-11-01). "Names for large numbers". University of North Carolina. http://www.unc.edu/~rowlett/units/large.html. Retrieved 2008-01-31.

## [edit] Further reading

- Kingdom of Infinite Number: A Field Guide by Bryan Bunch, W.H. Freeman & Company, 2001. ISBN 0-7167-4447-3

## [edit] External links

- The Database of Number Correlations: 1 to 2000+
- What's Special About This Number? A Zoology of Numbers: from 0 to 500
- See how to write big numbers
- The MegaPenny Project - Visualizing big numbers
- About big numbers
- Robert P. Munafo's Large Numbers page
- Different notations for big numbers - by Susan Stepney
- Names for Large Numbers, in How Many? A Dictionary of Units of Measurement by Russ Rowlett
- What's Special About This Number? (from 0 to 9999)

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