Names of large numbers
Numbers that are larger than one million are usually either shown using scientific notation, or by words.[1]
History
The words billion and trillion, and millions were first written to describe extremely large numbers in 1475 by Jehan Adam. In 1484, Nicolas Chuquet used the words million, billion, trillion, decillion, and even further to write and describe much larger numbers.[2] For example, Adam's billion (Chuquet's (bi)llion) was used to write 1012.[3] While these were the first writings that used these words, Adam and Chuquet were probably not the creators of the words. The word million comes from the Old Italian millione.[2][4] These words were most likely used a lot before the books were written.[2]
Examples of large numbers
| Number | Scientific notation | Grouping |
|---|---|---|
| 6 000 000 000 000 000 | 6 × 1015 | 6 quadrillion |
| 765 476 250 000 000 | 7.6547625 × 1014 | 765 trillion, 476 billion, 250 million |
| 145 000 | 1.45 × 105 | 145 thousand |
Names for large numbers
(For "missing" numbers, like 10^26, say "100 Septillion")
| Scientific notation |
Short Scale | Long Scale | SI Symbol | Metric prefix |
|---|---|---|---|---|
| 1 | One | One | ||
| 10 | Ten | Ten | da | Deca- |
| 100 | Hundred | Hundred | h | Hecto- |
| 1000 | Thousand | Thousand | k | Kilo- |
| 10000 | Ten thousand | Ten thousand | my | Myria- |
| 100000 | Hundred thousand | Hundred thousand | ||
| 106 | Million | Million | M | Mega- |
| 109 | Billion | Milliard | G | Giga- |
| 1012 | Trillion | Billion | T | Tera- |
| 1015 | Quadrillion | Billiard | P | Peta- |
| 1018 | Quintillion | Trillion | E | Exa- |
| 1021 | Sextillion | Trilliard | Z | Zetta- |
| 1024 | Septillion | Quadrillion | Y | Yotta- |
| 1027 | Octillion | Quadrilliard | R | Ronna- |
| 1030 | Nonillion | Quintilion | Q | Quetta- |
| 1033 | Decillion | Quintilliard | ||
| 1036 | Undecillion | Sextillion | ||
| 1039 | Duodecillion | Sextilliard | ||
| 1042 | Tredecillion | Septillion | ||
| 1045 | Quattuordecillion | Septilliard | ||
| 1048 | Quindecillion | Octillion | ||
| 1051 | Sexdecillion | Octilliard | ||
| 1054 | Septendecillion | Nonillion | ||
| 1057 | Octodecillion | Nonilliard | ||
| 1060 | Novemdecillion | Decillion | ||
| 1063 | Vigintillion | Decilliard | ||
| 1066 | Unvigintillion | Undecillion | ||
| 1069 | Duovigintillion | Undecilliard | ||
| 1072 | Trevigintillion | Duodecillion | ||
| 1075 | Quattuorvigintillion | Duodecilliard | ||
| 1078 | Quinvigintillion | Tredecillion | ||
| 1081 | Sexvigintillion | Tredecilliard | ||
| 1084 | Septenvigintillion | Quattuordecillion | ||
| 1087 | Octovigintillion | Quattuordecilliard | ||
| 1090 | Novemvigintillion | Quindecillion | ||
| 1093 | Trigintillion | Quindecilliard | ||
| 1096 | Untrigintillion | Sexdecillion | ||
| 1099 | Duotrigintillion | Sexdecilliard | ||
| 10100 | Googol | Googol | ||
| 10123 | Quadragintillion | Vigintilliard | ||
| 10153 | Quinquagintillion | |||
| 10183 | Sexagintillion | |||
| 10213 | Septuagintillion | |||
| 10243 | Octogintillion | |||
| 10273 | Nonagintillion | |||
| 10303 | Centillion | Quinquagintilliard | ||
| 10600 | Centillion | |||
| 10603 | Ducentillion | |||
| 103003 | Millinillion | |||
| 103,000,003 | Micrillion | |||
| 1010100 | Googolplex | |||
| 101010³⁴ | Skewes’ Number | |||
| 101010¹⁰⁰ | Googolplexian | |||
| G64 | Graham's Number | |||
| TREE(3) | Tree 3 | |||
| Rayo(10¹⁰⁰) | Rayo's Number | |||
| ∞ | Infinite | |||
| Ω | Absolute Infinity |
There is also the number googol, which is a 1 with 100 zeros behind it (10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000), and the number googolplex, which is a 1 with a googol of zeros behind it, (1010,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000) (1010100). The number googolplexian, is a 1 with a googolplex number of zeros behind it (101010100).
The name centillion was made in the 19th century for the 100th "illion", being 10303 in the short scale and 10600 in the long scale.
Other websites
- Pointless Big Numbers
- Naming Large Numbers Archived 2022-08-11 at the Wayback Machine
References
- ↑ "Names of Large Numbers | Billion, Trillion, Googolplex | Britannica". www.britannica.com. Retrieved 2024-05-30.
- 1 2 3 Flegg, Graham (1985). Flegg, Cynthia; Moss, Barbara (eds.). Nicolas Chuquet, Renaissance Mathematician. D. Reidel. p. 29. ISBN 978-90-277-1872-3.
- ↑ "Large Numbers -- Notes (page 2) at MROB". www.mrob.com. Retrieved 2024-05-30.
- ↑ "Definition of MILLION". www.merriam-webster.com. 2024-05-26. Retrieved 2024-05-30.