- For Tiaokhiao's decillion, see nonillion.
A decillion is equal to 1033 in short scale, or 1060 in long scale.[1][2][3] It is 34 digits long in short scale, and 61 digits long in long scale.
In the long scale, 1033 is called quintilliard, which is commonly used in France and Germany.
This number is also called hendekillion in Russ Rowlett's Greek-based naming system.[4]
Aarex Tiaokhiao gave the name mecillion, referring to the value of this number.[5]
Wikia user NumLynx gave the name undecisand for this number.[6]
BlankEntity calls this number Doocol.[7]
DeepLineMadom calls the number troo-tratritol, and is equal to 10[3]33 in DeepLineMadom's Array Notation.[8]
This number can be imagined as a cube with a sidelength of 100 billion.
Decimal[]
- 1,000,000,000,000,000,000,000,000,000,000,000 - short scale
- 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 - long scale
Examples[]
- The mass of the sun is about 1.989 decillion grams.
- The Area of the Milky Way galaxy is approximately 702 decillion square kilometers.[9]
- The prefix tenakilo- multiplies by one decillion.
- The total number of picoseconds ever lived by humanity is equal to around 15-20% from decillion.
- 1 decillion is the largest power to 10 known to humans that can be represented as the product of 2 numbers which themselves contain no zero digits:[10] 1033 = 233 x 533 = 8589934592 x 116415321826934814453125
Approximations[]
For short scale:
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{33}\) | |
| Arrow notation | \(10\uparrow33\) | |
| Steinhaus-Moser Notation | 23[3] | 24[3] |
| Copy notation | 9[33] | 10[17] |
| Taro's multivariable Ackermann function | A(3,106) | A(3,107) |
| Pound-Star Notation | #*(4,6,4,0,2)*5 | #*(1,0,1,3)*7 |
| BEAF | {10,33} | |
| Hyper-L Notation | L(33) | |
| Hyper-E notation | E33 | |
| s(n) map | \(s(1)^2(\lambda x.x+1)(102)\) | \(s(1)^2(\lambda x.x+1)(103)\) |
| m(n) map | m(1)(23) | m(1)(24) |
| Bashicu matrix system | (0)(0)(0)[13335] | (0)(0)(0)[13336] |
| Hyperfactorial array notation | 30! | 31! |
| Fast-growing hierarchy | \(f_2(102)\) | \(f_2(103)\) |
| Hardy hierarchy | \(H_{\omega^2}(102)\) | \(H_{\omega^2}(103)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega3+3}}(10)\) | |
For long scale:
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{60}\) | |
| Arrow notation | \(10\uparrow60\) | |
| Steinhaus-Moser Notation | 37[3] | 38[3] |
| Copy notation | 9[60] | 1[61] |
| Taro's multivariable Ackermann function | A(3,196) | A(3,197) |
| Pound-Star Notation | #*(9,5,0,3,3,7)*6 | #*(0,6,0,3,3,7)*6 |
| BEAF | {10,60} | |
| Hyper-L Notation | L(60) | |
| Hyper-E notation | E60 | |
| s(n) map | \(s(1)^2(\lambda x.x+1)(191)\) | \(s(1)^2(\lambda x.x+1)(192)\) |
| m(n) map | m(1)(37) | m(1)(38) |
| Bashicu matrix system | (0)(0)(0)(0)[5623] | (0)(0)(0)(0)[5624] |
| Hyperfactorial array notation | 47! | 48! |
| Fast-growing hierarchy | \(f_2(191)\) | \(f_2(192)\) |
| Hardy hierarchy | \(H_{\omega^2}(191)\) | \(H_{\omega^2}(192)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega6}}(10)\) | |
List of prefixed numbers derived from decillion[]
| Name | Short scale | Long scale |
|---|---|---|
| undecillion | 1036 | 1066 |
| duodecillion | 1039 | 1072 |
| tredecillion | 1042 | 1078 |
| quattuordecillion | 1045 | 1084 |
| quindecillion | 1048 | 1090 |
| sexdecillion | 1051 | 1096 |
| septendecillion | 1054 | 10102 |
| octodecillion | 1057 | 10108 |
| novemdecillion | 1060 | 10114 |
Sources[]
- ↑ Merriam-Webster Dictionary Decillion
- ↑ Conway and Guy. The Book of Numbers. Copernicus. 1995. ISBN 978-0387979939 p.16
- ↑ Decillion at Wolfram MathWorld
- ↑ Names for Large Numbers
- ↑ Aarex Tiaokhiao's illion numbers
- ↑ -sand numbers. Retrieved 2021-10-29.
- ↑ BlankEntity's Googology Site
- ↑ Pointless Googolplex Stuffs - DLMAN Part 1 (retrieved 9 November 2024)
- ↑ Saibian, Sbiis. Larger numbers in science.
- ↑ Clifford A. Pickover (2002) Wonders of Numbers: Adventures in Mathematics, Mind, and Meaning. Oxford University Press. ISBN 978-0195157994 pp.201-202, p.353.
See also[]
Main article: -illion
1–9: million · billion · trillion · quadr · quint · sext · sept · oct · non10–19: decillion · undec · duodec · tredec · quattuordec · quindec · sexdec · septendec · octodec · novemdec
20–29: vigintillion · unvigint · duovigint · tresvigint · quattuorvigint · quinvigint · sesvigint · septemvigint · octovigint · novemvigint
30–39: trigintillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
40–49: quadragintillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
50–59: quinquagintillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
60–69: sexagintillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
70–79: septuagintillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
80–89: octogintillion (un- · duo- · tres- · quattuor- · quin- · sex- · septem- · octo- · novem-)
90–99: nonagintillion (un- · duo- · tre- · quattuor- · quin- · se- · septe- · octo- · nove-)
100–900: centillion · ducent · trecent · quadringent · quingent · sescent · septingent · octingent · nongent
1,000–1030: millillion · dumill · dumillinonagintanongent · trimill · trimilliduotrigintatrecent · trimillisexoctogintaoctingent · quadrimill · quadrimilliquattuordecicent · quinmill · sexmill · septimill · octimill · nonimill · myr · decimilliquinsexagintasescent · dumyr · unquadragintamilliunquinquagintacent · centimill · micr · nan · pic · femt · att · zept · yoct · ront · quect