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- For Tiaokhiao's decillion, see nonillion.
A decillion is equal to 1033 in short scale, or 1060 in long scale.[1] 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.[2]
Aarex Tiaokhiao gave the name mecillion, referring to the value of this number.[3]
Wikia user NumLynx gave the name undecisand for this number.[4]
BlankEntity calls this number Doocol.[5]
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.[6]
- The prefix tenakilo- multiplies by one decillion.
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 | |
| 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 | |
| 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
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- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
50–59: quinquagintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
60–69: sexagintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
70–79: septuagintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
80–89: octogintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
90–99: nonagintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
100–900: centillion · ducent · trecent · quadringent · quingent · sescent · septuagintisescent · septingent · octingent · nongent
1,000–1024: 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
