- Not to be confused with duoduecillion.
A duodecillion is equal to 1039 in America, or 1072 in France and Germany.[1][2]
In his novel Postsingular, Rudy Rucker jokingly used the term umptisqiuddlyzillion to refer to the American value of this number.[3]
In the long scale, 1039 is called sextilliard, which is commonly used in France and Germany.
This number is also called trisdekillion in Russ Rowlett's Greek-based naming system,[4] and doedecillion by Jonathan Bowers.[5]
Aarex Tiaokhiao gave the name trecillion, referring to the value of this number.[6]
Wikia user NumLynx gave the name tredecisand for this number's short scale value.[7]
DeepLineMadom calls the number troo-netritol, and is equal to 10[3]39 in DeepLineMadom's Array Notation.[8]
Decimal[]
- 1,000,000,000,000,000,000,000,000,000,000,000,000,000 - short scale
- 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 - long scale
Examples[]
- The great lakes contain roughly 52.92 duodecillion water molecules[9]
- The luminosity of the average quasar is about a duodecillion watts
- The prefix tenagiga- multiplies by one duodecillion.
Approximations[]
For short scale:
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{39}\) | |
| Arrow notation | \(10\uparrow39\) | |
| Steinhaus-Moser Notation | 27[3] | 28[3] |
| Copy notation | 9[39] | 10[20] |
| Taro's multivariable Ackermann function | A(3,126) | A(3,127) |
| Pound-Star Notation | #*(5,2,1,5,9)*5 | #*(6,2,1,5,9)*5 |
| BEAF | {10,39} | |
| Hyper-E notation | E39 | |
| Bashicu matrix system | (0)(0)(0)[74989] | (0)(0)(0)[74990] |
| Hyperfactorial array notation | 34! | 35! |
| Fast-growing hierarchy | \(f_2(122)\) | \(f_2(123)\) |
| Hardy hierarchy | \(H_{\omega^2}(122)\) | \(H_{\omega^2}(123)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega3+9}}(10)\) | |
For long scale:
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{72}\) | |
| Arrow notation | \(10\uparrow72\) | |
| Steinhaus-Moser Notation | 43[3] | 44[3] |
| Copy notation | 9[72] | 1[73] |
| Taro's multivariable Ackermann function | A(3,236) | A(3,237) |
| Pound-Star Notation | #*(11,8,8,7,7,2)*8 | #*(0,9,8,7,7,2)*8 |
| BEAF | {10,72} | |
| Hyper-E notation | E72 | |
| Bashicu matrix system | (0)(0)(0)(0)[31622] | (0)(0)(0)(0)[31623] |
| Hyperfactorial array notation | 54! | 55! |
| Fast-growing hierarchy | \(f_2(231)\) | \(f_2(232)\) |
| Hardy hierarchy | \(H_{\omega^2}(231)\) | \(H_{\omega^2}(232)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega7+2}}(10)\) | |
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 Duodecillion
- ↑ Duodecillion at Wolfram MathWorld
- ↑ [1]
- ↑ Names for Large Numbers
- ↑ Bowers, Jonathan. -Illion numbers
- ↑ Aarex Tiaokhiao's illion numbers
- ↑ -sand numbers. Retrieved 2021-10-29.
- ↑ Pointless Googolplex Stuffs - DLMAN Part 1 (retrieved 9 November 2024)
- ↑ Saibian, Sbiis. Larger numbers in science.
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