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A duodecillion is equal to 1039 in America, or 1072 in France and Germany.[1]

In his novel Postsingular, Rudy Rucker jokingly used the term umptisqiuddlyzillion to refer to the American value of this number.[2]

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,[3] and doedecillion by Jonathan Bowers.[4]

Aarex Tiaokhiao gave the name trecillion, referring to the value of this number.[5]

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[6]
  • 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

  1. Duodecillion at Wolfram MathWorld
  2. [1]
  3. Names for Large Numbers
  4. Bowers, Jonathan. -Illion numbers
  5. Aarex Tiaokhiao's illion numbers
  6. Saibian, Sbiis. Larger numbers in science.

See also

Main article: -illion
1–9: million · billion · trillion · quadr · quint · sext · sept · oct · non
10–19: decillion · undec · duodec · tredec · quattuordec · quindec · sexdec · septendec · octodec · novemdec
20–29: vigintillion · unvigint · duovigint · trevigint · quattuorvigint · quinvigint · sexvigint · septenvigint · octovigint · novemvigint
30–39: trigintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
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 · unviginticent · ducent · trecent · duotrigintatrecent · quadringent · quingent · sescent · septuagintisescent · septingent · octingent · nongent
1,000–1024: millillion · dumill · trimill · quadrimill · quinmill · sexmill · septimill · octimill · nonimill · myr · centimill · micr · nan · pic · femt · att · zept · yoct