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A duoquadragintillion is equal to 10129 in the short scale, or \(10^{252}\) in the long scale by Conway and Guy's naming system.[1][2][3][4]

Sbiis Saibian says that Jonathan Bowers coined doequadragintillion for this number.[5]

In the long scale which is commonly used in France and Germany, \(10^{129}\) is called unvigintilliard.

Approximations

For short scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{129}\)
Arrow notation \(10\uparrow129\)
Steinhaus-Moser Notation 69[3] 70[3]
Copy notation 9[129] 10[65]
Taro's multivariable Ackermann function A(3,425) A(3,426)
Pound-Star Notation #*(3,10,8,1,5,9,8,2)*9 #*(4,10,8,1,5,9,8,2)*9
BEAF {10,129}
Hyper-E notation E129
Bashicu matrix system (0)(0)(0)(0)(0)[10746] (0)(0)(0)(0)(0)[10747]
Hyperfactorial array notation 85! 86!
Fast-growing hierarchy \(f_2(419)\) \(f_2(420)\)
Hardy hierarchy \(H_{\omega^2}(419)\) \(H_{\omega^2}(420)\)
Slow-growing hierarchy \(g_{\omega^{\omega^2+\omega2+9}}(10)\)

For long scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{252}\)
Arrow notation \(10\uparrow252\)
Steinhaus-Moser Notation 120[3] 121[3]
Copy notation 9[252] 1[253]
Taro's multivariable Ackermann function A(3,834) A(3,835)
Pound-Star Notation #*((801))*10 #*((802))*10
BEAF {10,252}
Hyper-E notation E252
Bashicu matrix system (0)(0)(0)(0)(0)(0)[8659] (0)(0)(0)(0)(0)(0)[8660]
Hyperfactorial array notation 145! 146!
Fast-growing hierarchy \(f_2(827)\) \(f_2(828)\)
Hardy hierarchy \(H_{\omega^2}(827)\) \(H_{\omega^2}(828)\)
Slow-growing hierarchy \(g_{\omega^{\omega^22+\omega5+2}}(10)\)

List of prefixed numbers derived from quadragintillion

Name Short scale Long scale
unquadragintillion 10126 10246
duoquadragintillion 10129 10252
trequadragintillion 10132 10258
quattuorquadragintillion 10135 10264
quinquadragintillion 10138 10270
sexquadragintillion 10141 10276
septenquadragintillion 10144 10282
octoquadragintillion 10147 10288
novemquadragintillion 10150 10294

Sources

  1. Conway and Guy. (1995) "The book of Numbers" Copernicus
  2. Steve Olsen, Big-Ass Numbers
  3. The Conway-Wechsler System
  4. Conway's zillion numbers. Retrieved 2021-07-28.
  5. Saibian, Sbiis. 2.4.8 Bowers' -illions - Large Numbers. Retrieved 2021-07-28.

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 · unsexagintacent · ducent · trecent · duotrigintatrecent · 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
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