FANDOM


A quadragintillion is equal to 10123 in America, or 10240 in France and Germany.[1]

In the long scale which is commonly used in France and Germany, \(10^{123}\) is called vigintilliard.

Approximations

For short scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{123}\)
Arrow notation \(10\uparrow123\)
Steinhaus-Moser Notation 67[3] 68[3]
Copy notation 9[123] 10[62]
Taro's multivariable Ackermann function A(3,405) A(3,406)
Pound-Star Notation #*(5,1,8,4,7,1,5,7)*8 #*(6,1,8,4,7,1,5,7)*8
BEAF {10,123}
Hyper-E notation E123
Bashicu matrix system (0)(0)(0)(0)(0)[6978] (0)(0)(0)(0)(0)[6979]
Hyperfactorial array notation 82! 83!
Fast-growing hierarchy \(f_2(399)\) \(f_2(400)\)
Hardy hierarchy \(H_{\omega^2}(399)\) \(H_{\omega^2}(400)\)
Slow-growing hierarchy \(g_{\omega^{\omega^2+\omega2+3}}(10)\)

For long scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{240}\)
Arrow notation \(10\uparrow240\)
Steinhaus-Moser Notation 116[3] 117[3]
Copy notation 9[240] 1[241]
Taro's multivariable Ackermann function A(3,794) A(3,795)
Pound-Star Notation #*((187))*10 #*((188))*10
BEAF {10,240}
Hyper-E notation E240
Bashicu matrix system (0)(0)(0)(0)(0)(0)[5623] (0)(0)(0)(0)(0)(0)[5624]
Hyperfactorial array notation 139! 140!
Fast-growing hierarchy \(f_2(787)\) \(f_2(788)\)
Hardy hierarchy \(H_{\omega^2}(787)\) \(H_{\omega^2}(788)\)
Slow-growing hierarchy \(g_{\omega^{\omega^22+\omega4}}(10)\)

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. Quadragintillion at Notes on Big Numbers

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