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Not to be confused with quinquagintillion.

A quinquadragintillion is equal to \(10^{138}\) or \(10^{270}\) in France and Germany.[1]

In the long scale which is commonly used in France and Germany, \(10^{138}\) is called trevigintillion.

The lifetime of our universe is about 10 quinquadragintillion years.[2]

Approximations

For short scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{138}\)
Arrow notation \(10\uparrow138\)
Steinhaus-Moser Notation 73[3] 74[3]
Copy notation 9[138] 1[139]
Taro's multivariable Ackermann function A(3,455) A(3,456)
Pound-Star Notation #*(3,2,7,11,8,2,9,1)*10 #*(5,11,7,12,11,1)*16
BEAF {10,138}
Hyper-E notation E138
Bashicu matrix system (0)(0)(0)(0)(0)[20535] (0)(0)(0)(0)(0)[20536]
Hyperfactorial array notation 89! 90!
Fast-growing hierarchy \(f_2(449)\) \(f_2(450)\)
Hardy hierarchy \(H_{\omega^2}(449)\) \(H_{\omega^2}(450)\)
Slow-growing hierarchy \(g_{\omega^{\omega^2+\omega3+8}}(10)\)

For long scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{270}\)
Arrow notation \(10\uparrow270\)
Steinhaus-Moser Notation 128[3] 129[3]
Copy notation 9[270] 1[271]
Taro's multivariable Ackermann function A(3,893) A(3,894)
Pound-Star Notation #*((7101))*10 #*((7102))*10
BEAF {10,270}
Hyper-E notation E270
Bashicu matrix system (0)(0)(0)(0)(0)(0)[16548] (0)(0)(0)(0)(0)(0)[16549]
Hyperfactorial array notation 153! 154!
Fast-growing hierarchy \(f_2(887)\) \(f_2(888)\)
Hardy hierarchy \(H_{\omega^2}(887)\) \(H_{\omega^2}(888)\)
Slow-growing hierarchy \(g_{\omega^{\omega^22+\omega7}}(10)\)

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. Very big numbers on Skynet
  2. https://journals.aps.org/prd/pdf/10.1103/PhysRevD.97.056006

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