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A septuagintillion is equal to 10213 in America, or 10420 in France and Germany.[1]

In the long scale which is commonly used in France and Germany, 10213 is called quintrigintilliard.

ApproximationsEdit

For short scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{213}\)
Arrow notation \(10\uparrow213\)
Steinhaus-Moser Notation 105[3] 106[3]
Copy notation 9[213] 10[107]
Taro's multivariable Ackermann function A(3,704) A(3,705)
Pound-Star Notation #*((4913))*9 #*((4914))*9
BEAF {10,213}
Hyper-E notation E213
Bashicu matrix system (0)(0)(0)(0)(0)(0)[2128] (0)(0)(0)(0)(0)(0)[2129]
Hyperfactorial array notation 126! 127!
Fast-growing hierarchy \(f_2(698)\) \(f_2(699)\)
Hardy hierarchy \(H_{\omega^2}(698)\) \(H_{\omega^2}(699)\)
Slow-growing hierarchy \(g_{\omega^{\omega^22+\omega+3}}(10)\)

For long scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{420}\)
Arrow notation \(10\uparrow420\)
Steinhaus-Moser Notation 185[3] 186[3]
Copy notation 9[420] 1[421]
Taro's multivariable Ackermann function A(3,1392) A(3,1393)
Pound-Star Notation #*((39))*13 #*((40))*13
BEAF {10,420}
Hyper-E notation E420
Bashicu matrix system (0)(0)(0)(0)(0)(0)(0)[1910] (0)(0)(0)(0)(0)(0)(0)[1911]
Hyperfactorial array notation 219! 220!
Fast-growing hierarchy \(f_2(1\,384)\) \(f_2(1\,385)\)
Hardy hierarchy \(H_{\omega^2}(1\,384)\) \(H_{\omega^2}(1\,385)\)
Slow-growing hierarchy \(g_{\omega^{\omega^24+\omega2}}(10)\)

List of prefixed numbers derived from septuagintillionEdit

Name Short scale Long scale
unseptuagintillion 10216 10426
duoseptuagintillion 10219 10432
treseptuagintillion 10222 10438
quattuorseptuagintillion 10225 10444
quinseptuagintillion 10228 10450
sexseptuagintillion 10231 10456
septenseptuagintillion 10234 10462
octoseptuagintillion 10237 10468
novemseptuagintillion 10240 10474

Sources Edit

  1. Septuagintillion at Notes on Big Numbers

See also Edit

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 · primo-vigesimo-cent · ducent · trecent · duotrigintatrecent · quadringent · quingent · sescent · septuagintisescent · septingent · octingent · nongent
1000–1024: millillion · dumill · trimill · quadrimill · quinmill · sexmill · septimill · octimill · nonimill · myr · centimill · micr · nan · pic · femt · att · zept · yoct