Septuagintillion

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

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

Approximations

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 septuagintillion

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

See also

Standard -illion numbers 10^{3n + 3} (10⁶ⁿ)

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 · trimill · quadrimill · quadrimilliquattuordecicent · quinmill · sexmill · septimill · octimill · nonimill · myr · dumyr · unquadragintamilliunquinquagintacent · centimill · micr · nan · pic · femt · att · zept · yoct