Octoquadragintillion

View full site to see MathJax equation

An octoquadragintillion is equal to \(10^{147}\) or \(10^{288}\) in France and Germany by Conway-Wechsler system.

In the long scale which is commonly used in France and Germany, \(10^{147}\) is called quattuorvigintilliard.

Decimal expansion

In short scale:

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

In long scale:

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Approximations

For short scale:

Notation	Lower bound	Upper bound
Scientific notation	\(1\times10^{147}\)
Arrow notation	\(10\uparrow147\)
Steinhaus-Moser Notation	77[3]	78[3]
Copy notation	9[147]	10[74]
Taro's multivariable Ackermann function	A(3,485)	A(3,486)
Pound-Star Notation	#*(13,12,11,12,5,1,5,6)*10	#*(14,3,9,6,4,0,3,1)*11
BEAF	{10,147}
Hyper-E notation	E147
Bashicu matrix system	(0)(0)(0)(0)(0)[39241]	(0)(0)(0)(0)(0)[39242]
Hyperfactorial array notation	94!	95!
Fast-growing hierarchy	\(f_2(479)\)	\(f_2(480)\)
Hardy hierarchy	\(H_{\omega^2}(479)\)	\(H_{\omega^2}(480)\)
Slow-growing hierarchy	\(g_{\omega^{\omega^2+\omega4+7}}(10)\)

For logn scale:

Notation	Lower bound	Upper bound
Scientific notation	\(1\times10^{288}\)
Arrow notation	\(10\uparrow288\)
Steinhaus-Moser Notation	135[3]	136[3]
Copy notation	9[288]	1[289]
Taro's multivariable Ackermann function	A(3,953)	A(3,954)
Pound-Star Notation	#*((60))*11	#*((61))*11
BEAF	{10,288}
Hyper-E notation	E288
Bashicu matrix system	(0)(0)(0)(0)(0)(0)[31622]	(0)(0)(0)(0)(0)(0)[31623]
Hyperfactorial array notation	161!	162!
Fast-growing hierarchy	\(f_2(946)\)	\(f_2(947)\)
Hardy hierarchy	\(H_{\omega^2}(946)\)	\(H_{\omega^2}(947)\)
Slow-growing hierarchy	\(g_{\omega^{\omega^22+\omega8+8}}(10)\)

List of prefixed numbers derived from quadragintillion

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

See also

Standard -illion numbers 10³ⁿ⁺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 · tresvigint · quattuorvigint · quinvigint · sesvigint · septemvigint · octovigint · novemvigint
30–39: trigintillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
40–49: quadragintillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
50–59: quinquagintillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
60–69: sexagintillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
70–79: septuagintillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
80–89: octogintillion (un- · duo- · tres- · quattuor- · quin- · sex- · septem- · octo- · novem-)
90–99: nonagintillion (un- · duo- · tre- · quattuor- · quin- · se- · septe- · octo- · nove-)
100–900: centillion · ducent · trecent · quadringent · quingent · sescent · septingent · octingent · nongent
1,000–10³⁰: 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 · ront · quect