Quinquinquagintillion

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A quinquinquagintillion is equal to 10¹⁶⁸ in America, or 10³³⁰ in France and Germany by Conway-Wechsler system.

In the long scale which is commonly used in France and Germany, 10¹⁶⁸ is called octovigintillion.

Decimal expansion

In short scale:

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

In long scale:

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Approximations

For short scale:

Notation	Lower bound	Upper bound
Scientific notation	\(1\times10^{168}\)
Arrow notation	\(10\uparrow168\)
Steinhaus-Moser Notation	86[3]	87[3]
Copy notation	9[168]	1[169]
Taro's multivariable Ackermann function	A(3,555)	A(3,556)
Pound-Star Notation	#*((11))*9	#*((12))*9
BEAF	{10,168}
Hyper-E notation	E168
Bashicu matrix system	(0)(0)(0)(0)(0)(0)[421]	(0)(0)(0)(0)(0)(0)[422]
Hyperfactorial array notation	104!	105!
Fast-growing hierarchy	\(f_2(548)\)	\(f_2(549)\)
Hardy hierarchy	\(H_{\omega^2}(548)\)	\(H_{\omega^2}(549)\)
Slow-growing hierarchy	\(g_{\omega^{\omega^2+\omega6+8}}(10)\)

For long scale:

Notation	Lower bound	Upper bound
Scientific notation	\(1\times10^{330}\)
Arrow notation	\(10\uparrow330\)
Steinhaus-Moser Notation	151[3]	152[3]
Copy notation	9[330]	1[331]
Taro's multivariable Ackermann function	A(3,1093)	A(3,1094)
Pound-Star Notation	#*((6080))*11	#*((6081))*11
BEAF	{10,330}
Hyper-E notation	E330
Bashicu matrix system	(0)(0)(0)(0)(0)(0)(0)[378]	(0)(0)(0)(0)(0)(0)(0)[379]
Hyperfactorial array notation	180!	181!
Fast-growing hierarchy	\(f_2(1\,086)\)	\(f_2(1\,087)\)
Hardy hierarchy	\(H_{\omega^2}(1\,086)\)	\(H_{\omega^2}(1\,087)\)
Slow-growing hierarchy	\(g_{\omega^{\omega^23+\omega3}}(10)\)

List of prefixed numbers derived from quinquagintillion

Name	Short scale	Long scale
unquinquagintillion	10156	10306
duoquinquagintillion	10159	10312
tresquinquagintillion	10162	10318
quattuorquinquagintillion	10165	10324
quinquinquagintillion	10168	10330
sesquinquagintillion	10171	10336
septenquinquagintillion	10174	10342
octoquinquagintillion	10177	10348
novenquinquagintillion	10180	10354

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