Duoquinquagintacentillion

View full site to see MathJax equation

A duoquinquagintacentillion is equal to \(10^{459}\) in the short scale and \(10^{912}\) in the long scale by the Conway and Guy's naming system^[1]^[2]^[3]^[4] as it is the 152nd -illion number.

In the long scale, \(10^{459}\) is called seseptuagintilliard.

Approximations[]

For the short scale:

Notation	Lower bound	Upper bound
Scientific notation	\(1\times10^{459}\) (exact)
Arrow notation	\(10\uparrow 459\) (exact)
Steinhaus-Moser Notation	199[3]	200[3]
Chained arrow notation	\(10\rightarrow 459\) (exact)
Taro's multivariable Ackermann function	A(3,1521)	A(3,1522)
BEAF & Bird's array notation	{10,459} (exact)
Hyper-E notation	E459 (exact)
s(n) map	\(s(1)^3(\lambda x.x+1)(7)\)	\(s(1)^3(\lambda x.x+1)(8)\)
m(n) map	m(1)(199)	m(1)(200)
Bashicu matrix system	(0)(0)(0)(0)(0)(0)(0)(0)[62]	(0)(0)(0)(0)(0)(0)(0)(0)[63]
Fast-growing hierarchy	\(f_2(1514)\)	\(f_2(1515)\)
Hardy hierarchy	\(H_{\omega^2}(1514)\)	\(H_{\omega^2}(1515)\)
Slow-growing hierarchy	\(g_{\omega^{\omega^2 4+\omega 5+9}}(10)\) (exact)

For the long scale:

Notation	Lower bound	Upper bound
Scientific notation	\(1\times10^{912}\) (exact)
Arrow notation	\(10\uparrow 912\) (exact)
Steinhaus-Moser Notation	357[3]	358[3]
Chained arrow notation	\(10\rightarrow 912\) (exact)
Taro's multivariable Ackermann function	A(3,3026)	A(3,3027)
BEAF & Bird's array notation	{10,912} (exact)
Hyper-E notation	E912 (exact)
s(n) map	\(s(1)^3(\lambda x.x+1)(8)\)	\(s(1)^3(\lambda x.x+1)(9)\)
m(n) map	m(1)(357)	m(1)(358)
Bashicu matrix system	(0)(0)(0)(0)(0)(0)(0)(0)(0)[60]	(0)(0)(0)(0)(0)(0)(0)(0)(0)[61]
Fast-growing hierarchy	\(f_2(3018)\)	\(f_2(3019)\)
Hardy hierarchy	\(H_{\omega^2}(3018)\)	\(H_{\omega^2}(3019)\)
Slow-growing hierarchy	\(g_{\omega^{\omega^2 9+\omega+2}}(10)\) (exact)

Sources[]

↑ Conway and Guy. (1995) "The book of Numbers" Copernicus
↑ Munafo, Robert. The Conway-Wechsler System. Retrieved 2023-02-14.
↑ Olsen, Steve. Big-Ass Numbers. Retrieved 2023-02-14.
↑ Fish. Conway's zillion numbers. Retrieved 2023-02-14.

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

Standard -centillion numbers 10³⁰³ (10⁶⁰⁰)

Main article: -illion

[1] Conway and Guy. (1995) "The book of Numbers" Copernicus

[2] Munafo, Robert. The Conway-Wechsler System. Retrieved 2023-02-14.

[3] Olsen, Steve. Big-Ass Numbers. Retrieved 2023-02-14.

[fish-4] Fish. Conway's zillion numbers. Retrieved 2023-02-14.

[1]

[2]

[3]

[4]