Septuagintaoctingentillion

A septuagintaoctingentillion is equal to \(10^{2613}\) in the short scale and \(10^{5220}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 870th -illion number.
In the long scale, \(10^{2613}\) is called quintrigintaquadringentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2613}\) (exact) 	\(1\times10^{2613}\) (exact)
Arrow notation 	\(10\uparrow 2613\) (exact) 	\(10\uparrow 2613\) (exact)
Steinhaus-Moser Notation 	886[3] 	887[3]
Chained arrow notation 	\(10\rightarrow 2613\) (exact) 	\(10\rightarrow 2613\) (exact)
Taro's multivariable Ackermann function	A(3,8677) 	A(3,8678)
BEAF & Bird's array notation 	{10,2613} (exact) 	{10,2613} (exact)
Hyper-E notation 	E2613 (exact) 	E2613 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(9)\) 	\(s(1)^3(\lambda x.x+1)(10)\)
m(n) map 	m(1)(886) 	m(1)(887)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(8667)\) 	\(f_2(8668)\)
Hardy hierarchy 	\(H_{\omega^2}(8667)\) 	\(H_{\omega^2}(8668)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 6+\omega+3}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 6+\omega+3}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{5220}\) (exact) 	\(1\times10^{5220}\) (exact)
Arrow notation 	\(10\uparrow 5220\) (exact) 	\(10\uparrow 5220\) (exact)
Steinhaus-Moser Notation 	1625[3] 	1626[3]
Chained arrow notation 	\(10\rightarrow 5220\) (exact) 	\(10\rightarrow 5220\) (exact)
Taro's multivariable Ackermann function	A(3,17337) 	A(3,17338)
BEAF & Bird's array notation 	{10,5220} (exact) 	{10,5220} (exact)
Hyper-E notation 	E5220 (exact) 	E5220 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(10)\) 	\(s(1)^3(\lambda x.x+1)(11)\)
m(n) map 	m(1)(1625) 	m(1)(1626)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(17326)\) 	\(f_2(17327)\)
Hardy hierarchy 	\(H_{\omega^2}(17326)\) 	\(H_{\omega^2}(17327)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 5+\omega^2 2+\omega 2}}(10)\) (exact)	\(g_{\omega^{\omega^3 5+\omega^2 2+\omega 2}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Powers of 10 with squarefree exponent
Category:Tier 1 -illion numbers