Septuagintaseptingentillion

A septuagintaseptingentillion is equal to \(10^{2313}\) in the short scale and \(10^{4620}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 770th -illion number.
In the long scale, \(10^{2313}\) is called quinoctogintatrecentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2313}\) (exact) 	\(1\times10^{2313}\) (exact)
Arrow notation 	\(10\uparrow 2313\) (exact) 	\(10\uparrow 2313\) (exact)
Steinhaus-Moser Notation 	797[3] 	798[3]
Chained arrow notation 	\(10\rightarrow 2313\) (exact) 	\(10\rightarrow 2313\) (exact)
Taro's multivariable Ackermann function	A(3,7680) 	A(3,7681)
BEAF & Bird's array notation 	{10,2313} (exact) 	{10,2313} (exact)
Hyper-E notation 	E2313 (exact) 	E2313 (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)(797) 	m(1)(798)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(7670)\) 	\(f_2(7671)\)
Hardy hierarchy 	\(H_{\omega^2}(7670)\) 	\(H_{\omega^2}(7671)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 3+\omega+3}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 3+\omega+3}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4620}\) (exact) 	\(1\times10^{4620}\) (exact)
Arrow notation 	\(10\uparrow 4620\) (exact) 	\(10\uparrow 4620\) (exact)
Steinhaus-Moser Notation 	1460[3] 	1461[3]
Chained arrow notation 	\(10\rightarrow 4620\) (exact) 	\(10\rightarrow 4620\) (exact)
Taro's multivariable Ackermann function	A(3,15344) 	A(3,15345)
BEAF & Bird's array notation 	{10,4620} (exact) 	{10,4620} (exact)
Hyper-E notation 	E4620 (exact) 	E4620 (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)(1460) 	m(1)(1461)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(15333)\) 	\(f_2(15334)\)
Hardy hierarchy 	\(H_{\omega^2}(15333)\) 	\(H_{\omega^2}(15334)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 6+\omega 2}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 6+\omega 2}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers