Septemoctogintaseptingentillion

A septemoctogintaseptingentillion is equal to \(10^{2364}\) in the short scale and \(10^{4722}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 787th -illion number.
In the long scale, \(10^{2364}\) is called quattuornonagintatrecentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2364}\) (exact) 	\(1\times10^{2364}\) (exact)
Arrow notation 	\(10\uparrow 2364\) (exact) 	\(10\uparrow 2364\) (exact)
Steinhaus-Moser Notation 	812[3] 	813[3]
Chained arrow notation 	\(10\rightarrow 2364\) (exact) 	\(10\rightarrow 2364\) (exact)
Taro's multivariable Ackermann function	A(3,7850) 	A(3,7851)
BEAF & Bird's array notation 	{10,2364} (exact) 	{10,2364} (exact)
Hyper-E notation 	E2364 (exact) 	E2364 (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)(812) 	m(1)(813)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(7840)\) 	\(f_2(7841)\)
Hardy hierarchy 	\(H_{\omega^2}(7840)\) 	\(H_{\omega^2}(7841)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 3+\omega 6+4}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 3+\omega 6+4}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4722}\) (exact) 	\(1\times10^{4722}\) (exact)
Arrow notation 	\(10\uparrow 4722\) (exact) 	\(10\uparrow 4722\) (exact)
Steinhaus-Moser Notation 	1488[3] 	1489[3]
Chained arrow notation 	\(10\rightarrow 4722\) (exact) 	\(10\rightarrow 4722\) (exact)
Taro's multivariable Ackermann function	A(3,15683) 	A(3,15684)
BEAF & Bird's array notation 	{10,4722} (exact) 	{10,4722} (exact)
Hyper-E notation 	E4722 (exact) 	E4722 (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)(1488) 	m(1)(1489)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(15672)\) 	\(f_2(15673)\)
Hardy hierarchy 	\(H_{\omega^2}(15672)\) 	\(H_{\omega^2}(15673)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 7+\omega 2+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 7+\omega 2+2}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers