Septensexagintaseptingentillion

A septensexagintaseptingentillion is equal to \(10^{2304}\) in the short scale and \(10^{4602}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 767th -illion number.
In the long scale, \(10^{2304}\) is called quattuoroctogintatrecentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2304}\) (exact) 	\(1\times10^{2304}\) (exact)
Arrow notation 	\(10\uparrow 2304\) (exact) 	\(10\uparrow 2304\) (exact)
Steinhaus-Moser Notation 	794[3] 	795[3]
Chained arrow notation 	\(10\rightarrow 2304\) (exact) 	\(10\rightarrow 2304\) (exact)
Taro's multivariable Ackermann function	A(3,7650) 	A(3,7651)
BEAF & Bird's array notation 	{10,2304} (exact) 	{10,2304} (exact)
Hyper-E notation 	E2304 (exact) 	E2304 (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)(794) 	m(1)(795)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(7640)\) 	\(f_2(7641)\)
Hardy hierarchy 	\(H_{\omega^2}(7640)\) 	\(H_{\omega^2}(7641)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 3+4}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 3+4}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4602}\) (exact) 	\(1\times10^{4602}\) (exact)
Arrow notation 	\(10\uparrow 4602\) (exact) 	\(10\uparrow 4602\) (exact)
Steinhaus-Moser Notation 	1455[3] 	1456[3]
Chained arrow notation 	\(10\rightarrow 4602\) (exact) 	\(10\rightarrow 4602\) (exact)
Taro's multivariable Ackermann function	A(3,15284) 	A(3,15285)
BEAF & Bird's array notation 	{10,4602} (exact) 	{10,4602} (exact)
Hyper-E notation 	E4602 (exact) 	E4602 (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)(1455) 	m(1)(1456)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(15273)\) 	\(f_2(15274)\)
Hardy hierarchy 	\(H_{\omega^2}(15273)\) 	\(H_{\omega^2}(15274)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 6+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 6+2}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers