Septentrigintacentillion

A septentrigintacentillion is equal to \(10^{414}\) in the short scale and \(10^{822}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 137th -illion number.
In the long scale, \(10^{414}\) is called novensexagintillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{414}\) (exact) 	\(1\times10^{414}\) (exact)
Arrow notation 	\(10\uparrow 414\) (exact) 	\(10\uparrow 414\) (exact)
Steinhaus-Moser Notation 	182[3] 	183[3]
Chained arrow notation 	\(10\rightarrow 414\) (exact) 	\(10\rightarrow 414\) (exact)
Taro's multivariable Ackermann function	A(3,1372) 	A(3,1373)
BEAF & Bird's array notation 	{10,414} (exact) 	{10,414} (exact)
Hyper-E notation 	E414 (exact) 	E414 (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)(182) 	m(1)(183)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)[41] 	(0)(0)(0)(0)(0)(0)(0)(0)[42]
Fast-growing hierarchy 	\(f_2(1364)\) 	\(f_2(1365)\)
Hardy hierarchy 	\(H_{\omega^2}(1364)\) 	\(H_{\omega^2}(1365)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 4+\omega+4}}(10)\) (exact)	\(g_{\omega^{\omega^2 4+\omega+4}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{822}\) (exact) 	\(1\times10^{822}\) (exact)
Arrow notation 	\(10\uparrow 822\) (exact) 	\(10\uparrow 822\) (exact)
Steinhaus-Moser Notation 	326[3] 	327[3]
Chained arrow notation 	\(10\rightarrow 822\) (exact) 	\(10\rightarrow 822\) (exact)
Taro's multivariable Ackermann function	A(3,2727) 	A(3,2728)
BEAF & Bird's array notation 	{10,822} (exact) 	{10,822} (exact)
Hyper-E notation 	E822 (exact) 	E822 (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)(326) 	m(1)(327)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[40] 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[41]
Fast-growing hierarchy 	\(f_2(2719)\) 	\(f_2(2720)\)
Hardy hierarchy 	\(H_{\omega^2}(2719)\) 	\(H_{\omega^2}(2720)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 8+\omega 2+2}}(10)\) (exact)	\(g_{\omega^{\omega^2 8+\omega 2+2}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 101 to 999 digits
Category:Tier 1 -illion numbers