Octotrigintacentillion

An octotrigintacentillion is equal to \(10^{417}\) in the short scale and \(10^{828}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 138th -illion number.
In the long scale, \(10^{417}\) is called novensexagintilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{417}\) (exact) 	\(1\times10^{417}\) (exact)
Arrow notation 	\(10\uparrow 417\) (exact) 	\(10\uparrow 417\) (exact)
Steinhaus-Moser Notation 	184[3] 	185[3]
Chained arrow notation 	\(10\rightarrow 417\) (exact) 	\(10\rightarrow 417\) (exact)
Taro's multivariable Ackermann function	A(3,1382) 	A(3,1383)
BEAF & Bird's array notation 	{10,417} (exact) 	{10,417} (exact)
Hyper-E notation 	E417 (exact) 	E417 (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)(184) 	m(1)(185)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)[42] 	(0)(0)(0)(0)(0)(0)(0)(0)[43]
Fast-growing hierarchy 	\(f_2(1374)\) 	\(f_2(1375)\)
Hardy hierarchy 	\(H_{\omega^2}(1374)\) 	\(H_{\omega^2}(1375)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 4+\omega+7}}(10)\) (exact)	\(g_{\omega^{\omega^2 4+\omega+7}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{828}\) (exact) 	\(1\times10^{828}\) (exact)
Arrow notation 	\(10\uparrow 828\) (exact) 	\(10\uparrow 828\) (exact)
Steinhaus-Moser Notation 	328[3] 	329[3]
Chained arrow notation 	\(10\rightarrow 828\) (exact) 	\(10\rightarrow 828\) (exact)
Taro's multivariable Ackermann function	A(3,2747) 	A(3,2748)
BEAF & Bird's array notation 	{10,828} (exact) 	{10,828} (exact)
Hyper-E notation 	E828 (exact) 	E828 (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)(328) 	m(1)(329)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[41] 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[42]
Fast-growing hierarchy 	\(f_2(2739)\) 	\(f_2(2740)\)
Hardy hierarchy 	\(H_{\omega^2}(2739)\) 	\(H_{\omega^2}(2740)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 8+\omega 2+8}}(10)\) (exact)	\(g_{\omega^{\omega^2 8+\omega 2+8}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 101 to 999 digits
Category:Powers of 10 with squarefree exponent
Category:Tier 1 -illion numbers