Octotrigintaseptingentillion

An octotrigintaseptingentillion is equal to \(10^{2217}\) in the short scale and \(10^{4428}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 738th -illion number.
In the long scale, \(10^{2217}\) is called novensexagintatrecentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2217}\) (exact) 	\(1\times10^{2217}\) (exact)
Arrow notation 	\(10\uparrow 2217\) (exact) 	\(10\uparrow 2217\) (exact)
Steinhaus-Moser Notation 	768[3] 	769[3]
Chained arrow notation 	\(10\rightarrow 2217\) (exact) 	\(10\rightarrow 2217\) (exact)
Taro's multivariable Ackermann function	A(3,7361) 	A(3,7362)
BEAF & Bird's array notation 	{10,2217} (exact) 	{10,2217} (exact)
Hyper-E notation 	E2217 (exact) 	E2217 (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)(768) 	m(1)(769)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(7351)\) 	\(f_2(7352)\)
Hardy hierarchy 	\(H_{\omega^2}(7351)\) 	\(H_{\omega^2}(7352)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 2+\omega+7}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 2+\omega+7}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4428}\) (exact) 	\(1\times10^{4428}\) (exact)
Arrow notation 	\(10\uparrow 4428\) (exact) 	\(10\uparrow 4428\) (exact)
Steinhaus-Moser Notation 	1406[3] 	1407[3]
Chained arrow notation 	\(10\rightarrow 4428\) (exact) 	\(10\rightarrow 4428\) (exact)
Taro's multivariable Ackermann function	A(3,14706) 	A(3,14707)
BEAF & Bird's array notation 	{10,4428} (exact) 	{10,4428} (exact)
Hyper-E notation 	E4428 (exact) 	E4428 (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)(1406) 	m(1)(1407)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(14695)\) 	\(f_2(14696)\)
Hardy hierarchy 	\(H_{\omega^2}(14695)\) 	\(H_{\omega^2}(14696)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 4+\omega 2+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 4+\omega 2+8}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Powers of 10 with squarefree exponent
Category:Tier 1 -illion numbers