Octotrigintaoctingentillion

An octotrigintaoctingentillion is equal to \(10^{2517}\) in the short scale and \(10^{5028}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 838th -illion number.
In the long scale, \(10^{2517}\) is called novendeciquadringentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2517}\) (exact) 	\(1\times10^{2517}\) (exact)
Arrow notation 	\(10\uparrow 2517\) (exact) 	\(10\uparrow 2517\) (exact)
Steinhaus-Moser Notation 	858[3] 	859[3]
Chained arrow notation 	\(10\rightarrow 2517\) (exact) 	\(10\rightarrow 2517\) (exact)
Taro's multivariable Ackermann function	A(3,8358) 	A(3,8359)
BEAF & Bird's array notation 	{10,2517} (exact) 	{10,2517} (exact)
Hyper-E notation 	E2517 (exact) 	E2517 (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)(858) 	m(1)(859)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(8348)\) 	\(f_2(8349)\)
Hardy hierarchy 	\(H_{\omega^2}(8348)\) 	\(H_{\omega^2}(8349)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 5+\omega+7}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 5+\omega+7}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{5028}\) (exact) 	\(1\times10^{5028}\) (exact)
Arrow notation 	\(10\uparrow 5028\) (exact) 	\(10\uparrow 5028\) (exact)
Steinhaus-Moser Notation 	1572[3] 	1573[3]
Chained arrow notation 	\(10\rightarrow 5028\) (exact) 	\(10\rightarrow 5028\) (exact)
Taro's multivariable Ackermann function	A(3,16699) 	A(3,16700)
BEAF & Bird's array notation 	{10,5028} (exact) 	{10,5028} (exact)
Hyper-E notation 	E5028 (exact) 	E5028 (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)(1572) 	m(1)(1573)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(16688)\) 	\(f_2(16689)\)
Hardy hierarchy 	\(H_{\omega^2}(16688)\) 	\(H_{\omega^2}(16689)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 5+\omega 2+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 5+\omega 2+8}}(10)\) (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