Octoseptuagintasescentillion

An octoseptuagintasescentillion is equal to \(10^{2037}\) in the short scale and \(10^{4068}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 678th -illion number.
In the long scale, \(10^{2037}\) is called noventrigintatrecentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2037}\) (exact) 	\(1\times10^{2037}\) (exact)
Arrow notation 	\(10\uparrow 2037\) (exact) 	\(10\uparrow 2037\) (exact)
Steinhaus-Moser Notation 	713[3] 	714[3]
Chained arrow notation 	\(10\rightarrow 2037\) (exact) 	\(10\rightarrow 2037\) (exact)
Taro's multivariable Ackermann function	A(3,6763) 	A(3,6764)
BEAF & Bird's array notation 	{10,2037} (exact) 	{10,2037} (exact)
Hyper-E notation 	E2037 (exact) 	E2037 (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)(713) 	m(1)(714)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(6754)\) 	\(f_2(6755)\)
Hardy hierarchy 	\(H_{\omega^2}(6754)\) 	\(H_{\omega^2}(6755)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega 3+7}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega 3+7}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4068}\) (exact) 	\(1\times10^{4068}\) (exact)
Arrow notation 	\(10\uparrow 4068\) (exact) 	\(10\uparrow 4068\) (exact)
Steinhaus-Moser Notation 	1305[3] 	1306[3]
Chained arrow notation 	\(10\rightarrow 4068\) (exact) 	\(10\rightarrow 4068\) (exact)
Taro's multivariable Ackermann function	A(3,13510) 	A(3,13511)
BEAF & Bird's array notation 	{10,4068} (exact) 	{10,4068} (exact)
Hyper-E notation 	E4068 (exact) 	E4068 (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)(1305) 	m(1)(1306)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(13499)\) 	\(f_2(13500)\)
Hardy hierarchy 	\(H_{\omega^2}(13499)\) 	\(H_{\omega^2}(13500)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega 6+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega 6+8}}(10)\) (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