Octoseptuagintaducentillion

An octoseptuagintaducentillion is equal to \(10^{837}\) in the short scale and \(10^{1668}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 278th -illion number.
In the long scale, \(10^{837}\) is called noventrigintacentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{837}\) (exact) 	\(1\times10^{837}\) (exact)
Arrow notation 	\(10\uparrow 837\) (exact) 	\(10\uparrow 837\) (exact)
Steinhaus-Moser Notation 	331[3] 	332[3]
Chained arrow notation 	\(10\rightarrow 837\) (exact) 	\(10\rightarrow 837\) (exact)
Taro's multivariable Ackermann function	A(3,2777) 	A(3,2778)
BEAF & Bird's array notation 	{10,837} (exact) 	{10,837} (exact)
Hyper-E notation 	E837 (exact) 	E837 (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)(331) 	m(1)(332)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[43] 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[44]
Fast-growing hierarchy 	\(f_2(2769)\) 	\(f_2(2770)\)
Hardy hierarchy 	\(H_{\omega^2}(2769)\) 	\(H_{\omega^2}(2770)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 8+\omega 3+7}}(10)\) (exact)	\(g_{\omega^{\omega^2 8+\omega 3+7}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1668}\) (exact) 	\(1\times10^{1668}\) (exact)
Arrow notation 	\(10\uparrow 1668\) (exact) 	\(10\uparrow 1668\) (exact)
Steinhaus-Moser Notation 	600[3] 	601[3]
Chained arrow notation 	\(10\rightarrow 1668\) (exact) 	\(10\rightarrow 1668\) (exact)
Taro's multivariable Ackermann function	A(3,5537) 	A(3,5538)
BEAF & Bird's array notation 	{10,1668} (exact) 	{10,1668} (exact)
Hyper-E notation 	E1668 (exact) 	E1668 (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)(600) 	m(1)(601)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5528)\) 	\(f_2(5529)\)
Hardy hierarchy 	\(H_{\omega^2}(5528)\) 	\(H_{\omega^2}(5529)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 6+\omega 6+8}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 6+\omega 6+8}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 101 to 999 digits
Category:Tier 1 -illion numbers