Octoquadragintatrecentillion

An octoquadragintatrecentillion is equal to \(10^{1047}\) in the short scale and \(10^{2088}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 348th -illion number.
In the long scale, \(10^{1047}\) is called quattuorseptuagintacentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1047}\) (exact) 	\(1\times10^{1047}\) (exact)
Arrow notation 	\(10\uparrow 1047\) (exact) 	\(10\uparrow 1047\) (exact)
Steinhaus-Moser Notation 	402[3] 	403[3]
Chained arrow notation 	\(10\rightarrow 1047\) (exact) 	\(10\rightarrow 1047\) (exact)
Taro's multivariable Ackermann function	A(3,3475) 	A(3,3476)
BEAF & Bird's array notation 	{10,1047} (exact) 	{10,1047} (exact)
Hyper-E notation 	E1047 (exact) 	E1047 (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)(402) 	m(1)(403)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(3466)\) 	\(f_2(3467)\)
Hardy hierarchy 	\(H_{\omega^2}(3466)\) 	\(H_{\omega^2}(3467)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega 4+7}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega 4+7}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2088}\) (exact) 	\(1\times10^{2088}\) (exact)
Arrow notation 	\(10\uparrow 2088\) (exact) 	\(10\uparrow 2088\) (exact)
Steinhaus-Moser Notation 	729[3] 	730[3]
Chained arrow notation 	\(10\rightarrow 2088\) (exact) 	\(10\rightarrow 2088\) (exact)
Taro's multivariable Ackermann function	A(3,6933) 	A(3,6934)
BEAF & Bird's array notation 	{10,2088} (exact) 	{10,2088} (exact)
Hyper-E notation 	E2088 (exact) 	E2088 (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)(729) 	m(1)(730)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(6923)\) 	\(f_2(6924)\)
Hardy hierarchy 	\(H_{\omega^2}(6923)\) 	\(H_{\omega^2}(6924)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega 8+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega 8+8}}(10)\) (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