Octoquadragintasescentillion

An octoquadragintasescentillion is equal to \(10^{1947}\) in the short scale and \(10^{3888}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 648th -illion number.
In the long scale, \(10^{1947}\) is called quattuorvigintitrecentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1947}\) (exact) 	\(1\times10^{1947}\) (exact)
Arrow notation 	\(10\uparrow 1947\) (exact) 	\(10\uparrow 1947\) (exact)
Steinhaus-Moser Notation 	686[3] 	687[3]
Chained arrow notation 	\(10\rightarrow 1947\) (exact) 	\(10\rightarrow 1947\) (exact)
Taro's multivariable Ackermann function	A(3,6464) 	A(3,6465)
BEAF & Bird's array notation 	{10,1947} (exact) 	{10,1947} (exact)
Hyper-E notation 	E1947 (exact) 	E1947 (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)(686) 	m(1)(687)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(6455)\) 	\(f_2(6456)\)
Hardy hierarchy 	\(H_{\omega^2}(6455)\) 	\(H_{\omega^2}(6456)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 9+\omega 4+7}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 9+\omega 4+7}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3888}\) (exact) 	\(1\times10^{3888}\) (exact)
Arrow notation 	\(10\uparrow 3888\) (exact) 	\(10\uparrow 3888\) (exact)
Steinhaus-Moser Notation 	1254[3] 	1255[3]
Chained arrow notation 	\(10\rightarrow 3888\) (exact) 	\(10\rightarrow 3888\) (exact)
Taro's multivariable Ackermann function	A(3,12912) 	A(3,12913)
BEAF & Bird's array notation 	{10,3888} (exact) 	{10,3888} (exact)
Hyper-E notation 	E3888 (exact) 	E3888 (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)(1254) 	m(1)(1255)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(12902)\) 	\(f_2(12903)\)
Hardy hierarchy 	\(H_{\omega^2}(12902)\) 	\(H_{\omega^2}(12903)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2 8+\omega 8+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2 8+\omega 8+8}}(10)\) (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