Octoquingentillion

An octoquingentillion is equal to \(10^{1527}\) in the short scale and \(10^{3048}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 508th -illion number.
In the long scale, \(10^{1527}\) is called quattuorquinquagintaducentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1527}\) (exact) 	\(1\times10^{1527}\) (exact)
Arrow notation 	\(10\uparrow 1527\) (exact) 	\(10\uparrow 1527\) (exact)
Steinhaus-Moser Notation 	556[3] 	557[3]
Chained arrow notation 	\(10\rightarrow 1527\) (exact) 	\(10\rightarrow 1527\) (exact)
Taro's multivariable Ackermann function	A(3,5069) 	A(3,5070)
BEAF & Bird's array notation 	{10,1527} (exact) 	{10,1527} (exact)
Hyper-E notation 	E1527 (exact) 	E1527 (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)(556) 	m(1)(557)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5060)\) 	\(f_2(5061)\)
Hardy hierarchy 	\(H_{\omega^2}(5060)\) 	\(H_{\omega^2}(5061)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 5+\omega 2+7}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 5+\omega 2+7}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3048}\) (exact) 	\(1\times10^{3048}\) (exact)
Arrow notation 	\(10\uparrow 3048\) (exact) 	\(10\uparrow 3048\) (exact)
Steinhaus-Moser Notation 	1013[3] 	1014[3]
Chained arrow notation 	\(10\rightarrow 3048\) (exact) 	\(10\rightarrow 3048\) (exact)
Taro's multivariable Ackermann function	A(3,10122) 	A(3,10123)
BEAF & Bird's array notation 	{10,3048} (exact) 	{10,3048} (exact)
Hyper-E notation 	E3048 (exact) 	E3048 (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)(1013) 	m(1)(1014)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(10111)\) 	\(f_2(10112)\)
Hardy hierarchy 	\(H_{\omega^2}(10111)\) 	\(H_{\omega^2}(10112)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega 4+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega 4+8}}(10)\) (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