Quindeciquingentillion

A quindeciquingentillion is equal to \(10^{1548}\) in the short scale and \(10^{3090}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 515th -illion number.
In the long scale, \(10^{1548}\) is called octoquinquagintaducentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1548}\) (exact) 	\(1\times10^{1548}\) (exact)
Arrow notation 	\(10\uparrow 1548\) (exact) 	\(10\uparrow 1548\) (exact)
Steinhaus-Moser Notation 	562[3] 	563[3]
Chained arrow notation 	\(10\rightarrow 1548\) (exact) 	\(10\rightarrow 1548\) (exact)
Taro's multivariable Ackermann function	A(3,5139) 	A(3,5140)
BEAF & Bird's array notation 	{10,1548} (exact) 	{10,1548} (exact)
Hyper-E notation 	E1548 (exact) 	E1548 (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)(562) 	m(1)(563)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5130)\) 	\(f_2(5131)\)
Hardy hierarchy 	\(H_{\omega^2}(5130)\) 	\(H_{\omega^2}(5131)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 5+\omega 4+8}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 5+\omega 4+8}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3090}\) (exact) 	\(1\times10^{3090}\) (exact)
Arrow notation 	\(10\uparrow 3090\) (exact) 	\(10\uparrow 3090\) (exact)
Steinhaus-Moser Notation 	1026[3] 	1027[3]
Chained arrow notation 	\(10\rightarrow 3090\) (exact) 	\(10\rightarrow 3090\) (exact)
Taro's multivariable Ackermann function	A(3,10261) 	A(3,10262)
BEAF & Bird's array notation 	{10,3090} (exact) 	{10,3090} (exact)
Hyper-E notation 	E3090 (exact) 	E3090 (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)(1026) 	m(1)(1027)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(10251)\) 	\(f_2(10252)\)
Hardy hierarchy 	\(H_{\omega^2}(10251)\) 	\(H_{\omega^2}(10252)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega 9}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega 9}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers