Quindeciseptingentillion

A quindeciseptingentillion is equal to \(10^{2148}\) in the short scale and \(10^{4290}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 715th -illion number.
In the long scale, \(10^{2148}\) is called octoquinquagintatrecentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2148}\) (exact) 	\(1\times10^{2148}\) (exact)
Arrow notation 	\(10\uparrow 2148\) (exact) 	\(10\uparrow 2148\) (exact)
Steinhaus-Moser Notation 	747[3] 	748[3]
Chained arrow notation 	\(10\rightarrow 2148\) (exact) 	\(10\rightarrow 2148\) (exact)
Taro's multivariable Ackermann function	A(3,7132) 	A(3,7133)
BEAF & Bird's array notation 	{10,2148} (exact) 	{10,2148} (exact)
Hyper-E notation 	E2148 (exact) 	E2148 (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)(747) 	m(1)(748)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(7122)\) 	\(f_2(7123)\)
Hardy hierarchy 	\(H_{\omega^2}(7122)\) 	\(H_{\omega^2}(7123)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2+\omega 4+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2+\omega 4+8}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4290}\) (exact) 	\(1\times10^{4290}\) (exact)
Arrow notation 	\(10\uparrow 4290\) (exact) 	\(10\uparrow 4290\) (exact)
Steinhaus-Moser Notation 	1367[3] 	1368[3]
Chained arrow notation 	\(10\rightarrow 4290\) (exact) 	\(10\rightarrow 4290\) (exact)
Taro's multivariable Ackermann function	A(3,14248) 	A(3,14249)
BEAF & Bird's array notation 	{10,4290} (exact) 	{10,4290} (exact)
Hyper-E notation 	E4290 (exact) 	E4290 (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)(1367) 	m(1)(1368)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(14237)\) 	\(f_2(14238)\)
Hardy hierarchy 	\(H_{\omega^2}(14237)\) 	\(H_{\omega^2}(14238)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 2+\omega 9}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 2+\omega 9}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers