Quindecioctingentillion

A quindecioctingentillion is equal to \(10^{2448}\) in the short scale and \(10^{4890}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 815th -illion number.
In the long scale, \(10^{2448}\) is called octoquadringentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2448}\) (exact) 	\(1\times10^{2448}\) (exact)
Arrow notation 	\(10\uparrow 2448\) (exact) 	\(10\uparrow 2448\) (exact)
Steinhaus-Moser Notation 	837[3] 	838[3]
Chained arrow notation 	\(10\rightarrow 2448\) (exact) 	\(10\rightarrow 2448\) (exact)
Taro's multivariable Ackermann function	A(3,8129) 	A(3,8130)
BEAF & Bird's array notation 	{10,2448} (exact) 	{10,2448} (exact)
Hyper-E notation 	E2448 (exact) 	E2448 (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)(837) 	m(1)(838)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(8119)\) 	\(f_2(8120)\)
Hardy hierarchy 	\(H_{\omega^2}(8119)\) 	\(H_{\omega^2}(8120)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 4+\omega 4+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 4+\omega 4+8}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4890}\) (exact) 	\(1\times10^{4890}\) (exact)
Arrow notation 	\(10\uparrow 4890\) (exact) 	\(10\uparrow 4890\) (exact)
Steinhaus-Moser Notation 	1534[3] 	1535[3]
Chained arrow notation 	\(10\rightarrow 4890\) (exact) 	\(10\rightarrow 4890\) (exact)
Taro's multivariable Ackermann function	A(3,16241) 	A(3,16242)
BEAF & Bird's array notation 	{10,4890} (exact) 	{10,4890} (exact)
Hyper-E notation 	E4890 (exact) 	E4890 (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)(1534) 	m(1)(1535)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(16230)\) 	\(f_2(16231)\)
Hardy hierarchy 	\(H_{\omega^2}(16230)\) 	\(H_{\omega^2}(16231)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 8+\omega 9}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 8+\omega 9}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers