Quattuoroctingentillion

A quattuoroctingentillion is equal to \(10^{2415}\) in the short scale and \(10^{4824}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 804th -illion number.
In the long scale, \(10^{2415}\) is called duoquadringentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2415}\) (exact) 	\(1\times10^{2415}\) (exact)
Arrow notation 	\(10\uparrow 2415\) (exact) 	\(10\uparrow 2415\) (exact)
Steinhaus-Moser Notation 	827[3] 	828[3]
Chained arrow notation 	\(10\rightarrow 2415\) (exact) 	\(10\rightarrow 2415\) (exact)
Taro's multivariable Ackermann function	A(3,8019) 	A(3,8020)
BEAF & Bird's array notation 	{10,2415} (exact) 	{10,2415} (exact)
Hyper-E notation 	E2415 (exact) 	E2415 (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)(827) 	m(1)(828)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(8009)\) 	\(f_2(8010)\)
Hardy hierarchy 	\(H_{\omega^2}(8009)\) 	\(H_{\omega^2}(8010)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 4+\omega+5}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 4+\omega+5}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4824}\) (exact) 	\(1\times10^{4824}\) (exact)
Arrow notation 	\(10\uparrow 4824\) (exact) 	\(10\uparrow 4824\) (exact)
Steinhaus-Moser Notation 	1516[3] 	1517[3]
Chained arrow notation 	\(10\rightarrow 4824\) (exact) 	\(10\rightarrow 4824\) (exact)
Taro's multivariable Ackermann function	A(3,16021) 	A(3,16022)
BEAF & Bird's array notation 	{10,4824} (exact) 	{10,4824} (exact)
Hyper-E notation 	E4824 (exact) 	E4824 (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)(1516) 	m(1)(1517)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(16011)\) 	\(f_2(16012)\)
Hardy hierarchy 	\(H_{\omega^2}(16011)\) 	\(H_{\omega^2}(16012)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 8+\omega 2+4}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 8+\omega 2+4}}(10)\) (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