Quattuortrigintaoctingentillion

A quattuortrigintaoctingentillion is equal to \(10^{2505}\) in the short scale and \(10^{5004}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 834th -illion number.
In the long scale, \(10^{2505}\) is called septendeciquadringentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2505}\) (exact) 	\(1\times10^{2505}\) (exact)
Arrow notation 	\(10\uparrow 2505\) (exact) 	\(10\uparrow 2505\) (exact)
Steinhaus-Moser Notation 	854[3] 	855[3]
Chained arrow notation 	\(10\rightarrow 2505\) (exact) 	\(10\rightarrow 2505\) (exact)
Taro's multivariable Ackermann function	A(3,8318) 	A(3,8319)
BEAF & Bird's array notation 	{10,2505} (exact) 	{10,2505} (exact)
Hyper-E notation 	E2505 (exact) 	E2505 (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)(854) 	m(1)(855)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(8308)\) 	\(f_2(8309)\)
Hardy hierarchy 	\(H_{\omega^2}(8308)\) 	\(H_{\omega^2}(8309)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 5+5}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 5+5}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{5004}\) (exact) 	\(1\times10^{5004}\) (exact)
Arrow notation 	\(10\uparrow 5004\) (exact) 	\(10\uparrow 5004\) (exact)
Steinhaus-Moser Notation 	1566[3] 	1567[3]
Chained arrow notation 	\(10\rightarrow 5004\) (exact) 	\(10\rightarrow 5004\) (exact)
Taro's multivariable Ackermann function	A(3,16619) 	A(3,16620)
BEAF & Bird's array notation 	{10,5004} (exact) 	{10,5004} (exact)
Hyper-E notation 	E5004 (exact) 	E5004 (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)(1566) 	m(1)(1567)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(16608)\) 	\(f_2(16609)\)
Hardy hierarchy 	\(H_{\omega^2}(16608)\) 	\(H_{\omega^2}(16609)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 5+4}}(10)\) (exact)	\(g_{\omega^{\omega^3 5+4}}(10)\) (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