Quattuorseptuagintaquingentillion

A quattuorseptuagintaquingentillion is equal to \(10^{1725}\) in the short scale and \(10^{3444}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 574th -illion number.
In the long scale, \(10^{1725}\) is called septemoctogintaducentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1725}\) (exact) 	\(1\times10^{1725}\) (exact)
Arrow notation 	\(10\uparrow 1725\) (exact) 	\(10\uparrow 1725\) (exact)
Steinhaus-Moser Notation 	618[3] 	619[3]
Chained arrow notation 	\(10\rightarrow 1725\) (exact) 	\(10\rightarrow 1725\) (exact)
Taro's multivariable Ackermann function	A(3,5727) 	A(3,5728)
BEAF & Bird's array notation 	{10,1725} (exact) 	{10,1725} (exact)
Hyper-E notation 	E1725 (exact) 	E1725 (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)(618) 	m(1)(619)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5717)\) 	\(f_2(5718)\)
Hardy hierarchy 	\(H_{\omega^2}(5717)\) 	\(H_{\omega^2}(5718)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 7+\omega 2+5}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 7+\omega 2+5}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3444}\) (exact) 	\(1\times10^{3444}\) (exact)
Arrow notation 	\(10\uparrow 3444\) (exact) 	\(10\uparrow 3444\) (exact)
Steinhaus-Moser Notation 	1128[3] 	1129[3]
Chained arrow notation 	\(10\rightarrow 3444\) (exact) 	\(10\rightarrow 3444\) (exact)
Taro's multivariable Ackermann function	A(3,11437) 	A(3,11438)
BEAF & Bird's array notation 	{10,3444} (exact) 	{10,3444} (exact)
Hyper-E notation 	E3444 (exact) 	E3444 (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)(1128) 	m(1)(1129)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(11427)\) 	\(f_2(11428)\)
Hardy hierarchy 	\(H_{\omega^2}(11427)\) 	\(H_{\omega^2}(11428)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2 4+\omega 4+4}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2 4+\omega 4+4}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers