Quattuortrigintaquadringentillion

A quattuortrigintaquadringentillion is equal to \(10^{1305}\) in the short scale and \(10^{2604}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 434th -illion number.
In the long scale, \(10^{1305}\) is called septendeciducentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1305}\) (exact) 	\(1\times10^{1305}\) (exact)
Arrow notation 	\(10\uparrow 1305\) (exact) 	\(10\uparrow 1305\) (exact)
Steinhaus-Moser Notation 	485[3] 	486[3]
Chained arrow notation 	\(10\rightarrow 1305\) (exact) 	\(10\rightarrow 1305\) (exact)
Taro's multivariable Ackermann function	A(3,4332) 	A(3,4333)
BEAF & Bird's array notation 	{10,1305} (exact) 	{10,1305} (exact)
Hyper-E notation 	E1305 (exact) 	E1305 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(8)\) 	\(s(1)^3(\lambda x.x+1)(9)\)
m(n) map 	m(1)(485) 	m(1)(486)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(4323)\) 	\(f_2(4324)\)
Hardy hierarchy 	\(H_{\omega^2}(4323)\) 	\(H_{\omega^2}(4324)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 3+5}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 3+5}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2604}\) (exact) 	\(1\times10^{2604}\) (exact)
Arrow notation 	\(10\uparrow 2604\) (exact) 	\(10\uparrow 2604\) (exact)
Steinhaus-Moser Notation 	883[3] 	884[3]
Chained arrow notation 	\(10\rightarrow 2604\) (exact) 	\(10\rightarrow 2604\) (exact)
Taro's multivariable Ackermann function	A(3,8647) 	A(3,8648)
BEAF & Bird's array notation 	{10,2604} (exact) 	{10,2604} (exact)
Hyper-E notation 	E2604 (exact) 	E2604 (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)(883) 	m(1)(884)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(8637)\) 	\(f_2(8638)\)
Hardy hierarchy 	\(H_{\omega^2}(8637)\) 	\(H_{\omega^2}(8638)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 6+4}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 6+4}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers