Quattuorquadringentillion

A quattuorquadringentillion is equal to \(10^{1215}\) in the short scale and \(10^{2424}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 404th -illion number.
In the long scale, \(10^{1215}\) is called duoducentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1215}\) (exact) 	\(1\times10^{1215}\) (exact)
Arrow notation 	\(10\uparrow 1215\) (exact) 	\(10\uparrow 1215\) (exact)
Steinhaus-Moser Notation 	456[3] 	457[3]
Chained arrow notation 	\(10\rightarrow 1215\) (exact) 	\(10\rightarrow 1215\) (exact)
Taro's multivariable Ackermann function	A(3,4033) 	A(3,4034)
BEAF & Bird's array notation 	{10,1215} (exact) 	{10,1215} (exact)
Hyper-E notation 	E1215 (exact) 	E1215 (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)(456) 	m(1)(457)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(4024)\) 	\(f_2(4025)\)
Hardy hierarchy 	\(H_{\omega^2}(4024)\) 	\(H_{\omega^2}(4025)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 2+\omega+5}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 2+\omega+5}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2424}\) (exact) 	\(1\times10^{2424}\) (exact)
Arrow notation 	\(10\uparrow 2424\) (exact) 	\(10\uparrow 2424\) (exact)
Steinhaus-Moser Notation 	830[3] 	831[3]
Chained arrow notation 	\(10\rightarrow 2424\) (exact) 	\(10\rightarrow 2424\) (exact)
Taro's multivariable Ackermann function	A(3,8049) 	A(3,8050)
BEAF & Bird's array notation 	{10,2424} (exact) 	{10,2424} (exact)
Hyper-E notation 	E2424 (exact) 	E2424 (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)(830) 	m(1)(831)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(8039)\) 	\(f_2(8040)\)
Hardy hierarchy 	\(H_{\omega^2}(8039)\) 	\(H_{\omega^2}(8040)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 4+\omega 2+4}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 4+\omega 2+4}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers