Quattuorseptingentillion

A quattuorseptingentillion is equal to \(10^{2115}\) in the short scale and \(10^{4224}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 704th -illion number.
In the long scale, \(10^{2115}\) is called duoquinquagintatrecentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2115}\) (exact) 	\(1\times10^{2115}\) (exact)
Arrow notation 	\(10\uparrow 2115\) (exact) 	\(10\uparrow 2115\) (exact)
Steinhaus-Moser Notation 	737[3] 	738[3]
Chained arrow notation 	\(10\rightarrow 2115\) (exact) 	\(10\rightarrow 2115\) (exact)
Taro's multivariable Ackermann function	A(3,7022) 	A(3,7023)
BEAF & Bird's array notation 	{10,2115} (exact) 	{10,2115} (exact)
Hyper-E notation 	E2115 (exact) 	E2115 (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)(737) 	m(1)(738)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(7013)\) 	\(f_2(7014)\)
Hardy hierarchy 	\(H_{\omega^2}(7013)\) 	\(H_{\omega^2}(7014)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2+\omega+5}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2+\omega+5}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4224}\) (exact) 	\(1\times10^{4224}\) (exact)
Arrow notation 	\(10\uparrow 4224\) (exact) 	\(10\uparrow 4224\) (exact)
Steinhaus-Moser Notation 	1349[3] 	1350[3]
Chained arrow notation 	\(10\rightarrow 4224\) (exact) 	\(10\rightarrow 4224\) (exact)
Taro's multivariable Ackermann function	A(3,14028) 	A(3,14029)
BEAF & Bird's array notation 	{10,4224} (exact) 	{10,4224} (exact)
Hyper-E notation 	E4224 (exact) 	E4224 (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)(1349) 	m(1)(1350)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(14018)\) 	\(f_2(14019)\)
Hardy hierarchy 	\(H_{\omega^2}(14018)\) 	\(H_{\omega^2}(14019)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 2+\omega 2+4}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 2+\omega 2+4}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers