Quattuoroctogintaseptingentillion

A quattuoroctogintaseptingentillion is equal to \(10^{2355}\) in the short scale and \(10^{4704}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 784th -illion number.
In the long scale, \(10^{2355}\) is called duononagintatrecentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2355}\) (exact) 	\(1\times10^{2355}\) (exact)
Arrow notation 	\(10\uparrow 2355\) (exact) 	\(10\uparrow 2355\) (exact)
Steinhaus-Moser Notation 	809[3] 	810[3]
Chained arrow notation 	\(10\rightarrow 2355\) (exact) 	\(10\rightarrow 2355\) (exact)
Taro's multivariable Ackermann function	A(3,7820) 	A(3,7821)
BEAF & Bird's array notation 	{10,2355} (exact) 	{10,2355} (exact)
Hyper-E notation 	E2355 (exact) 	E2355 (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)(809) 	m(1)(810)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(7810)\) 	\(f_2(7811)\)
Hardy hierarchy 	\(H_{\omega^2}(7810)\) 	\(H_{\omega^2}(7811)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 3+\omega 5+5}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 3+\omega 5+5}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4704}\) (exact) 	\(1\times10^{4704}\) (exact)
Arrow notation 	\(10\uparrow 4704\) (exact) 	\(10\uparrow 4704\) (exact)
Steinhaus-Moser Notation 	1483[3] 	1484[3]
Chained arrow notation 	\(10\rightarrow 4704\) (exact) 	\(10\rightarrow 4704\) (exact)
Taro's multivariable Ackermann function	A(3,15623) 	A(3,15624)
BEAF & Bird's array notation 	{10,4704} (exact) 	{10,4704} (exact)
Hyper-E notation 	E4704 (exact) 	E4704 (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)(1483) 	m(1)(1484)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(15612)\) 	\(f_2(15613)\)
Hardy hierarchy 	\(H_{\omega^2}(15612)\) 	\(H_{\omega^2}(15613)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 7+4}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 7+4}}(10)\) (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