Quattuoroctogintasescentillion

A quattuoroctogintasescentillion is equal to \(10^{2055}\) in the short scale and \(10^{4104}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 684th -illion number.
In the long scale, \(10^{2055}\) is called duoquadragintatrecentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2055}\) (exact) 	\(1\times10^{2055}\) (exact)
Arrow notation 	\(10\uparrow 2055\) (exact) 	\(10\uparrow 2055\) (exact)
Steinhaus-Moser Notation 	719[3] 	720[3]
Chained arrow notation 	\(10\rightarrow 2055\) (exact) 	\(10\rightarrow 2055\) (exact)
Taro's multivariable Ackermann function	A(3,6823) 	A(3,6824)
BEAF & Bird's array notation 	{10,2055} (exact) 	{10,2055} (exact)
Hyper-E notation 	E2055 (exact) 	E2055 (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)(719) 	m(1)(720)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(6813)\) 	\(f_2(6814)\)
Hardy hierarchy 	\(H_{\omega^2}(6813)\) 	\(H_{\omega^2}(6814)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega 5+5}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega 5+5}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4104}\) (exact) 	\(1\times10^{4104}\) (exact)
Arrow notation 	\(10\uparrow 4104\) (exact) 	\(10\uparrow 4104\) (exact)
Steinhaus-Moser Notation 	1315[3] 	1316[3]
Chained arrow notation 	\(10\rightarrow 4104\) (exact) 	\(10\rightarrow 4104\) (exact)
Taro's multivariable Ackermann function	A(3,13630) 	A(3,13631)
BEAF & Bird's array notation 	{10,4104} (exact) 	{10,4104} (exact)
Hyper-E notation 	E4104 (exact) 	E4104 (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)(1315) 	m(1)(1316)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(13619)\) 	\(f_2(13620)\)
Hardy hierarchy 	\(H_{\omega^2}(13619)\) 	\(H_{\omega^2}(13620)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2+4}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2+4}}(10)\) (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