Quattuoroctogintaquingentillion

A quattuoroctogintaquingentillion is equal to \(10^{1755}\) in the short scale and \(10^{3504}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 584th -illion number.
In the long scale, \(10^{1755}\) is called duononagintaducentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1755}\) (exact) 	\(1\times10^{1755}\) (exact)
Arrow notation 	\(10\uparrow 1755\) (exact) 	\(10\uparrow 1755\) (exact)
Steinhaus-Moser Notation 	627[3] 	628[3]
Chained arrow notation 	\(10\rightarrow 1755\) (exact) 	\(10\rightarrow 1755\) (exact)
Taro's multivariable Ackermann function	A(3,5826) 	A(3,5827)
BEAF & Bird's array notation 	{10,1755} (exact) 	{10,1755} (exact)
Hyper-E notation 	E1755 (exact) 	E1755 (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)(627) 	m(1)(628)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5817)\) 	\(f_2(5818)\)
Hardy hierarchy 	\(H_{\omega^2}(5817)\) 	\(H_{\omega^2}(5818)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 7+\omega 5+5}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 7+\omega 5+5}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3504}\) (exact) 	\(1\times10^{3504}\) (exact)
Arrow notation 	\(10\uparrow 3504\) (exact) 	\(10\uparrow 3504\) (exact)
Steinhaus-Moser Notation 	1145[3] 	1146[3]
Chained arrow notation 	\(10\rightarrow 3504\) (exact) 	\(10\rightarrow 3504\) (exact)
Taro's multivariable Ackermann function	A(3,11637) 	A(3,11638)
BEAF & Bird's array notation 	{10,3504} (exact) 	{10,3504} (exact)
Hyper-E notation 	E3504 (exact) 	E3504 (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)(1145) 	m(1)(1146)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(11626)\) 	\(f_2(11627)\)
Hardy hierarchy 	\(H_{\omega^2}(11626)\) 	\(H_{\omega^2}(11627)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2 5+4}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2 5+4}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers