Quattuorquingentillion

A quattuorquingentillion is equal to \(10^{1515}\) in the short scale and \(10^{3024}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 504th -illion number.
In the long scale, \(10^{1515}\) is called duoquinquagintaducentilliard.
Sbiis Saibian called the short-scale value of this number ecetonding
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1515}\) (exact) 	\(1\times10^{1515}\) (exact)
Arrow notation 	\(10\uparrow 1515\) (exact) 	\(10\uparrow 1515\) (exact)
Steinhaus-Moser Notation 	552[3] 	553[3]
Chained arrow notation 	\(10\rightarrow 1515\) (exact) 	\(10\rightarrow 1515\) (exact)
Taro's multivariable Ackermann function	A(3,5029) 	A(3,5030)
BEAF & Bird's array notation 	{10,1515} (exact) 	{10,1515} (exact)
Hyper-E notation 	E1515 (exact) 	E1515 (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)(552) 	m(1)(553)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Copy notation 	9[1515] 	10[758]
Pound-Star Notation 	#*((5433))*22 	#*((5434))*22
Hyperfactorial array notation 	638! 	639!
Strong array notation 	s(10,1515) 	s(10,1515)
Fast-growing hierarchy 	\(f_2(5020)\) 	\(f_2(5021)\)
Hardy hierarchy 	\(H_{\omega^2}(5020)\) 	\(H_{\omega^2}(5021)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 5+\omega+5}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 5+\omega+5}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3024}\) (exact) 	\(1\times10^{3024}\) (exact)
Arrow notation 	\(10\uparrow 3024\) (exact) 	\(10\uparrow 3024\) (exact)
Steinhaus-Moser Notation 	1006[3] 	1007[3]
Chained arrow notation 	\(10\rightarrow 3024\) (exact) 	\(10\rightarrow 3024\) (exact)
Taro's multivariable Ackermann function	A(3,10042) 	A(3,10043)
BEAF & Bird's array notation 	{10,3024} (exact) 	{10,3024} (exact)
Hyper-E notation 	E3024 (exact) 	E3024 (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)(1006) 	m(1)(1007)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(10032)\) 	\(f_2(10033)\)
Hardy hierarchy 	\(H_{\omega^2}(10032)\) 	\(H_{\omega^2}(10033)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega 2+4}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega 2+4}}(10)\) (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
Category:Numbers by Sbiis Saibian
Category:Eceton series
Category:Guppy regiment