Quattuortrecentillion

A quattuortrecentillion is equal to \(10^{915}\) in the short scale and \(10^{1824}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 304th -illion number.
In the long scale, \(10^{915}\) is called duoquinquagintacentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{915}\) (exact) 	\(1\times10^{915}\) (exact)
Arrow notation 	\(10\uparrow 915\) (exact) 	\(10\uparrow 915\) (exact)
Steinhaus-Moser Notation 	358[3] 	359[3]
Chained arrow notation 	\(10\rightarrow 915\) (exact) 	\(10\rightarrow 915\) (exact)
Taro's multivariable Ackermann function	A(3,3036) 	A(3,3037)
BEAF & Bird's array notation 	{10,915} (exact) 	{10,915} (exact)
Hyper-E notation 	E915 (exact) 	E915 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(8)\) 	\(s(1)^3(\lambda x.x+1)(9)\)
m(n) map 	m(1)(358) 	m(1)(359)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[61] 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[62]
Fast-growing hierarchy 	\(f_2(3028)\) 	\(f_2(3029)\)
Hardy hierarchy 	\(H_{\omega^2}(3028)\) 	\(H_{\omega^2}(3029)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 9+\omega+5}}(10)\) (exact)	\(g_{\omega^{\omega^2 9+\omega+5}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1824}\) (exact) 	\(1\times10^{1824}\) (exact)
Arrow notation 	\(10\uparrow 1824\) (exact) 	\(10\uparrow 1824\) (exact)
Steinhaus-Moser Notation 	648[3] 	649[3]
Chained arrow notation 	\(10\rightarrow 1824\) (exact) 	\(10\rightarrow 1824\) (exact)
Taro's multivariable Ackermann function	A(3,6056) 	A(3,6057)
BEAF & Bird's array notation 	{10,1824} (exact) 	{10,1824} (exact)
Hyper-E notation 	E1824 (exact) 	E1824 (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)(648) 	m(1)(649)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(6046)\) 	\(f_2(6047)\)
Hardy hierarchy 	\(H_{\omega^2}(6046)\) 	\(H_{\omega^2}(6047)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 8+\omega 2+4}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 8+\omega 2+4}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 101 to 999 digits
Category:Powers of 10 with squarefree exponent
Category:Tier 1 -illion numbers