Quattuordecioctingentillion

A quattuordecioctingentillion is equal to \(10^{2445}\) in the short scale and \(10^{4884}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 814th -illion number.
In the long scale, \(10^{2445}\) is called septenquadringentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2445}\) (exact) 	\(1\times10^{2445}\) (exact)
Arrow notation 	\(10\uparrow 2445\) (exact) 	\(10\uparrow 2445\) (exact)
Steinhaus-Moser Notation 	836[3] 	837[3]
Chained arrow notation 	\(10\rightarrow 2445\) (exact) 	\(10\rightarrow 2445\) (exact)
Taro's multivariable Ackermann function	A(3,8119) 	A(3,8120)
BEAF & Bird's array notation 	{10,2445} (exact) 	{10,2445} (exact)
Hyper-E notation 	E2445 (exact) 	E2445 (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)(836) 	m(1)(837)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(8109)\) 	\(f_2(8110)\)
Hardy hierarchy 	\(H_{\omega^2}(8109)\) 	\(H_{\omega^2}(8110)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 4+\omega 4+5}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 4+\omega 4+5}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4884}\) (exact) 	\(1\times10^{4884}\) (exact)
Arrow notation 	\(10\uparrow 4884\) (exact) 	\(10\uparrow 4884\) (exact)
Steinhaus-Moser Notation 	1533[3] 	1534[3]
Chained arrow notation 	\(10\rightarrow 4884\) (exact) 	\(10\rightarrow 4884\) (exact)
Taro's multivariable Ackermann function	A(3,16221) 	A(3,16222)
BEAF & Bird's array notation 	{10,4884} (exact) 	{10,4884} (exact)
Hyper-E notation 	E4884 (exact) 	E4884 (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)(1533) 	m(1)(1534)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(16210)\) 	\(f_2(16211)\)
Hardy hierarchy 	\(H_{\omega^2}(16210)\) 	\(H_{\omega^2}(16211)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 8+\omega 8+4}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 8+\omega 8+4}}(10)\) (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