Octodecinongentillion

An octodecinongentillion is equal to \(10^{2757}\) in the short scale and \(10^{5508}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 918th -illion number.
In the long scale, \(10^{2757}\) is called novenquinquagintaquadringentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2757}\) (exact) 	\(1\times10^{2757}\) (exact)
Arrow notation 	\(10\uparrow 2757\) (exact) 	\(10\uparrow 2757\) (exact)
Steinhaus-Moser Notation 	928[3] 	929[3]
Chained arrow notation 	\(10\rightarrow 2757\) (exact) 	\(10\rightarrow 2757\) (exact)
Taro's multivariable Ackermann function	A(3,9155) 	A(3,9156)
BEAF & Bird's array notation 	{10,2757} (exact) 	{10,2757} (exact)
Hyper-E notation 	E2757 (exact) 	E2757 (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)(928) 	m(1)(929)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(9145)\) 	\(f_2(9146)\)
Hardy hierarchy 	\(H_{\omega^2}(9145)\) 	\(H_{\omega^2}(9146)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 7+\omega 5+7}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 7+\omega 5+7}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{5508}\) (exact) 	\(1\times10^{5508}\) (exact)
Arrow notation 	\(10\uparrow 5508\) (exact) 	\(10\uparrow 5508\) (exact)
Steinhaus-Moser Notation 	1704[3] 	1705[3]
Chained arrow notation 	\(10\rightarrow 5508\) (exact) 	\(10\rightarrow 5508\) (exact)
Taro's multivariable Ackermann function	A(3,18294) 	A(3,18295)
BEAF & Bird's array notation 	{10,5508} (exact) 	{10,5508} (exact)
Hyper-E notation 	E5508 (exact) 	E5508 (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)(1704) 	m(1)(1705)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(18283)\) 	\(f_2(18284)\)
Hardy hierarchy 	\(H_{\omega^2}(18283)\) 	\(H_{\omega^2}(18284)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 5+\omega^2 5+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 5+\omega^2 5+8}}(10)\) (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