Unoctogintasescentillion

An unoctogintasescentillion is equal to \(10^{2046}\) in the short scale and \(10^{4086}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 681st -illion number.
In the long scale, \(10^{2046}\) is called unquadragintatrecentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2046}\) (exact) 	\(1\times10^{2046}\) (exact)
Arrow notation 	\(10\uparrow 2046\) (exact) 	\(10\uparrow 2046\) (exact)
Steinhaus-Moser Notation 	716[3] 	717[3]
Chained arrow notation 	\(10\rightarrow 2046\) (exact) 	\(10\rightarrow 2046\) (exact)
Taro's multivariable Ackermann function	A(3,6793) 	A(3,6794)
BEAF & Bird's array notation 	{10,2046} (exact) 	{10,2046} (exact)
Hyper-E notation 	E2046 (exact) 	E2046 (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)(716) 	m(1)(717)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(6783)\) 	\(f_2(6784)\)
Hardy hierarchy 	\(H_{\omega^2}(6783)\) 	\(H_{\omega^2}(6784)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega 4+6}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega 4+6}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4086}\) (exact) 	\(1\times10^{4086}\) (exact)
Arrow notation 	\(10\uparrow 4086\) (exact) 	\(10\uparrow 4086\) (exact)
Steinhaus-Moser Notation 	1310[3] 	1311[3]
Chained arrow notation 	\(10\rightarrow 4086\) (exact) 	\(10\rightarrow 4086\) (exact)
Taro's multivariable Ackermann function	A(3,13570) 	A(3,13571)
BEAF & Bird's array notation 	{10,4086} (exact) 	{10,4086} (exact)
Hyper-E notation 	E4086 (exact) 	E4086 (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)(1310) 	m(1)(1311)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(13559)\) 	\(f_2(13560)\)
Hardy hierarchy 	\(H_{\omega^2}(13559)\) 	\(H_{\omega^2}(13560)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega 8+6}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega 8+6}}(10)\) (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