Unsexagintaquingentillion

An unsexagintaquingentillion is equal to \(10^{1686}\) in the short scale and \(10^{3366}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 561st -illion number.
In the long scale, \(10^{1686}\) is called unoctogintaducentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1686}\) (exact) 	\(1\times10^{1686}\) (exact)
Arrow notation 	\(10\uparrow 1686\) (exact) 	\(10\uparrow 1686\) (exact)
Steinhaus-Moser Notation 	605[3] 	606[3]
Chained arrow notation 	\(10\rightarrow 1686\) (exact) 	\(10\rightarrow 1686\) (exact)
Taro's multivariable Ackermann function	A(3,5597) 	A(3,5598)
BEAF & Bird's array notation 	{10,1686} (exact) 	{10,1686} (exact)
Hyper-E notation 	E1686 (exact) 	E1686 (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)(605) 	m(1)(606)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5588)\) 	\(f_2(5589)\)
Hardy hierarchy 	\(H_{\omega^2}(5588)\) 	\(H_{\omega^2}(5589)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 6+\omega 8+6}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 6+\omega 8+6}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3366}\) (exact) 	\(1\times10^{3366}\) (exact)
Arrow notation 	\(10\uparrow 3366\) (exact) 	\(10\uparrow 3366\) (exact)
Steinhaus-Moser Notation 	1105[3] 	1106[3]
Chained arrow notation 	\(10\rightarrow 3366\) (exact) 	\(10\rightarrow 3366\) (exact)
Taro's multivariable Ackermann function	A(3,11178) 	A(3,11179)
BEAF & Bird's array notation 	{10,3366} (exact) 	{10,3366} (exact)
Hyper-E notation 	E3366 (exact) 	E3366 (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)(1105) 	m(1)(1106)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(11168)\) 	\(f_2(11169)\)
Hardy hierarchy 	\(H_{\omega^2}(11168)\) 	\(H_{\omega^2}(11169)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2 3+\omega 6+6}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2 3+\omega 6+6}}(10)\) (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