Googolillion

Googolillion (or decitriotriacontillion) is an "-illionized" version of the googol, equal to \(10^{3\left(10^{100}\right)+3}\) in the American system.Googology In the long scale of naming zillions, accepted in French and Germany, it is equal to 106×10100. It is equal to 1 followed by 3×googol+3 zeros. It is 3×10100+4 digits long, and is slightly larger than a googolplex. It is the googolth -illion.
Writing down the full decimal expansion would take 3×1094+1 books of 400 pages each, with 2,500 digits on each page (except for the first, which would have 2,501).
==Names in -illion systems==
According to Landon Curt Noll's The English name of a number, googolillion is also known as:
==Approximations==
For short scale:
Notation 	Lower bound 	Upper bound
Arrow notation 	\(1000\uparrow(1+10\uparrow100)\) 	\(1000\uparrow(1+10\uparrow100)\)
Down-arrow notation 	\(50\downarrow\downarrow60\) 	\(368\downarrow\downarrow40\)
Steinhaus-Moser Notation 	56[3][3] 	57[3][3]
Copy notation 	2[2[101]] 	3[3[101]]
H* function 	H(10H(32)) 	H(10H(32))
Taro's multivariable Ackermann function	A(3,A(3,332)) 	A(3,A(3,333))
Pound-Star Notation 	#*((1))*(8,1,8,3)*10 	#*((1))*(8,5,3,5,4)*7
BEAF 	{1000,1+{10,100}} 	{1000,1+{10,100}}
Hyper-E notation 	E(3+3E100) 	E(3+3E100)
Bashicu matrix system 	(0)(1)[18] 	(0)(1)[19]
Hyperfactorial array notation 	(69!)! 	(70!)!
Fast-growing hierarchy 	\(f_2(f_2(327))\) 	\(f_2(f_2(328))\)
Hardy hierarchy 	\(H_{\omega^22}(327)\) 	\(H_{\omega^22}(328)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^{\omega^2}3+3}}(10)\)	\(g_{\omega^{\omega^{\omega^2}3+3}}(10)\)
For long scale:
Notation 	Lower bound 	Upper bound
Arrow notation 	\((10\uparrow6)\uparrow(10\uparrow100)\)	\((10\uparrow6)\uparrow(10\uparrow100)\)
Down-arrow notation 	\(735\downarrow\downarrow36\) 	\(892\downarrow\downarrow35\)
Steinhaus-Moser Notation 	56[3][3] 	57[3][3]
Copy notation 	5[5[101]] 	6[6[101]]
H* function 	H(19H(32)) 	H(20H(32))
Taro's multivariable Ackermann function	A(3,A(3,333)) 	A(3,A(3,334))
Pound-Star Notation 	#*((1))*(5,1,4,6,4)*7 	#*((1))*(11,10,6,1)*11
BEAF 	{{10,6},{10,100}} 	{{10,6},{10,100}}
Hyper-E notation 	E(6E100) 	E(6E100)
Bashicu matrix system 	(0)(1)[18] 	(0)(1)[19]
Hyperfactorial array notation 	(69!)! 	(70!)!
Fast-growing hierarchy 	\(f_2(f_2(328))\) 	\(f_2(f_2(329))\)
Hardy hierarchy 	\(H_{\omega^22}(328)\) 	\(H_{\omega^22}(329)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^{\omega^2}6}}(10)\) 	\(g_{\omega^{\omega^{\omega^2}6}}(10)\)
==Sources==
==See also==
*googol
*googo-
*googolilliard
Category:Numbers
Category:Illion
Category:Class 3
Category:Googol series
Category:Upper class 3
Category:Tier 2 -illion numbers