Asankhyeya

The asankhyeya (also called asaṃkhyeya"How large is one Asamkhyeya?" Bodhi Field. http://www.drbachinese.org/vbs/publish/462/vbs462p042.pdf) is a number described in Buddhist texts that is equal to \(10^{140}\), or 1 followed by 140 zeroes. It is pronounced Asougi in Japanese where it is equal to \(10^{56}\), and means "innumerable". See meaning of asankhyeya in the ancient Indian literature for Jaghanya Parīta Asaṃkhyāta.
The Avatamsaka Sutra gives an alternate description of Asankhyeya as \(10^{7\times2^{103}}\), defining a series of numbers that are squares of each other starting with one koti equalling \(10^7\), one koti kotis making an ayuta (\(10^{14}\)), one ayuta ayutas making a nayuta (\(10^{28}\)), and so on, with Asankhyeya being the 104th number in this chain.
== Approximations ==
For 10140:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{140}\) 	\(1\times10^{140}\)
Arrow notation 	\(10\uparrow140\) 	\(10\uparrow140\)
Steinhaus-Moser Notation 	74[3] 	75[3]
Copy notation 	9[140] 	1[141]
Taro's multivariable Ackermann function	A(3,462) 	A(3,463)
Pound-Star Notation 	#*(1,2,8,11,9,8,5)*12 	#*(4,4,10,5,7,2,5,2)*10
BEAF 	{10,140} 	{10,140}
Hyper-E notation 	E140 	E140
Bashicu matrix system 	(0)(0)(0)(0)(0)[23713] 	(0)(0)(0)(0)(0)[23714]
Hyperfactorial array notation 	90! 	91!
Fast-growing hierarchy 	\(f_2(456)\) 	\(f_2(457)\)
Hardy hierarchy 	\(H_{\omega^2}(456)\) 	\(H_{\omega^2}(457)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2+\omega4}}(10)\)	\(g_{\omega^{\omega^2+\omega4}}(10)\)
For 107×2103:
Notation 	Lower bound 	Upper bound
Arrow notation 	\((10\uparrow7)\uparrow2\uparrow103\) 	\((10\uparrow7)\uparrow2\uparrow103\)
Down-arrow notation 	\(57\downarrow\downarrow19\) 	\(715\downarrow\downarrow12\)
Steinhaus-Moser Notation 	22[3][3] 	23[3][3]
Copy notation 	6[6[32]] 	7[7[32]]
H* function 	H(23H(9)) 	H(24H(9))
Taro's multivariable Ackermann function	A(3,A(3,104)) 	A(3,A(3,105))
Pound-Star Notation 	#*((1))*(1,10,10)*4 	#*((1))*(5,2,1)*6
BEAF 	{{10,7},{2,103}} 	{{10,7},{2,103}}
Hyper-E notation 	E(7E[2]103) 	E(7E[2]103)
Bashicu matrix system 	(0)(1)[10] 	(0)(1)[11]
Hyperfactorial array notation 	(28!)! 	(29!)!
Fast-growing hierarchy 	\(f_2(f_2(100))\) 	\(f_2(f_2(101))\)
Hardy hierarchy 	\(H_{\omega^22}(100)\) 	\(H_{\omega^22}(101)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^{\omega3+1}7}}(10)\)	\(g_{\omega^{\omega^{\omega3+1}8}}(10)\)
== Sources ==
==See also==
Category:Numbers
Category:Class 2
Category:Class 3
Category:Googology in Asia
Category:Numbers with 101 to 999 digits
Category:Powers of 10
Category:Middle class 3