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The googoli, coined with the googo- prefix, is equal to \(102^{51}\) = g(2, 51, 102) in the Ackermann's Generalized Exponential Notation.[1][2] It is 103 digits long. Its full decimal representation is:

2,745,419,789,655,077,501,771,969,102,256,324,674,933,404,841,936,043,084,952,633,825,709,174,990,721,247,362,878,090,571,977,639,067,648

Approximations

Notation Lower bound Upper bound
Scientific notation \(2.745\times10^{102}\) \(2.746\times10^{102}\)
Arrow notation \(102\uparrow51\)
Steinhaus-Moser Notation 58[3] 59[3]
Copy notation 2[103] 3[103]
Taro's multivariable Ackermann function A(3,337) A(3,338)
Pound-Star Notation #*(13,3,9,5,4,5,2)*9 #*(0,4,9,5,4,5,2)*9
BEAF {102,51}
Hyper-E notation E[102]51
Hyperfactorial array notation 71! 72!
Fast-growing hierarchy \(f_2(331)\) \(f_2(332)\)
Hardy hierarchy \(H_{\omega^2}(331)\) \(H_{\omega^2}(332)\)
Slow-growing hierarchy \(g_{\omega^{51}}(102)\)

Sources

See also

Numbers by André Joyce

Repunits: twenty-twos · thirty-threes · forty-fours · fifty-fives · sixty-sixes · seventy-sevens · eighty-eights · twelvety-twelves
Googo- series: googoli · googoliji · googoliv · googolv · googolvi · googolvij · googolix · googolex · googoc · googoci · googocci · googoccic · googoxem · googolmox · googomump ·
Googoo- series: googool · googoolxiv · googoolxix · googoocxexviji · googood · googoodij · googoodiv · googoodvi · googoodvij · googoodix · googoodxi
Googgoo- series: googgol · googgool · geegeel · geeggeel · geiggeil · geiggeim
Googolplux series: googolplux · googolpluc · googolplum
Bowers' numbers attempts: Joycian gaggol · Joycian gygol · Joycian gagol · Joyce's tetratri · Joyce's pentatri · Joycian grand tridecal · Joycian dimentri · Joycian dulatri · Joycian trimentri · Joycian decaltrix
Archive André Joyce archive

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