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:
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[]
Repunits: twenty-twos · thirty-threes · forty-fours · fifty-fives · sixty-sixes · seventy-sevens · eighty-eights
Googo- series: googoli · googolex · googoc · googoci · googocci · googoccic · googoxem · googolmox · googomump ·
Googoo- series: googool · googoodix
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