Googoc, coined with the googo- prefix, is equal to \(200^{100}\) = g(2, 100, 200) in the Ackermann's Generalized Exponential Notation.[1] It has 231 digits. The full decimal expansion is shown below:
Approximations[]
Notation | Lower bound | Upper bound |
---|---|---|
Scientific notation | \(1.267\times10^{230}\) | \(1.268\times10^{230}\) |
Arrow notation | \(200\uparrow100\) | |
Steinhaus-Moser Notation | 112[3] | 113[3] |
Copy notation | 1[231] | 2[231] |
Taro's multivariable Ackermann function | A(3,761) | A(3,762) |
Pound-Star Notation | #*((56))*10 | #*((57))*10 |
BEAF | {200,100} | |
Hyper-E notation | E[200]100 | |
Bashicu matrix system | (0)(0)(0)(0)(0)(0)[3938] | (0)(0)(0)(0)(0)(0)[3939] |
Hyperfactorial array notation | 134! | 135! |
Fast-growing hierarchy | \(f_2(754)\) | \(f_2(755)\) |
Hardy hierarchy | \(H_{\omega^2}(754)\) | \(H_{\omega^2}(755)\) |
Slow-growing hierarchy | \(g_{\omega^{100}}(200)\) |
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