Googolex is a number in the googol family with the addition of the -ex suffix, a verbalized X, to raise the -L (50) to -LX (60). It is equal to \(120^{60}\), or \(g(2,60,120)\) in the Ackermann's Generalized Exponential Notation.[1] It is 125 digits long. Its decimal expression is
Approximations[]
Notation | Lower bound | Upper bound |
---|---|---|
Scientific notation | \(5.634\times10^{124}\) | \(5.635\times10^{124}\) |
Arrow notation | \(120\uparrow60\) | |
Steinhaus-Moser Notation | 68[3] | 69[3] |
Copy notation | 5[125] | 6[125] |
Taro's multivariable Ackermann function | A(3,411) | A(3,412) |
Pound-Star Notation | #*(4,9,2,7,5,0,0,10)*8 | #*(5,9,2,7,5,0,0,10)*8 |
BEAF | {120,60} | |
Hyper-E notation | E[120]60 | |
Bashicu matrix system | (0)(0)(0)(0)(0)[7915] | (0)(0)(0)(0)(0)[7916] |
Hyperfactorial array notation | 83! | 84! |
Fast-growing hierarchy | \(f_2(405)\) | \(f_2(406)\) |
Hardy hierarchy | \(H_{\omega^2}(405)\) | \(H_{\omega^2}(406)\) |
Slow-growing hierarchy | \(g_{\omega^{60}}(120)\) |
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