The googolbar is equal to \(100,000^{50,000} = 10^{250,000} = g(2,50000,100000)\) in the Ackermann's Generalized Exponential Notation, or googol to the 2,500th power.[1] It is part of the googo- naming system. It is also called ten tresoctogintilliduotrigintatrecentillion in the short scale. It is 250,001 digits long.
Googolbar is also known as "ten treoctoginmilliatrecenduotrigintillion" according to Landon Curt Noll's The English name of a number.
Decimal expansion[]
See Googolbar/Decimal expansion.
Approximations[]
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{250\,000}\) | |
| Arrow notation | \(10\uparrow250\,000\) | |
| Steinhaus-Moser Notation | 6[3][3] | 7[3][3] |
| Copy notation | 2[2[6]] | 3[3[6]] |
| Chained arrow notation | \(10\rightarrow250\,000\) | |
| Taro's multivariable Ackermann function | A(3,A(3,16)) | A(3,A(3,17)) |
| Pound-Star Notation | #*((3199))*223 | #*((3200))*223 |
| BEAF | {10,250000} | |
| Hyper-E notation | E250,000 | |
| Bashicu matrix system | (0)(1)[4] | (0)(1)[5] |
| Hyperfactorial array notation | (8!)! | (9!)! |
| Fast-growing hierarchy | \(f_2(f_2(15))\) | \(f_2(f_2(16))\) |
| Hardy hierarchy | \(H_{\omega^22}(15)\) | \(H_{\omega^22}(16)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^52+\omega^45}}(10)\) | |
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