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Forty-fours is equal to \(4 \lfloor 10^{40} / 9\rfloor\), or 40 copies of 4:[1]

4,444,444,444,444,444,444,444,444,444,444,444,444,444 or hypermathematically with interior superscription as \(4^{38}4\)
googology

Its prime factorization is 22 × 11 × 41 × 73 × 101 × 137 × 271 × 3,541 × 9,091 × 27,961 × 1,676,321 × 5,964,848,081.

Approximations

Notation Lower bound Upper bound
Scientific notation \(4.444\times10^{39}\) \(4.445\times10^{39}\)
Arrow notation \(96\uparrow20\) \(53\uparrow23\)
Steinhaus-Moser Notation 27[3] 28[3]
Copy notation 4[40]
Taro's multivariable Ackermann function A(3,128) A(3,129)
Pound-Star Notation #*(9,8,0,2)*7 #*(0,5,1,9,10)*5
BEAF {96,20} {53,23}
Hyper-E notation 4E39 5E39
Bashicu matrix system (0)(0)(0)[90360] (0)(0)(0)[90361]
Hyperfactorial array notation 34! 35!
Fast-growing hierarchy \(f_2(124)\) \(f_2(125)\)
Hardy hierarchy \(H_{\omega^2}(124)\) \(H_{\omega^2}(125)\)
Slow-growing hierarchy \(g_{\omega^{\omega2}13}(16)\) \(g_{\omega^{\omega6+4}6}(7)\)

Sources

  1. Halm, Michael Joseph. neologisms. Archived from the original on 2014-02-19. Retrieved 2018-02-26.

See also

Repdigit googologisms
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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