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444442323244444 = 227263247326719137
BaseRepresentation
bin110010100001101111100101…
…0110011001101010110011100
32011021122021022200002210010021
41211003133022303031112130
5431223220334222310234
64213125552403321524
7162420620042366440
oct14503371263152634
92137567280083107
10444442323244444
11119681a2697a6a8
1241a1ba969802a4
13160cb967724a85
147ba71a2192820
15365ae711499b4
hex19437caccd59c

444442323244444 has 96 divisors (see below), whose sum is σ = 893057159909376. Its totient is φ = 189582548060160.

The previous prime is 444442323244411. The next prime is 444442323244561.

It is a happy number.

444442323244444 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 444442323244391 and 444442323244400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48642035844 + ... + 48642044980.

It is an arithmetic number, because the mean of its divisors is an integer number (9302678749056).

Almost surely, 2444442323244444 is an apocalyptic number.

It is an amenable number.

444442323244444 is an abundant number, since it is smaller than the sum of its proper divisors (448614836664932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

444442323244444 is a wasteful number, since it uses less digits than its factorization.

444442323244444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14555 (or 14553 counting only the distinct ones).

The product of its digits is 75497472, while the sum is 52.

The spelling of 444442323244444 in words is "four hundred forty-four trillion, four hundred forty-two billion, three hundred twenty-three million, two hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 263 526 1052 1841 2473 2671 3682 4946 5342 7364 9137 9892 10684 17311 18274 18697 34622 36548 37394 63959 69244 74788 127918 255836 650399 702473 1300798 1404946 2403031 2601596 2809892 4552793 4806062 4917311 6605383 9105586 9612124 9834622 13210766 16821217 18211172 19669244 22595801 24404927 26421532 33642434 45191602 46237681 48809854 67284868 90383204 92475362 97619708 158170607 170834489 184950724 316341214 341668978 632682428 683337956 1737215729 3474431458 5942695663 6418495801 6948862916 11885391326 12160510103 12836991602 23770782652 24321020206 25673983204 41598869641 44929470607 48642040412 60353384471 83197739282 89858941214 120706768942 166395478564 179717882428 241413537884 422473691297 844947382594 1689894765188 15872940115873 31745880231746 63491760463492 111110580811111 222221161622222 444442323244444