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444024042446884 = 22312149222812
BaseRepresentation
bin110010011110101100110011…
…1010100100110000000100100
32011020011021122221222200021011
41210331121213110212000210
5431144342214331300014
64212205455030232004
7162345451462311514
oct14475314724460044
92136137587880234
10444024042446884
111195305a2307549
1241972a014b5604
131609b39794c773
147b90c4218b844
15365013e8cd7c4
hex193d667526024

444024042446884 has 81 divisors (see below), whose sum is σ = 808695927122643. Its totient is φ = 213314835369600.

The previous prime is 444024042446879. The next prime is 444024042446909. The reversal of 444024042446884 is 488644240420444.

The square root of 444024042446884 is 21071878.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 47687615206884 + 396336427240000 = 6905622^2 + 19908200^2 .

It is a super-2 number, since 2×4440240424468842 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 194662007824 + ... + 194662010104.

Almost surely, 2444024042446884 is an apocalyptic number.

444024042446884 is the 21071878-th square number.

It is an amenable number.

444024042446884 is a deficient number, since it is larger than the sum of its proper divisors (364671884675759).

444024042446884 is an frugal number, since it uses more digits than its factorization.

444024042446884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4926 (or 2463 counting only the distinct ones).

The product of its (nonzero) digits is 100663296, while the sum is 58.

The spelling of 444024042446884 in words is "four hundred forty-four trillion, twenty-four billion, forty-two million, four hundred forty-six thousand, eight hundred eighty-four".

Divisors: 1 2 4 31 62 124 149 298 596 961 1922 2281 3844 4562 4619 9124 9238 18476 22201 44402 70711 88804 141422 143189 282844 286378 339869 572756 679738 688231 1359476 1376462 2192041 2752924 4384082 5202961 8768164 10405922 10535939 20811844 21071878 21335161 42143756 42670322 50640481 85340644 101280962 161291791 202561924 322583582 326614109 645167164 653228218 775241189 1306456436 1550482378 1569854911 3100964756 3139709822 5000045521 6279419644 10000091042 20000182084 24032476859 48064953718 48665502241 96129907436 97331004482 115510937161 194662008964 231021874322 462043748644 745006782629 1490013565258 2980027130516 3580839051991 7161678103982 14323356207964 111006010611721 222012021223442 444024042446884