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444534565435444 = 221131011575265583
BaseRepresentation
bin110010100010011010100010…
…0110111001111100000110100
32011021222002102012001121001201
41211010311010313033200310
5431231223242222413234
64213240205441502244
7162430363636154131
oct14504650467174064
92137862365047051
10444534565435444
11119708061218000
1241a3593a641984
1316107577c2b593
147bab832b91588
15365d56e279314
hex1944d44dcf834

444534565435444 has 96 divisors (see below), whose sum is σ = 869646835072512. Its totient is φ = 198786251664000.

The previous prime is 444534565435417. The next prime is 444534565435559.

444534565435444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4445345654354442 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81789877 + ... + 87055459.

It is an arithmetic number, because the mean of its divisors is an integer number (9058821198672).

Almost surely, 2444534565435444 is an apocalyptic number.

444534565435444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444534565435444 is a deficient number, since it is larger than the sum of its proper divisors (425112269637068).

444534565435444 is a wasteful number, since it uses less digits than its factorization.

444534565435444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5265878 (or 5265854 counting only the distinct ones).

The product of its digits is 2211840000, while the sum is 64.

The spelling of 444534565435444 in words is "four hundred forty-four trillion, five hundred thirty-four billion, five hundred sixty-five million, four hundred thirty-five thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 44 101 121 157 202 242 314 404 484 628 1111 1331 1727 2222 2662 3454 4444 5324 6908 12221 15857 18997 24442 31714 37994 48884 63428 75988 134431 174427 208967 268862 348854 417934 537724 697708 835868 1918697 3837394 5265583 7674788 10531166 21062332 21105667 42211334 57921413 84422668 115842826 231685652 531823883 637135543 826696531 1063647766 1274271086 1653393062 2127295532 2548542172 3306786124 5850062713 7008490973 9093661841 11700125426 14016981946 18187323682 23400250852 28033963892 36374647364 64350689843 83496349631 100030280251 128701379686 166992699262 200060560502 257402759372 333985398524 400121121004 707857588273 918459845941 1100333082761 1415715176546 1836919691882 2200666165522 2831430353092 3673839383764 4401332331044 10103058305351 20206116610702 40412233221404 111133641358861 222267282717722 444534565435444