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31043933640 = 233459581461
BaseRepresentation
bin11100111010010111…
…001101010111001000
32222010111122020010000
4130322113031113020
51002034221334030
622132243123000
72146204040106
oct347227152710
988114566100
1031043933640
1112190544905
126024673460
132c09745405
141706d50c76
15c1a5d7860
hex73a5cd5c8

31043933640 has 80 divisors (see below), whose sum is σ = 104342121180. Its totient is φ = 8278381440.

The previous prime is 31043933629. The next prime is 31043933677. The reversal of 31043933640 is 4633934013.

31043933640 is a `hidden beast` number, since 3 + 1 + 0 + 4 + 3 + 9 + 3 + 3 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31034459556 + 9474084 = 176166^2 + 3078^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 31043933595 and 31043933604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4787491 + ... + 4793970.

Almost surely, 231043933640 is an apocalyptic number.

31043933640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31043933640 is an abundant number, since it is smaller than the sum of its proper divisors (73298187540).

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

31043933640 is a wasteful number, since it uses less digits than its factorization.

31043933640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9581484 (or 9581471 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 31043933640 in words is "thirty-one billion, forty-three million, nine hundred thirty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 9581461 19162922 28744383 38325844 47907305 57488766 76651688 86233149 95814610 114977532 143721915 172466298 191629220 229955064 258699447 287443830 344932596 383258440 431165745 517398894 574887660 689865192 776098341 862331490 1034797788 1149775320 1293497235 1552196682 1724662980 2069595576 2586994470 3104393364 3449325960 3880491705 5173988940 6208786728 7760983410 10347977880 15521966820 31043933640