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57146320440 = 233251121311899
BaseRepresentation
bin110101001110001011…
…111010011000111000
312110111121212212022200
4311032023322120320
51414013424223230
642130323550200
74062065465136
oct651613723070
9173447785280
1057146320440
1122265676400
12b0aa22b360
135509486ac1
142aa1898756
151746e63160
hexd4e2fa638

57146320440 has 144 divisors (see below), whose sum is σ = 204144759000. Its totient is φ = 13853642880.

The previous prime is 57146320423. The next prime is 57146320459. The reversal of 57146320440 is 4402364175.

57146320440 is a `hidden beast` number, since 5 + 7 + 14 + 632 + 0 + 4 + 4 + 0 = 666.

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 = 57146320395 and 57146320404.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 612390 + ... + 699509.

Almost surely, 257146320440 is an apocalyptic number.

It is an amenable number.

57146320440 is an abundant number, since it is smaller than the sum of its proper divisors (146998438560).

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

57146320440 is a wasteful number, since it uses less digits than its factorization.

57146320440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311938 (or 1311920 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 57146320440 in words is "fifty-seven billion, one hundred forty-six million, three hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 121 132 165 180 198 220 242 264 330 360 363 396 440 484 495 605 660 726 792 968 990 1089 1210 1320 1452 1815 1980 2178 2420 2904 3630 3960 4356 4840 5445 7260 8712 10890 14520 21780 43560 1311899 2623798 3935697 5247596 6559495 7871394 10495192 11807091 13118990 14430889 15742788 19678485 23614182 26237980 28861778 31485576 39356970 43292667 47228364 52475960 57723556 59035455 72154445 78713940 86585334 94456728 115447112 118070910 129878001 144308890 157427880 158739779 173170668 216463335 236141820 259756002 288617780 317479558 346341336 432926670 472283640 476219337 519512004 577235560 634959116 649390005 793698895 865853340 952438674 1039024008 1269918232 1298780010 1428658011 1587397790 1731706680 1904877348 2381096685 2597560020 2857316022 3174795580 3809754696 4762193370 5195120040 5714632044 6349591160 7143290055 9524386740 11429264088 14286580110 19048773480 28573160220 57146320440