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256402332040 = 235172363125981
BaseRepresentation
bin1110111011001011000…
…1010001100110001000
3220111211010020000121011
43232302301101212020
513200102444111130
6313442315453304
724344613601561
oct3566261214610
9814733200534
10256402332040
1199815483058
1241838757234
131b24260484a
14c5a4c31168
156a09e2652a
hex3bb2c51988

256402332040 has 128 divisors (see below), whose sum is σ = 638433861120. Its totient is φ = 92181196800.

The previous prime is 256402332013. The next prime is 256402332047. The reversal of 256402332040 is 40233204652.

It is a junction number, because it is equal to n+sod(n) for n = 256402331993 and 256402332011.

It is not an unprimeable number, because it can be changed into a prime (256402332047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9855850 + ... + 9881830.

It is an arithmetic number, because the mean of its divisors is an integer number (4987764540).

Almost surely, 2256402332040 is an apocalyptic number.

256402332040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256402332040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319216930560).

256402332040 is an abundant number, since it is smaller than the sum of its proper divisors (382031529080).

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

256402332040 is a wasteful number, since it uses less digits than its factorization.

256402332040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26663 (or 26659 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 256402332040 its reverse (40233204652), we get a palindrome (296635536692).

The spelling of 256402332040 in words is "two hundred fifty-six billion, four hundred two million, three hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 23 34 40 46 68 85 92 115 136 170 184 230 340 391 460 631 680 782 920 1262 1564 1955 2524 3128 3155 3910 5048 6310 7820 10727 12620 14513 15640 21454 25240 25981 29026 42908 51962 53635 58052 72565 85816 103924 107270 116104 129905 145130 207848 214540 246721 259810 290260 429080 441677 493442 519620 580520 597563 883354 986884 1039240 1195126 1233605 1766708 1973768 2208385 2390252 2467210 2987815 3533416 4416770 4780504 4934420 5975630 8833540 9868840 10158571 11951260 16394011 17667080 20317142 23902520 32788022 40634284 50792855 65576044 81268568 81970055 101585710 131152088 163940110 203171420 278698187 327880220 377062253 406342840 557396374 655760440 754124506 1114792748 1393490935 1508249012 1885311265 2229585496 2786981870 3016498024 3770622530 5573963740 6410058301 7541245060 11147927480 12820116602 15082490120 25640233204 32050291505 51280466408 64100583010 128201166020 256402332040