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31353025140 = 223252413791907
BaseRepresentation
bin11101001100110010…
…010011001001110100
32222221001020200221100
4131030302103021310
51003202333301030
622223044050100
72156646213363
oct351462231164
988831220840
1031353025140
1112329a68928
1260b0093930
132c587a73a8
14173600d7da
15c377e0360
hex74cc93274

31353025140 has 144 divisors (see below), whose sum is σ = 95800985280. Its totient is φ = 8299791360.

The previous prime is 31353025097. The next prime is 31353025141. The reversal of 31353025140 is 4152035313.

31353025140 is a `hidden beast` number, since 313 + 5 + 302 + 5 + 1 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31353025141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16440067 + ... + 16441973.

It is an arithmetic number, because the mean of its divisors is an integer number (665284620).

Almost surely, 231353025140 is an apocalyptic number.

31353025140 is a gapful number since it is divisible by the number (30) 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 31353025140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47900492640).

31353025140 is an abundant number, since it is smaller than the sum of its proper divisors (64447960140).

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

31353025140 is a wasteful number, since it uses less digits than its factorization.

31353025140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2542 (or 2537 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 31353025140 in words is "thirty-one billion, three hundred fifty-three million, twenty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 241 379 482 723 758 964 1137 1205 1446 1516 1895 1907 2169 2274 2410 2892 3411 3615 3790 3814 4338 4548 4820 5685 5721 6822 7230 7580 7628 8676 9535 10845 11370 11442 13644 14460 17055 17163 19070 21690 22740 22884 28605 34110 34326 38140 43380 57210 68220 68652 85815 91339 114420 171630 182678 274017 343260 365356 456695 459587 548034 722753 822051 913390 919174 1096068 1370085 1378761 1445506 1644102 1826780 1838348 2168259 2297935 2740170 2757522 2891012 3288204 3613765 4110255 4136283 4336518 4595870 5480340 5515044 6504777 6893805 7227530 8220510 8272566 8673036 9191740 10841295 13009554 13787610 14455060 16441020 16545132 20681415 21682590 26019108 27575220 32523885 41362830 43365180 65047770 82725660 130095540 174183473 348366946 522550419 696733892 870917365 1045100838 1567651257 1741834730 2090201676 2612752095 3135302514 3483669460 5225504190 6270605028 7838256285 10451008380 15676512570 31353025140