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140351313251325 = 35211404834202327
BaseRepresentation
bin11111111010011000010110…
…001010111000101111111101
3200101221110021100002211010010
4133322120112022320233331
5121344003442143020300
61214300300405133433
741364022244455311
oct3772302612705775
9611843240084103
10140351313251325
11407a1726419770
12138a90369ba279
1360410c23a66c7
14269307b32db41
151135cd699ba50
hex7fa6162b8bfd

140351313251325 has 48 divisors (see below), whose sum is σ = 253149045566976. Its totient is φ = 68047424452800.

The previous prime is 140351313251297. The next prime is 140351313251327. The reversal of 140351313251325 is 523152313153041.

It is a happy number.

It is not a de Polignac number, because 140351313251325 - 232 = 140347018284029 is a prime.

It is a super-2 number, since 2×1403513132513252 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140351313251327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31297312 + ... + 35499638.

It is an arithmetic number, because the mean of its divisors is an integer number (5273938449312).

Almost surely, 2140351313251325 is an apocalyptic number.

140351313251325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

140351313251325 is a deficient number, since it is larger than the sum of its proper divisors (112797732315651).

140351313251325 is a wasteful number, since it uses less digits than its factorization.

140351313251325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4242834 (or 4242829 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 39.

The spelling of 140351313251325 in words is "one hundred forty trillion, three hundred fifty-one billion, three hundred thirteen million, two hundred fifty-one thousand, three hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 165 275 825 40483 121449 202415 445313 607245 1012075 1335939 2226565 3036225 4202327 6679695 11132825 12606981 21011635 33398475 46225597 63034905 105058175 138676791 231127985 315174525 693383955 1155639925 3466919775 170122803941 510368411823 850614019705 1871350843351 2551842059115 4253070098525 5614052530053 9356754216755 12759210295575 28070262650265 46783771083775 140351313251325