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31142518302 = 23736723371
BaseRepresentation
bin11101000000001111…
…010001111000011110
32222101101010211211210
4131000033101320132
51002234441041202
622150124125250
72151512016000
oct350017217036
988341124753
1031142518302
1112231159a35
126051696826
132c23cb192c
141716094370
15c240acc6c
hex7403d1e1e

31142518302 has 96 divisors (see below), whose sum is σ = 73757779200. Its totient is φ = 8762458320.

The previous prime is 31142518301. The next prime is 31142518327. The reversal of 31142518302 is 20381524113.

It is a self number, because there is not a number n which added to its sum of digits gives 31142518302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31142518301) 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, 9236677 + ... + 9240047.

It is an arithmetic number, because the mean of its divisors is an integer number (768310200).

Almost surely, 231142518302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31142518302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36878889600).

31142518302 is an abundant number, since it is smaller than the sum of its proper divisors (42615260898).

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

31142518302 is an equidigital number, since it uses as much as digits as its factorization.

31142518302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3531 (or 3450 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 31142518302 in words is "thirty-one billion, one hundred forty-two million, five hundred eighteen thousand, three hundred two".

Divisors: 1 2 3 6 7 14 21 42 49 67 98 134 147 201 294 343 402 469 686 938 1029 1407 2058 2814 3283 3371 4489 6566 6742 8978 9849 10113 13467 19698 20226 22981 23597 26934 31423 45962 47194 62846 68943 70791 94269 137886 141582 165179 188538 219961 225857 330358 439922 451714 495537 659883 677571 991074 1156253 1319766 1355142 1539727 1580999 2312506 3079454 3161998 3468759 4619181 4742997 6937518 9238362 9485994 11066993 15132419 22133986 30264838 33200979 45397257 66401958 77468951 90794514 105926933 154937902 211853866 232406853 317780799 464813706 635561598 741488531 1482977062 2224465593 4448931186 5190419717 10380839434 15571259151 31142518302