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31430425504 = 2529414319211
BaseRepresentation
bin11101010001011001…
…100011101110100000
310000010102220001021111
4131101121203232200
51003332142104004
622234451033104
72161606131412
oct352131435640
9100112801244
1031430425504
1112369723975
126111b9b794
132c6b83741a
1417423da9b2
15c3e4cda04
hex751663ba0

31430425504 has 96 divisors (see below), whose sum is σ = 67102136640. Its totient is φ = 14458214400.

The previous prime is 31430425489. The next prime is 31430425511. The reversal of 31430425504 is 40552403413.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1626459 + ... + 1645669.

It is an arithmetic number, because the mean of its divisors is an integer number (698980590).

Almost surely, 231430425504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31430425504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33551068320).

31430425504 is an abundant number, since it is smaller than the sum of its proper divisors (35671711136).

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

31430425504 is a wasteful number, since it uses less digits than its factorization.

31430425504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19334 (or 19326 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 31430425504 its reverse (40552403413), we get a palindrome (71982828917).

The spelling of 31430425504 in words is "thirty-one billion, four hundred thirty million, four hundred twenty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 29 32 41 43 58 82 86 116 164 172 232 328 344 464 656 688 928 1189 1247 1312 1376 1763 2378 2494 3526 4756 4988 7052 9512 9976 14104 19024 19211 19952 28208 38048 38422 39904 51127 56416 76844 102254 153688 204508 307376 409016 557119 614752 787651 818032 826073 1114238 1575302 1636064 1652146 2228476 3150604 3304292 4456952 6301208 6608584 8913904 12602416 13217168 17827808 22841879 23956117 25204832 26434336 33868993 45683758 47912234 67737986 91367516 95824468 135475972 182735032 191648936 270951944 365470064 383297872 541903888 730940128 766595744 982200797 1083807776 1964401594 3928803188 7857606376 15715212752 31430425504