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31004410432 = 2631127123049
BaseRepresentation
bin11100111000000000…
…011100001001000000
32222000202021020110111
4130320000130021000
51001444112113212
622124312041104
72145214066102
oct347000341100
988022236414
1031004410432
11121701aa4a6
126013393194
132c014b78b8
1417019c3572
15c16dcbea7
hex73801c240

31004410432 has 56 divisors (see below), whose sum is σ = 64009625600. Its totient is φ = 14883886080.

The previous prime is 31004410421. The next prime is 31004410447. The reversal of 31004410432 is 23401440013.

It is a super-2 number, since 2×310044104322 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190444 + ... + 313492.

Almost surely, 231004410432 is an apocalyptic number.

31004410432 is a gapful number since it is divisible by the number (32) 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 31004410432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32004812800).

31004410432 is an abundant number, since it is smaller than the sum of its proper divisors (33005215168).

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

31004410432 is a wasteful number, since it uses less digits than its factorization.

31004410432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123219 (or 123209 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 31004410432 its reverse (23401440013), we get a palindrome (54405850445).

The spelling of 31004410432 in words is "thirty-one billion, four million, four hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 127 248 254 496 508 992 1016 1984 2032 3937 4064 7874 8128 15748 31496 62992 123049 125984 246098 251968 492196 984392 1968784 3814519 3937568 7629038 7875136 15258076 15627223 30516152 31254446 61032304 62508892 122064608 125017784 244129216 250035568 484443913 500071136 968887826 1000142272 1937775652 3875551304 7751102608 15502205216 31004410432