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12431441320 = 235615094853
BaseRepresentation
bin10111001001111100…
…01011110110101000
31012002100221122120121
423210332023312220
5200424422110240
65413320533024
7620030336104
oct134476136650
935070848517
1012431441320
1152aa251951
1224ab321174
13123166414c
1485d048904
154cb59504a
hex2e4f8bda8

12431441320 has 32 divisors (see below), whose sum is σ = 28429285320. Its totient is φ = 4891057920.

The previous prime is 12431441287. The next prime is 12431441357. The reversal of 12431441320 is 2314413421.

It can be written as a sum of positive squares in 4 ways, for example, as 2246191236 + 10185250084 = 47394^2 + 100922^2 .

It is a super-4 number, since 4×124314413204 (a number of 41 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2544987 + ... + 2549866.

Almost surely, 212431441320 is an apocalyptic number.

12431441320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12431441320 is an abundant number, since it is smaller than the sum of its proper divisors (15997844000).

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

12431441320 is a wasteful number, since it uses less digits than its factorization.

12431441320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5094925 (or 5094921 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 12431441320 its reverse (2314413421), we get a palindrome (14745854741).

The spelling of 12431441320 in words is "twelve billion, four hundred thirty-one million, four hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 5094853 10189706 20379412 25474265 40758824 50948530 101897060 203794120 310786033 621572066 1243144132 1553930165 2486288264 3107860330 6215720660 12431441320