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14130442524 = 22311372893211
BaseRepresentation
bin11010010100011110…
…10111000100011100
31100110202220212002010
431022033113010130
5212414343130044
610254052231220
71010110531302
oct151217270434
940422825063
1014130442524
115aa12a2680
1228a430b510
131442650bc3
14980950272
1557a7ecbb9
hex34a3d711c

14130442524 has 48 divisors (see below), whose sum is σ = 36940530816. Its totient is φ = 4166222400.

The previous prime is 14130442523. The next prime is 14130442597. The reversal of 14130442524 is 42524403141.

14130442524 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14130442491 and 14130442500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14130442523) 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 15 ways as a sum of consecutive naturals, for example, 1441722 + ... + 1451489.

It is an arithmetic number, because the mean of its divisors is an integer number (769594392).

Almost surely, 214130442524 is an apocalyptic number.

It is an amenable number.

14130442524 is an abundant number, since it is smaller than the sum of its proper divisors (22810088292).

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

14130442524 is a wasteful number, since it uses less digits than its factorization.

14130442524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2893266 (or 2893264 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 14130442524 its reverse (42524403141), we get a palindrome (56654845665).

It can be divided in two parts, 14130 and 442524, that added together give a palindrome (456654).

The spelling of 14130442524 in words is "fourteen billion, one hundred thirty million, four hundred forty-two thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2442 4884 2893211 5786422 8679633 11572844 17359266 31825321 34718532 63650642 95475963 107048807 127301284 190951926 214097614 321146421 381903852 428195228 642292842 1177536877 1284585684 2355073754 3532610631 4710147508 7065221262 14130442524