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45142431525 = 32521429140401
BaseRepresentation
bin101010000010101100…
…101101011100100101
311022112001110010101100
4222002230231130211
51214422430302100
632423234550313
73155446223352
oct520254553445
9138461403340
1045142431525
11181657a8a54
1288ba138399
134345590159
142283547629
1512931c5400
hexa82b2d725

45142431525 has 36 divisors (see below), whose sum is σ = 80912268580. Its totient is φ = 24058944000.

The previous prime is 45142431517. The next prime is 45142431547. The reversal of 45142431525 is 52513424154.

45142431525 is a `hidden beast` number, since 4 + 51 + 42 + 43 + 1 + 525 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 20409836769 + 24732594756 = 142863^2 + 157266^2 .

It is not a de Polignac number, because 45142431525 - 23 = 45142431517 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 45142431525.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 251325 + ... + 391725.

Almost surely, 245142431525 is an apocalyptic number.

45142431525 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45142431525 is a deficient number, since it is larger than the sum of its proper divisors (35769837055).

45142431525 is a wasteful number, since it uses less digits than its factorization.

45142431525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141846 (or 141838 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

Adding to 45142431525 its reverse (52513424154), we get a palindrome (97655855679).

The spelling of 45142431525 in words is "forty-five billion, one hundred forty-two million, four hundred thirty-one thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 1429 4287 7145 12861 21435 35725 64305 107175 140401 321525 421203 702005 1263609 2106015 3510025 6318045 10530075 31590225 200633029 601899087 1003165145 1805697261 3009495435 5015825725 9028486305 15047477175 45142431525