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34131424225 = 523736898837
BaseRepresentation
bin11111110010011001…
…000011001111100001
310021002200021222222011
4133302121003033201
51024400121033400
623402454512521
72315544214303
oct376231031741
9107080258864
1034131424225
1113525332218
126746665741
1332ac2b0612
14191b00d973
15d4b6ae8ba
hex7f26433e1

34131424225 has 12 divisors (see below), whose sum is σ = 43466831164. Its totient is φ = 26567161920.

The previous prime is 34131424207. The next prime is 34131424237. The reversal of 34131424225 is 52242413143.

It can be written as a sum of positive squares in 6 ways, for example, as 435682129 + 33695742096 = 20873^2 + 183564^2 .

It is not a de Polignac number, because 34131424225 - 231 = 31983940577 is a prime.

It is a Duffinian number.

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 11 ways as a sum of consecutive naturals, for example, 18448494 + ... + 18450343.

Almost surely, 234131424225 is an apocalyptic number.

It is an amenable number.

34131424225 is a deficient number, since it is larger than the sum of its proper divisors (9335406939).

34131424225 is a wasteful number, since it uses less digits than its factorization.

34131424225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36898884 (or 36898879 counting only the distinct ones).

The product of its digits is 23040, while the sum is 31.

Adding to 34131424225 its reverse (52242413143), we get a palindrome (86373837368).

The spelling of 34131424225 in words is "thirty-four billion, one hundred thirty-one million, four hundred twenty-four thousand, two hundred twenty-five".

Divisors: 1 5 25 37 185 925 36898837 184494185 922470925 1365256969 6826284845 34131424225