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34345344125 = 53274762753
BaseRepresentation
bin11111111111001001…
…000101110001111101
310021122120211020220102
4133333021011301331
51030314402003000
623440015530445
72324052415421
oct377711056175
9107576736812
1034345344125
1113625062424
1267a6229a25
1333146cc741
14193b5b6b81
15d603683d5
hex7ff245c7d

34345344125 has 8 divisors (see below), whose sum is σ = 42862989624. Its totient is φ = 27476275200.

The previous prime is 34345344109. The next prime is 34345344151. The reversal of 34345344125 is 52144354343.

It can be written as a sum of positive squares in 4 ways, for example, as 4054378276 + 30290965849 = 63674^2 + 174043^2 .

It is not a de Polignac number, because 34345344125 - 24 = 34345344109 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137381252 + ... + 137381501.

It is an arithmetic number, because the mean of its divisors is an integer number (5357873703).

Almost surely, 234345344125 is an apocalyptic number.

It is an amenable number.

34345344125 is a deficient number, since it is larger than the sum of its proper divisors (8517645499).

34345344125 is an equidigital number, since it uses as much as digits as its factorization.

34345344125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274762768 (or 274762758 counting only the distinct ones).

The product of its digits is 345600, while the sum is 38.

Adding to 34345344125 its reverse (52144354343), we get a palindrome (86489698468).

The spelling of 34345344125 in words is "thirty-four billion, three hundred forty-five million, three hundred forty-four thousand, one hundred twenty-five".

Divisors: 1 5 25 125 274762753 1373813765 6869068825 34345344125