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34124140405 = 537527334981
BaseRepresentation
bin11111110001111101…
…010000111101110101
310021002011120221110001
4133301331100331311
51024341234443110
623402034431301
72315425256545
oct376175207565
9107064527401
1034124140405
1113521207833
126744132531
1332aa930174
14191a075325
15d4ac2163a
hex7f1f50f75

34124140405 has 16 divisors (see below), whose sum is σ = 42064875504. Its totient is φ = 26555696640.

The previous prime is 34124140381. The next prime is 34124140451. The reversal of 34124140405 is 50404142143.

It can be written as a sum of positive squares in 8 ways, for example, as 1160833041 + 32963307364 = 34071^2 + 181558^2 .

It is not a de Polignac number, because 34124140405 - 233 = 25534205813 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 15 ways as a sum of consecutive naturals, for example, 958015 + ... + 992995.

It is an arithmetic number, because the mean of its divisors is an integer number (2629054719).

Almost surely, 234124140405 is an apocalyptic number.

It is an amenable number.

34124140405 is a deficient number, since it is larger than the sum of its proper divisors (7940735099).

34124140405 is a wasteful number, since it uses less digits than its factorization.

34124140405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40296.

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 34124140405 its reverse (50404142143), we get a palindrome (84528282548).

The spelling of 34124140405 in words is "thirty-four billion, one hundred twenty-four million, one hundred forty thousand, four hundred five".

Divisors: 1 5 37 185 5273 26365 34981 174905 195101 975505 1294297 6471485 184454813 922274065 6824828081 34124140405