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34457413113 = 3226813142789
BaseRepresentation
bin100000000101110100…
…100110010111111001
310021221101200221122200
4200011310212113321
51031032044204423
623455101540413
72326613115234
oct400564462771
9107841627580
1034457413113
1113682347522
126817874709
1333319aa756
14194c42a41b
15d6a103d43
hex805d265f9

34457413113 has 12 divisors (see below), whose sum is σ = 49774023780. Its totient is φ = 22970591136.

The previous prime is 34457413093. The next prime is 34457413157. The reversal of 34457413113 is 31131475443.

34457413113 is a `hidden beast` number, since 3 + 44 + 574 + 1 + 31 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26356873104 + 8100540009 = 162348^2 + 90003^2 .

It is not a de Polignac number, because 34457413113 - 216 = 34457347577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34457413013) 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 11 ways as a sum of consecutive naturals, for example, 169923 + ... + 312711.

It is an arithmetic number, because the mean of its divisors is an integer number (4147835315).

Almost surely, 234457413113 is an apocalyptic number.

It is an amenable number.

34457413113 is a deficient number, since it is larger than the sum of its proper divisors (15316610667).

34457413113 is a wasteful number, since it uses less digits than its factorization.

34457413113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169608 (or 169605 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

Adding to 34457413113 its reverse (31131475443), we get a palindrome (65588888556).

The spelling of 34457413113 in words is "thirty-four billion, four hundred fifty-seven million, four hundred thirteen thousand, one hundred thirteen".

Divisors: 1 3 9 26813 80439 142789 241317 428367 1285101 3828601457 11485804371 34457413113