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34131241413 = 32191371456919
BaseRepresentation
bin11111110010011000…
…010110100111000101
310021002122221201012100
4133302120112213011
51024400044211123
623402450542313
72315542523313
oct376230264705
9107078851170
1034131241413
1113525217935
126746597999
1332ac248349
14191ada30b3
15d4b675643
hex7f26169c5

34131241413 has 24 divisors (see below), whose sum is σ = 52274289600. Its totient is φ = 21399211584.

The previous prime is 34131241379. The next prime is 34131241429. The reversal of 34131241413 is 31414213143.

34131241413 is a `hidden beast` number, since 3 + 4 + 1 + 3 + 1 + 241 + 413 = 666.

It is not a de Polignac number, because 34131241413 - 26 = 34131241349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34131241913) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 705033 + ... + 751886.

It is an arithmetic number, because the mean of its divisors is an integer number (2178095400).

Almost surely, 234131241413 is an apocalyptic number.

It is an amenable number.

34131241413 is a deficient number, since it is larger than the sum of its proper divisors (18143048187).

34131241413 is a wasteful number, since it uses less digits than its factorization.

34131241413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457081 (or 1457078 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 34131241413 its reverse (31414213143), we get a palindrome (65545454556).

The spelling of 34131241413 in words is "thirty-four billion, one hundred thirty-one million, two hundred forty-one thousand, four hundred thirteen".

Divisors: 1 3 9 19 57 137 171 411 1233 2603 7809 23427 1456919 4370757 13112271 27681461 83044383 199597903 249133149 598793709 1796381127 3792360157 11377080471 34131241413