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34141142313 = 32171973160883
BaseRepresentation
bin11111110010111110…
…000111110100101001
310021010100120201200100
4133302332013310221
51024410113023223
623403443100013
72316022631025
oct376276076451
9107110521610
1034141142313
111352a86a5a3
126749971609
1332b1303a75
14191c41d385
15d4c47e043
hex7f2f87d29

34141142313 has 48 divisors (see below), whose sum is σ = 55717346880. Its totient is φ = 20016294912.

The previous prime is 34141142291. The next prime is 34141142369. The reversal of 34141142313 is 31324114143.

34141142313 is a `hidden beast` number, since 3 + 414 + 1 + 14 + 231 + 3 = 666.

It is not a de Polignac number, because 34141142313 - 25 = 34141142281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34141142383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131770 + ... + 292652.

It is an arithmetic number, because the mean of its divisors is an integer number (1160778060).

Almost surely, 234141142313 is an apocalyptic number.

It is an amenable number.

34141142313 is a deficient number, since it is larger than the sum of its proper divisors (21576204567).

34141142313 is a wasteful number, since it uses less digits than its factorization.

34141142313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160998 (or 160995 counting only the distinct ones).

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

Adding to 34141142313 its reverse (31324114143), we get a palindrome (65465256456).

The spelling of 34141142313 in words is "thirty-four billion, one hundred forty-one million, one hundred forty-two thousand, three hundred thirteen".

Divisors: 1 3 9 17 19 51 57 73 153 171 219 323 657 969 1241 1387 2907 3723 4161 11169 12483 23579 70737 160883 212211 482649 1447947 2735011 3056777 8205033 9170331 11744459 24615099 27510993 35233377 51965209 105700131 155895627 199655803 223144721 467686881 598967409 669434163 1796902227 2008302489 3793460257 11380380771 34141142313