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41313138507 = 34292372443
BaseRepresentation
bin100110011110011101…
…000111011101001011
310221122011221212220000
4212132131013131023
51134102130413012
630551243534043
72661530611644
oct463635073513
9127564855800
1041313138507
111658020a483
12800b82a323
133b8513a7b4
141ddcb4c6cb
15111be1eddc
hex99e74774b

41313138507 has 90 divisors (see below), whose sum is σ = 65838600828. Its totient is φ = 25815246912.

The previous prime is 41313138479. The next prime is 41313138539. The reversal of 41313138507 is 70583131314.

41313138507 is a `hidden beast` number, since 4 + 1 + 3 + 13 + 138 + 507 = 666.

It is not a de Polignac number, because 41313138507 - 230 = 40239396683 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41313138007) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 93257428 + ... + 93257870.

Almost surely, 241313138507 is an apocalyptic number.

41313138507 is a deficient number, since it is larger than the sum of its proper divisors (24525462321).

41313138507 is an equidigital number, since it uses as much as digits as its factorization.

41313138507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 41313138507 in words is "forty-one billion, three hundred thirteen million, one hundred thirty-eight thousand, five hundred seven".

Divisors: 1 3 9 27 29 37 81 87 111 261 333 443 783 841 999 1073 1329 1369 2349 2523 2997 3219 3987 4107 7569 9657 11961 12321 12847 16391 22707 28971 31117 35883 36963 38541 39701 49173 68121 86913 93351 110889 115623 119103 147519 280053 346869 357309 372563 442557 475339 606467 840159 1040607 1071927 1117689 1151329 1327671 1426017 1819401 2520477 3215781 3353067 3453987 4278051 5458203 10059201 10361961 12834153 13784831 16374609 17587543 30177603 31085883 38502459 41354493 49123827 52762629 93257649 124063479 158287887 372190437 474863661 510038747 1116571311 1424590983 1530116241 4590348723 13771046169 41313138507