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13342467141 = 3223283421541
BaseRepresentation
bin11000110110100010…
…11110010001000101
31021102212012120001200
430123101132101011
5204311132422031
610043543213113
7651432046053
oct143321362105
937385176050
1013342467141
115727525053
122704447199
13134831b293
149080351d3
1553154d8e6
hex31b45e445

13342467141 has 48 divisors (see below), whose sum is σ = 20266776192. Its totient is φ = 8442403200.

The previous prime is 13342467097. The next prime is 13342467157. The reversal of 13342467141 is 14176424331.

13342467141 is a `hidden beast` number, since 1 + 33 + 424 + 67 + 141 = 666.

It is not a de Polignac number, because 13342467141 - 27 = 13342467013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13342467096 and 13342467105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13342467161) 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, 24662331 + ... + 24662871.

It is an arithmetic number, because the mean of its divisors is an integer number (422224504).

Almost surely, 213342467141 is an apocalyptic number.

It is an amenable number.

13342467141 is a deficient number, since it is larger than the sum of its proper divisors (6924309051).

13342467141 is a wasteful number, since it uses less digits than its factorization.

13342467141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1271 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The spelling of 13342467141 in words is "thirteen billion, three hundred forty-two million, four hundred sixty-seven thousand, one hundred forty-one".

Divisors: 1 3 9 23 69 207 283 421 541 849 1263 1623 2547 3789 4869 6509 9683 12443 19527 29049 37329 58581 87147 111987 119143 153103 227761 357429 459309 683283 1072287 1377927 2049849 2740289 3521369 5238503 8220867 10564107 15715509 24662601 31692321 47146527 64456363 193369089 580107267 1482496349 4447489047 13342467141