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13031324441442 = 232113157379107671
BaseRepresentation
bin1011110110100001011101…
…1101101101101101100010
31201010210010101222000202100
42331220113131231231202
53202001123024111232
643414301404031230
72513324240065506
oct275502735555542
951123111860670
1013031324441442
11417460aa1522a
121565684232516
13736b05565378
14330a10314306
15178e946ccc7c
hexbda1776db62

13031324441442 has 96 divisors (see below), whose sum is σ = 28741731108480. Its totient is φ = 4266584824320.

The previous prime is 13031324441323. The next prime is 13031324441477. The reversal of 13031324441442 is 24414442313031.

13031324441442 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 132 + 44 + 41 + 442 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13031324441397 and 13031324441406.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120975267 + ... + 121082937.

It is an arithmetic number, because the mean of its divisors is an integer number (299393032380).

Almost surely, 213031324441442 is an apocalyptic number.

13031324441442 is an abundant number, since it is smaller than the sum of its proper divisors (15710406667038).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13031324441442 is a wasteful number, since it uses less digits than its factorization.

13031324441442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108328 (or 108325 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 13031324441442 its reverse (24414442313031), we get a palindrome (37445766754473).

The spelling of 13031324441442 in words is "thirteen trillion, thirty-one billion, three hundred twenty-four million, four hundred forty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 113 157 226 314 339 379 471 678 758 942 1017 1137 1413 2034 2274 2826 3411 6822 17741 35482 42827 53223 59503 85654 106446 107671 119006 128481 159669 178509 215342 256962 319338 323013 357018 385443 535527 646026 770886 969039 1071054 1938078 6723839 12166823 13447678 16904347 20171517 24333646 33808694 36500469 40343034 40807309 50713041 60514551 73000938 81614618 101426082 109501407 121029102 122421927 152139123 219002814 244843854 304278246 367265781 734531562 1910191211 3820382422 4611225917 5730573633 6406747513 9222451834 11461147266 12813495026 13833677751 17191720899 19220242539 27667355502 34383441798 38440485078 41501033253 57660727617 83002066506 115321455234 723962468969 1447924937938 2171887406907 4343774813814 6515662220721 13031324441442