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13402133121042 = 2321743797820657
BaseRepresentation
bin1100001100000110110101…
…1000100100100000010010
31202110020020200220200020100
43003001231120210200102
53224040032034333132
644300504400553230
72552162231624241
oct303015530444022
952406220820210
1013402133121042
1142a78a3832546
12160550b322816
13762a7b210053
14344949616958
1518394848b37c
hexc306d624812

13402133121042 has 24 divisors (see below), whose sum is σ = 30746070101916. Its totient is φ = 4204590782976.

The previous prime is 13402133121017. The next prime is 13402133121103. The reversal of 13402133121042 is 24012133120431.

13402133121042 is a `hidden beast` number, since 1 + 3 + 402 + 1 + 3 + 3 + 1 + 210 + 42 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13399838615241 + 2294505801 = 3660579^2 + 47901^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13402133120997 and 13402133121015.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21898910023 + ... + 21898910634.

Almost surely, 213402133121042 is an apocalyptic number.

13402133121042 is an abundant number, since it is smaller than the sum of its proper divisors (17343936980874).

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

13402133121042 is a wasteful number, since it uses less digits than its factorization.

13402133121042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43797820682 (or 43797820679 counting only the distinct ones).

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

Adding to 13402133121042 its reverse (24012133120431), we get a palindrome (37414266241473).

The spelling of 13402133121042 in words is "thirteen trillion, four hundred two billion, one hundred thirty-three million, one hundred twenty-one thousand, forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 43797820657 87595641314 131393461971 262786923942 394180385913 744562951169 788360771826 1489125902338 2233688853507 4467377707014 6701066560521 13402133121042