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12405665142 = 2321353015663
BaseRepresentation
bin10111000110110111…
…10110110101110110
31012000120110002022100
423203123312311312
5200401322241032
65411000242530
7616265261643
oct134333666566
935016402270
1012405665142
115296746922
1224a2770446
13122920a880
14859858dca
154c91a297c
hex2e36f6d76

12405665142 has 24 divisors (see below), whose sum is σ = 28946552544. Its totient is φ = 3817127664.

The previous prime is 12405665141. The next prime is 12405665143. The reversal of 12405665142 is 24156650421.

12405665142 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 566 + 51 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (12405665141) and next prime (12405665143).

It is a junction number, because it is equal to n+sod(n) for n = 12405665097 and 12405665106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12405665141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26507598 + ... + 26508065.

It is an arithmetic number, because the mean of its divisors is an integer number (1206106356).

Almost surely, 212405665142 is an apocalyptic number.

12405665142 is an abundant number, since it is smaller than the sum of its proper divisors (16540887402).

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

12405665142 is a wasteful number, since it uses less digits than its factorization.

12405665142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53015684 (or 53015681 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 12405665142 in words is "twelve billion, four hundred five million, six hundred sixty-five thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 53015663 106031326 159046989 318093978 477140967 689203619 954281934 1378407238 2067610857 4135221714 6202832571 12405665142