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405137142 = 23243523433
BaseRepresentation
bin11000001001011…
…110011011110110
31001020100002200100
4120021132123312
51312203342032
6104111254530
713016415564
oct3011363366
91036302610
10405137142
11198764593
12b381a446
1365c1c927
143bb40a34
152587a97c
hex1825e6f6

405137142 has 24 divisors (see below), whose sum is σ = 898212744. Its totient is φ = 131904864.

The previous prime is 405137123. The next prime is 405137179. The reversal of 405137142 is 241731504.

405137142 is a `hidden beast` number, since 4 + 0 + 513 + 7 + 142 = 666.

It is a super-2 number, since 2×4051371422 = 328272207655856328, which contains 22 as substring.

It is a congruent number.

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, 260943 + ... + 262490.

It is an arithmetic number, because the mean of its divisors is an integer number (37425531).

Almost surely, 2405137142 is an apocalyptic number.

405137142 is an abundant number, since it is smaller than the sum of its proper divisors (493075602).

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

405137142 is a wasteful number, since it uses less digits than its factorization.

405137142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523484 (or 523481 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 405137142 is about 20128.0188294824. The cubic root of 405137142 is about 739.9471242959.

Adding to 405137142 its reverse (241731504), we get a palindrome (646868646).

The spelling of 405137142 in words is "four hundred five million, one hundred thirty-seven thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 43 86 129 258 387 774 523433 1046866 1570299 3140598 4710897 9421794 22507619 45015238 67522857 135045714 202568571 405137142