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402144132 = 223132839109
BaseRepresentation
bin10111111110000…
…011101110000100
31001000201001001010
4113332003232010
51310422103012
6103523202220
712652111605
oct2776035604
91030631033
10402144132
11196aaa925
12b2816370
1365412510
143b5a1dac
1525488c3c
hex17f83b84

402144132 has 48 divisors (see below), whose sum is σ = 1014198080. Its totient is φ = 123285888.

The previous prime is 402144107. The next prime is 402144137. The reversal of 402144132 is 231441204.

It is a junction number, because it is equal to n+sod(n) for n = 402144099 and 402144108.

It is not an unprimeable number, because it can be changed into a prime (402144137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39594 + ... + 48702.

Almost surely, 2402144132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402144132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507099040).

402144132 is an abundant number, since it is smaller than the sum of its proper divisors (612053948).

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

402144132 is a wasteful number, since it uses less digits than its factorization.

402144132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9412 (or 9410 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 402144132 is about 20053.5316590370. The cubic root of 402144132 is about 738.1204627061.

Adding to 402144132 its reverse (231441204), we get a palindrome (633585336).

The spelling of 402144132 in words is "four hundred two million, one hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 283 566 849 1132 1698 3396 3679 7358 9109 11037 14716 18218 22074 27327 36436 44148 54654 109308 118417 236834 355251 473668 710502 1421004 2577847 5155694 7733541 10311388 15467082 30934164 33512011 67024022 100536033 134048044 201072066 402144132