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12404351304 = 23321409122273
BaseRepresentation
bin10111000110101101…
…10110000101001000
31012000110222100001200
423203112312011020
5200401003220204
65410512144200
7616251150342
oct134326660510
935013870050
1012404351304
115295a29804
1224a2238060
131228b6a857
148595d6292
154c8ee3539
hex2e35b6148

12404351304 has 48 divisors (see below), whose sum is σ = 33619236300. Its totient is φ = 4131815424.

The previous prime is 12404351303. The next prime is 12404351321. The reversal of 12404351304 is 40315340421.

It is a happy number.

12404351304 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 4 + 351 + 304 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12165648804 + 238702500 = 110298^2 + 15450^2 .

It is not an unprimeable number, because it can be changed into a prime (12404351303) 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, 40312 + ... + 162584.

Almost surely, 212404351304 is an apocalyptic number.

It is an amenable number.

12404351304 is an abundant number, since it is smaller than the sum of its proper divisors (21214884996).

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

12404351304 is a wasteful number, since it uses less digits than its factorization.

12404351304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123694 (or 123687 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 12404351304 its reverse (40315340421), we get a palindrome (52719691725).

The spelling of 12404351304 in words is "twelve billion, four hundred four million, three hundred fifty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1409 2818 4227 5636 8454 11272 12681 16908 25362 33816 50724 101448 122273 244546 366819 489092 733638 978184 1100457 1467276 2200914 2934552 4401828 8803656 172282657 344565314 516847971 689130628 1033695942 1378261256 1550543913 2067391884 3101087826 4134783768 6202175652 12404351304