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12414192804 = 22321383319591
BaseRepresentation
bin10111000111111000…
…11000110010100100
31012001011111100001200
423203330120302210
5200411013132204
65411503122500
7616430616636
oct134374306244
935034440050
1012414192804
1152a0540882
1224a55a3430
13122ac05220
1485aa38a56
154c9cd9539
hex2e3f18ca4

12414192804 has 72 divisors (see below), whose sum is σ = 34201457472. Its totient is φ = 3773718720.

The previous prime is 12414192803. The next prime is 12414192827. The reversal of 12414192804 is 40829141421.

12414192804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×124141928042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12414192803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120952 + ... + 198639.

Almost surely, 212414192804 is an apocalyptic number.

It is an amenable number.

12414192804 is an abundant number, since it is smaller than the sum of its proper divisors (21787264668).

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

12414192804 is a wasteful number, since it uses less digits than its factorization.

12414192804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319697 (or 319692 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 12414192804 in words is "twelve billion, four hundred fourteen million, one hundred ninety-two thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 83 117 156 166 234 249 332 468 498 747 996 1079 1494 2158 2988 3237 4316 6474 9711 12948 19422 38844 319591 639182 958773 1278364 1917546 2876319 3835092 4154683 5752638 8309366 11505276 12464049 16618732 24928098 26526053 37392147 49856196 53052106 74784294 79578159 106104212 149568588 159156318 238734477 318312636 344838689 477468954 689677378 954937908 1034516067 1379354756 2069032134 3103548201 4138064268 6207096402 12414192804