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14249419992 = 2333173880561
BaseRepresentation
bin11010100010101010…
…01110010011011000
31100210001210112111000
431101111032103120
5213140322414432
610313542305000
71013054033343
oct152125162330
940701715430
1014249419992
116052476165
122918128160
1314611aa582
1499268145a
15585ea057c
hex35154e4d8

14249419992 has 64 divisors (see below), whose sum is σ = 41910069600. Its totient is φ = 4470405120.

The previous prime is 14249419991. The next prime is 14249419999. The reversal of 14249419992 is 29991494241.

14249419992 is a `hidden beast` number, since 1 + 424 + 9 + 41 + 99 + 92 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14249419991) 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, 1936609 + ... + 1943952.

Almost surely, 214249419992 is an apocalyptic number.

14249419992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14249419992 is an abundant number, since it is smaller than the sum of its proper divisors (27660649608).

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

14249419992 is a wasteful number, since it uses less digits than its factorization.

14249419992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3880593 (or 3880583 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The spelling of 14249419992 in words is "fourteen billion, two hundred forty-nine million, four hundred nineteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3672 3880561 7761122 11641683 15522244 23283366 31044488 34925049 46566732 65969537 69850098 93133464 104775147 131939074 139700196 197908611 209550294 263878148 279400392 395817222 419100588 527756296 593725833 791634444 838201176 1187451666 1583268888 1781177499 2374903332 3562354998 4749806664 7124709996 14249419992