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14185742472 = 233211113158507
BaseRepresentation
bin11010011011000100…
…10100000010001000
31100121121222101100100
431031202110002020
5213023022224342
610303345405400
71011351551526
oct151542240210
940547871310
1014185742472
11601a533310
1228ba939860
131450c43775
14988027316
155805c2e4c
hex34d894088

14185742472 has 96 divisors (see below), whose sum is σ = 42283594080. Its totient is φ = 4260641280.

The previous prime is 14185742381. The next prime is 14185742489. The reversal of 14185742472 is 27424758141.

14185742472 is a `hidden beast` number, since 1 + 4 + 1 + 8 + 574 + 2 + 4 + 72 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10243 + ... + 168749.

It is an arithmetic number, because the mean of its divisors is an integer number (440454105).

Almost surely, 214185742472 is an apocalyptic number.

14185742472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14185742472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21141797040).

14185742472 is an abundant number, since it is smaller than the sum of its proper divisors (28097851608).

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

14185742472 is a wasteful number, since it uses less digits than its factorization.

14185742472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158643 (or 158636 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

It can be divided in two parts, 14185 and 742472, that added together give a palindrome (756657).

The spelling of 14185742472 in words is "fourteen billion, one hundred eighty-five million, seven hundred forty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 113 132 198 226 264 339 396 452 678 792 904 1017 1243 1356 2034 2486 2712 3729 4068 4972 7458 8136 9944 11187 14916 22374 29832 44748 89496 158507 317014 475521 634028 951042 1268056 1426563 1743577 1902084 2853126 3487154 3804168 5230731 5706252 6974308 10461462 11412504 13948616 15692193 17911291 20922924 31384386 35822582 41845848 53733873 62768772 71645164 107467746 125537544 143290328 161201619 197024201 214935492 322403238 394048402 429870984 591072603 644806476 788096804 1182145206 1289612952 1576193608 1773217809 2364290412 3546435618 4728580824 7092871236 14185742472