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14192311872 = 263312384461
BaseRepresentation
bin11010011011110110…
…10111111001000000
31100122002100010212110
431031323113321000
5213031212434442
610304142255320
71011461442354
oct151573277100
940562303773
1014192311872
11602320aa72
122900b87540
13145240399b
14988c57464
15580e6e69c
hex34ded7e40

14192311872 has 56 divisors (see below), whose sum is σ = 38761814272. Its totient is φ = 4578163200.

The previous prime is 14192311871. The next prime is 14192311883. The reversal of 14192311872 is 27811329141.

It is a super-2 number, since 2×141923118722 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14192311872.

It is not an unprimeable number, because it can be changed into a prime (14192311871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1186279 + ... + 1198182.

Almost surely, 214192311872 is an apocalyptic number.

14192311872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14192311872 is an abundant number, since it is smaller than the sum of its proper divisors (24569502400).

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

14192311872 is a wasteful number, since it uses less digits than its factorization.

14192311872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384507 (or 2384497 counting only the distinct ones).

The product of its digits is 24192, while the sum is 39.

The spelling of 14192311872 in words is "fourteen billion, one hundred ninety-two million, three hundred eleven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 5952 2384461 4768922 7153383 9537844 14306766 19075688 28613532 38151376 57227064 73918291 76302752 114454128 147836582 152605504 221754873 228908256 295673164 443509746 457816512 591346328 887019492 1182692656 1774038984 2365385312 3548077968 4730770624 7096155936 14192311872