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14008868112 = 2431931149391
BaseRepresentation
bin11010000101111111…
…00101110100010000
31100011022011020100010
431002333211310100
5212142232234422
610234030354520
71004103262041
oct150277456420
940138136303
1014008868112
115a39705a58
12286b65ba40
1314233c5495
1496c7448c8
1556ecd5b0c
hex342fe5d10

14008868112 has 80 divisors (see below), whose sum is σ = 38217553920. Its totient is φ = 4409539200.

The previous prime is 14008868077. The next prime is 14008868123. The reversal of 14008868112 is 21186880041.

14008868112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 258937 + ... + 308327.

It is an arithmetic number, because the mean of its divisors is an integer number (477719424).

Almost surely, 214008868112 is an apocalyptic number.

14008868112 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 14008868112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19108776960).

14008868112 is an abundant number, since it is smaller than the sum of its proper divisors (24208685808).

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

14008868112 is a wasteful number, since it uses less digits than its factorization.

14008868112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49732 (or 49726 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 39.

The spelling of 14008868112 in words is "fourteen billion, eight million, eight hundred sixty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 311 456 622 912 933 1244 1866 2488 3732 4976 5909 7464 11818 14928 17727 23636 35454 47272 49391 70908 94544 98782 141816 148173 197564 283632 296346 395128 592692 790256 938429 1185384 1876858 2370768 2815287 3753716 5630574 7507432 11261148 15014864 15360601 22522296 30721202 45044592 46081803 61442404 92163606 122884808 184327212 245769616 291851419 368654424 583702838 737308848 875554257 1167405676 1751108514 2334811352 3502217028 4669622704 7004434056 14008868112