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14140814016 = 263710521439
BaseRepresentation
bin11010010101101101…
…11011001011000000
31100111111102210002110
431022312323023000
5212430022022031
610255102415320
71010264636010
oct151266731300
940444383073
1014140814016
115aa713695a
1228a7891540
131444842894
1498208dc40
1557b69ac46
hex34adbb2c0

14140814016 has 56 divisors (see below), whose sum is σ = 42759132160. Its totient is φ = 4040232192.

The previous prime is 14140813993. The next prime is 14140814029. The reversal of 14140814016 is 61041804141.

14140814016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

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 7 ways as a sum of consecutive naturals, for example, 5259376 + ... + 5262063.

Almost surely, 214140814016 is an apocalyptic number.

14140814016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14140814016 is an abundant number, since it is smaller than the sum of its proper divisors (28618318144).

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

14140814016 is a wasteful number, since it uses less digits than its factorization.

14140814016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10521461 (or 10521451 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The spelling of 14140814016 in words is "fourteen billion, one hundred forty million, eight hundred fourteen thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 10521439 21042878 31564317 42085756 63128634 73650073 84171512 126257268 147300146 168343024 220950219 252514536 294600292 336686048 441900438 505029072 589200584 673372096 883800876 1010058144 1178401168 1767601752 2020116288 2356802336 3535203504 4713604672 7070407008 14140814016