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14003087616 = 28327978951
BaseRepresentation
bin11010000101010011…
…00010100100000000
31100010220021112222200
431002221202210000
5212134242300431
610233302433200
71004003165220
oct150251424400
940126245880
1014003087616
115a36417a91
122869732800
13142215037b
1496ba7c080
1556e542ee6
hex342a62900

14003087616 has 216 divisors, whose sum is σ = 46623018624. Its totient is φ = 3959193600.

The previous prime is 14003087603. The next prime is 14003087701. The reversal of 14003087616 is 61678030041.

14003087616 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 30 + 8 + 7 + 616 = 666.

It is a super-4 number, since 4×140030876164 (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1559941 + ... + 1568891.

Almost surely, 214003087616 is an apocalyptic number.

14003087616 is a gapful number since it is divisible by the number (16) 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 14003087616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23311509312).

14003087616 is an abundant number, since it is smaller than the sum of its proper divisors (32619931008).

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

14003087616 is an equidigital number, since it uses as much as digits as its factorization.

14003087616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9077 (or 9060 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 14003087616 in words is "fourteen billion, three million, eighty-seven thousand, six hundred sixteen".