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14243613696 = 2103313231723
BaseRepresentation
bin11010100001111110…
…00100110000000000
31100202122212112202000
431100333010300000
5213132331114241
610313214024000
71012653501354
oct152077046000
940678775660
1014243613696
11604a16a874
1229161a8000
13145cc267b0
149919ad464
15585704eb6
hex350fc4c00

14243613696 has 352 divisors, whose sum is σ = 47430136320. Its totient is φ = 4189667328.

The previous prime is 14243613677. The next prime is 14243613731. The reversal of 14243613696 is 69631634241.

14243613696 is a `hidden beast` number, since 1 + 4 + 24 + 3 + 613 + 6 + 9 + 6 = 666.

It is a super-2 number, since 2×142436136962 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8265891 + ... + 8267613.

Almost surely, 214243613696 is an apocalyptic number.

14243613696 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 14243613696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23715068160).

14243613696 is an abundant number, since it is smaller than the sum of its proper divisors (33186522624).

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

14243613696 is a wasteful number, since it uses less digits than its factorization.

14243613696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 1764 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The spelling of 14243613696 in words is "fourteen billion, two hundred forty-three million, six hundred thirteen thousand, six hundred ninety-six".