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14046317568 = 21035192971
BaseRepresentation
bin11010001010011100…
…11100110000000000
31100020220121212100000
431011032130300000
5212231324130233
610241445200000
71005036505113
oct150516346000
940226555300
1014046317568
115a58864318
122880100000
13142b0a811a
149736d257a
15573231d13
hex34539cc00

14046317568 has 264 divisors, whose sum is σ = 44289219520. Its totient is φ = 4434186240.

The previous prime is 14046317539. The next prime is 14046317581. The reversal of 14046317568 is 86571364041.

14046317568 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 631 + 7 + 5 + 6 + 8 = 666.

It is a super-2 number, since 2×140463175682 (a number of 21 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 4726323 + ... + 4729293.

Almost surely, 214046317568 is an apocalyptic number.

14046317568 is a gapful number since it is divisible by the number (18) 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 14046317568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22144609760).

14046317568 is an abundant number, since it is smaller than the sum of its proper divisors (30242901952).

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

14046317568 is an equidigital number, since it uses as much as digits as its factorization.

14046317568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3025 (or 2995 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 14046317568 in words is "fourteen billion, forty-six million, three hundred seventeen thousand, five hundred sixty-eight".