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14034760704 = 210331926717
BaseRepresentation
bin11010001001000100…
…10111010000000000
31100020002212201022000
431010202113100000
5212220344320304
610240353344000
71004536332456
oct150442272000
940202781260
1014034760704
115a52290498
122878268000
13142888ca43
14971d649d6
155721ec939
hex344897400

14034760704 has 176 divisors, whose sum is σ = 43753396800. Its totient is φ = 4431863808.

The previous prime is 14034760687. The next prime is 14034760741. The reversal of 14034760704 is 40706743041.

It is a happy number.

14034760704 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 47 + 607 + 0 + 4 = 666.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 511954 + ... + 538670.

Almost surely, 214034760704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14034760704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21876698400).

14034760704 is an abundant number, since it is smaller than the sum of its proper divisors (29718636096).

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

14034760704 is a wasteful number, since it uses less digits than its factorization.

14034760704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26765 (or 26741 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 14034760704 in words is "fourteen billion, thirty-four million, seven hundred sixty thousand, seven hundred four".