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14082799104 = 293311372503
BaseRepresentation
bin11010001110110011…
…00111011000000000
31100100110021022121000
431013121213120000
5212320144032404
610245231132000
71005661550223
oct150731473000
940313238530
1014082799104
115a77411450
122890374000
13143580c32a
149784ab5ba
1557653b339
hex347667600

14082799104 has 320 divisors, whose sum is σ = 46723438080. Its totient is φ = 4150517760.

The previous prime is 14082799079. The next prime is 14082799111. The reversal of 14082799104 is 40199728041.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 14082799104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5625117 + ... + 5627619.

It is an arithmetic number, because the mean of its divisors is an integer number (146010744).

Almost surely, 214082799104 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 14082799104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23361719040).

14082799104 is an abundant number, since it is smaller than the sum of its proper divisors (32640638976).

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

14082799104 is a wasteful number, since it uses less digits than its factorization.

14082799104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 14082799104 in words is "fourteen billion, eighty-two million, seven hundred ninety-nine thousand, one hundred four".