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14039663904 = 2534731109229
BaseRepresentation
bin11010001001101010…
…00100010100100000
31100020110002211020000
431010311010110200
5212223123221104
610241050420000
71004626113510
oct150465042440
940213084200
1014039663904
115a5502a322
122879a31600
1314298b8746
1497287d840
1557286a639
hex344d44520

14039663904 has 480 divisors, whose sum is σ = 49372646400. Its totient is φ = 3829524480.

The previous prime is 14039663881. The next prime is 14039663921. The reversal of 14039663904 is 40936693041.

14039663904 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 9 + 6 + 639 + 0 + 4 = 666.

It is a super-2 number, since 2×140396639042 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14039663904.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 61308462 + ... + 61308690.

It is an arithmetic number, because the mean of its divisors is an integer number (102859680).

Almost surely, 214039663904 is an apocalyptic number.

14039663904 is a gapful number since it is divisible by the number (14) 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 14039663904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24686323200).

14039663904 is an abundant number, since it is smaller than the sum of its proper divisors (35332982496).

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

14039663904 is a wasteful number, since it uses less digits than its factorization.

14039663904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 14039663904 in words is "fourteen billion, thirty-nine million, six hundred sixty-three thousand, nine hundred four".