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14936663040 = 21035131931127
BaseRepresentation
bin11011110100100101…
…10110010000000000
31102112221222002201020
431322102312100000
5221042241204130
610510052305440
71036100353365
oct157222662000
942487862636
1014936663040
1163753a2022
122a8a312280
1315406a1270
14a19a5846c
155c64a2e10
hex37a4b6400

14936663040 has 704 divisors, whose sum is σ = 56343920640. Its totient is φ = 3344302080.

The previous prime is 14936663039. The next prime is 14936663047. The reversal of 14936663040 is 4036663941.

It is a junction number, because it is equal to n+sod(n) for n = 14936662983 and 14936663001.

It is not an unprimeable number, because it can be changed into a prime (14936663047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117611457 + ... + 117611583.

Almost surely, 214936663040 is an apocalyptic number.

14936663040 is a gapful number since it is divisible by the number (10) 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 14936663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28171960320).

14936663040 is an abundant number, since it is smaller than the sum of its proper divisors (41407257600).

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

14936663040 is a wasteful number, since it uses less digits than its factorization.

14936663040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The spelling of 14936663040 in words is "fourteen billion, nine hundred thirty-six million, six hundred sixty-three thousand, forty".