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14232968640 = 263251134779
BaseRepresentation
bin11010100000101100…
…11101110111000000
31100201220211201110200
431100112131313000
5213122114444030
610312153525200
71012464144252
oct152026356700
940656751420
1014232968640
11604415a000
122912713800
13145a96a447
149903dbcd2
15584800d60
hex35059ddc0

14232968640 has 672 divisors, whose sum is σ = 55689154560. Its totient is φ = 3334256640.

The previous prime is 14232968623. The next prime is 14232968641. The reversal of 14232968640 is 4686923241.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14232968641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 180164121 + ... + 180164199.

Almost surely, 214232968640 is an apocalyptic number.

14232968640 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 14232968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27844577280).

14232968640 is an abundant number, since it is smaller than the sum of its proper divisors (41456185920).

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

14232968640 is a wasteful number, since it uses less digits than its factorization.

14232968640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 14232968640 in words is "fourteen billion, two hundred thirty-two million, nine hundred sixty-eight thousand, six hundred forty".