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14203900832 = 2511194773619
BaseRepresentation
bin11010011101001111…
…00101001110100000
31100122220010220221012
431032213211032200
5213042144311312
610305234520052
71011662110412
oct151647451640
940586126835
1014203900832
116029805a20
122904a36028
131454930864
1498a5d29b2
15581ead322
hex34e9e53a0

14203900832 has 192 divisors, whose sum is σ = 33297868800. Its totient is φ = 5894830080.

The previous prime is 14203900831. The next prime is 14203900871. The reversal of 14203900832 is 23800930241.

It is a happy number.

14203900832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (14203900831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22946219 + ... + 22946837.

It is an arithmetic number, because the mean of its divisors is an integer number (173426400).

Almost surely, 214203900832 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 14203900832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16648934400).

14203900832 is an abundant number, since it is smaller than the sum of its proper divisors (19093967968).

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

14203900832 is a wasteful number, since it uses less digits than its factorization.

14203900832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 14203900832 in words is "fourteen billion, two hundred three million, nine hundred thousand, eight hundred thirty-two".