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14243454720 = 283551123181
BaseRepresentation
bin11010100001111100…
…11101111100000000
31100202122120110200000
431100332131330000
5213132311022340
610313210400000
71012652240025
oct152076357400
940678513600
1014243454720
11604a071390
122916130000
13145cb9c321
1499196b54c
155856c2d30
hex350f9df00

14243454720 has 864 divisors, whose sum is σ = 58497513984. Its totient is φ = 3284582400.

The previous prime is 14243454707. The next prime is 14243454727. The reversal of 14243454720 is 2745434241.

14243454720 is a `hidden beast` number, since 142 + 4 + 3 + 45 + 472 + 0 = 666.

14243454720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14243454727) 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 95 ways as a sum of consecutive naturals, for example, 78693030 + ... + 78693210.

It is an arithmetic number, because the mean of its divisors is an integer number (67705456).

Almost surely, 214243454720 is an apocalyptic number.

14243454720 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 14243454720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29248756992).

14243454720 is an abundant number, since it is smaller than the sum of its proper divisors (44254059264).

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

14243454720 is a wasteful number, since it uses less digits than its factorization.

14243454720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

Adding to 14243454720 its reverse (2745434241), we get a palindrome (16988888961).

The spelling of 14243454720 in words is "fourteen billion, two hundred forty-three million, four hundred fifty-four thousand, seven hundred twenty".