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14157205920 = 2534511137639
BaseRepresentation
bin11010010111101010…
…11101000110100000
31100112122021120120000
431023311131012200
5212443221042140
610300450020000
71010554156554
oct151365350640
940478246500
1014157205920
116005412390
1228b1277600
131448061930
14984319864
1557cd37a30
hex34bd5d1a0

14157205920 has 480 divisors, whose sum is σ = 58705637760. Its totient is φ = 3167631360.

The previous prime is 14157205901. The next prime is 14157205963. The reversal of 14157205920 is 2950275141.

14157205920 is a `hidden beast` number, since 1 + 41 + 5 + 7 + 20 + 592 + 0 = 666.

14157205920 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 (480).

It is a super-2 number, since 2×141572059202 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1849461 + ... + 1857099.

It is an arithmetic number, because the mean of its divisors is an integer number (122303412).

Almost surely, 214157205920 is an apocalyptic number.

14157205920 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 14157205920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29352818880).

14157205920 is an abundant number, since it is smaller than the sum of its proper divisors (44548431840).

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

14157205920 is a wasteful number, since it uses less digits than its factorization.

14157205920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7690 (or 7673 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 14157205920 in words is "fourteen billion, one hundred fifty-seven million, two hundred five thousand, nine hundred twenty".