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14143081680 = 24335721319541
BaseRepresentation
bin11010010101111111…
…00100110011010000
31100111122200222202000
431022333210303100
5212431112103210
610255223154000
71010323132200
oct151277446320
940448628660
1014143081680
115aa8445662
1228a85a5900
131445157ab0
149824c0400
1557b997ac0
hex34afe4cd0

14143081680 has 960 divisors, whose sum is σ = 64358380800. Its totient is φ = 2821754880.

The previous prime is 14143081669. The next prime is 14143081681. The reversal of 14143081680 is 8618034141.

It is a happy number.

14143081680 is a `hidden beast` number, since 141 + 430 + 8 + 1 + 6 + 80 = 666.

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 (14143081681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26142210 + ... + 26142750.

It is an arithmetic number, because the mean of its divisors is an integer number (67039980).

Almost surely, 214143081680 is an apocalyptic number.

14143081680 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 14143081680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32179190400).

14143081680 is an abundant number, since it is smaller than the sum of its proper divisors (50215299120).

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

14143081680 is a wasteful number, since it uses less digits than its factorization.

14143081680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 14143081680 in words is "fourteen billion, one hundred forty-three million, eighty-one thousand, six hundred eighty".