14301505140 has 144 divisors (see below), whose sum is σ = 43435945728. Its totient is φ = 3495115008.

The previous prime is 14301505139. The next prime is 14301505147. The reversal of 14301505140 is 4150510341.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 14301505140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14301505147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30888549 + ... + 30889011.

It is an arithmetic number, because the mean of its divisors is an integer number (301638512).

Almost surely, 2^14301505140 is an apocalyptic number.

14301505140 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 14301505140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21717972864).

14301505140 is an abundant number, since it is smaller than the sum of its proper divisors (29134440588).

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

14301505140 is a wasteful number, since it uses less digits than its factorization.

14301505140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 14301505140 in words is "fourteen billion, three hundred one million, five hundred five thousand, one hundred forty".