13142029950 has 384 divisors, whose sum is σ = 43208663040. Its totient is φ = 2874009600.

The previous prime is 13142029931. The next prime is 13142029969. The reversal of 13142029950 is 5992024131.

13142029950 is a `hidden beast` number, since 1 + 314 + 2 + 0 + 299 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (13142029931) and next prime (13142029969).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33103152 + ... + 33103548.

It is an arithmetic number, because the mean of its divisors is an integer number (112522560).

Almost surely, 2^13142029950 is an apocalyptic number.

13142029950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13142029950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21604331520).

13142029950 is an abundant number, since it is smaller than the sum of its proper divisors (30066633090).

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

13142029950 is a wasteful number, since it uses less digits than its factorization.

13142029950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 13142029950 in words is "thirteen billion, one hundred forty-two million, twenty-nine thousand, nine hundred fifty".