34014141150 has 96 divisors (see below), whose sum is σ = 92071178496. Its totient is φ = 8241600000.

The previous prime is 34014141149. The next prime is 34014141173. The reversal of 34014141150 is 5114141043.

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 34014141150.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4205110 + ... + 4213190.

It is an arithmetic number, because the mean of its divisors is an integer number (959074776).

Almost surely, 2^34014141150 is an apocalyptic number.

34014141150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34014141150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46035589248).

34014141150 is an abundant number, since it is smaller than the sum of its proper divisors (58057037346).

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

34014141150 is a wasteful number, since it uses less digits than its factorization.

34014141150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10658 (or 10653 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 34014141150 its reverse (5114141043), we get a palindrome (39128282193).

The spelling of 34014141150 in words is "thirty-four billion, fourteen million, one hundred forty-one thousand, one hundred fifty".