34016200141 has 24 divisors (see below), whose sum is σ = 43537398912. Its totient is φ = 26005980000.

The previous prime is 34016200139. The next prime is 34016200147. The reversal of 34016200141 is 14100261043.

It is not a de Polignac number, because 34016200141 - 2¹ = 34016200139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34016200147) 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 23 ways as a sum of consecutive naturals, for example, 333985 + ... + 423766.

It is an arithmetic number, because the mean of its divisors is an integer number (1814058288).

Almost surely, 2^34016200141 is an apocalyptic number.

It is an amenable number.

34016200141 is a deficient number, since it is larger than the sum of its proper divisors (9521198771).

34016200141 is a wasteful number, since it uses less digits than its factorization.

34016200141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757833 (or 757822 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 34016200141 its reverse (14100261043), we get a palindrome (48116461184).

The spelling of 34016200141 in words is "thirty-four billion, sixteen million, two hundred thousand, one hundred forty-one".