34144733744143 has 24 divisors (see below), whose sum is σ = 38936408616000. Its totient is φ = 29884423356480.

The previous prime is 34144733744059. The next prime is 34144733744189.

34144733744143 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-34144733744143 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34144733747143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12716071 + ... + 15165352.

It is an arithmetic number, because the mean of its divisors is an integer number (1622350359000).

Almost surely, 2^{34144733744143} is an apocalyptic number.

34144733744143 is a deficient number, since it is larger than the sum of its proper divisors (4791674871857).

34144733744143 is a wasteful number, since it uses less digits than its factorization.

34144733744143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27881823 (or 27881812 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 52.

The spelling of 34144733744143 in words is "thirty-four trillion, one hundred forty-four billion, seven hundred thirty-three million, seven hundred forty-four thousand, one hundred forty-three".