34142833824143 has 8 divisors (see below), whose sum is σ = 37441736856576. Its totient is φ = 30876432299800.

The previous prime is 34142833824053. The next prime is 34142833824167.

34142833824143 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34142833824143 - 2²⁰ = 34142832775567 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34142833824091 and 34142833824100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34142833824173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8125374821 + ... + 8125379022.

It is an arithmetic number, because the mean of its divisors is an integer number (4680217107072).

Almost surely, 2^{34142833824143} is an apocalyptic number.

34142833824143 is a deficient number, since it is larger than the sum of its proper divisors (3298903032433).

34142833824143 is a wasteful number, since it uses less digits than its factorization.

34142833824143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16250754045.

The product of its digits is 5308416, while the sum is 50.

The spelling of 34142833824143 in words is "thirty-four trillion, one hundred forty-two billion, eight hundred thirty-three million, eight hundred twenty-four thousand, one hundred forty-three".