34224120142144 has 112 divisors (see below), whose sum is σ = 68319290295360. Its totient is φ = 17010208051200.

The previous prime is 34224120142123. The next prime is 34224120142193. The reversal of 34224120142144 is 44124102142243.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19002842044 + ... + 19002843844.

Almost surely, 2^{34224120142144} is an apocalyptic number.

It is an amenable number.

34224120142144 is a deficient number, since it is larger than the sum of its proper divisors (34095170153216).

34224120142144 is a wasteful number, since it uses less digits than its factorization.

34224120142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4368 (or 4358 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 34.

Adding to 34224120142144 its reverse (44124102142243), we get a palindrome (78348222284387).

The spelling of 34224120142144 in words is "thirty-four trillion, two hundred twenty-four billion, one hundred twenty million, one hundred forty-two thousand, one hundred forty-four".