34124222242143 has 24 divisors (see below), whose sum is σ = 53783328134016. Its totient is φ = 20676798190800.

The previous prime is 34124222242139. The next prime is 34124222242169.

34124222242143 is a `hidden beast` number, since 3 + 4 + 1 + 2 + 4 + 2 + 222 + 421 + 4 + 3 = 666.

34124222242143 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34124222242143 - 2² = 34124222242139 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34124222242098 and 34124222242107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34124222242043) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 37452763 + ... + 38353068.

It is an arithmetic number, because the mean of its divisors is an integer number (2240972005584).

Almost surely, 2^{34124222242143} is an apocalyptic number.

34124222242143 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34124222242143 is a deficient number, since it is larger than the sum of its proper divisors (19659105891873).

34124222242143 is a wasteful number, since it uses less digits than its factorization.

34124222242143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75810395 (or 75810392 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 3412422 and 2242143, that added together give a palindrome (5654565).

The spelling of 34124222242143 in words is "thirty-four trillion, one hundred twenty-four billion, two hundred twenty-two million, two hundred forty-two thousand, one hundred forty-three".