34224133142243 has 8 divisors (see below), whose sum is σ = 37785242287296. Its totient is φ = 30737994716200.

The previous prime is 34224133142237. The next prime is 34224133142273.

34224133142243 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 a de Polignac number, because none of the positive numbers 2^k-34224133142243 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34224133142197 and 34224133142206.

It is not an unprimeable number, because it can be changed into a prime (34224133142233) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18742678793 + ... + 18742680618.

It is an arithmetic number, because the mean of its divisors is an integer number (4723155285912).

Almost surely, 2^{34224133142243} is an apocalyptic number.

34224133142243 is a deficient number, since it is larger than the sum of its proper divisors (3561109145053).

34224133142243 is a wasteful number, since it uses less digits than its factorization.

34224133142243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37485359505.

The product of its digits is 331776, while the sum is 38.

It can be divided in two parts, 3422413 and 3142243, that added together give a palindrome (6564656).

The spelling of 34224133142243 in words is "thirty-four trillion, two hundred twenty-four billion, one hundred thirty-three million, one hundred forty-two thousand, two hundred forty-three".