34141233214143 has 72 divisors (see below), whose sum is σ = 55540979741520. Its totient is φ = 20182250246400.

The previous prime is 34141233214141. The next prime is 34141233214157.

34141233214143 is a `hidden beast` number, since 3 + 4 + 1 + 4 + 1 + 233 + 2 + 1 + 414 + 3 = 666.

34141233214143 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34141233214143 - 2¹ = 34141233214141 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34141233214098 and 34141233214107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34141233214141) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 195162648 + ... + 195337506.

It is an arithmetic number, because the mean of its divisors is an integer number (771402496410).

Almost surely, 2^{34141233214143} is an apocalyptic number.

34141233214143 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34141233214143 is a deficient number, since it is larger than the sum of its proper divisors (21399746527377).

34141233214143 is a wasteful number, since it uses less digits than its factorization.

34141233214143 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179301 (or 179287 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 3414123 and 3214143, that added together give a palindrome (6628266).

The spelling of 34141233214143 in words is "thirty-four trillion, one hundred forty-one billion, two hundred thirty-three million, two hundred fourteen thousand, one hundred forty-three".