34143300334143 has 48 divisors (see below), whose sum is σ = 66217309756416. Its totient is φ = 16372411744320.

The previous prime is 34143300334111. The next prime is 34143300334183.

34143300334143 is a `hidden beast` number, since 3 + 4 + 1 + 4 + 3 + 300 + 3 + 341 + 4 + 3 = 666.

34143300334143 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34143300334143 - 2⁵ = 34143300334111 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34143300334098 and 34143300334107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34143300334183) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1894946055 + ... + 1894964072.

It is an arithmetic number, because the mean of its divisors is an integer number (1379527286592).

Almost surely, 2^{34143300334143} is an apocalyptic number.

34143300334143 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34143300334143 is a deficient number, since it is larger than the sum of its proper divisors (32074009422273).

34143300334143 is a wasteful number, since it uses less digits than its factorization.

34143300334143 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3789910164 (or 3789910161 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

It can be divided in two parts, 34143300 and 334143, that added together give a palindrome (34477443).

The spelling of 34143300334143 in words is "thirty-four trillion, one hundred forty-three billion, three hundred million, three hundred thirty-four thousand, one hundred forty-three".