34140422404143 has 24 divisors (see below), whose sum is σ = 53802219116880. Its totient is φ = 20689168988160.

The previous prime is 34140422404117. The next prime is 34140422404169.

34140422404143 is a `hidden beast` number, since 3 + 4 + 1 + 404 + 2 + 240 + 4 + 1 + 4 + 3 = 666.

34140422404143 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (34140422404117) and next prime (34140422404169).

It is not a de Polignac number, because 34140422404143 - 2⁶ = 34140422404079 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34140422404098 and 34140422404107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34140422404103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15602496 + ... + 17655557.

It is an arithmetic number, because the mean of its divisors is an integer number (2241759129870).

Almost surely, 2^{34140422404143} is an apocalyptic number.

34140422404143 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34140422404143 is a deficient number, since it is larger than the sum of its proper divisors (19661796712737).

34140422404143 is a wasteful number, since it uses less digits than its factorization.

34140422404143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33268439 (or 33268436 counting only the distinct ones).

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

It can be divided in two parts, 3414042 and 2404143, that added together give a palindrome (5818185).

The spelling of 34140422404143 in words is "thirty-four trillion, one hundred forty billion, four hundred twenty-two million, four hundred four thousand, one hundred forty-three".