34104211240143 has 32 divisors (see below), whose sum is σ = 49768635071232. Its totient is φ = 20601558348800.

The previous prime is 34104211240129. The next prime is 34104211240157.

It is a happy number.

34104211240143 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (34104211240129) and next prime (34104211240157).

It is not a de Polignac number, because 34104211240143 - 2⁵ = 34104211240111 is a prime.

It is a super-2 number, since 2×34104211240143² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34104211240143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34104211240243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25762573 + ... + 27053993.

It is an arithmetic number, because the mean of its divisors is an integer number (1555269845976).

Almost surely, 2^{34104211240143} is an apocalyptic number.

34104211240143 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34104211240143 is a deficient number, since it is larger than the sum of its proper divisors (15664423831089).

34104211240143 is a wasteful number, since it uses less digits than its factorization.

34104211240143 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294055.

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 3410421 and 1240143, that added together give a palindrome (4650564).

The spelling of 34104211240143 in words is "thirty-four trillion, one hundred four billion, two hundred eleven million, two hundred forty thousand, one hundred forty-three".