34312001144141 has 12 divisors (see below), whose sum is σ = 39914055975420. Its totient is φ = 29410216355520.

The previous prime is 34312001144089. The next prime is 34312001144147. The reversal of 34312001144141 is 14144110021343.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 15106825562500 + 19205175581641 = 3886750^2 + 4382371^2 .

It is not a de Polignac number, because 34312001144141 - 2³⁴ = 34294821274957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34312001144147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39085415 + ... + 39953643.

It is an arithmetic number, because the mean of its divisors is an integer number (3326171331285).

Almost surely, 2^{34312001144141} is an apocalyptic number.

It is an amenable number.

34312001144141 is a deficient number, since it is larger than the sum of its proper divisors (5602054831279).

34312001144141 is an equidigital number, since it uses as much as digits as its factorization.

34312001144141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674764 (or 1674757 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 34312001144141 its reverse (14144110021343), we get a palindrome (48456111165484).

The spelling of 34312001144141 in words is "thirty-four trillion, three hundred twelve billion, one million, one hundred forty-four thousand, one hundred forty-one".