3114240207841 has 81 divisors (see below), whose sum is σ = 3860650503801. Its totient is φ = 2504604985344.

The previous prime is 3114240207839. The next prime is 3114240207851. The reversal of 3114240207841 is 1487020424113.

The square root of 3114240207841 is 1764721.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1302631886241 + 1811608321600 = 1141329^2 + 1345960^2 .

It is not a de Polignac number, because 3114240207841 - 2¹ = 3114240207839 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3114240207841.

It is not an unprimeable number, because it can be changed into a prime (3114240207851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 27559647801 + ... + 27559647913.

Almost surely, 2^{3114240207841} is an apocalyptic number.

3114240207841 is the 1764721-st square number.

3114240207841 is the 882361-st centered octagonal number.

It is an amenable number.

3114240207841 is a deficient number, since it is larger than the sum of its proper divisors (746410295960).

3114240207841 is an frugal number, since it uses more digits than its factorization.

3114240207841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The spelling of 3114240207841 in words is "three trillion, one hundred fourteen billion, two hundred forty million, two hundred seven thousand, eight hundred forty-one".