3141246144100 has 36 divisors (see below), whose sum is σ = 6816593061684. Its totient is φ = 1256482065280.

The previous prime is 3141246144083. The next prime is 3141246144139. The reversal of 3141246144100 is 14416421413.

3141246144100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 62681131044 + 3078565013056 = 250362^2 + 1754584^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10053834 + ... + 10361566.

It is an arithmetic number, because the mean of its divisors is an integer number (189349807269).

Almost surely, 2^{3141246144100} is an apocalyptic number.

It is an amenable number.

3141246144100 is an abundant number, since it is smaller than the sum of its proper divisors (3675346917584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3141246144100 is a wasteful number, since it uses less digits than its factorization.

3141246144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409824 (or 409817 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 3141246144100 in words is "three trillion, one hundred forty-one billion, two hundred forty-six million, one hundred forty-four thousand, one hundred".