3140640144 has 120 divisors (see below), whose sum is σ = 9242321400. Its totient is φ = 994129920.

The previous prime is 3140640137. The next prime is 3140640161. The reversal of 3140640144 is 4410460413.

3140640144 is a `hidden beast` number, since 3 + 1 + 4 + 0 + 640 + 14 + 4 = 666.

3140640144 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 224640144 + 2916000000 = 14988^2 + 54000^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248572 + ... + 260900.

It is an arithmetic number, because the mean of its divisors is an integer number (77019345).

Almost surely, 2^3140640144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3140640144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4621160700).

3140640144 is an abundant number, since it is smaller than the sum of its proper divisors (6101681256).

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

3140640144 is a wasteful number, since it uses less digits than its factorization.

3140640144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12433 (or 12424 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3140640144 is about 56041.4145431751. The cubic root of 3140640144 is about 1464.4438544899.

The spelling of 3140640144 in words is "three billion, one hundred forty million, six hundred forty thousand, one hundred forty-four".