3144131142000 has 320 divisors, whose sum is σ = 10608947841024. Its totient is φ = 799589683200.

The previous prime is 3144131141939. The next prime is 3144131142011. The reversal of 3144131142000 is 2411314413.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46472197 + ... + 46539803.

Almost surely, 2^{3144131142000} is an apocalyptic number.

3144131142000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3144131142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5304473920512).

3144131142000 is an abundant number, since it is smaller than the sum of its proper divisors (7464816699024).

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

3144131142000 is a wasteful number, since it uses less digits than its factorization.

3144131142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67993 (or 67977 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 3144131142000 its reverse (2411314413), we get a palindrome (3146542456413).

The spelling of 3144131142000 in words is "three trillion, one hundred forty-four billion, one hundred thirty-one million, one hundred forty-two thousand".