383142144 has 432 divisors, whose sum is σ = 1391882240. Its totient is φ = 91238400.

The previous prime is 383142139. The next prime is 383142217. The reversal of 383142144 is 441241383.

It is a super-3 number, since 3×383142144³ (a number of 27 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12359409 + ... + 12359439.

Almost surely, 2^383142144 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 383142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695941120).

383142144 is an abundant number, since it is smaller than the sum of its proper divisors (1008740096).

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

383142144 is a wasteful number, since it uses less digits than its factorization.

383142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 73 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 383142144 is about 19574.0170634441. The cubic root of 383142144 is about 726.3065739199.

The spelling of 383142144 in words is "three hundred eighty-three million, one hundred forty-two thousand, one hundred forty-four".