281442144 has 48 divisors (see below), whose sum is σ = 745984512. Its totient is φ = 92899968.

The previous prime is 281442107. The next prime is 281442151. The reversal of 281442144 is 441244182.

It is a tau number, because it is divible by the number of its divisors (48).

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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4344 + ... + 24119.

It is an arithmetic number, because the mean of its divisors is an integer number (15541344).

Almost surely, 2^281442144 is an apocalyptic number.

281442144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

281442144 is an abundant number, since it is smaller than the sum of its proper divisors (464542368).

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

281442144 is a wasteful number, since it uses less digits than its factorization.

281442144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28579 (or 28571 counting only the distinct ones).

The product of its digits is 8192, while the sum is 30.

The square root of 281442144 is about 16776.2374804364. The cubic root of 281442144 is about 655.3345174720.

The spelling of 281442144 in words is "two hundred eighty-one million, four hundred forty-two thousand, one hundred forty-four".