1442313300 has 72 divisors (see below), whose sum is σ = 4180142176. Its totient is φ = 383967360.

The previous prime is 1442313287. The next prime is 1442313311. The reversal of 1442313300 is 33132441.

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 23 ways as a sum of consecutive naturals, for example, 189162 + ... + 196638.

Almost surely, 2^1442313300 is an apocalyptic number.

1442313300 is a gapful number since it is divisible by the number (10) 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 1442313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090071088).

1442313300 is an abundant number, since it is smaller than the sum of its proper divisors (2737828876).

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

1442313300 is a wasteful number, since it uses less digits than its factorization.

1442313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8137 (or 8130 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1442313300 is about 37977.8000942656. The cubic root of 1442313300 is about 1129.8476052089.

Adding to 1442313300 its reverse (33132441), we get a palindrome (1475445741).

The spelling of 1442313300 in words is "one billion, four hundred forty-two million, three hundred thirteen thousand, three hundred".