30214144000 has 120 divisors (see below), whose sum is σ = 75417313608. Its totient is φ = 12084838400.

The previous prime is 30214143997. The next prime is 30214144003. The reversal of 30214144000 is 44141203.

It is an interprime number because it is at equal distance from previous prime (30214143997) and next prime (30214144003).

It can be written as a sum of positive squares in 4 ways, for example, as 1406550016 + 28807593984 = 37504^2 + 169728^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30214144003) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2040624 + ... + 2055376.

Almost surely, 2^30214144000 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 30214144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37708656804).

30214144000 is an abundant number, since it is smaller than the sum of its proper divisors (45203169608).

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

30214144000 is an frugal number, since it uses more digits than its factorization.

30214144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14796 (or 14760 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 30214144000 its reverse (44141203), we get a palindrome (30258285203).

The spelling of 30214144000 in words is "thirty billion, two hundred fourteen million, one hundred forty-four thousand".