30937140000 has 900 divisors, whose sum is σ = 124203231306. Its totient is φ = 7547904000.

The previous prime is 30937139977. The next prime is 30937140007. The reversal of 30937140000 is 4173903.

It can be written as a sum of positive squares in 15 ways, for example, as 29971919376 + 965220624 = 173124^2 + 31068^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30937140007) by changing a digit.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 273779944 + ... + 273780056.

Almost surely, 2^30937140000 is an apocalyptic number.

30937140000 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 30937140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62101615653).

30937140000 is an abundant number, since it is smaller than the sum of its proper divisors (93266091306).

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

30937140000 is a wasteful number, since it uses less digits than its factorization.

30937140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The spelling of 30937140000 in words is "thirty billion, nine hundred thirty-seven million, one hundred forty thousand".