30005142000 has 320 divisors, whose sum is σ = 104213091840. Its totient is φ = 7402752000.

The previous prime is 30005141983. The next prime is 30005142061. The reversal of 30005142000 is 24150003.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4898940 + ... + 4905060.

It is an arithmetic number, because the mean of its divisors is an integer number (325665912).

Almost surely, 2^30005142000 is an apocalyptic number.

30005142000 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 30005142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52106545920).

30005142000 is an abundant number, since it is smaller than the sum of its proper divisors (74207949840).

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

30005142000 is a wasteful number, since it uses less digits than its factorization.

30005142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6209 (or 6193 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 30005142000 its reverse (24150003), we get a palindrome (30029292003).

The spelling of 30005142000 in words is "thirty billion, five million, one hundred forty-two thousand".