Search a number
-
+
245004032000000 = 214567132809
BaseRepresentation
bin110111101101010001110010…
…010010111100000000000000
31012010111011020020121000111102
4313231101302102330000000
5224103121224143000000
62225025144250033532
7102414646211515520
oct6755216222740000
91163434206530442
10245004032000000
117107a698905189
122358b50a7188a8
13a692a20064700
144470389169680
151d4d1b54743d5
hexded4724bc000

245004032000000 has 1260 divisors, whose sum is σ = 758904724957680. Its totient is φ = 77443891200000.

The previous prime is 245004031999927. The next prime is 245004032000003. The reversal of 245004032000000 is 230400542.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245004032000003) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 302847999596 + ... + 302848000404.

It is an arithmetic number, because the mean of its divisors is an integer number (602305337268).

Almost surely, 2245004032000000 is an apocalyptic number.

245004032000000 is a gapful number since it is divisible by the number (20) 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 245004032000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379452362478840).

245004032000000 is an abundant number, since it is smaller than the sum of its proper divisors (513900692957680).

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

245004032000000 is an frugal number, since it uses more digits than its factorization.

245004032000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

Adding to 245004032000000 its reverse (230400542), we get a palindrome (245004262400542).

The spelling of 245004032000000 in words is "two hundred forty-five trillion, four billion, thirty-two million", and thus it is an aban number.