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242234234000000 = 27561129337579
BaseRepresentation
bin110111000100111110001101…
…011110000101001010000000
31011202200100220020222222211022
4313010332031132011022000
5223222231202401000000
62215104512034205012
7102010563064131524
oct6704761536051200
91152610806888738
10242234234000000
1170201a64072290
122320274aa23768
13a521789a234b8
1443b62b1541d84
151d011058d0585
hexdc4f8d785280

242234234000000 has 448 divisors, whose sum is σ = 660313251007200. Its totient is φ = 87782208000000.

The previous prime is 242234233999949. The next prime is 242234234000047. The reversal of 242234234000000 is 432432242.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6445981211 + ... + 6446018789.

Almost surely, 2242234234000000 is an apocalyptic number.

242234234000000 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 242234234000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330156625503600).

242234234000000 is an abundant number, since it is smaller than the sum of its proper divisors (418079017007200).

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

242234234000000 is an frugal number, since it uses more digits than its factorization.

242234234000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37927 (or 37890 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 242234234000000 its reverse (432432242), we get a palindrome (242234666432242).

The spelling of 242234234000000 in words is "two hundred forty-two trillion, two hundred thirty-four billion, two hundred thirty-four million", and thus it is an aban number.