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242044111232 = 27711173739043
BaseRepresentation
bin1110000101101011110…
…1000000100110000000
3212010202110200211110022
43201122331000212000
512431201243024412
6303105445153012
723326035666530
oct3413275004600
9763673624408
10242044111232
1193717655270
123aab00bb768
1319a94a219c1
14ba01d4b4c0
156469633a72
hex385af40980

242044111232 has 256 divisors, whose sum is σ = 653765230080. Its totient is φ = 86354657280.

The previous prime is 242044111171. The next prime is 242044111279. The reversal of 242044111232 is 232111440242.

242044111232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6179903 + ... + 6218945.

It is an arithmetic number, because the mean of its divisors is an integer number (2553770430).

Almost surely, 2242044111232 is an apocalyptic number.

242044111232 is a gapful number since it is divisible by the number (22) 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 242044111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326882615040).

242044111232 is an abundant number, since it is smaller than the sum of its proper divisors (411721118848).

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

242044111232 is a wasteful number, since it uses less digits than its factorization.

242044111232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39129 (or 39117 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 242044111232 its reverse (232111440242), we get a palindrome (474155551474).

The spelling of 242044111232 in words is "two hundred forty-two billion, forty-four million, one hundred eleven thousand, two hundred thirty-two".