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242627114296 = 23735912068599
BaseRepresentation
bin1110000111110110110…
…0111111010100111000
3212012021002201110022101
43201331230333110320
512433400020124141
6303243353033144
723346345305110
oct3417554772470
9765232643271
10242627114296
1193996754086
123b0333b57b4
1319b58749028
14ba5954c040
1564a08e5531
hex387db3f538

242627114296 has 32 divisors (see below), whose sum is σ = 521363520000. Its totient is φ = 103693394016.

The previous prime is 242627114291. The next prime is 242627114311. The reversal of 242627114296 is 692411726242.

242627114296 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 not an unprimeable number, because it can be changed into a prime (242627114291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6014196 + ... + 6054403.

It is an arithmetic number, because the mean of its divisors is an integer number (16292610000).

Almost surely, 2242627114296 is an apocalyptic number.

It is an amenable number.

242627114296 is an abundant number, since it is smaller than the sum of its proper divisors (278736405704).

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

242627114296 is a wasteful number, since it uses less digits than its factorization.

242627114296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12068971 (or 12068967 counting only the distinct ones).

The product of its digits is 580608, while the sum is 46.

The spelling of 242627114296 in words is "two hundred forty-two billion, six hundred twenty-seven million, one hundred fourteen thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 28 56 359 718 1436 2513 2872 5026 10052 20104 12068599 24137198 48274396 84480193 96548792 168960386 337920772 675841544 4332627041 8665254082 17330508164 30328389287 34661016328 60656778574 121313557148 242627114296