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242355500322 = 231329569188299
BaseRepresentation
bin1110000110110110000…
…0110111010100100010
3212011120011122000222120
43201231200313110202
512432321002002242
6303200411245110
723336536522455
oct3415540672442
9764504560876
10242355500322
11938673a8521
123ab78449796
1319b143a96c0
14ba3144749c
156486b421ec
hex386d837522

242355500322 has 64 divisors (see below), whose sum is σ = 540948240000. Its totient is φ = 71872593408.

The previous prime is 242355500311. The next prime is 242355500339. The reversal of 242355500322 is 223005553242.

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, 1192929 + ... + 1381227.

It is an arithmetic number, because the mean of its divisors is an integer number (8452316250).

Almost surely, 2242355500322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242355500322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270474120000).

242355500322 is an abundant number, since it is smaller than the sum of its proper divisors (298592739678).

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

242355500322 is a wasteful number, since it uses less digits than its factorization.

242355500322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188915.

The product of its (nonzero) digits is 72000, while the sum is 33.

The spelling of 242355500322 in words is "two hundred forty-two billion, three hundred fifty-five million, five hundred thousand, three hundred twenty-two".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 174 377 569 754 1131 1138 1707 2262 3414 7397 14794 16501 22191 33002 44382 49503 99006 188299 214513 376598 429026 564897 643539 1129794 1287078 2447887 4895774 5460671 7343661 10921342 14687322 16382013 32764026 70988723 107142131 141977446 212966169 214284262 321426393 425932338 642852786 1392847703 2785695406 3107121799 4178543109 6214243598 8357086218 9321365397 18642730794 40392583387 80785166774 121177750161 242355500322