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242533122344 = 23192534493529
BaseRepresentation
bin1110000111100000011…
…0011100000100101000
3212012000112212011120222
43201320012130010220
512433201434403334
6303230154305212
723344124345102
oct3417006340450
9765015764528
10242533122344
1193948696587
123b007a28208
1319b4212a0a6
14ba4ac82572
15649752ad2e
hex387819c128

242533122344 has 96 divisors (see below), whose sum is σ = 490226985000. Its totient is φ = 112433577984.

The previous prime is 242533122329. The next prime is 242533122389. The reversal of 242533122344 is 443221335242.

It can be written as a sum of positive squares in 4 ways, for example, as 194807476900 + 47725645444 = 441370^2 + 218462^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68723972 + ... + 68727500.

Almost surely, 2242533122344 is an apocalyptic number.

It is an amenable number.

242533122344 is an abundant number, since it is smaller than the sum of its proper divisors (247693862656).

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

242533122344 is a wasteful number, since it uses less digits than its factorization.

242533122344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4075 (or 4052 counting only the distinct ones).

The product of its digits is 138240, while the sum is 35.

Adding to 242533122344 its reverse (443221335242), we get a palindrome (685754457586).

The spelling of 242533122344 in words is "two hundred forty-two billion, five hundred thirty-three million, one hundred twenty-two thousand, three hundred forty-four".

Divisors: 1 2 4 8 19 38 53 76 106 152 212 361 424 449 722 898 1007 1444 1796 2014 2888 3529 3592 4028 7058 8056 8531 14116 17062 19133 23797 28232 34124 38266 47594 67051 68248 76532 95188 134102 153064 162089 187037 190376 268204 324178 374074 452143 536408 648356 748148 904286 1273969 1296712 1496296 1584521 1808572 2547938 3169042 3553703 3617144 5095876 6338084 7107406 8590717 10191752 12676168 14214812 17181434 28429624 30105899 34362868 60211798 67520357 68725736 83979613 120423596 135040714 167959226 240847192 270081428 335918452 540162856 572012081 671836904 1144024162 1595612647 2288048324 3191225294 4576096648 6382450588 12764901176 30316640293 60633280586 121266561172 242533122344