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242322113016 = 233261183130133
BaseRepresentation
bin1110000110101110000…
…1100000000111111000
3212011110211210210012200
43201223201200013320
512432233430104031
6303153215510200
723335652655414
oct3415341400770
9764424723180
10242322113016
119384a574105
123ab69228360
1319b0a4b99b9
14ba2ac35d44
156483c498e6
hex386b8601f8

242322113016 has 96 divisors (see below), whose sum is σ = 667434349920. Its totient is φ = 79403846400.

The previous prime is 242322113009. The next prime is 242322113017. The reversal of 242322113016 is 610311223242.

242322113016 is a `hidden beast` number, since 2 + 423 + 221 + 1 + 3 + 0 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242322113017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8026686 + ... + 8056818.

It is an arithmetic number, because the mean of its divisors is an integer number (6952441145).

Almost surely, 2242322113016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242322113016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333717174960).

242322113016 is an abundant number, since it is smaller than the sum of its proper divisors (425112236904).

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

242322113016 is a wasteful number, since it uses less digits than its factorization.

242322113016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32037 (or 32030 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 242322113016 its reverse (610311223242), we get a palindrome (852633336258).

The spelling of 242322113016 in words is "two hundred forty-two billion, three hundred twenty-two million, one hundred thirteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 1831 2196 3662 4392 5493 7324 10986 14648 16479 21972 30133 32958 43944 60266 65916 90399 111691 120532 131832 180798 223382 241064 271197 335073 361596 446764 542394 670146 723192 893528 1005219 1084788 1340292 1838113 2010438 2169576 2680584 3676226 4020876 5514339 7352452 8041752 11028678 14704904 16543017 22057356 33086034 44114712 55173523 66172068 110347046 132344136 165520569 220694092 331041138 441388184 496561707 662082276 993123414 1324164552 1986246828 3365584903 3972493656 6731169806 10096754709 13462339612 20193509418 26924679224 30290264127 40387018836 60580528254 80774037672 121161056508 242322113016