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242404404242 = 272111357130293
BaseRepresentation
bin1110000111000001101…
…1011010110000010010
3212011200120122121112212
43201300123122300102
512432421011413432
6303205315352122
723341002303500
oct3416033326022
9764616577485
10242404404242
1193891a6a790
123ab908b2642
1319b2156cc30
14ba37b37670
15648b0a22b2
hex38706dac12

242404404242 has 96 divisors (see below), whose sum is σ = 497803610304. Its totient is φ = 87022857600.

The previous prime is 242404404239. The next prime is 242404404257.

242404404242 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 242404404199 and 242404404208.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7986848 + ... + 8017140.

It is an arithmetic number, because the mean of its divisors is an integer number (5185454274).

Almost surely, 2242404404242 is an apocalyptic number.

242404404242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

242404404242 is an abundant number, since it is smaller than the sum of its proper divisors (255399206062).

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

242404404242 is a wasteful number, since it uses less digits than its factorization.

242404404242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30904 (or 30897 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

It can be divided in two parts, 242404 and 404242, that added together give a palindrome (646646).

The spelling of 242404404242 in words is "two hundred forty-two billion, four hundred four million, four hundred four thousand, two hundred forty-two".

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 143 154 182 286 539 571 637 1001 1078 1142 1274 2002 3997 6281 7007 7423 7994 12562 14014 14846 27979 30293 43967 51961 55958 60586 81653 87934 103922 163306 212051 307769 333223 363727 393809 424102 571571 615538 666446 727454 787618 1143142 1484357 2332561 2756663 2968714 4000997 4331899 4665122 5513326 8001994 8663798 16327927 17297303 19296641 30323293 32655854 34594606 38593282 60646586 121081121 190270333 212263051 224864939 242162242 380540666 424526102 449729878 847567847 1331892331 1574054573 1695135694 2473514329 2663784662 3148109146 4947028658 9323246317 11018382011 17314600303 18646492634 22036764022 34629200606 121202202121 242404404242