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242488712088 = 233271732781089
BaseRepresentation
bin1110000111010101110…
…1000001101110011000
3212011220110021220011200
43201311131001232120
512433104102241323
6303221530354200
723343045021120
oct3416535015630
9764813256150
10242488712088
1193925613497
123abb4b8b960
1319b35b7b02c
14ba45001c80
1564936a7443
hex3875741b98

242488712088 has 96 divisors (see below), whose sum is σ = 754899069600. Its totient is φ = 68881987584.

The previous prime is 242488712087. The next prime is 242488712093. The reversal of 242488712088 is 880217884242.

242488712088 is a `hidden beast` number, since 2 + 424 + 8 + 8 + 7 + 1 + 208 + 8 = 666.

242488712088 is digitally balanced in base 2 and base 3, because in such bases 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 (242488712087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1303353 + ... + 1477736.

It is an arithmetic number, because the mean of its divisors is an integer number (7863531975).

Almost surely, 2242488712088 is an apocalyptic number.

242488712088 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

242488712088 is an abundant number, since it is smaller than the sum of its proper divisors (512410357512).

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

242488712088 is a wasteful number, since it uses less digits than its factorization.

242488712088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781281 (or 2781274 counting only the distinct ones).

The product of its (nonzero) digits is 3670016, while the sum is 54.

The spelling of 242488712088 in words is "two hundred forty-two billion, four hundred eighty-eight million, seven hundred twelve thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 173 252 346 504 519 692 1038 1211 1384 1557 2076 2422 3114 3633 4152 4844 6228 7266 9688 10899 12456 14532 21798 29064 43596 87192 2781089 5562178 8343267 11124356 16686534 19467623 22248712 25029801 33373068 38935246 50059602 58402869 66746136 77870492 100119204 116805738 155740984 175208607 200238408 233611476 350417214 467222952 481128397 700834428 962256794 1401668856 1443385191 1924513588 2886770382 3367898779 3849027176 4330155573 5773540764 6735797558 8660311146 10103696337 11547081528 13471595116 17320622292 20207392674 26943190232 30311089011 34641244584 40414785348 60622178022 80829570696 121244356044 242488712088