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242321466264 = 23359171130979
BaseRepresentation
bin1110000110101101111…
…1000010001110011000
3212011110210120221000220
43201223133002032120
512432233243410024
6303153154000040
723335644323013
oct3415337021630
9764423527026
10242321466264
119384a1721a9
123ab68b76020
1319b0a3214c7
14ba2ab0837a
156483b6ce79
hex386b7c2398

242321466264 has 32 divisors (see below), whose sum is σ = 616071528000. Its totient is φ = 79404773792.

The previous prime is 242321466251. The next prime is 242321466311. The reversal of 242321466264 is 462664123242.

242321466264 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 nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 85564074 + ... + 85566905.

It is an arithmetic number, because the mean of its divisors is an integer number (19252235250).

Almost surely, 2242321466264 is an apocalyptic number.

242321466264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242321466264 is an abundant number, since it is smaller than the sum of its proper divisors (373750061736).

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

242321466264 is a wasteful number, since it uses less digits than its factorization.

242321466264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171131047 (or 171131043 counting only the distinct ones).

The product of its digits is 663552, while the sum is 42.

The spelling of 242321466264 in words is "two hundred forty-two billion, three hundred twenty-one million, four hundred sixty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 236 354 472 708 1416 171130979 342261958 513392937 684523916 1026785874 1369047832 2053571748 4107143496 10096727761 20193455522 30290183283 40386911044 60580366566 80773822088 121160733132 242321466264