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242535202344 = 23331122848159
BaseRepresentation
bin1110000111100000111…
…0010111111000101000
3212012000200202211211000
43201320032113320220
512433203002433334
6303230311035000
723344151130201
oct3417016277050
9765020684730
10242535202344
1193949887296
123b00866ba60
1319b426a7a66
14ba4b2645a8
1564977dc299
hex3878397e28

242535202344 has 32 divisors (see below), whose sum is σ = 673708896000. Its totient is φ = 80845067376.

The previous prime is 242535202321. The next prime is 242535202373. The reversal of 242535202344 is 443202535242.

242535202344 is a `hidden beast` number, since 2 + 42 + 53 + 520 + 2 + 3 + 44 = 666.

242535202344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 242535202299 and 242535202308.

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, 561423864 + ... + 561424295.

It is an arithmetic number, because the mean of its divisors is an integer number (21053403000).

Almost surely, 2242535202344 is an apocalyptic number.

242535202344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242535202344 is an abundant number, since it is smaller than the sum of its proper divisors (431173693656).

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

242535202344 is a wasteful number, since it uses less digits than its factorization.

242535202344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122848174 (or 1122848164 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 242535202344 its reverse (443202535242), we get a palindrome (685737737586).

The spelling of 242535202344 in words is "two hundred forty-two billion, five hundred thirty-five million, two hundred two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1122848159 2245696318 3368544477 4491392636 6737088954 8982785272 10105633431 13474177908 20211266862 26948355816 30316900293 40422533724 60633800586 80845067448 121267601172 242535202344