Search a number
-
+
242444044000 = 2553179338609
BaseRepresentation
bin1110000111001011001…
…0101000011011100000
3212011210100020112002001
43201302302220123200
512433011133402000
6303213253133344
723341663241344
oct3416262503340
9764710215061
10242444044000
1193902384714
123aba202a254
1319b2983b802
14ba3d0d5624
15648e7d246a
hex3872ca86e0

242444044000 has 96 divisors (see below), whose sum is σ = 599014634400. Its totient is φ = 96435558400.

The previous prime is 242444043953. The next prime is 242444044013. The reversal of 242444044000 is 440444242.

It is a super-2 number, since 2×2424440440002 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 242444044000.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 546696 + ... + 885304.

It is an arithmetic number, because the mean of its divisors is an integer number (6239735775).

Almost surely, 2242444044000 is an apocalyptic number.

242444044000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242444044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299507317200).

242444044000 is an abundant number, since it is smaller than the sum of its proper divisors (356570590400).

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

242444044000 is a wasteful number, since it uses less digits than its factorization.

242444044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338813 (or 338795 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 242444044000 its reverse (440444242), we get a palindrome (242884488242).

The spelling of 242444044000 in words is "two hundred forty-two billion, four hundred forty-four million, forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 179 200 250 358 400 500 716 800 895 1000 1432 1790 2000 2864 3580 4000 4475 5728 7160 8950 14320 17900 22375 28640 35800 44750 71600 89500 143200 179000 338609 358000 677218 716000 1354436 1693045 2708872 3386090 5417744 6772180 8465225 10835488 13544360 16930450 27088720 33860900 42326125 54177440 60611011 67721800 84652250 121222022 135443600 169304500 242444044 270887200 303055055 338609000 484888088 606110110 677218000 969776176 1212220220 1354436000 1515275275 1939552352 2424440440 3030550550 4848880880 6061101100 7576376375 9697761760 12122202200 15152752750 24244404400 30305505500 48488808800 60611011000 121222022000 242444044000