Search a number
-
+
24320104242 = 237373915991
BaseRepresentation
bin10110101001100101…
…110101011100110010
32022202220120022011120
4112221211311130302
5344301421313432
615101132123110
71520450322000
oct265145653462
968686508146
1024320104242
11a350079305
124868906496
1323a7715b35
141269d63a70
15975171c2c
hex5a9975732

24320104242 has 64 divisors (see below), whose sum is σ = 56803584000. Its totient is φ = 6938764560.

The previous prime is 24320104241. The next prime is 24320104247. The reversal of 24320104242 is 24240102342.

It is not an unprimeable number, because it can be changed into a prime (24320104241) 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 31 ways as a sum of consecutive naturals, for example, 1512867 + ... + 1528857.

It is an arithmetic number, because the mean of its divisors is an integer number (887556000).

Almost surely, 224320104242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24320104242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28401792000).

24320104242 is an abundant number, since it is smaller than the sum of its proper divisors (32483479758).

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

24320104242 is a wasteful number, since it uses less digits than its factorization.

24320104242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16756 (or 16742 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 24320104242 its reverse (24240102342), we get a palindrome (48560206584).

The spelling of 24320104242 in words is "twenty-four billion, three hundred twenty million, one hundred four thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 343 686 739 1029 1478 2058 2217 4434 5173 10346 15519 15991 31038 31982 36211 47973 72422 95946 108633 111937 217266 223874 253477 335811 506954 671622 760431 783559 1520862 1567118 2350677 4701354 5484913 10969826 11817349 16454739 23634698 32909478 35452047 70904094 82721443 165442886 248164329 496328658 579050101 1158100202 1737150303 3474300606 4053350707 8106701414 12160052121 24320104242