Search a number
-
+
24284034138 = 2371349190583
BaseRepresentation
bin10110100111011100…
…001111010001011010
32022200101200202021210
4112213130033101122
5344213203043023
615053403043550
71516531612230
oct264734172132
968611622253
1024284034138
11a331782301
1248588105b6
1323a00c6c90
141265254950
15971de9593
hex5a770f45a

24284034138 has 64 divisors (see below), whose sum is σ = 59898488832. Its totient is φ = 6391465920.

The previous prime is 24284034127. The next prime is 24284034161. The reversal of 24284034138 is 83143048242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 24284034096 and 24284034105.

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 31 ways as a sum of consecutive naturals, for example, 222795 + ... + 313377.

It is an arithmetic number, because the mean of its divisors is an integer number (935913888).

Almost surely, 224284034138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24284034138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29949244416).

24284034138 is an abundant number, since it is smaller than the sum of its proper divisors (35614454694).

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

24284034138 is a wasteful number, since it uses less digits than its factorization.

24284034138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91099.

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 24284034138 in words is "twenty-four billion, two hundred eighty-four million, thirty-four thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 491 546 982 1473 2946 3437 6383 6874 10311 12766 19149 20622 38298 44681 89362 90583 134043 181166 268086 271749 543498 634081 1177579 1268162 1902243 2355158 3532737 3804486 7065474 8243053 16486106 24729159 44476253 49458318 88952506 133428759 266857518 311333771 578191289 622667542 934001313 1156382578 1734573867 1868002626 3469147734 4047339023 8094678046 12142017069 24284034138