Search a number
-
+
42444200220 = 22351794144221
BaseRepresentation
bin100111100001110111…
…110001100100011100
311001120000020202212120
4213201313301210130
51143411203401340
631255410302540
73031543514652
oct474167614434
9131500222776
1042444200220
111700070a924
128286587a50
134005575796
1420a9054dd2
15118638e4d0
hex9e1df191c

42444200220 has 96 divisors (see below), whose sum is σ = 125971142976. Its totient is φ = 10641100800.

The previous prime is 42444200213. The next prime is 42444200261. The reversal of 42444200220 is 2200244424.

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 31 ways as a sum of consecutive naturals, for example, 937710 + ... + 981930.

It is an arithmetic number, because the mean of its divisors is an integer number (1312199406).

Almost surely, 242444200220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42444200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62985571488).

42444200220 is an abundant number, since it is smaller than the sum of its proper divisors (83526942756).

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

42444200220 is a wasteful number, since it uses less digits than its factorization.

42444200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45191 (or 45189 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 42444200220 its reverse (2200244424), we get a palindrome (44644444644).

The spelling of 42444200220 in words is "forty-two billion, four hundred forty-four million, two hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 941 1020 1882 2823 3764 4705 5646 9410 11292 14115 15997 18820 28230 31994 44221 47991 56460 63988 79985 88442 95982 132663 159970 176884 191964 221105 239955 265326 319940 442210 479910 530652 663315 751757 884420 959820 1326630 1503514 2255271 2653260 3007028 3758785 4510542 7517570 9021084 11276355 15035140 22552710 41611961 45105420 83223922 124835883 166447844 208059805 249671766 416119610 499343532 624179415 707403337 832239220 1248358830 1414806674 2122210011 2496717660 2829613348 3537016685 4244420022 7074033370 8488840044 10611050055 14148066740 21222100110 42444200220