Search a number
-
+
42244433022 = 23115321911193
BaseRepresentation
bin100111010101111101…
…101110010001111110
311001001002100112210110
4213111331232101332
51143004033324042
631223512450450
73023566520211
oct472575562176
9131032315713
1042244433022
1116a08976870
12822b6a9a26
133ca307043c
14208a6d3778
151173a7e09c
hex9d5f6e47e

42244433022 has 96 divisors (see below), whose sum is σ = 94512531456. Its totient is φ = 12483577600.

The previous prime is 42244432957. The next prime is 42244433051. The reversal of 42244433022 is 22033444224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35409658 + ... + 35410850.

It is an arithmetic number, because the mean of its divisors is an integer number (984505536).

Almost surely, 242244433022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42244433022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47256265728).

42244433022 is an abundant number, since it is smaller than the sum of its proper divisors (52268098434).

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

42244433022 is a wasteful number, since it uses less digits than its factorization.

42244433022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 42244433022 its reverse (22033444224), we get a palindrome (64277877246).

It can be divided in two parts, 422 and 44433022, that added together give a palindrome (44433444).

The spelling of 42244433022 in words is "forty-two billion, two hundred forty-four million, four hundred thirty-three thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 53 66 106 159 191 318 382 573 583 1146 1166 1193 1749 2101 2386 2809 3498 3579 4202 5618 6303 7158 8427 10123 12606 13123 16854 20246 26246 30369 30899 39369 60738 61798 63229 78738 92697 111353 126458 185394 189687 222706 227863 334059 379374 455726 536519 668118 683589 695519 1073038 1367178 1391038 1609557 2086557 2506493 3219114 3351137 4173114 5012986 5901709 6702274 7519479 10053411 11803418 12076739 15038958 17705127 20106822 24153478 35410254 36230217 36862507 72460434 73725014 110587521 132844129 221175042 265688258 398532387 640067167 797064774 1280134334 1920201501 3840403002 7040738837 14081477674 21122216511 42244433022