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42237022128 = 24371037011741
BaseRepresentation
bin100111010101100001…
…011100111110110000
311001000120102000221220
4213111201130332300
51143000134202003
631223045545040
73023446523130
oct472541347660
9131016360856
1042237022128
1116a04774964
128229115180
133ca16771b2
142089724ac0
1511730b8353
hex9d585cfb0

42237022128 has 160 divisors (see below), whose sum is σ = 126162496512. Its totient is φ = 11926656000.

The previous prime is 42237022123. The next prime is 42237022153. The reversal of 42237022128 is 82122073224.

It is not an unprimeable number, because it can be changed into a prime (42237022123) 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, 24259338 + ... + 24261078.

Almost surely, 242237022128 is an apocalyptic number.

42237022128 is a gapful number since it is divisible by the number (48) 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 42237022128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63081248256).

42237022128 is an abundant number, since it is smaller than the sum of its proper divisors (83925474384).

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

42237022128 is a wasteful number, since it uses less digits than its factorization.

42237022128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The spelling of 42237022128 in words is "forty-two billion, two hundred thirty-seven million, twenty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 103 112 168 206 309 336 412 618 701 721 824 1236 1402 1442 1648 1741 2103 2163 2472 2804 2884 3482 4206 4326 4907 4944 5223 5608 5768 6964 8412 8652 9814 10446 11216 11536 12187 13928 14721 16824 17304 19628 20892 24374 27856 29442 33648 34608 36561 39256 41784 48748 58884 72203 73122 78512 83568 97496 117768 144406 146244 179323 194992 216609 235536 288812 292488 358646 433218 505421 537969 577624 584976 717292 866436 1010842 1075938 1155248 1220441 1255261 1434584 1516263 1732872 2021684 2151876 2440882 2510522 2869168 3032526 3465744 3661323 3765783 4043368 4303752 4881764 5021044 6065052 7322646 7531566 8086736 8543087 8607504 9763528 10042088 12130104 14645292 15063132 17086174 19527056 20084176 24260208 25629261 29290584 30126264 34172348 51258522 58581168 60252528 68344696 102517044 125705423 136689392 205034088 251410846 377116269 410068176 502821692 754232538 879937961 1005643384 1508465076 1759875922 2011286768 2639813883 3016930152 3519751844 5279627766 6033860304 7039503688 10559255532 14079007376 21118511064 42237022128