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42121532232 = 233213317141961
BaseRepresentation
bin100111001110101000…
…111001001101001000
311000201112002112121100
4213032220321031020
51142231103012412
631203402341400
73020545054653
oct471650711510
9130645075540
1042121532232
111695556366a
1281b64ba860
133c8376c090
14207826089a
151167da3edc
hex9cea39348

42121532232 has 96 divisors (see below), whose sum is σ = 123242890680. Its totient is φ = 12919495680.

The previous prime is 42121532221. The next prime is 42121532237. The reversal of 42121532232 is 23223512124.

42121532232 is a `hidden beast` number, since 4 + 2 + 121 + 532 + 2 + 3 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13592295396 + 28529236836 = 116586^2 + 168906^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42121532196 and 42121532205.

It is not an unprimeable number, because it can be changed into a prime (42121532237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225732 + ... + 367692.

Almost surely, 242121532232 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 42121532232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61621445340).

42121532232 is an abundant number, since it is smaller than the sum of its proper divisors (81121358448).

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

42121532232 is a wasteful number, since it uses less digits than its factorization.

42121532232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142303 (or 142296 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The spelling of 42121532232 in words is "forty-two billion, one hundred twenty-one million, five hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 317 468 634 936 951 1268 1902 2536 2853 3804 4121 5706 7608 8242 11412 12363 16484 22824 24726 32968 37089 49452 74178 98904 141961 148356 283922 296712 425883 567844 851766 1135688 1277649 1703532 1845493 2555298 3407064 3690986 5110596 5536479 7381972 10221192 11072958 14763944 16609437 22145916 33218874 44291832 45001637 66437748 90003274 132875496 135004911 180006548 270009822 360013096 405014733 540019644 585021281 810029466 1080039288 1170042562 1620058932 1755063843 2340085124 3240117864 3510127686 4680170248 5265191529 7020255372 10530383058 14040510744 21060766116 42121532232