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242433324441 = 32711834399601
BaseRepresentation
bin1110000111001000100…
…1101111010110011001
3212011202121001220121100
43201302021233112121
512433000412340231
6303212231302013
723341503154110
oct3416211572631
9764677056540
10242433324441
11938a7322980
123ab9a51a909
1319b27557589
14ba3b904c77
15648d8b61e6
hex387226f599

242433324441 has 96 divisors (see below), whose sum is σ = 442902620160. Its totient is φ = 124125696000.

The previous prime is 242433324439. The next prime is 242433324449. The reversal of 242433324441 is 144423334242.

242433324441 is a `hidden beast` number, since 2 + 4 + 243 + 332 + 44 + 41 = 666.

It is not a de Polignac number, because 242433324441 - 21 = 242433324439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 242433324396 and 242433324405.

It is not an unprimeable number, because it can be changed into a prime (242433324449) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25246041 + ... + 25255641.

It is an arithmetic number, because the mean of its divisors is an integer number (4613568960).

Almost surely, 2242433324441 is an apocalyptic number.

242433324441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

242433324441 is a deficient number, since it is larger than the sum of its proper divisors (200469295719).

242433324441 is a wasteful number, since it uses less digits than its factorization.

242433324441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10147 (or 10144 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

Adding to 242433324441 its reverse (144423334242), we get a palindrome (386856658683).

The spelling of 242433324441 in words is "two hundred forty-two billion, four hundred thirty-three million, three hundred twenty-four thousand, four hundred forty-one".

Divisors: 1 3 7 9 11 21 33 63 77 83 99 231 249 439 581 693 747 913 1317 1743 2739 3073 3951 4829 5229 6391 8217 9219 9601 14487 19173 27657 28803 33803 36437 43461 57519 67207 86409 101409 105611 109311 201621 255059 304227 316833 327933 400807 604863 739277 765177 796883 950499 1202421 2217831 2295531 2390649 2805649 3607263 4214839 5578181 6653493 7171947 8416947 8765713 12644517 16734543 25250841 26297139 29503873 37933551 46363229 50203629 61359991 78891417 88511619 139089687 184079973 265534857 324542603 349831637 417269061 552239919 973627809 1049494911 2448821459 2920883427 3148484733 3848148007 7346464377 11544444021 22039393131 26937036049 34633332063 80811108147 242433324441