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242321432444 = 227213127974357
BaseRepresentation
bin1110000110101101111…
…0111001111101111100
3212011110210112012122022
43201223132321331330
512432233241314234
6303153153135312
723335644122300
oct3415336717574
9764423465568
10242321432444
119384a149853
123ab68b5a538
1319b0a30bcb0
14ba2aad9d00
156483b62e2e
hex386b7b9f7c

242321432444 has 72 divisors (see below), whose sum is σ = 531665648640. Its totient is φ = 95787183744.

The previous prime is 242321432417. The next prime is 242321432491. The reversal of 242321432444 is 444234123242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3221714 + ... + 3296070.

It is an arithmetic number, because the mean of its divisors is an integer number (7384245120).

Almost surely, 2242321432444 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 242321432444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265832824320).

242321432444 is an abundant number, since it is smaller than the sum of its proper divisors (289344216196).

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

242321432444 is a wasteful number, since it uses less digits than its factorization.

242321432444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75667 (or 75658 counting only the distinct ones).

The product of its digits is 147456, while the sum is 35.

Adding to 242321432444 its reverse (444234123242), we get a palindrome (686555555686).

The spelling of 242321432444 in words is "two hundred forty-two billion, three hundred twenty-one million, four hundred thirty-two thousand, four hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 1274 1279 2548 2558 5116 8953 16627 17906 33254 35812 62671 66508 74357 116389 125342 148714 232778 250684 297428 465556 520499 814723 966641 1040998 1629446 1933282 2081996 3258892 3643493 3866564 6766487 7286986 13532974 14573972 27065948 47365409 94730818 95102603 189461636 190205206 380410412 665718221 1236333839 1331436442 2472667678 2662872884 4660027547 4945335356 8654336873 9320055094 17308673746 18640110188 34617347492 60580358111 121160716222 242321432444