Search a number
-
+
242344240404 = 223794115431987
BaseRepresentation
bin1110000110110011010…
…1111010010100010100
3212011112101102222021120
43201230311322110110
512432310111143104
6303155330043540
723336342024640
oct3415465722424
9764471388246
10242344240404
1193861007802
123ab747195b0
1319b11c66526
14ba2db55c20
156485b6acd9
hex386cd7a514

242344240404 has 96 divisors (see below), whose sum is σ = 647683147776. Its totient is φ = 69088014720.

The previous prime is 242344240393. The next prime is 242344240421. The reversal of 242344240404 is 404042443242.

242344240404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 121963899 + ... + 121965885.

It is an arithmetic number, because the mean of its divisors is an integer number (6746699456).

Almost surely, 2242344240404 is an apocalyptic number.

It is an amenable number.

242344240404 is an abundant number, since it is smaller than the sum of its proper divisors (405338907372).

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

242344240404 is a wasteful number, since it uses less digits than its factorization.

242344240404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4485 (or 4483 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 33.

Adding to 242344240404 its reverse (404042443242), we get a palindrome (646386683646).

The spelling of 242344240404 in words is "two hundred forty-two billion, three hundred forty-four million, two hundred forty thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 941 1543 1882 1987 2823 3086 3764 3974 4629 5646 5961 6172 6587 7948 9258 10801 11292 11922 13174 13909 18516 19761 21602 23844 26348 27818 32403 39522 41727 43204 55636 64806 79044 83454 129612 166908 1451963 1869767 2903926 3065941 3739534 4355889 5609301 5807852 6131882 7479068 8711778 9197823 10163741 11218602 12263764 13088369 17423556 18395646 20327482 21461587 22437204 26176738 30491223 36791292 39265107 40654964 42923174 52353476 60982446 64384761 78530214 85846348 121964892 128769522 157060428 257539044 2885050481 5770100962 8655151443 11540201924 17310302886 20195353367 34620605772 40390706734 60586060101 80781413468 121172120202 242344240404