Search a number
-
+
243886342656 = 2931131465631
BaseRepresentation
bin1110001100100011000…
…0100100001000000000
3212022111212011212212210
43203020300210020000
512443434400431111
6304012334422120
723422505464605
oct3431060441000
9768455155783
10243886342656
1194482533a80
123b325061940
1319cc95aa178
14bb388986ac
1565262300a6
hex38c8c24200

243886342656 has 160 divisors (see below), whose sum is σ = 731660599296. Its totient is φ = 71520768000.

The previous prime is 243886342639. The next prime is 243886342669. The reversal of 243886342656 is 656243688342.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 243886342596 and 243886342605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290961 + ... + 756591.

Almost surely, 2243886342656 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 243886342656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365830299648).

243886342656 is an abundant number, since it is smaller than the sum of its proper divisors (487774256640).

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

243886342656 is a wasteful number, since it uses less digits than its factorization.

243886342656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465694 (or 465678 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 57.

The spelling of 243886342656 in words is "two hundred forty-three billion, eight hundred eighty-six million, three hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 128 132 176 186 192 248 256 264 341 352 372 384 496 512 528 682 704 744 768 992 1023 1056 1364 1408 1488 1536 1984 2046 2112 2728 2816 2976 3968 4092 4224 5456 5632 5952 7936 8184 8448 10912 11904 15872 16368 16896 21824 23808 32736 43648 47616 65472 87296 130944 174592 261888 465631 523776 931262 1396893 1862524 2793786 3725048 5121941 5587572 7450096 10243882 11175144 14434561 14900192 15365823 20487764 22350288 28869122 29800384 30731646 40975528 43303683 44700576 57738244 59600768 61463292 81951056 86607366 89401152 115476488 119201536 122926584 158780171 163902112 173214732 178802304 230952976 238403072 245853168 317560342 327804224 346429464 357604608 461905952 476340513 491706336 635120684 655608448 692858928 715209216 923811904 952681026 983412672 1270241368 1311216896 1385717856 1847623808 1905362052 1966825344 2540482736 2622433792 2771435712 3695247616 3810724104 3933650688 5080965472 5542871424 7390495232 7621448208 7867301376 10161930944 11085742848 15242896416 20323861888 22171485696 30485792832 40647723776 60971585664 81295447552 121943171328 243886342656