Search a number
-
+
241241323231344 = 243172459111202219
BaseRepresentation
bin110110110110100001011111…
…011000000101100001110000
31011122011110000121012211112010
4312312201133120011201300
5223104444212221400334
62213024422310402520
7101546052610633452
oct6666413730054160
91148143017184463
10241241323231344
116a9599638a7877
1223082227060440
13a47bc613a3a07
1443801dc8422d2
151cd539170c0e9
hexdb685f605870

241241323231344 has 80 divisors (see below), whose sum is σ = 659869204596480. Its totient is φ = 75683181665280.

The previous prime is 241241323231339. The next prime is 241241323231351. The reversal of 241241323231344 is 443132323142142.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200062267 + ... + 201264485.

It is an arithmetic number, because the mean of its divisors is an integer number (8248365057456).

Almost surely, 2241241323231344 is an apocalyptic number.

241241323231344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

241241323231344 is an abundant number, since it is smaller than the sum of its proper divisors (418627881365136).

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

241241323231344 is a wasteful number, since it uses less digits than its factorization.

241241323231344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448158 (or 1448152 counting only the distinct ones).

The product of its digits is 331776, while the sum is 39.

Adding to 241241323231344 its reverse (443132323142142), we get a palindrome (684373646373486).

The spelling of 241241323231344 in words is "two hundred forty-one trillion, two hundred forty-one billion, three hundred twenty-three million, two hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 245911 491822 737733 983644 1202219 1475466 1967288 2404438 2950932 3606657 3934576 4180487 4808876 5901864 7213314 8360974 9617752 11803728 12541461 14426628 16721948 19235504 20437723 25082922 28853256 33443896 40875446 50165844 57706512 61313169 66887792 81750892 100331688 122626338 163501784 200663376 245252676 327003568 490505352 981010704 295638876509 591277753018 886916629527 1182555506036 1773833259054 2365111012072 3547666518108 4730222024144 5025860900653 7095333036216 10051721801306 14190666072432 15077582701959 20103443602612 30155165403918 40206887205224 60310330807836 80413774410448 120620661615672 241241323231344