Search a number
-
+
241444111211124 = 223443195131217459
BaseRepresentation
bin110110111001011110010110…
…011110110101101001110100
31011122212211110020120120021220
4312321132112132311221310
5223121310014432223444
62213301520552510340
7101566522104213423
oct6671362636655164
91148784406516256
10241444111211124
116aa27966386498
12230b55a03ab3b0
13a49510b1a1b63
144389d58cd92ba
151cda7ae7e4619
hexdb97967b5a74

241444111211124 has 96 divisors (see below), whose sum is σ = 565187490631680. Its totient is φ = 80222066496000.

The previous prime is 241444111211117. The next prime is 241444111211179. The reversal of 241444111211124 is 421112111444142.

It is a super-2 number, since 2×2414441112111242 (a number of 30 digits) contains 22 as substring.

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 (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32369497707 + ... + 32369505165.

It is an arithmetic number, because the mean of its divisors is an integer number (5887369694080).

Almost surely, 2241444111211124 is an apocalyptic number.

It is an amenable number.

241444111211124 is an abundant number, since it is smaller than the sum of its proper divisors (323743379420556).

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

241444111211124 is a wasteful number, since it uses less digits than its factorization.

241444111211124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12981 (or 12979 counting only the distinct ones).

The product of its digits is 8192, while the sum is 33.

Adding to 241444111211124 its reverse (421112111444142), we get a palindrome (662556222655266).

The spelling of 241444111211124 in words is "two hundred forty-one trillion, four hundred forty-four billion, one hundred eleven million, two hundred eleven thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 443 886 1329 1772 1951 2658 3121 3902 5316 5853 6242 7459 7804 9363 11706 12484 14918 18726 22377 23412 29836 37452 44754 89508 864293 1382603 1728586 2592879 2765206 3304337 3457172 4147809 5185758 5530412 6089071 6608674 8295618 9913011 10371516 12178142 13217348 14552509 16591236 18267213 19826022 23279539 24356284 29105018 36534426 39652044 43657527 46559078 58210036 69838617 73068852 87315054 93118156 139677234 174630108 279354468 2697458453 5394916906 6446761487 8092375359 10312835777 10789833812 12893522974 16184750718 19340284461 20625671554 25787045948 30938507331 32369501436 38680568922 41251343108 45418380589 61877014662 77361137844 90836761178 123754029324 136255141767 181673522356 272510283534 545020567068 20120342600927 40240685201854 60361027802781 80481370403708 120722055605562 241444111211124