Search a number
-
+
14241232303002 = 2322371974994789
BaseRepresentation
bin1100111100111100101110…
…0101111011001110011010
31212102110002222001122200100
43033033023211323032122
53331312020432144002
650142155400320230
72666616004163355
oct317171345731632
955373088048610
1014241232303002
1145a0744404361
121720067a73076
137c3c3371a143
143733ca65929c
1519a6a912611c
hexcf3cb97b39a

14241232303002 has 96 divisors (see below), whose sum is σ = 32987670992640. Its totient is φ = 4430576747520.

The previous prime is 14241232302977. The next prime is 14241232303027. The reversal of 14241232303002 is 20030323214241.

14241232303002 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 123 + 230 + 300 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (14241232302977) and next prime (14241232303027).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 353824 + ... + 5348612.

It is an arithmetic number, because the mean of its divisors is an integer number (343621572840).

Almost surely, 214241232303002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14241232303002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16493835496320).

14241232303002 is an abundant number, since it is smaller than the sum of its proper divisors (18746438689638).

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

14241232303002 is a wasteful number, since it uses less digits than its factorization.

14241232303002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4994988 (or 4994985 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 14241232303002 its reverse (20030323214241), we get a palindrome (34271555517243).

The spelling of 14241232303002 in words is "fourteen trillion, two hundred forty-one billion, two hundred thirty-two million, three hundred three thousand, two".

Divisors: 1 2 3 6 9 18 23 46 69 71 97 138 142 194 207 213 291 414 426 582 639 873 1278 1633 1746 2231 3266 4462 4899 6693 6887 9798 13386 13774 14697 20079 20661 29394 40158 41322 61983 123966 158401 316802 475203 950406 1425609 2851218 4994789 9989578 14984367 29968734 44953101 89906202 114880147 229760294 344640441 354630019 484494533 689280882 709260038 968989066 1033921323 1063890057 1453483599 2067842646 2127780114 2906967198 3191670171 4360450797 6383340342 8156490437 8720901594 11143374259 16312980874 22286748518 24469471311 33430122777 34399111843 48938942622 66860245554 68798223686 73408413933 100290368331 103197335529 146816827866 200580736662 206394671058 309592006587 619184013174 791179572389 1582359144778 2373538717167 4747077434334 7120616151501 14241232303002