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14254244245241 = 71113291014861729
BaseRepresentation
bin1100111101101101001100…
…1010100010111011111001
31212110200200210022210210222
43033123103022202323321
53332020143011321431
650152150455345425
73000556313650130
oct317332312427371
955420623283728
1014254244245241
1145a62112a6130
121722699682275
137c5228410750
14373ca2812917
1519abbb63657b
hexcf6d32a2ef9

14254244245241 has 64 divisors (see below), whose sum is σ = 19994545267200. Its totient is φ = 9801243648000.

The previous prime is 14254244245177. The next prime is 14254244245247.

14254244245241 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14254244245241 - 26 = 14254244245177 is a prime.

It is a super-2 number, since 2×142542442452412 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14254244245192 and 14254244245201.

It is not an unprimeable number, because it can be changed into a prime (14254244245247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 501065 + ... + 5362793.

It is an arithmetic number, because the mean of its divisors is an integer number (312414769800).

Almost surely, 214254244245241 is an apocalyptic number.

14254244245241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14254244245241 is a deficient number, since it is larger than the sum of its proper divisors (5740301021959).

14254244245241 is a wasteful number, since it uses less digits than its factorization.

14254244245241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4861890.

The product of its digits is 1638400, while the sum is 44.

The spelling of 14254244245241 in words is "fourteen trillion, two hundred fifty-four billion, two hundred forty-four million, two hundred forty-five thousand, two hundred forty-one".

Divisors: 1 7 11 13 29 77 91 101 143 203 319 377 707 1001 1111 1313 2233 2639 2929 4147 7777 9191 14443 20503 29029 32219 38077 101101 225533 266539 418847 2931929 4861729 34032103 53479019 63202477 140990141 374353133 442417339 491034629 695227247 986930987 1550891551 1832871833 3437242403 4866590729 5401380919 6383450177 10856240857 12830102831 14240004241 20161590163 37809666433 44684151239 70217951947 99680029687 141131131141 156640046651 185120055133 491525663629 1096480326557 1295840385931 2036320606463 14254244245241