Search a number
-
+
14223122132241 = 31117181140072701
BaseRepresentation
bin1100111011111001010000…
…1001000110110100010001
31212100201100211120122210010
43032332110021012310101
53331012423231212431
650130002340425133
72665405140235611
oct316762411066421
955321324518703
1014223122132241
114593aa0713a90
1217186529a81a9
137c2308724879
1437258d350a41
15199e99259846
hexcef94246d11

14223122132241 has 32 divisors (see below), whose sum is σ = 22026152244096. Its totient is φ = 8068187520000.

The previous prime is 14223122132213. The next prime is 14223122132333.

14223122132241 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14223122132241 - 25 = 14223122132209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14223122132199 and 14223122132208.

It is not an unprimeable number, because it can be changed into a prime (14223122132041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69934810 + ... + 70137891.

It is an arithmetic number, because the mean of its divisors is an integer number (688317257628).

Almost surely, 214223122132241 is an apocalyptic number.

14223122132241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14223122132241 is a deficient number, since it is larger than the sum of its proper divisors (7803030111855).

14223122132241 is a wasteful number, since it uses less digits than its factorization.

14223122132241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140072913.

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 1422312 and 2132241, that added together give a palindrome (3554553).

The spelling of 14223122132241 in words is "fourteen trillion, two hundred twenty-three billion, one hundred twenty-two million, one hundred thirty-two thousand, two hundred forty-one".

Divisors: 1 3 11 17 33 51 181 187 543 561 1991 3077 5973 9231 33847 101541 140072701 420218103 1540799711 2381235917 4622399133 7143707751 25353158881 26193595087 76059476643 78580785261 278884747691 431003700977 836654243073 1293011102931 4741040710747 14223122132241