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14226433462241 = 7111314212221241
BaseRepresentation
bin1100111100000101100110…
…0000110100111111100001
31212101000220121102122120222
43033001121200310333201
53331041213431242431
650131311110012425
72665553166130130
oct317013140647741
955330817378528
1014226433462241
11459543a897250
121719217947115
137c2715772c30
143727c5039917
1519a0dece957b
hexcf059834fe1

14226433462241 has 16 divisors (see below), whose sum is σ = 19101225349248. Its totient is φ = 10232799292800.

The previous prime is 14226433462237. The next prime is 14226433462253.

14226433462241 is nontrivially palindromic in base 10.

14226433462241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14226433462241 - 22 = 14226433462237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14226433462192 and 14226433462201.

It is not an unprimeable number, because it can be changed into a prime (14226433465241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7106109620 + ... + 7106111621.

It is an arithmetic number, because the mean of its divisors is an integer number (1193826584328).

Almost surely, 214226433462241 is an apocalyptic number.

14226433462241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14226433462241 is a deficient number, since it is larger than the sum of its proper divisors (4874791887007).

14226433462241 is a wasteful number, since it uses less digits than its factorization.

14226433462241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14212221272.

The product of its digits is 1327104, while the sum is 44.

It can be divided in two parts, 1422643 and 3462241, that added together give a palindrome (4884884).

The spelling of 14226433462241 in words is "fourteen trillion, two hundred twenty-six billion, four hundred thirty-three million, four hundred sixty-two thousand, two hundred forty-one".

Divisors: 1 7 11 13 77 91 143 1001 14212221241 99485548687 156334433651 184758876133 1094341035557 1293312132931 2032347637463 14226433462241