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14242122124241 = 1110128297453023
BaseRepresentation
bin1100111101000000000010…
…1000010100101111010001
31212102112101222102020221112
43033100000220110233101
53331320331230433431
650142423544303105
72666650030426364
oct317200050245721
955375358366845
1014242122124241
1145a1060714210
121720275a71a95
137c4045b8b79b
143734728c60db
1519a70c2e1c2b
hexcf400a14bd1

14242122124241 has 16 divisors (see below), whose sum is σ = 15691279938048. Its totient is φ = 12818710512000.

The previous prime is 14242122124213. The next prime is 14242122124267.

14242122124241 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 14242122124241 - 230 = 14241048382417 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14242122124198 and 14242122124207.

It is not an unprimeable number, because it can be changed into a prime (14242122124141) 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, 31211456 + ... + 31664478.

It is an arithmetic number, because the mean of its divisors is an integer number (980704996128).

Almost surely, 214242122124241 is an apocalyptic number.

14242122124241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14242122124241 is a deficient number, since it is larger than the sum of its proper divisors (1449157813807).

14242122124241 is a wasteful number, since it uses less digits than its factorization.

14242122124241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481432.

The product of its digits is 16384, while the sum is 32.

It can be divided in two parts, 1424212 and 2124241, that added together give a palindrome (3548453).

The spelling of 14242122124241 in words is "fourteen trillion, two hundred forty-two billion, one hundred twenty-two million, one hundred twenty-four thousand, two hundred forty-one".

Divisors: 1 11 101 1111 28297 311267 453023 2857997 4983253 31437967 45755323 503308553 12819191831 141011110141 1294738374931 14242122124241