Base | Representation |
---|---|
bin | 1100110110000100101001… |
… | …0111011101001100101101 |
3 | 1212000011012010112121001220 |
4 | 3031201022113131030231 |
5 | 3322343102113212031 |
6 | 50012021310053553 |
7 | 2655234405251100 |
oct | 315411227351455 |
9 | 55004163477056 |
10 | 14123100132141 |
11 | 4555633921990 |
12 | 17011997aa2b9 |
13 | 7b5a584b1520 |
14 | 36b7c1404737 |
15 | 197593126596 |
hex | cd84a5dd32d |
14123100132141 has 96 divisors (see below), whose sum is σ = 25817560344576. Its totient is φ = 6750536688000.
The previous prime is 14123100132107. The next prime is 14123100132179.
14123100132141 is nontrivially palindromic in base 10.
It is not a de Polignac number, because 14123100132141 - 219 = 14123099607853 is a prime.
It is a super-2 number, since 2×141231001321412 (a number of 27 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (14123100112141) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5457376 + ... + 7617686.
It is an arithmetic number, because the mean of its divisors is an integer number (268932920256).
Almost surely, 214123100132141 is an apocalyptic number.
14123100132141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
It is an amenable number.
14123100132141 is a deficient number, since it is larger than the sum of its proper divisors (11694460212435).
14123100132141 is a wasteful number, since it uses less digits than its factorization.
14123100132141 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2160663 (or 2160656 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 24.
It can be divided in two parts, 14123100 and 132141, that added together give a palindrome (14255241).
The spelling of 14123100132141 in words is "fourteen trillion, one hundred twenty-three billion, one hundred million, one hundred thirty-two thousand, one hundred forty-one".
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