Base | Representation |
---|---|
bin | 11011111111111111001100… |
… | …001001010100110110110001 |
3 | 121011000111022012222102010100 |
4 | 123333333030021110312301 |
5 | 112120044244134343101 |
6 | 1113523434330423013 |
7 | 34636614555112623 |
oct | 3377771411246661 |
9 | 534014265872110 |
10 | 123144432340401 |
11 | 36268295761a6a |
12 | 1198a271291a69 |
13 | 5393615b95b94 |
14 | 225a3180cac13 |
15 | e38408c91e86 |
hex | 6fffcc254db1 |
123144432340401 has 12 divisors (see below), whose sum is σ = 177918749626228. Its totient is φ = 82076230472544.
The previous prime is 123144432340343. The next prime is 123144432340469. The reversal of 123144432340401 is 104043234441321.
123144432340401 is a `hidden beast` number, since 1 + 2 + 3 + 14 + 4 + 4 + 3 + 234 + 0 + 401 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 98027345567376 + 25117086773025 = 9900876^2 + 5011695^2 .
It is not a de Polignac number, because 123144432340401 - 26 = 123144432340337 is a prime.
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (123144432340481) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (29) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1671440650 + ... + 1671514323.
Almost surely, 2123144432340401 is an apocalyptic number.
It is an amenable number.
123144432340401 is a deficient number, since it is larger than the sum of its proper divisors (54774317285827).
123144432340401 is a wasteful number, since it uses less digits than its factorization.
123144432340401 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3342959072 (or 3342959069 counting only the distinct ones).
The product of its (nonzero) digits is 110592, while the sum is 36.
Adding to 123144432340401 its reverse (104043234441321), we get a palindrome (227187666781722).
The spelling of 123144432340401 in words is "one hundred twenty-three trillion, one hundred forty-four billion, four hundred thirty-two million, three hundred forty thousand, four hundred one".
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