Base | Representation |
---|---|
bin | 100000110101111001011000… |
… | …011100111000100111110001 |
3 | 200221102110001221210112002112 |
4 | 200311321120130320213301 |
5 | 122413011121414201231 |
6 | 1231111215323455105 |
7 | 42265351301365652 |
oct | 4065713034704761 |
9 | 627373057715075 |
10 | 144441234131441 |
11 | 42029202101495 |
12 | 14249819087495 |
13 | 62799997b17c0 |
14 | 2794dc8c53529 |
15 | 11a73abda592b |
hex | 835e587389f1 |
144441234131441 has 24 divisors (see below), whose sum is σ = 162761760101304. Its totient is φ = 127405628098560.
The previous prime is 144441234131387. The next prime is 144441234131443. The reversal of 144441234131441 is 144131432144441.
It is a happy number.
144441234131441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 12 ways, for example, as 15870694310416 + 128570539821025 = 3983804^2 + 11338895^2 .
It is not a de Polignac number, because 144441234131441 - 238 = 144166356224497 is a prime.
It is not an unprimeable number, because it can be changed into a prime (144441234131443) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67039970 + ... + 69160971.
It is an arithmetic number, because the mean of its divisors is an integer number (6781740004221).
Almost surely, 2144441234131441 is an apocalyptic number.
It is an amenable number.
144441234131441 is a deficient number, since it is larger than the sum of its proper divisors (18320525969863).
144441234131441 is a wasteful number, since it uses less digits than its factorization.
144441234131441 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 136201109 (or 136201080 counting only the distinct ones).
The product of its digits is 294912, while the sum is 41.
Adding to 144441234131441 its reverse (144131432144441), we get a palindrome (288572666275882).
The spelling of 144441234131441 in words is "one hundred forty-four trillion, four hundred forty-one billion, two hundred thirty-four million, one hundred thirty-one thousand, four hundred forty-one".
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