Base | Representation |
---|---|
bin | 100000110101111101111010… |
… | …100100111110010010011001 |
3 | 200221102220122011212210122210 |
4 | 200311331322210332102121 |
5 | 122413101104010110231 |
6 | 1231113342323305333 |
7 | 42265613024513652 |
oct | 4065757244762231 |
9 | 627386564783583 |
10 | 144446101644441 |
11 | 4203027a749003 |
12 | 1424a75721b249 |
13 | 627a2940638cc |
14 | 279532b4a8529 |
15 | 11a759438ba46 |
hex | 835f7a93e499 |
144446101644441 has 64 divisors (see below), whose sum is σ = 208989712056320. Its totient is φ = 88431807594240.
The previous prime is 144446101644431. The next prime is 144446101644469.
144446101644441 is nontrivially palindromic in base 10.
It is not a de Polignac number, because 144446101644441 - 235 = 144411741906073 is a prime.
It is not an unprimeable number, because it can be changed into a prime (144446101644431) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 766942815 + ... + 767131131.
It is an arithmetic number, because the mean of its divisors is an integer number (3265464250880).
Almost surely, 2144446101644441 is an apocalyptic number.
It is an amenable number.
144446101644441 is a deficient number, since it is larger than the sum of its proper divisors (64543610411879).
144446101644441 is a wasteful number, since it uses less digits than its factorization.
144446101644441 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 189734.
The product of its (nonzero) digits is 2359296, while the sum is 48.
The spelling of 144446101644441 in words is "one hundred forty-four trillion, four hundred forty-six billion, one hundred one million, six hundred forty-four thousand, four hundred forty-one".
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