Base | Representation |
---|---|
bin | 100000110101111100010001… |
… | …000111000101100101100100 |
3 | 200221102202001212100211102011 |
4 | 200311330101013011211210 |
5 | 122413033443020433330 |
6 | 1231112450554124004 |
7 | 42265521130510432 |
oct | 4065742107054544 |
9 | 627382055324364 |
10 | 144444332202340 |
11 | 4202a551965a65 |
12 | 1424a342720604 |
13 | 627a0715b2751 |
14 | 27952004a7d52 |
15 | 11a74ddd6c82a |
hex | 835f111c5964 |
144444332202340 has 48 divisors (see below), whose sum is σ = 321446344045680. Its totient is φ = 54424777809920.
The previous prime is 144444332202323. The next prime is 144444332202341. The reversal of 144444332202340 is 43202233444441.
144444332202340 is digitally balanced in base 3, 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 8 ways, for example, as 32553506202624 + 111890825999716 = 5705568^2 + 10577846^2 .
It is a junction number, because it is equal to n+sod(n) for n = 144444332202293 and 144444332202302.
It is not an unprimeable number, because it can be changed into a prime (144444332202341) 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, 3037073197 + ... + 3037120756.
It is an arithmetic number, because the mean of its divisors is an integer number (6696798834285).
Almost surely, 2144444332202340 is an apocalyptic number.
144444332202340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
144444332202340 is an abundant number, since it is smaller than the sum of its proper divisors (177002011843340).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144444332202340 is a wasteful number, since it uses less digits than its factorization.
144444332202340 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6074194032 (or 6074194030 counting only the distinct ones).
The product of its (nonzero) digits is 884736, while the sum is 40.
Adding to 144444332202340 its reverse (43202233444441), we get a palindrome (187646565646781).
The spelling of 144444332202340 in words is "one hundred forty-four trillion, four hundred forty-four billion, three hundred thirty-two million, two hundred two thousand, three hundred forty".
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