Base | Representation |
---|---|
bin | 10001001101000… |
… | …10110111100100 |
3 | 101001120022121000 |
4 | 20212202313210 |
5 | 243421301040 |
6 | 22153153300 |
7 | 3401500623 |
oct | 1046426744 |
9 | 331508530 |
10 | 144322020 |
11 | 745142a7 |
12 | 403bb830 |
13 | 23b9165b |
14 | 1524b6ba |
15 | ca0c130 |
hex | 89a2de4 |
144322020 has 96 divisors (see below), whose sum is σ = 455817600. Its totient is φ = 37901952.
The previous prime is 144322001. The next prime is 144322037. The reversal of 144322020 is 20223441.
144322020 is a `hidden beast` number, since 1 + 443 + 220 + 2 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 144321984 and 144322002.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34186 + ... + 38174.
It is an arithmetic number, because the mean of its divisors is an integer number (4748100).
Almost surely, 2144322020 is an apocalyptic number.
144322020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 144322020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227908800).
144322020 is an abundant number, since it is smaller than the sum of its proper divisors (311495580).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144322020 is a wasteful number, since it uses less digits than its factorization.
144322020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4074 (or 4066 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 144322020 is about 12013.4100071545. The cubic root of 144322020 is about 524.5386968250.
Adding to 144322020 its reverse (20223441), we get a palindrome (164545461).
The spelling of 144322020 in words is "one hundred forty-four million, three hundred twenty-two thousand, twenty".
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