Base | Representation |
---|---|
bin | 100000110101111001010111… |
… | …110110010100010100110100 |
3 | 200221102110001020202212120212 |
4 | 200311321113312110110310 |
5 | 122413011111322140200 |
6 | 1231111214323044552 |
7 | 42265351116430223 |
oct | 4065712766242464 |
9 | 627373036685525 |
10 | 144441224021300 |
11 | 420291a74265a8 |
12 | 14249815810758 |
13 | 6279997681a7b |
14 | 2794dc7780cba |
15 | 11a73ab05a035 |
hex | 835e57d94534 |
144441224021300 has 72 divisors (see below), whose sum is σ = 317369421432000. Its totient is φ = 57052386334720.
The previous prime is 144441224021123. The next prime is 144441224021321. The reversal of 144441224021300 is 3120422144441.
144441224021300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12656276 + ... + 21191124.
It is an arithmetic number, because the mean of its divisors is an integer number (4407908631000).
Almost surely, 2144441224021300 is an apocalyptic number.
144441224021300 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 144441224021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158684710716000).
144441224021300 is an abundant number, since it is smaller than the sum of its proper divisors (172928197410700).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144441224021300 is a wasteful number, since it uses less digits than its factorization.
144441224021300 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8536985 (or 8536978 counting only the distinct ones).
The product of its (nonzero) digits is 24576, while the sum is 32.
Adding to 144441224021300 its reverse (3120422144441), we get a palindrome (147561646165741).
The spelling of 144441224021300 in words is "one hundred forty-four trillion, four hundred forty-one billion, two hundred twenty-four million, twenty-one thousand, three hundred".
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