Base | Representation |
---|---|
bin | 10001010000000… |
… | …11110000000000 |
3 | 101002022110221100 |
4 | 20220003300000 |
5 | 244022000343 |
6 | 22205454400 |
7 | 3405042561 |
oct | 1050036000 |
9 | 332273840 |
10 | 144718848 |
11 | 7476545a |
12 | 40571400 |
13 | 23ca0171 |
14 | 15312168 |
15 | ca899d3 |
hex | 8a03c00 |
144718848 has 132 divisors (see below), whose sum is σ = 429182208. Its totient is φ = 46940160.
The previous prime is 144718843. The next prime is 144718897. The reversal of 144718848 is 848817441.
It is a happy number.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (144718843) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 377665 + ... + 378047.
Almost surely, 2144718848 is an apocalyptic number.
144718848 is a gapful number since it is divisible by the number (18) 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 144718848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214591104).
144718848 is an abundant number, since it is smaller than the sum of its proper divisors (284463360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144718848 is a wasteful number, since it uses less digits than its factorization.
144718848 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 450 (or 429 counting only the distinct ones).
The product of its digits is 229376, while the sum is 45.
The square root of 144718848 is about 12029.9147129146. The cubic root of 144718848 is about 525.0190142773.
The spelling of 144718848 in words is "one hundred forty-four million, seven hundred eighteen thousand, eight hundred forty-eight".
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