Base | Representation |
---|---|
bin | 10001010000000… |
… | …11111100011000 |
3 | 101002022112000200 |
4 | 20220003330120 |
5 | 244022012030 |
6 | 22205502200 |
7 | 3405045102 |
oct | 1050037430 |
9 | 332275020 |
10 | 144719640 |
11 | 7476600a |
12 | 40571960 |
13 | 23ca0630 |
14 | 15312572 |
15 | ca89d60 |
hex | 8a03f18 |
144719640 has 288 divisors, whose sum is σ = 543095280. Its totient is φ = 33214464.
The previous prime is 144719609. The next prime is 144719647. The reversal of 144719640 is 46917441.
144719640 is a `hidden beast` number, since 1 + 4 + 4 + 7 + 1 + 9 + 640 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 144719595 and 144719604.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (144719647) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1352467 + ... + 1352573.
Almost surely, 2144719640 is an apocalyptic number.
144719640 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 144719640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271547640).
144719640 is an abundant number, since it is smaller than the sum of its proper divisors (398375640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144719640 is a wasteful number, since it uses less digits than its factorization.
144719640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 171 (or 147 counting only the distinct ones).
The product of its (nonzero) digits is 24192, while the sum is 36.
The square root of 144719640 is about 12029.9476308087. The cubic root of 144719640 is about 525.0199720293.
The spelling of 144719640 in words is "one hundred forty-four million, seven hundred nineteen thousand, six hundred forty".
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