Base | Representation |
---|---|
bin | 10001001011001… |
… | …11111001110100 |
3 | 101001010001021211 |
4 | 20211213321310 |
5 | 243341034000 |
6 | 22144051204 |
7 | 3366443524 |
oct | 1045477164 |
9 | 331101254 |
10 | 144080500 |
11 | 743698a3 |
12 | 40303b04 |
13 | 23b08745 |
14 | 151c7684 |
15 | c9b07ba |
hex | 8967e74 |
144080500 has 48 divisors (see below), whose sum is σ = 320667984. Its totient is φ = 56534400.
The previous prime is 144080429. The next prime is 144080509. The reversal of 144080500 is 5080441.
It can be written as a sum of positive squares in 8 ways, for example, as 28259856 + 115820644 = 5316^2 + 10762^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (144080509) 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, 23782 + ... + 29218.
It is an arithmetic number, because the mean of its divisors is an integer number (6680583).
Almost surely, 2144080500 is an apocalyptic number.
144080500 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 144080500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160333992).
144080500 is an abundant number, since it is smaller than the sum of its proper divisors (176587484).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144080500 is a wasteful number, since it uses less digits than its factorization.
144080500 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5509 (or 5497 counting only the distinct ones).
The product of its (nonzero) digits is 640, while the sum is 22.
The square root of 144080500 is about 12003.3536980296. The cubic root of 144080500 is about 524.2459317963.
The spelling of 144080500 in words is "one hundred forty-four million, eighty thousand, five hundred".
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