Base | Representation |
---|---|
bin | 10001001100101… |
… | …11000101010000 |
3 | 101001110212101000 |
4 | 20212113011100 |
5 | 243413224434 |
6 | 22152142000 |
7 | 3401210106 |
oct | 1046270520 |
9 | 331425330 |
10 | 144273744 |
11 | 74490aaa |
12 | 40397900 |
13 | 23b756a4 |
14 | 15237c76 |
15 | c9ecb99 |
hex | 8997150 |
144273744 has 80 divisors (see below), whose sum is σ = 415767040. Its totient is φ = 47900160.
The previous prime is 144273743. The next prime is 144273749. The reversal of 144273744 is 447372441.
It is a happy number.
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 = 144273699 and 144273708.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (144273743) 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 15 ways as a sum of consecutive naturals, for example, 145089 + ... + 146079.
It is an arithmetic number, because the mean of its divisors is an integer number (5197088).
Almost surely, 2144273744 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 144273744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207883520).
144273744 is an abundant number, since it is smaller than the sum of its proper divisors (271493296).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144273744 is a wasteful number, since it uses less digits than its factorization.
144273744 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1345 (or 1333 counting only the distinct ones).
The product of its digits is 75264, while the sum is 36.
The square root of 144273744 is about 12011.4005844448. The cubic root of 144273744 is about 524.4802038934.
The spelling of 144273744 in words is "one hundred forty-four million, two hundred seventy-three thousand, seven hundred forty-four".
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