Base | Representation |
---|---|
bin | 10001001101100… |
… | …11101111010000 |
3 | 101001200211101021 |
4 | 20212303233100 |
5 | 243431003440 |
6 | 22154445224 |
7 | 3402206236 |
oct | 1046635720 |
9 | 331624337 |
10 | 144391120 |
11 | 74561205 |
12 | 40433814 |
13 | 23bb6c43 |
14 | 15268956 |
15 | ca2284a |
hex | 89b3bd0 |
144391120 has 40 divisors (see below), whose sum is σ = 336726216. Its totient is φ = 57581568.
The previous prime is 144391109. The next prime is 144391123. The reversal of 144391120 is 21193441.
It is a happy number.
144391120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 678976 + 143712144 = 824^2 + 11988^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (144391123) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25684 + ... + 30796.
Almost surely, 2144391120 is an apocalyptic number.
144391120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
144391120 is an abundant number, since it is smaller than the sum of its proper divisors (192335096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144391120 is a wasteful number, since it uses less digits than its factorization.
144391120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5479 (or 5473 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 25.
The square root of 144391120 is about 12016.2856157799. The cubic root of 144391120 is about 524.6223981683.
The spelling of 144391120 in words is "one hundred forty-four million, three hundred ninety-one thousand, one hundred twenty".
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