Base | Representation |
---|---|
bin | 10001001101111… |
… | …11101101100000 |
3 | 101001210022122120 |
4 | 20212333231200 |
5 | 243434041120 |
6 | 22155504240 |
7 | 3402502224 |
oct | 1046775540 |
9 | 331708576 |
10 | 144440160 |
11 | 74595037 |
12 | 40458080 |
13 | 23c03367 |
14 | 1527c784 |
15 | ca32140 |
hex | 89bfb60 |
144440160 has 192 divisors, whose sum is σ = 498161664. Its totient is φ = 35020800.
The previous prime is 144440159. The next prime is 144440173. The reversal of 144440160 is 61044441.
144440160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 144440160.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252675 + ... + 253245.
It is an arithmetic number, because the mean of its divisors is an integer number (2594592).
Almost surely, 2144440160 is an apocalyptic number.
144440160 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 144440160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249080832).
144440160 is an abundant number, since it is smaller than the sum of its proper divisors (353721504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144440160 is a wasteful number, since it uses less digits than its factorization.
144440160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 637 (or 629 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 24.
The square root of 144440160 is about 12018.3260065618. The cubic root of 144440160 is about 524.6817844849.
The spelling of 144440160 in words is "one hundred forty-four million, four hundred forty thousand, one hundred sixty".
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