Base | Representation |
---|---|
bin | 10001001100010… |
… | …00101110101100 |
3 | 101001100212201200 |
4 | 20212020232230 |
5 | 243404334311 |
6 | 22151005500 |
7 | 3400543524 |
oct | 1046105654 |
9 | 331325650 |
10 | 144214956 |
11 | 74450916 |
12 | 40369890 |
13 | 23b549c2 |
14 | 15220684 |
15 | c9da556 |
hex | 8988bac |
144214956 has 18 divisors (see below), whose sum is σ = 364543452. Its totient is φ = 48071640.
The previous prime is 144214951. The next prime is 144214979. The reversal of 144214956 is 659412441.
144214956 is a `hidden beast` number, since 144 + 21 + 495 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (18).
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 4005971 = 144214956 / (1 + 4 + 4 + 2 + 1 + 4 + 9 + 5 + 6).
It is a self number, because there is not a number n which added to its sum of digits gives 144214956.
It is not an unprimeable number, because it can be changed into a prime (144214951) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2002950 + ... + 2003021.
It is an arithmetic number, because the mean of its divisors is an integer number (20252414).
Almost surely, 2144214956 is an apocalyptic number.
It is an amenable number.
144214956 is an abundant number, since it is smaller than the sum of its proper divisors (220328496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144214956 is a wasteful number, since it uses less digits than its factorization.
144214956 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4005981 (or 4005976 counting only the distinct ones).
The product of its digits is 34560, while the sum is 36.
The square root of 144214956 is about 12008.9531600386. The cubic root of 144214956 is about 524.4089566236.
The spelling of 144214956 in words is "one hundred forty-four million, two hundred fourteen thousand, nine hundred fifty-six".
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