Base | Representation |
---|---|
bin | 10001001011011… |
… | …00111100011000 |
3 | 101001011002121102 |
4 | 20211230330120 |
5 | 243342214034 |
6 | 22144330532 |
7 | 3366560645 |
oct | 1045547430 |
9 | 331132542 |
10 | 144101144 |
11 | 74383360 |
12 | 40313a48 |
13 | 23b14c65 |
14 | 151d0dcc |
15 | c9b697e |
hex | 896cf18 |
144101144 has 64 divisors (see below), whose sum is σ = 307860480. Its totient is φ = 62640000.
The previous prime is 144101081. The next prime is 144101147. The reversal of 144101144 is 441101441.
It is a happy number.
It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (144101147) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275267 + ... + 275789.
It is an arithmetic number, because the mean of its divisors is an integer number (4810320).
Almost surely, 2144101144 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 144101144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153930240).
144101144 is an abundant number, since it is smaller than the sum of its proper divisors (163759336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144101144 is a wasteful number, since it uses less digits than its factorization.
144101144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 672 (or 668 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 20.
The square root of 144101144 is about 12004.2135935679. The cubic root of 144101144 is about 524.2709687633.
Adding to 144101144 its reverse (441101441), we get a palindrome (585202585).
The spelling of 144101144 in words is "one hundred forty-four million, one hundred one thousand, one hundred forty-four".
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