Base | Representation |
---|---|
bin | 10001001010101… |
… | …00011111101100 |
3 | 101000222000020112 |
4 | 20211110133230 |
5 | 243331013004 |
6 | 22142235152 |
7 | 3365663000 |
oct | 1045243754 |
9 | 330860215 |
10 | 144001004 |
11 | 743150a4 |
12 | 40285ab8 |
13 | 23aab4c4 |
14 | 151a6700 |
15 | c996e6e |
hex | 89547ec |
144001004 has 48 divisors (see below), whose sum is σ = 297024000. Its totient is φ = 61055568.
The previous prime is 144001001. The next prime is 144001009. The reversal of 144001004 is 400100441.
144001004 is digitally balanced in base 2, 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 (14).
It is a self number, because there is not a number n which added to its sum of digits gives 144001004.
It is not an unprimeable number, because it can be changed into a prime (144001001) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140807 + ... + 141825.
It is an arithmetic number, because the mean of its divisors is an integer number (6188000).
Almost surely, 2144001004 is an apocalyptic number.
144001004 is a gapful number since it is divisible by the number (14) 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 144001004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148512000).
144001004 is an abundant number, since it is smaller than the sum of its proper divisors (153022996).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144001004 is a wasteful number, since it uses less digits than its factorization.
144001004 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1147 (or 1131 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 14.
The square root of 144001004 is about 12000.0418332604. The cubic root of 144001004 is about 524.1494969984.
Adding to 144001004 its reverse (400100441), we get a palindrome (544101445).
The spelling of 144001004 in words is "one hundred forty-four million, one thousand, four".
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