Base | Representation |
---|---|
bin | 101011000011001… |
… | …1011001111001000 |
3 | 10201200010110202221 |
4 | 1112012123033020 |
5 | 10424244300000 |
6 | 355201103424 |
7 | 50540155102 |
oct | 12606331710 |
9 | 3650113687 |
10 | 1444525000 |
11 | 681440016 |
12 | 343927b74 |
13 | 1a036ab29 |
14 | d9bc2572 |
15 | 86c3c61a |
hex | 5619b3c8 |
1444525000 has 48 divisors (see below), whose sum is σ = 3385447380. Its totient is φ = 577800000.
The previous prime is 1444524979. The next prime is 1444525001. The reversal of 1444525000 is 5254441.
It is a happy number.
1444525000 is digitally balanced in base 6, 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 6 ways, for example, as 53085796 + 1391439204 = 7286^2 + 37302^2 .
It is a Harshad number since it is a multiple of its sum of digits (25).
It is not an unprimeable number, because it can be changed into a prime (1444525001) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3891 + ... + 53890.
Almost surely, 21444525000 is an apocalyptic number.
1444525000 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 1444525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692723690).
1444525000 is an abundant number, since it is smaller than the sum of its proper divisors (1940922380).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1444525000 is an frugal number, since it uses more digits than its factorization.
1444525000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 57812 (or 57788 counting only the distinct ones).
The product of its (nonzero) digits is 3200, while the sum is 25.
The square root of 1444525000 is about 38006.9072669693. The cubic root of 1444525000 is about 1130.4248278645.
Adding to 1444525000 its reverse (5254441), we get a palindrome (1449779441).
The spelling of 1444525000 in words is "one billion, four hundred forty-four million, five hundred twenty-five thousand".
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