Base | Representation |
---|---|
bin | 101011000010001… |
… | …1011000100000000 |
3 | 10201122010210121111 |
4 | 1112010123010000 |
5 | 10424131000000 |
6 | 355141533104 |
7 | 50532540352 |
oct | 12604330400 |
9 | 3648123544 |
10 | 1444000000 |
11 | 681111633 |
12 | 343714194 |
13 | 1a0215b91 |
14 | d9ac70d2 |
15 | 86b86cba |
hex | 5611b100 |
1444000000 has 189 divisors, whose sum is σ = 3802509921. Its totient is φ = 547200000.
The previous prime is 1443999983. The next prime is 1444000003. The reversal of 1444000000 is 4441.
It is a happy number.
The square root of 1444000000 is 38000.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 3 ways, for example, as 1265082624 + 178917376 = 35568^2 + 13376^2 .
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (1444000003) by changing a digit.
It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 75999991 + ... + 76000009.
Almost surely, 21444000000 is an apocalyptic number.
1444000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
1444000000 is the 38000-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1444000000
1444000000 is an abundant number, since it is smaller than the sum of its proper divisors (2358509921).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1444000000 is an frugal number, since it uses more digits than its factorization.
1444000000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 84 (or 26 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 13.
The cubic root of 1444000000 is about 1130.2878635921.
Multiplying 1444000000 by its product of nonzero digits (64), we get a square (92416000000 = 3040002).
1444000000 divided by its product of nonzero digits (64) gives a square (22562500 = 47502).
Adding to 1444000000 its reverse (4441), we get a palindrome (1444004441).
It can be divided in two parts, 144 and 4000000, that multiplied together give a square (576000000 = 240002).
The spelling of 1444000000 in words is "one billion, four hundred forty-four million", and thus it is an aban number.
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