Base | Representation |
---|---|
bin | 110101101101… |
… | …100010010000 |
3 | 222111100022211 |
4 | 311231202100 |
5 | 12101031034 |
6 | 1221441504 |
7 | 230451661 |
oct | 65554220 |
9 | 28440284 |
10 | 14080144 |
11 | 7a47691 |
12 | 4870294 |
13 | 2bbca60 |
14 | 1c27368 |
15 | 1381d64 |
hex | d6d890 |
14080144 has 40 divisors (see below), whose sum is σ = 29650880. Its totient is φ = 6438528.
The previous prime is 14080141. The next prime is 14080147. The reversal of 14080144 is 44108041.
It is an interprime number because it is at equal distance from previous prime (14080141) and next prime (14080147).
It is a nialpdrome in base 8.
It is a zygodrome in base 3.
It is not an unprimeable number, because it can be changed into a prime (14080141) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28669 + ... + 29155.
It is an arithmetic number, because the mean of its divisors is an integer number (741272).
Almost surely, 214080144 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 14080144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14825440).
14080144 is an abundant number, since it is smaller than the sum of its proper divisors (15570736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14080144 is a wasteful number, since it uses less digits than its factorization.
14080144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 647 (or 641 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 22.
The square root of 14080144 is about 3752.3517958742. The cubic root of 14080144 is about 241.4732526706.
Adding to 14080144 its reverse (44108041), we get a palindrome (58188185).
The spelling of 14080144 in words is "fourteen million, eighty thousand, one hundred forty-four".
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