Base | Representation |
---|---|
bin | 11010111000011011… |
… | …10011001110010000 |
3 | 1101020210101202022200 |
4 | 31130031303032100 |
5 | 214024044222230 |
6 | 10344024203200 |
7 | 1020432114042 |
oct | 153415631620 |
9 | 41223352280 |
10 | 14432023440 |
11 | 61365568aa |
12 | 2969309500 |
13 | 148cc83453 |
14 | 9aca15a92 |
15 | 597020160 |
hex | 35c373390 |
14432023440 has 240 divisors, whose sum is σ = 50712075648. Its totient is φ = 3671230464.
The previous prime is 14432023409. The next prime is 14432023447. The reversal of 14432023440 is 4432023441.
It is a happy number.
14432023440 is a `hidden beast` number, since 14 + 4 + 3 + 202 + 3 + 440 = 666.
14432023440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (240).
It is not an unprimeable number, because it can be changed into a prime (14432023447) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7566967 + ... + 7568873.
Almost surely, 214432023440 is an apocalyptic number.
14432023440 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 14432023440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25356037824).
14432023440 is an abundant number, since it is smaller than the sum of its proper divisors (36280052208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14432023440 is a wasteful number, since it uses less digits than its factorization.
14432023440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2406 (or 2397 counting only the distinct ones).
The product of its (nonzero) digits is 9216, while the sum is 27.
Adding to 14432023440 its reverse (4432023441), we get a palindrome (18864046881).
Subtracting from 14432023440 its reverse (4432023441), we obtain a palindrome (9999999999).
The spelling of 14432023440 in words is "fourteen billion, four hundred thirty-two million, twenty-three thousand, four hundred forty".
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