Base | Representation |
---|---|
bin | 10001001011101… |
… | …10100010000000 |
3 | 101001020002110221 |
4 | 20211312202000 |
5 | 243344443131 |
6 | 22145232424 |
7 | 3400113310 |
oct | 1045664200 |
9 | 331202427 |
10 | 144140416 |
11 | 743aa912 |
12 | 40332714 |
13 | 23b29ab4 |
14 | 15201440 |
15 | c9c3411 |
hex | 8976880 |
144140416 has 64 divisors (see below), whose sum is σ = 347518080. Its totient is φ = 58134528.
The previous prime is 144140407. The next prime is 144140453. The reversal of 144140416 is 614041441.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (64).
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10501 + ... + 19963.
It is an arithmetic number, because the mean of its divisors is an integer number (5429970).
Almost surely, 2144140416 is an apocalyptic number.
144140416 is a gapful number since it is divisible by the number (16) 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 144140416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173759040).
144140416 is an abundant number, since it is smaller than the sum of its proper divisors (203377664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144140416 is an equidigital number, since it uses as much as digits as its factorization.
144140416 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9501 (or 9489 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 25.
The square root of 144140416 is about 12005.8492410991. The cubic root of 144140416 is about 524.3185910995.
Adding to 144140416 its reverse (614041441), we get a palindrome (758181857).
The spelling of 144140416 in words is "one hundred forty-four million, one hundred forty thousand, four hundred sixteen".
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