Base | Representation |
---|---|
bin | 10001001101001… |
… | …11010111000000 |
3 | 101001121020211100 |
4 | 20212213113000 |
5 | 243422343131 |
6 | 22153414400 |
7 | 3401605353 |
oct | 1046472700 |
9 | 331536740 |
10 | 144340416 |
11 | 74527100 |
12 | 4040a400 |
13 | 23b99b3c |
14 | 1525429a |
15 | ca127e6 |
hex | 89a75c0 |
144340416 has 252 divisors, whose sum is σ = 483082600. Its totient is φ = 41057280.
The previous prime is 144340411. The next prime is 144340429. The reversal of 144340416 is 614043441.
It is a super-3 number, since 3×1443404163 (a number of 25 digits) contains 333 as substring.
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a self number, because there is not a number n which added to its sum of digits gives 144340416.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (144340411) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1324170 + ... + 1324278.
Almost surely, 2144340416 is an apocalyptic number.
144340416 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 144340416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241541300).
144340416 is an abundant number, since it is smaller than the sum of its proper divisors (338742184).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144340416 is a wasteful number, since it uses less digits than its factorization.
144340416 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 168 (or 144 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
The square root of 144340416 is about 12014.1756271498. The cubic root of 144340416 is about 524.5609826456.
Adding to 144340416 its reverse (614043441), we get a palindrome (758383857).
The spelling of 144340416 in words is "one hundred forty-four million, three hundred forty thousand, four hundred sixteen".
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