Search a number
-
+
144315 = 3351069
BaseRepresentation
bin100011001110111011
321022222000
4203032323
514104230
63032043
71140513
oct431673
9238860
10144315
1199476
126b623
13508c2
143a843
152cb60
hex233bb

144315 has 16 divisors (see below), whose sum is σ = 256800. Its totient is φ = 76896.

The previous prime is 144311. The next prime is 144323. The reversal of 144315 is 513441.

It is a happy number.

It is not a de Polignac number, because 144315 - 22 = 144311 is a prime.

144315 is a lucky number.

It is a plaindrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 144315.

It is not an unprimeable number, because it can be changed into a prime (144311) 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 15 ways as a sum of consecutive naturals, for example, 400 + ... + 669.

It is an arithmetic number, because the mean of its divisors is an integer number (16050).

2144315 is an apocalyptic number.

144315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

144315 is a deficient number, since it is larger than the sum of its proper divisors (112485).

144315 is a wasteful number, since it uses less digits than its factorization.

144315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1077 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 144315 is about 379.8881414311. Note that the first 3 decimals coincide. The cubic root of 144315 is about 52.4530191952.

Adding to 144315 its reverse (513441), we get a palindrome (657756).

The spelling of 144315 in words is "one hundred forty-four thousand, three hundred fifteen".

Divisors: 1 3 5 9 15 27 45 135 1069 3207 5345 9621 16035 28863 48105 144315