Search a number
-
+
144003314142 = 23259135596341
BaseRepresentation
bin1000011000011101000…
…1000011000111011110
3111202200211122022100100
42012013101003013132
54324404322023032
6150053150441530
713255351655052
oct2060721030736
9452624568310
10144003314142
1156087131326
1223aaa5032a6
131076c0a402c
146d811a5c62
153b2c3ed97c
hex21874431de

144003314142 has 24 divisors (see below), whose sum is σ = 317295440280. Its totient is φ = 47187526320.

The previous prime is 144003314129. The next prime is 144003314149. The reversal of 144003314142 is 241413300441.

144003314142 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144003314149) 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 11 ways as a sum of consecutive naturals, for example, 67797109 + ... + 67799232.

It is an arithmetic number, because the mean of its divisors is an integer number (13220643345).

Almost surely, 2144003314142 is an apocalyptic number.

144003314142 is an abundant number, since it is smaller than the sum of its proper divisors (173292126138).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144003314142 is a wasteful number, since it uses less digits than its factorization.

144003314142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135596408 (or 135596405 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 144003314142 its reverse (241413300441), we get a palindrome (385416614583).

The spelling of 144003314142 in words is "one hundred forty-four billion, three million, three hundred fourteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 59 118 177 354 531 1062 135596341 271192682 406789023 813578046 1220367069 2440734138 8000184119 16000368238 24000552357 48001104714 72001657071 144003314142