Search a number
-
+
144131320323 = 3349311082579
BaseRepresentation
bin1000011000111011100…
…1010110101000000011
3111210000202111200211000
42012032321112220003
54330140104222243
6150114002223043
713261465002654
oct2061671265003
9453022450730
10144131320323
1156142411261
1223b25354a83
131078c772133
146d941a752b
153b387865d3
hex218ee56a03

144131320323 has 16 divisors (see below), whose sum is σ = 213571382400. Its totient is φ = 96067971720.

The previous prime is 144131320313. The next prime is 144131320331. The reversal of 144131320323 is 323023131441.

It is a happy number.

144131320323 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 313 + 20 + 323 = 666.

It is not a de Polignac number, because 144131320323 - 218 = 144131058179 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (144131320313) 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 15 ways as a sum of consecutive naturals, for example, 408153 + ... + 674426.

It is an arithmetic number, because the mean of its divisors is an integer number (13348211400).

Almost surely, 2144131320323 is an apocalyptic number.

144131320323 is a deficient number, since it is larger than the sum of its proper divisors (69440062077).

144131320323 is a wasteful number, since it uses less digits than its factorization.

144131320323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087519 (or 1087513 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 144131320323 its reverse (323023131441), we get a palindrome (467154451764).

The spelling of 144131320323 in words is "one hundred forty-four billion, one hundred thirty-one million, three hundred twenty thousand, three hundred twenty-three".

Divisors: 1 3 9 27 4931 14793 44379 133137 1082579 3247737 9743211 29229633 5338197049 16014591147 48043773441 144131320323