Search a number
-
+
144585441 = 327112131459
BaseRepresentation
bin10001001111000…
…11001011100001
3101002001200221100
420213203023201
5244003213231
622202545013
73403645620
oct1047431341
9332050840
10144585441
1174684200
1240508169
1323c54520
14152b96b7
15ca601e6
hex89e32e1

144585441 has 72 divisors (see below), whose sum is σ = 282726080. Its totient is φ = 69284160.

The previous prime is 144585409. The next prime is 144585443.

144585441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 144585441 - 25 = 144585409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144585396 and 144585405.

It is not an unprimeable number, because it can be changed into a prime (144585443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 98370 + ... + 99828.

Almost surely, 2144585441 is an apocalyptic number.

144585441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144585441 is a deficient number, since it is larger than the sum of its proper divisors (138140639).

144585441 is a wasteful number, since it uses less digits than its factorization.

144585441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1493 counting only the distinct ones).

The product of its digits is 51200, while the sum is 36.

The square root of 144585441 is about 12024.3686320738. The cubic root of 144585441 is about 524.8576375900.

It can be divided in two parts, 144 and 585441, that added together give a palindrome (585585).

The spelling of 144585441 in words is "one hundred forty-four million, five hundred eighty-five thousand, four hundred forty-one".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 121 143 231 273 363 429 693 819 847 1001 1089 1287 1459 1573 2541 3003 4377 4719 7623 9009 10213 11011 13131 14157 16049 18967 30639 33033 48147 56901 91917 99099 112343 132769 144441 170703 176539 208637 337029 398307 529617 625911 1011087 1194921 1235773 1460459 1588851 1877733 2295007 3707319 4381377 6885021 11121957 13144131 16065049 20655063 48195147 144585441