Search a number
-
+
144095588 = 227132331699
BaseRepresentation
bin10001001011010…
…11100101100100
3101001010210222122
420211223211210
5243342024323
622144245112
73366535520
oct1045534544
9331123878
10144095588
117437a16a
1240310798
1323b12580
14151ccd80
15c9b4ec8
hex896b964

144095588 has 48 divisors (see below), whose sum is σ = 311875200. Its totient is φ = 56726784.

The previous prime is 144095579. The next prime is 144095591. The reversal of 144095588 is 885590441.

144095588 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 83963 + ... + 85661.

It is an arithmetic number, because the mean of its divisors is an integer number (6497400).

Almost surely, 2144095588 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144095588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155937600).

144095588 is an abundant number, since it is smaller than the sum of its proper divisors (167779612).

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

144095588 is a wasteful number, since it uses less digits than its factorization.

144095588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 44.

The square root of 144095588 is about 12003.9821725959. The cubic root of 144095588 is about 524.2642307022.

The spelling of 144095588 in words is "one hundred forty-four million, ninety-five thousand, five hundred eighty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 233 364 466 932 1631 1699 3029 3262 3398 6058 6524 6796 11893 12116 21203 22087 23786 42406 44174 47572 84812 88348 154609 309218 395867 618436 791734 1583468 2771069 5146271 5542138 10292542 11084276 20585084 36023897 72047794 144095588