Search a number
-
+
144191385 = 32513317951
BaseRepresentation
bin10001001100000…
…10111110011001
3101001022200101200
420212002332121
5243403111020
622150304413
73400415022
oct1046027631
9331280350
10144191385
1174435138
1240358109
1323b47060
1415215c49
15c9d3590
hex8982f99

144191385 has 48 divisors (see below), whose sum is σ = 277874688. Its totient is φ = 68688000.

The previous prime is 144191371. The next prime is 144191389. The reversal of 144191385 is 583191441.

It is not a de Polignac number, because 144191385 - 26 = 144191321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144191389) 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 47 ways as a sum of consecutive naturals, for example, 14160 + ... + 22110.

It is an arithmetic number, because the mean of its divisors is an integer number (5789056).

Almost surely, 2144191385 is an apocalyptic number.

144191385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144191385 is a deficient number, since it is larger than the sum of its proper divisors (133683303).

144191385 is a wasteful number, since it uses less digits than its factorization.

144191385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8006 (or 8003 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 144191385 is about 12007.9717271486. The cubic root of 144191385 is about 524.3803846517.

The spelling of 144191385 in words is "one hundred forty-four million, one hundred ninety-one thousand, three hundred eighty-five".

Divisors: 1 3 5 9 13 15 31 39 45 65 93 117 155 195 279 403 465 585 1209 1395 2015 3627 6045 7951 18135 23853 39755 71559 103363 119265 246481 310089 357795 516815 739443 930267 1232405 1550445 2218329 3204253 3697215 4651335 9612759 11091645 16021265 28838277 48063795 144191385