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144808565 = 5112376469
BaseRepresentation
bin10001010000110…
…01101001110101
3101002111001000012
420220121221311
5244032333230
622211430005
73405565256
oct1050315165
9332431005
10144808565
1174816900
12405b5305
1324001c55
1415336b2d
15caa6395
hex8a19a75

144808565 has 24 divisors (see below), whose sum is σ = 196196280. Its totient is φ = 102453120.

The previous prime is 144808549. The next prime is 144808577. The reversal of 144808565 is 565808441.

It can be written as a sum of positive squares in 4 ways, for example, as 10387729 + 134420836 = 3223^2 + 11594^2 .

It is not a de Polignac number, because 144808565 - 24 = 144808549 is a prime.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 19151 + ... + 25619.

It is an arithmetic number, because the mean of its divisors is an integer number (8174845).

Almost surely, 2144808565 is an apocalyptic number.

It is an amenable number.

144808565 is a deficient number, since it is larger than the sum of its proper divisors (51387715).

144808565 is a wasteful number, since it uses less digits than its factorization.

144808565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6533 (or 6522 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 41.

The square root of 144808565 is about 12033.6430477225. The cubic root of 144808565 is about 525.1274852913.

The spelling of 144808565 in words is "one hundred forty-four million, eight hundred eight thousand, five hundred sixty-five".

Divisors: 1 5 11 37 55 121 185 407 605 2035 4477 6469 22385 32345 71159 239353 355795 782749 1196765 2632883 3913745 13164415 28961713 144808565