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144306565 = 5132170777
BaseRepresentation
bin10001001100111…
…11000110000101
3101001112112101121
420212133012011
5243420302230
622152553541
73401404564
oct1046370605
9331475347
10144306565
1174503727
12403b28b1
1323b87600
1415245bdb
15ca0777a
hex899f185

144306565 has 12 divisors (see below), whose sum is σ = 187514244. Its totient is φ = 106564224.

The previous prime is 144306563. The next prime is 144306583. The reversal of 144306565 is 565603441.

It can be written as a sum of positive squares in 6 ways, for example, as 53714241 + 90592324 = 7329^2 + 9518^2 .

It is not a de Polignac number, because 144306565 - 21 = 144306563 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 144306565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144306563) 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 11 ways as a sum of consecutive naturals, for example, 84544 + ... + 86233.

It is an arithmetic number, because the mean of its divisors is an integer number (15626187).

Almost surely, 2144306565 is an apocalyptic number.

It is an amenable number.

144306565 is a deficient number, since it is larger than the sum of its proper divisors (43207679).

144306565 is a wasteful number, since it uses less digits than its factorization.

144306565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170808 (or 170795 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 144306565 is about 12012.7667504202. The cubic root of 144306565 is about 524.5199724129.

It can be divided in two parts, 1443065 and 65, that multiplied together give a square (93799225 = 96852).

The spelling of 144306565 in words is "one hundred forty-four million, three hundred six thousand, five hundred sixty-five".

Divisors: 1 5 13 65 169 845 170777 853885 2220101 11100505 28861313 144306565