Search a number
-
+
144285885 = 32517188609
BaseRepresentation
bin10001001100110…
…10000010111101
3101001111111000200
420212122002331
5243414122020
622152314113
73401260362
oct1046320275
9331444020
10144285885
117449a137
12403a2939
1323b7b083
141523c469
15ca01590
hex899a0bd

144285885 has 24 divisors (see below), whose sum is σ = 264808440. Its totient is φ = 72425472.

The previous prime is 144285881. The next prime is 144285899. The reversal of 144285885 is 588582441.

144285885 is a `hidden beast` number, since 1 + 44 + 28 + 588 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41100921 + 103184964 = 6411^2 + 10158^2 .

It is not a de Polignac number, because 144285885 - 22 = 144285881 is a prime.

It is a super-2 number, since 2×1442858852 = 41636833220466450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 144285885.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144285881) 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 23 ways as a sum of consecutive naturals, for example, 93540 + ... + 95069.

It is an arithmetic number, because the mean of its divisors is an integer number (11033685).

Almost surely, 2144285885 is an apocalyptic number.

144285885 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144285885 is a deficient number, since it is larger than the sum of its proper divisors (120522555).

144285885 is a wasteful number, since it uses less digits than its factorization.

144285885 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188637 (or 188634 counting only the distinct ones).

The product of its digits is 409600, while the sum is 45.

The square root of 144285885 is about 12011.9059686629. The cubic root of 144285885 is about 524.4949155921.

The spelling of 144285885 in words is "one hundred forty-four million, two hundred eighty-five thousand, eight hundred eighty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 188609 565827 943045 1697481 2829135 3206353 8487405 9619059 16031765 28857177 48095295 144285885