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144288132 = 22318166431
BaseRepresentation
bin10001001100110…
…10100110000100
3101001111121002220
420212122212010
5243414210012
622152332340
73401300052
oct1046324604
9331447086
10144288132
11744a089a
12403a40b0
1323b7c0c1
141523d1d2
15ca0208c
hex899a984

144288132 has 24 divisors (see below), whose sum is σ = 338537472. Its totient is φ = 47829600.

The previous prime is 144288107. The next prime is 144288169. The reversal of 144288132 is 231882441.

It is a junction number, because it is equal to n+sod(n) for n = 144288093 and 144288102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31044 + ... + 35387.

It is an arithmetic number, because the mean of its divisors is an integer number (14105728).

Almost surely, 2144288132 is an apocalyptic number.

144288132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144288132 is an abundant number, since it is smaller than the sum of its proper divisors (194249340).

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

144288132 is a wasteful number, since it uses less digits than its factorization.

144288132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66619 (or 66617 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 144288132 is about 12011.9995004995. Note that the first 3 decimals coincide. The cubic root of 144288132 is about 524.4976382746.

The spelling of 144288132 in words is "one hundred forty-four million, two hundred eighty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 181 362 543 724 1086 2172 66431 132862 199293 265724 398586 797172 12024011 24048022 36072033 48096044 72144066 144288132