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144092289 = 311171132273
BaseRepresentation
bin10001001011010…
…10110010000001
3101001010122110110
420211222302001
5243341423124
622144221533
73366523065
oct1045526201
9331118413
10144092289
1174377740
124030a8a9
1323b10c13
14151cbaa5
15c9b4029
hex896ac81

144092289 has 32 divisors (see below), whose sum is σ = 223979904. Its totient is φ = 81428480.

The previous prime is 144092281. The next prime is 144092293. The reversal of 144092289 is 982290441.

It is a cyclic number.

It is not a de Polignac number, because 144092289 - 23 = 144092281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144092281) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 62257 + ... + 64529.

It is an arithmetic number, because the mean of its divisors is an integer number (6999372).

Almost surely, 2144092289 is an apocalyptic number.

It is an amenable number.

144092289 is a deficient number, since it is larger than the sum of its proper divisors (79887615).

144092289 is a wasteful number, since it uses less digits than its factorization.

144092289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417.

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 144092289 is about 12003.8447590762. The cubic root of 144092289 is about 524.2602297449.

The spelling of 144092289 in words is "one hundred forty-four million, ninety-two thousand, two hundred eighty-nine".

Divisors: 1 3 11 17 33 51 113 187 339 561 1243 1921 2273 3729 5763 6819 21131 25003 38641 63393 75009 115923 256849 425051 770547 1275153 2825339 4366433 8476017 13099299 48030763 144092289