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144327105 = 32513246713
BaseRepresentation
bin10001001101001…
…00000111000001
3101001120120120100
420212210013001
5243421431410
622153233013
73401521506
oct1046440701
9331516510
10144327105
11745180aa
1240402769
1323b93a70
141524d4ad
15ca0d8c0
hex89a41c1

144327105 has 24 divisors (see below), whose sum is σ = 269411688. Its totient is φ = 71053056.

The previous prime is 144327091. The next prime is 144327107. The reversal of 144327105 is 501723441.

It can be written as a sum of positive squares in 4 ways, for example, as 5817744 + 138509361 = 2412^2 + 11769^2 .

It is not a de Polignac number, because 144327105 - 27 = 144326977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144327107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122772 + ... + 123941.

It is an arithmetic number, because the mean of its divisors is an integer number (11225487).

Almost surely, 2144327105 is an apocalyptic number.

144327105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144327105 is a deficient number, since it is larger than the sum of its proper divisors (125084583).

144327105 is a wasteful number, since it uses less digits than its factorization.

144327105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246737 (or 246734 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 144327105 is about 12013.6216437842. The cubic root of 144327105 is about 524.5448572339.

The spelling of 144327105 in words is "one hundred forty-four million, three hundred twenty-seven thousand, one hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 246713 740139 1233565 2220417 3207269 3700695 9621807 11102085 16036345 28865421 48109035 144327105