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144106305 = 357337757
BaseRepresentation
bin10001001011011…
…10001101000001
3101001011100200120
420211232031001
5243342400210
622144410453
73366612000
oct1045561501
9331140616
10144106305
1174387222
1240316a29
1323b17405
14151d2c37
15c9b8270
hex896e341

144106305 has 64 divisors (see below), whose sum is σ = 276518400. Its totient is φ = 64012032.

The previous prime is 144106289. The next prime is 144106309. The reversal of 144106305 is 503601441.

It is not a de Polignac number, because 144106305 - 24 = 144106289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144106309) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 189987 + ... + 190743.

It is an arithmetic number, because the mean of its divisors is an integer number (4320600).

Almost surely, 2144106305 is an apocalyptic number.

144106305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144106305 is a deficient number, since it is larger than the sum of its proper divisors (132412095).

144106305 is an equidigital number, since it uses as much as digits as its factorization.

144106305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 144106305 is about 12004.4285578281. The cubic root of 144106305 is about 524.2772276314.

Adding to 144106305 its reverse (503601441), we get a palindrome (647707746).

The spelling of 144106305 in words is "one hundred forty-four million, one hundred six thousand, three hundred five".

Divisors: 1 3 5 7 15 21 35 37 49 105 111 147 185 245 259 343 555 735 757 777 1029 1295 1715 1813 2271 3785 3885 5145 5299 5439 9065 11355 12691 15897 26495 27195 28009 37093 38073 63455 79485 84027 111279 140045 185465 190365 196063 259651 420135 556395 588189 778953 980315 1298255 1372441 2940945 3894765 4117323 6862205 9607087 20586615 28821261 48035435 144106305