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144318105 = 345438287
BaseRepresentation
bin10001001101000…
…01111010011001
3101001120010020000
420212201322121
5243421134410
622153123213
73401453331
oct1046417231
9331503200
10144318105
1174511368
12403b9509
1323b8c939
141524a0c1
15ca0adc0
hex89a1e99

144318105 has 40 divisors (see below), whose sum is σ = 264751872. Its totient is φ = 75170592.

The previous prime is 144318089. The next prime is 144318107. The reversal of 144318105 is 501813441.

It is a happy number.

It is not a de Polignac number, because 144318105 - 24 = 144318089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (144318107) 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 39 ways as a sum of consecutive naturals, for example, 13272 + ... + 21558.

Almost surely, 2144318105 is an apocalyptic number.

144318105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144318105 is a deficient number, since it is larger than the sum of its proper divisors (120433767).

144318105 is an equidigital number, since it uses as much as digits as its factorization.

144318105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8347 (or 8338 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 144318105 is about 12013.2470631383. The cubic root of 144318105 is about 524.5339537568.

The spelling of 144318105 in words is "one hundred forty-four million, three hundred eighteen thousand, one hundred five".

Divisors: 1 3 5 9 15 27 43 45 81 129 135 215 387 405 645 1161 1935 3483 5805 8287 17415 24861 41435 74583 124305 223749 356341 372915 671247 1069023 1118745 1781705 3207069 3356235 5345115 9621207 16035345 28863621 48106035 144318105