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144443985 = 35717194259
BaseRepresentation
bin10001001110000…
…00101001010001
3101001210111220020
420213000221101
5243434201420
622155534053
73402516330
oct1047005121
9331714806
10144443985
11745979a4
124045a329
1323c0501a
141527dd17
15ca33340
hex89c0a51

144443985 has 64 divisors (see below), whose sum is σ = 294451200. Its totient is φ = 58862592.

The previous prime is 144443953. The next prime is 144443993. The reversal of 144443985 is 589344441.

It is not a de Polignac number, because 144443985 - 25 = 144443953 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31786 + ... + 36044.

It is an arithmetic number, because the mean of its divisors is an integer number (4600800).

Almost surely, 2144443985 is an apocalyptic number.

144443985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144443985 is an abundant number, since it is smaller than the sum of its proper divisors (150007215).

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

144443985 is a wasteful number, since it uses less digits than its factorization.

144443985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4310.

The product of its digits is 276480, while the sum is 42.

The square root of 144443985 is about 12018.4851374872. The cubic root of 144443985 is about 524.6864159072.

The spelling of 144443985 in words is "one hundred forty-four million, four hundred forty-three thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 15 17 19 21 35 51 57 85 95 105 119 133 255 285 323 357 399 595 665 969 1615 1785 1995 2261 4259 4845 6783 11305 12777 21295 29813 33915 63885 72403 80921 89439 149065 217209 242763 362015 404605 447195 506821 566447 1086045 1213815 1375657 1520463 1699341 2534105 2832235 4126971 6878285 7602315 8496705 9629599 20634855 28888797 48147995 144443985