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144123569 = 17194110883
BaseRepresentation
bin10001001011100…
…10011010110001
3101001012020100222
420211302122301
5243343423234
622145022425
73400013222
oct1045623261
9331166328
10144123569
1174399197
1240324a15
1323b22225
14151d9249
15c9bd42e
hex89726b1

144123569 has 16 divisors (see below), whose sum is σ = 164566080. Its totient is φ = 125360640.

The previous prime is 144123559. The next prime is 144123583. The reversal of 144123569 is 965321441.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-144123569 is a prime.

It is a super-3 number, since 3×1441235693 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (144123509) 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 15 ways as a sum of consecutive naturals, for example, 7802 + ... + 18684.

It is an arithmetic number, because the mean of its divisors is an integer number (10285380).

Almost surely, 2144123569 is an apocalyptic number.

144123569 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

144123569 is a deficient number, since it is larger than the sum of its proper divisors (20442511).

144123569 is a wasteful number, since it uses less digits than its factorization.

144123569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10960.

The product of its digits is 25920, while the sum is 35.

The square root of 144123569 is about 12005.1476042571. The cubic root of 144123569 is about 524.2981630111.

The spelling of 144123569 in words is "one hundred forty-four million, one hundred twenty-three thousand, five hundred sixty-nine".

Divisors: 1 17 19 41 323 697 779 10883 13243 185011 206777 446203 3515209 7585451 8477857 144123569