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144165645 = 32513281877
BaseRepresentation
bin10001001011111…
…00101100001101
3101001021101002100
420211330230031
5243401300040
622145545313
73400250001
oct1045745415
9331241070
10144165645
1174417868
1240345239
1323b38420
141520a701
15c9cab30
hex897cb0d

144165645 has 48 divisors (see below), whose sum is σ = 270374832. Its totient is φ = 70640640.

The previous prime is 144165643. The next prime is 144165647. The reversal of 144165645 is 546561441.

144165645 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 6 + 5 + 645 = 666.

144165645 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (144165643) and next prime (144165647).

It can be written as a sum of positive squares in 8 ways, for example, as 21609 + 144144036 = 147^2 + 12006^2 .

It is not a de Polignac number, because 144165645 - 21 = 144165643 is a prime.

It is a super-3 number, since 3×1441656453 (a number of 25 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144165643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163947 + ... + 164823.

It is an arithmetic number, because the mean of its divisors is an integer number (5632809).

Almost surely, 2144165645 is an apocalyptic number.

144165645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144165645 is a deficient number, since it is larger than the sum of its proper divisors (126209187).

144165645 is a wasteful number, since it uses less digits than its factorization.

144165645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1179 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 144165645 is about 12006.8998913125. The cubic root of 144165645 is about 524.3491799341.

The spelling of 144165645 in words is "one hundred forty-four million, one hundred sixty-five thousand, six hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 281 585 843 877 1405 2529 2631 3653 4215 4385 7893 10959 11401 12645 13155 18265 32877 34203 39465 54795 57005 102609 164385 171015 246437 513045 739311 1232185 2217933 3203681 3696555 9611043 11089665 16018405 28833129 48055215 144165645