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144325665 = 33511175717
BaseRepresentation
bin10001001101000…
…11110000100001
3101001120111121000
420212203300201
5243421410130
622153222213
73401514351
oct1046436041
9331514530
10144325665
1174517010
1240401969
1323b93203
141524cb61
15ca0d260
hex89a3c21

144325665 has 64 divisors (see below), whose sum is σ = 296421120. Its totient is φ = 65848320.

The previous prime is 144325661. The next prime is 144325669. The reversal of 144325665 is 566523441.

It is an interprime number because it is at equal distance from previous prime (144325661) and next prime (144325669).

It is not a de Polignac number, because 144325665 - 22 = 144325661 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144325661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22387 + ... + 28103.

It is an arithmetic number, because the mean of its divisors is an integer number (4631580).

Almost surely, 2144325665 is an apocalyptic number.

144325665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144325665 is an abundant number, since it is smaller than the sum of its proper divisors (152095455).

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

144325665 is a wasteful number, since it uses less digits than its factorization.

144325665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5759 (or 5753 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 144325665 is about 12013.5617116657. The cubic root of 144325665 is about 524.5431127080.

The spelling of 144325665 in words is "one hundred forty-four million, three hundred twenty-five thousand, six hundred sixty-five".

Divisors: 1 3 5 9 11 15 17 27 33 45 51 55 85 99 135 153 165 187 255 297 459 495 561 765 935 1485 1683 2295 2805 5049 5717 8415 17151 25245 28585 51453 62887 85755 97189 154359 188661 257265 291567 314435 485945 565983 771795 874701 943305 1069079 1457835 1697949 2624103 2829915 3207237 4373505 5345395 8489745 9621711 13120515 16036185 28865133 48108555 144325665