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144141240 = 23354129297
BaseRepresentation
bin10001001011101…
…10101110111000
3101001020010121110
420211312232320
5243400004430
622145240320
73400115565
oct1045665670
9331203543
10144141240
11744004a1
12403330a0
1323b2a299
141520186c
15c9c37b0
hex8976bb8

144141240 has 64 divisors (see below), whose sum is σ = 442985760. Its totient is φ = 37498880.

The previous prime is 144141209. The next prime is 144141247. The reversal of 144141240 is 42141441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144141247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9729 + ... + 19568.

Almost surely, 2144141240 is an apocalyptic number.

144141240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144141240 is an abundant number, since it is smaller than the sum of its proper divisors (298844520).

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

144141240 is a wasteful number, since it uses less digits than its factorization.

144141240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29352 (or 29348 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 144141240 is about 12005.8835576562. The cubic root of 144141240 is about 524.3195902125.

Adding to 144141240 its reverse (42141441), we get a palindrome (186282681).

The spelling of 144141240 in words is "one hundred forty-four million, one hundred forty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4920 29297 58594 87891 117188 146485 175782 234376 292970 351564 439455 585940 703128 878910 1171880 1201177 1757820 2402354 3515640 3603531 4804708 6005885 7207062 9609416 12011770 14414124 18017655 24023540 28828248 36035310 48047080 72070620 144141240