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144130032 = 24327313711
BaseRepresentation
bin10001001011100…
…11111111110000
3101001012120020100
420211303333300
5243344130112
622145112400
73400041114
oct1045637760
9331176210
10144130032
11743a3032
1240328700
1323b25157
14151db744
15c9c02dc
hex8973ff0

144130032 has 60 divisors (see below), whose sum is σ = 408919264. Its totient is φ = 47381760.

The previous prime is 144130027. The next prime is 144130033. The reversal of 144130032 is 230031441.

It is a super-2 number, since 2×1441300322 = 41546932248642048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 144129987 and 144130014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144130033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3657 + ... + 17367.

Almost surely, 2144130032 is an apocalyptic number.

144130032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204459632).

144130032 is an abundant number, since it is smaller than the sum of its proper divisors (264789232).

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

144130032 is a wasteful number, since it uses less digits than its factorization.

144130032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13798 (or 13789 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 144130032 is about 12005.4167774384. The cubic root of 144130032 is about 524.3060000092.

Adding to 144130032 its reverse (230031441), we get a palindrome (374161473).

The spelling of 144130032 in words is "one hundred forty-four million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 1168 1314 1752 2628 3504 5256 10512 13711 27422 41133 54844 82266 109688 123399 164532 219376 246798 329064 493596 658128 987192 1000903 1974384 2001806 3002709 4003612 6005418 8007224 9008127 12010836 16014448 18016254 24021672 36032508 48043344 72065016 144130032