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144145512 = 233271132531
BaseRepresentation
bin10001001011101…
…11110001101000
3101001020100110200
420211313301220
5243400124022
622145312200
73400134210
oct1045676150
9331210420
10144145512
1174403725
1240335660
1323b2c204
1415203240
15c9c4bac
hex8977c68

144145512 has 96 divisors (see below), whose sum is σ = 450290880. Its totient is φ = 40803840.

The previous prime is 144145487. The next prime is 144145523. The reversal of 144145512 is 215541441.

144145512 is a `hidden beast` number, since 1 + 4 + 4 + 145 + 512 = 666.

144145512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55687 + ... + 58217.

It is an arithmetic number, because the mean of its divisors is an integer number (4690530).

Almost surely, 2144145512 is an apocalyptic number.

144145512 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 144145512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225145440).

144145512 is an abundant number, since it is smaller than the sum of its proper divisors (306145368).

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

144145512 is a wasteful number, since it uses less digits than its factorization.

144145512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2663 (or 2656 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 144145512 is about 12006.0614691080. The cubic root of 144145512 is about 524.3247700189.

Adding to 144145512 its reverse (215541441), we get a palindrome (359686953).

The spelling of 144145512 in words is "one hundred forty-four million, one hundred forty-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 113 126 168 226 252 339 452 504 678 791 904 1017 1356 1582 2034 2373 2531 2712 3164 4068 4746 5062 6328 7119 7593 8136 9492 10124 14238 15186 17717 18984 20248 22779 28476 30372 35434 45558 53151 56952 60744 70868 91116 106302 141736 159453 182232 212604 286003 318906 425208 572006 637812 858009 1144012 1275624 1716018 2002021 2288024 2574027 3432036 4004042 5148054 6006063 6864072 8008084 10296108 12012126 16016168 18018189 20592216 24024252 36036378 48048504 72072756 144145512