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144112936 = 23112533
BaseRepresentation
bin10001001011011…
…11110100101000
3101001011200210011
420211233310220
5243343103221
622144501304
73366640222
oct1045576450
9331150704
10144112936
1174391200
124031a834
1323b1a436
14151d5412
15c9ba1e1
hex896fd28

144112936 has 48 divisors (see below), whose sum is σ = 302721300. Its totient is φ = 64269920.

The previous prime is 144112921. The next prime is 144112957. The reversal of 144112936 is 639211441.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

144112936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 143760100 + 352836 = 11990^2 + 594^2 .

It is a junction number, because it is equal to n+sod(n) for n = 144112898 and 144112907.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2719086 + ... + 2719138.

Almost surely, 2144112936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144112936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151360650).

144112936 is an abundant number, since it is smaller than the sum of its proper divisors (158608364).

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

144112936 is an frugal number, since it uses more digits than its factorization.

144112936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 66 counting only the distinct ones).

The product of its digits is 5184, while the sum is 31.

The square root of 144112936 is about 12004.7047443908. The cubic root of 144112936 is about 524.2852689844.

The spelling of 144112936 in words is "one hundred forty-four million, one hundred twelve thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 22 44 53 88 106 121 212 242 424 484 583 968 1166 2332 2809 4664 5618 6413 11236 12826 22472 25652 30899 51304 61798 123596 148877 247192 297754 339889 595508 679778 1191016 1359556 1637647 2719112 3275294 6550588 13101176 18014117 36028234 72056468 144112936