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144443312 = 241323109277
BaseRepresentation
bin10001001110000…
…00011110110000
3101001210110222022
420213000132300
5243434141222
622155531012
73402514346
oct1047003660
9331713868
10144443312
1174597442
1240459a68
1323c04920
141527d996
15ca33042
hex89c07b0

144443312 has 80 divisors (see below), whose sum is σ = 318521280. Its totient is φ = 62954496.

The previous prime is 144443311. The next prime is 144443317. The reversal of 144443312 is 213344441.

144443312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (144443311) 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 15 ways as a sum of consecutive naturals, for example, 521318 + ... + 521594.

It is an arithmetic number, because the mean of its divisors is an integer number (3981516).

Almost surely, 2144443312 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 144443312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159260640).

144443312 is an abundant number, since it is smaller than the sum of its proper divisors (174077968).

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

144443312 is a wasteful number, since it uses less digits than its factorization.

144443312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 424 counting only the distinct ones).

The product of its digits is 4608, while the sum is 26.

The square root of 144443312 is about 12018.4571389176. The cubic root of 144443312 is about 524.6856010249.

Adding to 144443312 its reverse (213344441), we get a palindrome (357787753).

The spelling of 144443312 in words is "one hundred forty-four million, four hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 109 184 208 218 277 299 368 436 554 598 872 1108 1196 1417 1744 2216 2392 2507 2834 3601 4432 4784 5014 5668 6371 7202 10028 11336 12742 14404 20056 22672 25484 28808 30193 32591 40112 50968 57616 60386 65182 82823 101936 120772 130364 165646 241544 260728 331292 392509 483088 521456 662584 694439 785018 1325168 1388878 1570036 2777756 3140072 5555512 6280144 9027707 11111024 18055414 36110828 72221656 144443312