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144643312 = 241179101103
BaseRepresentation
bin10001001111100…
…01010011110000
3101002011122022201
420213301103300
5244012041222
622204112544
73404306422
oct1047612360
9332148281
10144643312
1174713730
1240535754
1323c74978
14152d2812
15ca72427
hex89f14f0

144643312 has 80 divisors (see below), whose sum is σ = 315694080. Its totient is φ = 63648000.

The previous prime is 144643283. The next prime is 144643319. The reversal of 144643312 is 213346441.

144643312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144643319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1404253 + ... + 1404355.

It is an arithmetic number, because the mean of its divisors is an integer number (3946176).

Almost surely, 2144643312 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 144643312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157847040).

144643312 is an abundant number, since it is smaller than the sum of its proper divisors (171050768).

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

144643312 is a wasteful number, since it uses less digits than its factorization.

144643312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 296 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

The square root of 144643312 is about 12026.7747962619. The cubic root of 144643312 is about 524.9276538254.

Adding to 144643312 its reverse (213346441), we get a palindrome (357989753).

The spelling of 144643312 in words is "one hundred forty-four million, six hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 79 88 101 103 158 176 202 206 316 404 412 632 808 824 869 1111 1133 1264 1616 1648 1738 2222 2266 3476 4444 4532 6952 7979 8137 8888 9064 10403 13904 15958 16274 17776 18128 20806 31916 32548 41612 63832 65096 83224 87769 89507 114433 127664 130192 166448 175538 179014 228866 351076 358028 457732 702152 716056 821837 915464 1404304 1432112 1643674 1830928 3287348 6574696 9040207 13149392 18080414 36160828 72321656 144643312