Search a number
-
+
144230112 = 25331312841
BaseRepresentation
bin10001001100011…
…00011011100000
3101001101122112000
420212030123200
5243410330422
622151204000
73400635645
oct1046143340
9331348460
10144230112
1174461244
1240376600
1323b5b880
1415225dcc
15c9decac
hex898c6e0

144230112 has 96 divisors (see below), whose sum is σ = 453065760. Its totient is φ = 44375040.

The previous prime is 144230089. The next prime is 144230113. The reversal of 144230112 is 211032441.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144230113) 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, 4812 + ... + 17652.

It is an arithmetic number, because the mean of its divisors is an integer number (4719435).

Almost surely, 2144230112 is an apocalyptic number.

144230112 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 144230112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226532880).

144230112 is an abundant number, since it is smaller than the sum of its proper divisors (308835648).

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

144230112 is a wasteful number, since it uses less digits than its factorization.

144230112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12873 (or 12859 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 144230112 is about 12009.5841726514. The cubic root of 144230112 is about 524.4273265716.

Adding to 144230112 its reverse (211032441), we get a palindrome (355262553).

The spelling of 144230112 in words is "one hundred forty-four million, two hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 12841 25682 38523 51364 77046 102728 115569 154092 166933 205456 231138 308184 333866 346707 410912 462276 500799 616368 667732 693414 924552 1001598 1232736 1335464 1386828 1502397 1849104 2003196 2670928 2773656 3004794 3698208 4006392 4507191 5341856 5547312 6009588 8012784 9014382 11094624 12019176 16025568 18028764 24038352 36057528 48076704 72115056 144230112