Search a number
-
+
144331404 = 22372776203
BaseRepresentation
bin10001001101001…
…01001010001100
3101001120210110120
420212211022030
5243422101104
622153304540
73401540160
oct1046451214
9331523416
10144331404
1174520358
1240405150
1323b959c9
1415250ca0
15ca0ecd9
hex89a528c

144331404 has 48 divisors (see below), whose sum is σ = 386335488. Its totient is φ = 41082048.

The previous prime is 144331403. The next prime is 144331409. The reversal of 144331404 is 404133441.

It is a super-2 number, since 2×1443314042 = 41663108361222432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144331403) 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, 20167 + ... + 26369.

It is an arithmetic number, because the mean of its divisors is an integer number (8048656).

Almost surely, 2144331404 is an apocalyptic number.

144331404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144331404 is an abundant number, since it is smaller than the sum of its proper divisors (242004084).

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

144331404 is a wasteful number, since it uses less digits than its factorization.

144331404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6494 (or 6492 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 144331404 is about 12013.8005643510. The cubic root of 144331404 is about 524.5500653015.

Adding to 144331404 its reverse (404133441), we get a palindrome (548464845).

The spelling of 144331404 in words is "one hundred forty-four million, three hundred thirty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 277 554 831 1108 1662 1939 3324 3878 5817 6203 7756 11634 12406 18609 23268 24812 37218 43421 74436 86842 130263 173684 260526 521052 1718231 3436462 5154693 6872924 10309386 12027617 20618772 24055234 36082851 48110468 72165702 144331404