Search a number
-
+
144144132 = 223116771613
BaseRepresentation
bin10001001011101…
…11011100000100
3101001020021120120
420211313130010
5243400103012
622145301540
73400130166
oct1045673404
9331207516
10144144132
1174402690
12403348b0
1323b2b6b2
1415202936
15c9c458c
hex8977704

144144132 has 48 divisors (see below), whose sum is σ = 367682112. Its totient is φ = 43588480.

The previous prime is 144144131. The next prime is 144144137. The reversal of 144144132 is 231441441.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (144144131) 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, 88558 + ... + 90170.

It is an arithmetic number, because the mean of its divisors is an integer number (7660044).

Almost surely, 2144144132 is an apocalyptic number.

144144132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144144132 is an abundant number, since it is smaller than the sum of its proper divisors (223537980).

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

144144132 is a wasteful number, since it uses less digits than its factorization.

144144132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308 (or 2306 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 144144132 is about 12006.0039980003. The cubic root of 144144132 is about 524.3230967780.

Adding to 144144132 its reverse (231441441), we get a palindrome (375585573).

The spelling of 144144132 in words is "one hundred forty-four million, one hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 677 1354 1613 2031 2708 3226 4062 4839 6452 7447 8124 9678 14894 17743 19356 22341 29788 35486 44682 53229 70972 89364 106458 212916 1092001 2184002 3276003 4368004 6552006 12012011 13104012 24024022 36036033 48048044 72072066 144144132