Search a number
-
+
144314130 = 23518012671
BaseRepresentation
bin10001001101000…
…00111100010010
3101001112220202210
420212200330102
5243421023010
622153052550
73401435622
oct1046407422
9331486683
10144314130
1174509384
12403b7156
1323b8ab9c
1415248882
15ca09b20
hex89a0f12

144314130 has 32 divisors (see below), whose sum is σ = 346675968. Its totient is φ = 38448000.

The previous prime is 144314129. The next prime is 144314141. The reversal of 144314130 is 31413441.

144314130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 144314097 and 144314106.

It is an unprimeable number.

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, 52695 + ... + 55365.

It is an arithmetic number, because the mean of its divisors is an integer number (10833624).

Almost surely, 2144314130 is an apocalyptic number.

144314130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144314130 is an abundant number, since it is smaller than the sum of its proper divisors (202361838).

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

144314130 is a wasteful number, since it uses less digits than its factorization.

144314130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4482.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 144314130 is about 12013.0816196345. The cubic root of 144314130 is about 524.5291379101.

Adding to 144314130 its reverse (31413441), we get a palindrome (175727571).

The spelling of 144314130 in words is "one hundred forty-four million, three hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 1801 2671 3602 5342 5403 8013 9005 10806 13355 16026 18010 26710 27015 40065 54030 80130 4810471 9620942 14431413 24052355 28862826 48104710 72157065 144314130