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440312144 = 24259310613
BaseRepresentation
bin11010001111101…
…010000101010000
31010200112011201012
4122033222011100
51400204442034
6111405230052
713624406606
oct3217520520
91120464635
10440312144
112065aa038
12103562328
13702b723c
1442699876
15289c7cce
hex1a3ea150

440312144 has 20 divisors (see below), whose sum is σ = 853514196. Its totient is φ = 220050432.

The previous prime is 440312143. The next prime is 440312179. The reversal of 440312144 is 441213044.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 385729600 + 54582544 = 19640^2 + 7388^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440312143) 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 3 ways as a sum of consecutive naturals, for example, 36182 + ... + 46794.

Almost surely, 2440312144 is an apocalyptic number.

It is an amenable number.

440312144 is a deficient number, since it is larger than the sum of its proper divisors (413202052).

440312144 is a wasteful number, since it uses less digits than its factorization.

440312144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13214 (or 13208 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 440312144 is about 20983.6160849364. The cubic root of 440312144 is about 760.7703085453.

Adding to 440312144 its reverse (441213044), we get a palindrome (881525188).

The spelling of 440312144 in words is "four hundred forty million, three hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 2593 5186 10372 10613 20744 21226 41488 42452 84904 169808 27519509 55039018 110078036 220156072 440312144