Search a number
-
+
441030032144 = 24133895450737
BaseRepresentation
bin1100110101011110111…
…00000011101100010000
31120011101010210221221222
412122233130003230100
524211212142012034
6534334552104212
743602064263662
oct6325734035420
91504333727858
10441030032144
11160048a56879
1271584095068
1332786c14580
14174bb498532
15b713a4512e
hex66af703b10

441030032144 has 40 divisors (see below), whose sum is σ = 922591913880. Its totient is φ = 203029014528.

The previous prime is 441030032143. The next prime is 441030032171. The reversal of 441030032144 is 441230030144.

It can be written as a sum of positive squares in 4 ways, for example, as 15847788544 + 425182243600 = 125888^2 + 652060^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (441030032143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2644457 + ... + 2806280.

It is an arithmetic number, because the mean of its divisors is an integer number (23064797847).

Almost surely, 2441030032144 is an apocalyptic number.

It is an amenable number.

441030032144 is an abundant number, since it is smaller than the sum of its proper divisors (481561881736).

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

441030032144 is a wasteful number, since it uses less digits than its factorization.

441030032144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5451147 (or 5451141 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 441030032144 its reverse (441230030144), we get a palindrome (882260062288).

It can be divided in two parts, 4410300 and 32144, that added together give a palindrome (4442444).

The spelling of 441030032144 in words is "four hundred forty-one billion, thirty million, thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 389 778 1556 3112 5057 6224 10114 20228 40456 80912 5450737 10901474 21802948 43605896 70859581 87211792 141719162 283438324 566876648 1133753296 2120336693 4240673386 8481346772 16962693544 27564377009 33925387088 55128754018 110257508036 220515016072 441030032144