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441032144033 = 13219472922349
BaseRepresentation
bin1100110101011111001…
…00000111010010100001
31120011101021210020221002
412122233210013102201
524211213212102113
6534335105241345
743602121241045
oct6325744072241
91504337706832
10441032144033
1116004a169538
1271584933255
13327874a3900
14174bb888025
15b713d10c58
hex66af9074a1

441032144033 has 24 divisors (see below), whose sum is σ = 513398448000. Its totient is φ = 377473846464.

The previous prime is 441032144009. The next prime is 441032144039. The reversal of 441032144033 is 330441230144.

It is a happy number.

It is not a de Polignac number, because 441032144033 - 210 = 441032143009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 441032143987 and 441032144005.

It is not an unprimeable number, because it can be changed into a prime (441032144039) 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 23 ways as a sum of consecutive naturals, for example, 1310258 + ... + 1612091.

It is an arithmetic number, because the mean of its divisors is an integer number (21391602000).

Almost surely, 2441032144033 is an apocalyptic number.

It is an amenable number.

441032144033 is a deficient number, since it is larger than the sum of its proper divisors (72366303967).

441032144033 is a wasteful number, since it uses less digits than its factorization.

441032144033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922441 (or 2922428 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 441032144033 its reverse (330441230144), we get a palindrome (771473374177).

The spelling of 441032144033 in words is "four hundred forty-one billion, thirty-two million, one hundred forty-four thousand, thirty-three".

Divisors: 1 13 19 47 169 247 611 893 3211 7943 11609 150917 2922349 37990537 55524631 137350403 493876981 721820203 1785555239 2609657657 9383662639 23212218107 33925549541 441032144033