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444400433233221 = 31967421276402979
BaseRepresentation
bin110010100001011100000100…
…1111101011111110101000101
32011021111021012021122201122010
41211002320021331133311011
5431222024041401430341
64213054423551124433
7162414605005231023
oct14502701175376505
92137437167581563
10444400433233221
11119666190079213
1241a13945b13719
13160c7a1cc2839a
147ba514a99b713
153659d1d779716
hex1942e09f5fd45

444400433233221 has 32 divisors (see below), whose sum is σ = 634532793126400. Its totient is φ = 275828059805760.

The previous prime is 444400433233213. The next prime is 444400433233241. The reversal of 444400433233221 is 122332334004444.

It is a happy number.

It is not a de Polignac number, because 444400433233221 - 23 = 444400433233213 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 444400433233221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444400433233241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136593691 + ... + 139809288.

It is an arithmetic number, because the mean of its divisors is an integer number (19829149785200).

Almost surely, 2444400433233221 is an apocalyptic number.

It is an amenable number.

444400433233221 is a deficient number, since it is larger than the sum of its proper divisors (190132359893179).

444400433233221 is a wasteful number, since it uses less digits than its factorization.

444400433233221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276403489.

The product of its (nonzero) digits is 663552, while the sum is 39.

Adding to 444400433233221 its reverse (122332334004444), we get a palindrome (566732767237665).

The spelling of 444400433233221 in words is "four hundred forty-four trillion, four hundred billion, four hundred thirty-three million, two hundred thirty-three thousand, two hundred twenty-one".

Divisors: 1 3 19 57 67 201 421 1263 1273 3819 7999 23997 28207 84621 535933 1607799 276402979 829208937 5251656601 15754969803 18518999593 55556998779 116365654159 349096962477 351860992267 1055582976801 2210947429021 6632842287063 7796498828653 23389496485959 148133477744407 444400433233221