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44432003022 = 231179101139607
BaseRepresentation
bin101001011000010110…
…101000111111001110
311020200112122121200120
4221120112220333032
51211444043044042
632224540005410
73132031536261
oct513026507716
9136615577616
1044432003022
1117930786560
128740230866
13426133c164
142217056cd8
151250b42dec
hexa585a8fce

44432003022 has 128 divisors (see below), whose sum is σ = 100019404800. Its totient is φ = 13045968000.

The previous prime is 44432003009. The next prime is 44432003053. The reversal of 44432003022 is 22030023444.

It is a junction number, because it is equal to n+sod(n) for n = 44432002983 and 44432003001.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 73199043 + ... + 73199649.

It is an arithmetic number, because the mean of its divisors is an integer number (781401600).

Almost surely, 244432003022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44432003022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50009702400).

44432003022 is an abundant number, since it is smaller than the sum of its proper divisors (55587401778).

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

44432003022 is a wasteful number, since it uses less digits than its factorization.

44432003022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942.

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 44432003022 its reverse (22030023444), we get a palindrome (66462026466).

The spelling of 44432003022 in words is "forty-four billion, four hundred thirty-two million, three thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 79 101 139 158 202 237 278 303 417 474 606 607 834 869 1111 1214 1529 1738 1821 2222 2607 3058 3333 3642 4587 5214 6666 6677 7979 9174 10981 13354 14039 15958 20031 21962 23937 28078 32943 40062 42117 47874 47953 61307 65886 84234 84373 87769 95906 120791 122614 143859 154429 168746 175538 183921 241582 253119 263307 287718 308858 362373 367842 463287 506238 526614 527483 674377 724746 926574 928103 1054966 1109081 1348754 1582449 1856206 2023131 2218162 2784309 3164898 3327243 4046262 4843253 5568618 6654486 6665467 8521673 9686506 12199891 13330934 14529759 17043346 19996401 24399782 25565019 29059518 36599673 39992802 51130038 53275783 73199346 73320137 93738403 106551566 146640274 159827349 187476806 219960411 281215209 319654698 439920822 562430418 673212167 1346424334 2019636501 4039273002 7405333837 14810667674 22216001511 44432003022