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44443135105 = 51741104912157
BaseRepresentation
bin101001011001000001…
…000110110010000001
311020201022121012000221
4221121001012302001
51212004420310410
632230014343041
73132225262315
oct513101066201
9136638535027
1044443135105
1117936a9a226
128743abaa81
1342637390a5
142218713b45
151251ae14da
hexa59046c81

44443135105 has 32 divisors (see below), whose sum is σ = 57906122400. Its totient is φ = 32613089280.

The previous prime is 44443135057. The next prime is 44443135127. The reversal of 44443135105 is 50153134444.

It can be written as a sum of positive squares in 16 ways, for example, as 16009081729 + 28434053376 = 126527^2 + 168624^2 .

It is not a de Polignac number, because 44443135105 - 27 = 44443134977 is a prime.

It is a super-2 number, since 2×444431351052 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3649687 + ... + 3661843.

It is an arithmetic number, because the mean of its divisors is an integer number (1809566325).

Almost surely, 244443135105 is an apocalyptic number.

It is an amenable number.

44443135105 is a deficient number, since it is larger than the sum of its proper divisors (13462987295).

44443135105 is a wasteful number, since it uses less digits than its factorization.

44443135105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13269.

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 44443135105 its reverse (50153134444), we get a palindrome (94596269549).

The spelling of 44443135105 in words is "forty-four billion, four hundred forty-three million, one hundred thirty-five thousand, one hundred five".

Divisors: 1 5 17 41 85 205 697 1049 3485 5245 12157 17833 43009 60785 89165 206669 215045 498437 731153 1033345 2492185 3655765 8473429 12752693 42367145 63763465 216795781 522860413 1083978905 2614302065 8888627021 44443135105