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40444043321 = 11192414353109
BaseRepresentation
bin100101101010101001…
…110010000000111001
310212101121121021102102
4211222221302000321
51130312133341241
630325120113145
72631145460513
oct455251620071
9125347537372
1040444043321
11161746763a0
127a087657b5
133a77074ba6
141d59558bb3
1510ba99a39b
hex96aa72039

40444043321 has 96 divisors (see below), whose sum is σ = 50187392640. Its totient is φ = 32267289600.

The previous prime is 40444043303. The next prime is 40444043327. The reversal of 40444043321 is 12334044404.

It is a happy number.

It is not a de Polignac number, because 40444043321 - 226 = 40376934457 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40444043327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 371046215 + ... + 371046323.

It is an arithmetic number, because the mean of its divisors is an integer number (522785340).

Almost surely, 240444043321 is an apocalyptic number.

40444043321 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

40444043321 is a deficient number, since it is larger than the sum of its proper divisors (9743349319).

40444043321 is a wasteful number, since it uses less digits than its factorization.

40444043321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 40444043321 its reverse (12334044404), we get a palindrome (52778087725).

The spelling of 40444043321 in words is "forty billion, four hundred forty-four million, forty-three thousand, three hundred twenty-one".

Divisors: 1 11 19 41 43 53 109 209 361 451 473 583 779 817 1007 1199 1763 2071 2173 2279 3971 4469 4687 5777 8569 8987 11077 14801 15523 19133 19393 22781 23903 25069 33497 39349 41287 43301 49159 51557 63547 84911 89053 93439 109763 162811 170753 192167 210463 236857 248411 368467 432839 454157 476311 636443 784453 822719 934021 979583 1027829 1207393 1613309 1692007 1775341 2085497 2113837 2605427 2732521 3651173 4500283 4719809 7000873 8628983 9049909 10184851 17746399 18612077 19528751 22940467 33731479 40162903 49503113 51917899 69372287 85505377 89676371 112033361 193512169 371046269 763095157 940559147 986440081 2128633859 3676731211 40444043321