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44443774441 = 11217372931993
BaseRepresentation
bin101001011001000011…
…100010110111101001
311020201100210200001001
4221121003202313221
51212010101240231
632230040155001
73132233564263
oct513103426751
9136640720031
1044443774441
1117937396600
128744168a61
1342639010b1
14221883cb33
151251bbab61
hexa590e2de9

44443774441 has 48 divisors (see below), whose sum is σ = 53331061392. Its totient is φ = 36854231040.

The previous prime is 44443774423. The next prime is 44443774469. The reversal of 44443774441 is 14447734444.

44443774441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 21600474841 + 22843299600 = 146971^2 + 151140^2 .

It is not a de Polignac number, because 44443774441 - 27 = 44443774313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 44443774391 and 44443774400.

It is not an unprimeable number, because it can be changed into a prime (44443772441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22298941 + ... + 22300933.

It is an arithmetic number, because the mean of its divisors is an integer number (1111063779).

Almost surely, 244443774441 is an apocalyptic number.

It is an amenable number.

44443774441 is a deficient number, since it is larger than the sum of its proper divisors (8887286951).

44443774441 is a wasteful number, since it uses less digits than its factorization.

44443774441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362 (or 2351 counting only the distinct ones).

The product of its digits is 2408448, while the sum is 46.

The spelling of 44443774441 in words is "forty-four billion, four hundred forty-three million, seven hundred seventy-four thousand, four hundred forty-one".

Divisors: 1 11 17 37 121 187 293 407 629 1993 2057 3223 4477 4981 6919 10841 21923 33881 35453 54791 73741 76109 119251 184297 241153 372691 583949 602701 811151 1253597 1311761 2027267 4099601 6423439 8922661 9927133 13789567 21606113 22299937 70657829 109198463 151685237 237667243 367303921 1201183093 2614339673 4040343131 44443774441