Search a number
-
+
44540664101 = 1922941103769
BaseRepresentation
bin101001011110110101…
…001001100100100101
311020222010010011122222
4221132311021210211
51212204402222401
632243421002125
73134521253363
oct513665114445
9136863104588
1044540664101
11179870531aa
1287706b3345
13427a9c5c5b
142227660633
15125a458c1b
hexa5ed49925

44540664101 has 24 divisors (see below), whose sum is σ = 49815826200. Its totient is φ = 39747294720.

The previous prime is 44540664083. The next prime is 44540664107. The reversal of 44540664101 is 10146604544.

44540664101 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 4 ways, for example, as 6768352900 + 37772311201 = 82270^2 + 194351^2 .

It is a de Polignac number, because none of the positive numbers 2k-44540664101 is a prime.

It is a super-2 number, since 2×445406641012 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44540664107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 377345 + ... + 481113.

It is an arithmetic number, because the mean of its divisors is an integer number (2075659425).

Almost surely, 244540664101 is an apocalyptic number.

44540664101 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

44540664101 is a deficient number, since it is larger than the sum of its proper divisors (5275162099).

44540664101 is a wasteful number, since it uses less digits than its factorization.

44540664101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103877 (or 103858 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 44540664101 in words is "forty-four billion, five hundred forty million, six hundred sixty-four thousand, one hundred one".

Divisors: 1 19 29 41 361 551 779 1189 10469 14801 22591 103769 429229 1971611 3009301 4254529 37460609 57176719 80836051 123381341 1086357661 1535884969 2344245479 44540664101