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4444205013 = 3219372113329
BaseRepresentation
bin1000010001110010…
…10010111111010101
3102110201120000011200
410020321102333111
533100204030023
62012554423113
7215063055633
oct41071227725
912421500150
104444205013
111980702006
12a40431a99
1355a96c811
14302344353
151b026b743
hex108e52fd5

4444205013 has 48 divisors (see below), whose sum is σ = 6974884800. Its totient is φ = 2717245440.

The previous prime is 4444205009. The next prime is 4444205047. The reversal of 4444205013 is 3105024444.

It is a happy number.

4444205013 is a `hidden beast` number, since 4 + 444 + 205 + 0 + 13 = 666.

It is not a de Polignac number, because 4444205013 - 22 = 4444205009 is a prime.

It is a super-3 number, since 3×44442050133 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4444205053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1333333 + ... + 1336661.

It is an arithmetic number, because the mean of its divisors is an integer number (145310100).

Almost surely, 24444205013 is an apocalyptic number.

It is an amenable number.

4444205013 is a deficient number, since it is larger than the sum of its proper divisors (2530679787).

4444205013 is a wasteful number, since it uses less digits than its factorization.

4444205013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3602 (or 3599 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4444205013 is about 66664.8709066477. The cubic root of 4444205013 is about 1644.1118579208. Note that the first 3 decimals are identical.

Adding to 4444205013 its reverse (3105024444), we get a palindrome (7549229457).

The spelling of 4444205013 in words is "four billion, four hundred forty-four million, two hundred five thousand, thirteen".

Divisors: 1 3 9 19 37 57 111 171 211 333 633 703 1899 2109 3329 4009 6327 7807 9987 12027 23421 29961 36081 63251 70263 123173 148333 189753 369519 444999 569259 702419 1108557 1334997 2107257 2340287 6321771 7020861 13345961 21062583 25989503 40037883 77968509 120113649 233905527 493800557 1481401671 4444205013