Search a number
-
+
244122223005 = 3451736379749
BaseRepresentation
bin1110001101011011010…
…0011000000110011101
3212100010022000211220000
43203112310120012131
512444430242114010
6304052002244513
723431401441453
oct3432664300635
9770108024800
10244122223005
11945936a3411
123b390056739
131a036417b3b
14bb5bd3a9d3
15653bcc57c0
hex38d6d1819d

244122223005 has 80 divisors (see below), whose sum is σ = 463528494000. Its totient is φ = 122493523968.

The previous prime is 244122222991. The next prime is 244122223057. The reversal of 244122223005 is 500322221442.

244122223005 is a `hidden beast` number, since 24 + 412 + 2 + 223 + 0 + 0 + 5 = 666.

244122223005 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 42770789721 + 201351433284 = 206811^2 + 448722^2 .

It is not a de Polignac number, because 244122223005 - 26 = 244122222941 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 244122223005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25035871 + ... + 25045619.

It is an arithmetic number, because the mean of its divisors is an integer number (5794106175).

Almost surely, 2244122223005 is an apocalyptic number.

It is an amenable number.

244122223005 is a deficient number, since it is larger than the sum of its proper divisors (219406270995).

244122223005 is a wasteful number, since it uses less digits than its factorization.

244122223005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13420 (or 13411 counting only the distinct ones).

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

Adding to 244122223005 its reverse (500322221442), we get a palindrome (744444444447).

The spelling of 244122223005 in words is "two hundred forty-four billion, one hundred twenty-two million, two hundred twenty-three thousand, five".

Divisors: 1 3 5 9 15 17 27 45 51 81 85 135 153 255 405 459 765 1377 2295 3637 6885 9749 10911 18185 29247 32733 48745 54555 61829 87741 98199 146235 163665 165733 185487 263223 294597 309145 438705 490995 497199 556461 789669 828665 927435 1316115 1472985 1491597 1669383 2485995 2782305 3948345 4474791 5008149 7457985 8346915 13424373 22373955 25040745 35457113 67121865 106371339 177285565 319114017 531856695 602770921 957342051 1595570085 1808312763 2872026153 3013854605 4786710255 5424938289 9041563815 14360130765 16274814867 27124691445 48824444601 81374074335 244122223005