Search a number
-
+
44244131121102 = 231119304691157977
BaseRepresentation
bin10100000111101011000111…
…01110000000011111001110
312210122200211120101122000210
422003311203232000133032
521244343440031333402
6234033250115303250
712214350546251403
oct1203654356003716
9183580746348023
1044244131121102
1113108915637350
124b66985baab26
131b8c2855a5173
14acd5da9d02aa
1551ad5865906c
hex283d63b807ce

44244131121102 has 64 divisors (see below), whose sum is σ = 101616738220800. Its totient is φ = 12701236596480.

The previous prime is 44244131121101. The next prime is 44244131121109. The reversal of 44244131121102 is 20112113144244.

44244131121102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×442441311211022 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 44244131121102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44244131121101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37629138 + ... + 38787114.

It is an arithmetic number, because the mean of its divisors is an integer number (1587761534700).

Almost surely, 244244131121102 is an apocalyptic number.

44244131121102 is an abundant number, since it is smaller than the sum of its proper divisors (57372607099698).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

44244131121102 is a wasteful number, since it uses less digits than its factorization.

44244131121102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188481.

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 44244131121102 its reverse (20112113144244), we get a palindrome (64356244265346).

The spelling of 44244131121102 in words is "forty-four trillion, two hundred forty-four billion, one hundred thirty-one million, one hundred twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1254 30469 60938 91407 182814 335159 578911 670318 1005477 1157822 1157977 1736733 2010954 2315954 3473466 3473931 6368021 6947862 12736042 12737747 19104063 22001563 25475494 38208126 38213241 44003126 66004689 76426482 132009378 242017193 484034386 726051579 1452103158 35282401213 70564802426 105847203639 211694407278 388106413343 670365623047 776212826686 1164319240029 1340731246094 2011096869141 2328638480058 4022193738282 7374021853517 14748043707034 22122065560551 44244131121102