Search a number
-
+
44004331112 = 23729318310531
BaseRepresentation
bin101000111110110111…
…001100111001101000
311012120201220122010012
4220332313030321220
51210110102043422
632114301311052
73115316433350
oct507667147150
9135521818105
1044004331112
11177313302a5
128640b65488
1341c385c461
1421b632bb60
1512283154e2
hexa3edcce68

44004331112 has 128 divisors (see below), whose sum is σ = 101916057600. Its totient is φ = 17407353600.

The previous prime is 44004331109. The next prime is 44004331159. The reversal of 44004331112 is 21113340044.

It is a super-2 number, since 2×440043311122 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4173287 + ... + 4183817.

It is an arithmetic number, because the mean of its divisors is an integer number (796219200).

Almost surely, 244004331112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44004331112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50958028800).

44004331112 is an abundant number, since it is smaller than the sum of its proper divisors (57911726488).

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

44004331112 is a wasteful number, since it uses less digits than its factorization.

44004331112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10687 (or 10683 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 44004331112 its reverse (21113340044), we get a palindrome (65117671156).

The spelling of 44004331112 in words is "forty-four billion, four million, three hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 29 31 56 58 62 83 116 124 166 203 217 232 248 332 406 434 581 664 812 868 899 1162 1624 1736 1798 2324 2407 2573 3596 4648 4814 5146 6293 7192 9628 10292 10531 12586 16849 18011 19256 20584 21062 25172 33698 36022 42124 50344 67396 72044 73717 74617 84248 134792 144088 147434 149234 294868 298468 305399 326461 522319 589736 596936 610798 652922 874073 1044638 1221596 1305844 1748146 2089276 2137793 2285227 2443192 2611688 3496292 4178552 4275586 4570454 6118511 6992584 8551172 9140908 9467369 12237022 17102344 18281816 18934738 24474044 25348117 27096263 37869476 48948088 50696234 54192526 66271583 75738952 101392468 108385052 132543166 177436819 189673841 202784936 216770104 265086332 354873638 379347682 530172664 709747276 758695364 785791627 1419494552 1517390728 1571583254 3143166508 5500541389 6286333016 11001082778 22002165556 44004331112