106468164
106,468,164 is an even composite number composed of six prime numbers multiplied together.
106468164 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 106468164:
22 × 32 × 11 × 29 × 73 × 127
(2 × 2 × 3 × 3 × 11 × 29 × 73 × 127)See below for interesting mathematical facts about the number 106468164 from the Numbermatics database.
Names of 106468164
- Cardinal: 106468164 can be written as One hundred six million, four hundred sixty-eight thousand, one hundred sixty-four.
Scientific notation
- Scientific notation: 1.06468164 × 108
Factors of 106468164
Divisors of 106468164
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 73 87 99 116 127 132 146 174 198 219 254 261 292 319 348 381 396 438 508 522 638 657 762 803 876 957 1044 1143 1276 1314 1397 1524 1606 1914 2117 2286 2409 2628 2794 2871 3212 3683 3828 4191 4234 4572 4818 5588 5742 6351 7227 7366 8382 8468 9271 9636 11049 11484 12573 12702 14454 14732 16764 18542 19053 22098 23287 25146 25404 27813 28908 33147 37084 38106 40513 44196 46574 50292 55626 66294 69861 76212 81026 83439 93148 101981 111252 121539 132588 139722 162052 166878 203962 209583 243078 268859 279444 305943 333756 364617 407924 419166 486156 537718 611886 729234 806577 838332 917829 1075436 1223772 1458468 1613154 1835658 2419731 2957449 3226308 3671316 4839462 5914898 8872347 9678924 11829796 17744694 26617041 35489388 53234082 106468164
- Sum of all divisors σ(n): 310302720
- Sum of proper divisors (its aliquot sum) s(n): 203834556
- 106468164 is an abundant number, because the sum of its proper divisors (203834556) is greater than itself. Its abundance is 97366392
Bases of 106468164
- Binary: 1100101100010010011010001002
- Hexadecimal: 0x6589344
- Base-36: 1RDZD0
Squares and roots of 106468164
- 106468164 squared (1064681642) is 11335469945530896
- 106468164 cubed (1064681643) is 1206866673177854502394944
-
The
square root of 106468164 is 10318.3411457461 -
The
cube root of 106468164 is 473.9580692493
Scales and comparisons
How big is 106468164?- 106,468,164 seconds is equal to 3 years, 20 weeks, 6 hours, 29 minutes, 24 seconds.
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To count from 1 to 106,468,164 would take you about five years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 106468164 cubic inches would be around 39.5 feet tall.
Recreational maths with 106468164
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