105384006
105,384,006 is an even composite number composed of five prime numbers multiplied together.
105384006 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 105384006:
2 × 32 × 73 × 132 × 101
(2 × 3 × 3 × 7 × 7 × 7 × 13 × 13 × 101)See below for interesting mathematical facts about the number 105384006 from the Numbermatics database.
Names of 105384006
- Cardinal: 105384006 can be written as One hundred five million, three hundred eighty-four thousand and six.
Scientific notation
- Scientific notation: 1.05384006 × 108
Factors of 105384006
Divisors of 105384006
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 101 117 126 147 169 182 202 234 273 294 303 338 343 441 507 546 606 637 686 707 819 882 909 1014 1029 1183 1274 1313 1414 1521 1638 1818 1911 2058 2121 2366 2626 3042 3087 3549 3822 3939 4242 4459 4949 5733 6174 6363 7098 7878 8281 8918 9191 9898 10647 11466 11817 12726 13377 14847 16562 17069 18382 21294 23634 24843 26754 27573 29694 34138 34643 40131 44541 49686 51207 55146 57967 64337 69286 74529 80262 82719 89082 102414 103929 115934 119483 128674 149058 153621 165438 173901 193011 207858 238966 307242 311787 347802 358449 386022 450359 521703 579033 623574 716898 836381 900718 1043406 1075347 1158066 1351077 1672762 2150694 2509143 2702154 4053231 5018286 5854667 7527429 8106462 11709334 15054858 17564001 35128002 52692003 105384006
- Sum of all divisors σ(n): 291189600
- Sum of proper divisors (its aliquot sum) s(n): 185805594
- 105384006 is an abundant number, because the sum of its proper divisors (185805594) is greater than itself. Its abundance is 80421588
Bases of 105384006
- Binary: 1100100100000001000010001102
- Hexadecimal: 0x6480846
- Base-36: 1QQQTI
Squares and roots of 105384006
- 105384006 squared (1053840062) is 11105788720608036
- 105384006 cubed (1053840063) is 1170372505167289589472216
-
The
square root of 105384006 is 10265.6712396217 -
The
cube root of 105384006 is 472.3438166925
Scales and comparisons
How big is 105384006?- 105,384,006 seconds is equal to 3 years, 18 weeks, 1 day, 17 hours, 20 minutes, 6 seconds.
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To count from 1 to 105,384,006 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 105384006 cubic inches would be around 39.4 feet tall.
Recreational maths with 105384006
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