428906016
428,906,016 is an even composite number composed of five prime numbers multiplied together.
428906016 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 428906016:
25 × 34 × 72 × 11 × 307
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 11 × 307)See below for interesting mathematical facts about the number 428906016 from the Numbermatics database.
Names of 428906016
- Cardinal: 428906016 can be written as Four hundred twenty-eight million, nine hundred six thousand and sixteen.
Scientific notation
- Scientific notation: 4.28906016 × 108
Factors of 428906016
Divisors of 428906016
- Number of divisors d(n): 360
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 49 54 56 63 66 72 77 81 84 88 96 98 99 108 112 126 132 144 147 154 162 168 176 189 196 198 216 224 231 252 264 288 294 297 307 308 324 336 352 378 392 396 432 441 462 504 528 539 567 588 594 614 616 648 672 693 756 784 792 864 882 891 921 924 1008 1056 1078 1134 1176 1188 1228 1232 1296 1323 1386 1512 1568 1584 1617 1764 1782 1842 1848 2016 2079 2149 2156 2268 2352 2376 2456 2464 2592 2646 2763 2772 3024 3168 3234 3377 3528 3564 3684 3696 3969 4158 4298 4312 4536 4704 4752 4851 4912 5292 5526 5544 6048 6237 6447 6468 6754 7056 7128 7368 7392 7938 8289 8316 8596 8624 9072 9504 9702 9824 10131 10584 11052 11088 12474 12894 12936 13508 14112 14256 14553 14736 15043 15876 16578 16632 17192 17248 18144 19341 19404 20262 21168 22104 22176 23639 24867 24948 25788 25872 27016 28512 29106 29472 30086 30393 31752 33156 33264 34384 38682 38808 40524 42336 43659 44208 45129 47278 49734 49896 51576 51744 54032 58023 58212 60172 60786 63504 66312 66528 68768 70917 77364 77616 81048 87318 88416 90258 91179 94556 99468 99792 103152 108064 116046 116424 120344 121572 127008 132624 135387 141834 154728 155232 162096 165473 174069 174636 180516 182358 189112 198936 199584 206304 212751 232092 232848 240688 243144 265248 270774 273537 283668 309456 324192 330946 348138 349272 361032 364716 378224 397872 406161 425502 464184 465696 481376 486288 496419 541548 547074 567336 618912 638253 661892 696276 698544 722064 729432 756448 795744 812322 851004 928368 972576 992838 1083096 1094148 1134672 1218483 1276506 1323784 1392552 1397088 1444128 1458864 1489257 1624644 1702008 1856736 1914759 1985676 2166192 2188296 2269344 2436966 2553012 2647568 2785104 2917728 2978514 3249288 3404016 3829518 3971352 4332384 4376592 4467771 4873932 5106024 5295136 5570208 5957028 6498576 6808032 7659036 7942704 8753184 8935542 9747864 10212048 11914056 12997152 13403313 15318072 15885408 17871084 19495728 20424096 23828112 26806626 30636144 35742168 38991456 47656224 53613252 61272288 71484336 107226504 142968672 214453008 428906016
- Sum of all divisors σ(n): 1605952656
- Sum of proper divisors (its aliquot sum) s(n): 1177046640
- 428906016 is an abundant number, because the sum of its proper divisors (1177046640) is greater than itself. Its abundance is 748140624
Bases of 428906016
- Binary: 110011001000010010110001000002
- Hexadecimal: 0x19909620
- Base-36: 73CY00
Squares and roots of 428906016
- 428906016 squared (4289060162) is 183960370560992256
- 428906016 cubed (4289060163) is 78901709639198873527812096
-
The
square root of 428906016 is 20710.0462577947 -
The
cube root of 428906016 is 754.1435933535
Scales and comparisons
How big is 428906016?- 428,906,016 seconds is equal to 13 years, 33 weeks, 1 day, 4 hours, 33 minutes, 36 seconds.
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To count from 1 to 428,906,016 would take you about twenty 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 428906016 cubic inches would be around 62.8 feet tall.
Recreational maths with 428906016
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