428201983984320
428,201,983,984,320 is an even composite number composed of seven prime numbers multiplied together.
428201983984320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 428201983984320:
26 × 37 × 5 × 72 × 13 × 751 × 1279
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 13 × 751 × 1279)See below for interesting mathematical facts about the number 428201983984320 from the Numbermatics database.
Names of 428201983984320
- Cardinal: 428201983984320 can be written as Four hundred twenty-eight trillion, two hundred one billion, nine hundred eighty-three million, nine hundred eighty-four thousand, three hundred twenty.
Scientific notation
- Scientific notation: 4.2820198398432 × 1014
Factors of 428201983984320
Divisors of 428201983984320
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 27 28 30 32 35 36 39 40 42 45 48 49 52 54 56 60 63 64 65 70 72 78 80 81 84 90 91 96 98 104 105 108 112 117 120 126 130 135 140 144 147 156 160 162 168 180 182 189 192 195 196 208 210 216 224 234 240 243 245 252 260 270 273 280 288 294 312 315 320 324 336 351 360 364 378 390 392 405 416 420 432 441 448 455 468 480 486 490 504 520 540 546 560 567 576 585 588 624 630 637 648 672 702 720 728 729 735 751 756 780 784 810 819 832 840 864 882 910 936 945 960 972 980 1008 1040 1053 1080 1092 1120 1134 1170 1176 1215 1248 1260 1274 1279 1296 1323 1344 1365 1404 1440 1456 1458 1470 1502 1512 1560 1568 1620 1638 1680 1701 1728 1755 1764 1820 1872 1890 1911 1944 1960 2016 2080 2106 2160 2184 2187 2205 2240 2253 2268 2340 2352 2430 2457 2496 2520 2548 2558 2592 2646 2730 2808 2835 2880 2912 2916 2940 3004 3024 3120 3136 3159 3185 3240 3276 3360 3402 3510 3528 3640 3645 3744 3755 3780 3822 3837 3888 3920 3969 4032 4095 4160 4212 4320 4368 4374 4410 4506 4536 4680 4704 4860 4914 5040 5096 5103 5116 5184 5257 5265 5292 5460 5616 5670 5733 5824 5832 5880 6008 6048 6240 6318 6370 6395 6480 6552 6615 6720 6759 6804 7020 7056 7280 7290 7371 7488 7510 7560 7644 7674 7776 7840 7938 8190 8424 8505 8640 8736 8748 8820 8953 9012 9072 9360 9408 9477 9555 9720 9763 9828 10080 10192 10206 10232 10514 10530 10584 10920 10935 11232 11265 11340 11466 11511 11664 11760 11907 12016 12096 12285 12480 12636 12740 12790 12960 13104 13230 13518 13608 14040 14112 14560 14580 14742 15020 15120 15288 15309 15348 15552 15680 15771 15795 15876 16380 16627 16848 17010 17199 17472 17496 17640 17906 18024 18144 18720 18954 19110 19185 19440 19526 19656 19845 20160 20277 20384 20412 20464 21028 21060 21168 21840 21870 22113 22464 22530 22680 22932 23022 23328 23520 23814 24032 24570 25272 25480 25515 25580 25920 26208 26285 26460 26859 27036 27216 28080 28224 28431 28665 29120 29160 29289 29484 30040 30240 30576 30618 30696 31542 31590 31752 32760 33254 33696 33795 34020 34398 34533 34992 35280 35721 35812 36048 36288 36799 36855 37440 37908 38220 38370 38880 39052 39312 39690 40554 40768 40824 40928 42056 42120 42336 43680 43740 44226 44765 45060 45360 45864 46044 46656 47040 47313 47385 47628 48064 48815 49140 49881 50544 50960 51030 51160 51597 52416 52570 52920 53718 54072 54432 56160 56862 57330 57555 58320 58578 58968 59535 60080 60480 60831 61152 61236 61392 62671 63084 63180 63504 65520 66339 66508 67392 67590 68040 68341 68796 69066 69984 70560 71442 71624 72096 73598 73710 75816 76440 76545 76740 77760 78104 78624 78855 79380 80577 81108 81648 81856 83135 84112 84240 84672 85995 87360 87480 87867 88452 89530 90120 90720 91728 92088 94626 94770 95256 97630 98280 99762 101088 101385 101920 102060 102320 103194 103599 105140 105840 107163 107436 108144 108864 110397 110565 112320 113724 114660 115110 116389 116640 117156 117936 119070 120160 121662 122304 122472 122784 125342 126168 126360 127008 131040 132678 133016 134295 135180 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609974336160 637205333310 660805530840 672216615360 679685688864 686221128180 728234666640 731969203392 743406222195 755206320960 764646399972 784252717920 792966637008 823465353816 849607111080 873881599968 881074041120 892087466634 914961504240 941103261504 955807999965 970979555520 991208296260 1019528533296 1029331692270 1057288849344 1092351999960 1097953805088 1132809481440 1176379076880 1189449955512 1219948672320 1274410666620 1321611061680 1338131199951 1359371377728 1372442256360 1456469333280 1486812444390 1529292799944 1568505435840 1585933274016 1646930707632 1699214222160 1747763199936 1762148082240 1784174933268 1829923008480 1911615999930 1982416592520 2039057066592 2058663384540 2184703999920 2195907610176 2230218666585 2265618962880 2352758153760 2378899911024 2548821333240 2643222123360 2676262399902 2744884512720 2912938666560 2973624888780 3058585599888 3171866548032 3293861415264 3398428444320 3568349866536 3659846016960 3823231999860 3964833185040 4078114133184 4117326769080 4369407999840 4460437333170 4705516307520 4757799822048 5097642666480 5286444246720 5352524799804 5489769025440 5947249777560 6117171199776 6587722830528 6690655999755 6796856888640 7136699733072 7646463999720 7929666370080 8234653538160 8738815999680 8920874666340 9515599644096 10195285332960 10705049599608 10979538050880 11894499555120 12234342399552 13381311999510 14273399466144 15292927999440 15859332740160 16469307076320 17841749332680 20390570665920 21410099199216 23788999110240 26762623999020 28546798932288 30585855998880 32938614152640 35683498665360 42820198398432 47577998220480 53525247998040 61171711997760 71366997330720 85640396796864 107050495996080 142733994661440 214100991992160 428201983984320
- Sum of all divisors σ(n): 1919815601356800
- Sum of proper divisors (its aliquot sum) s(n): 1491613617372480
- 428201983984320 is an abundant number, because the sum of its proper divisors (1491613617372480) is greater than itself. Its abundance is 1063411633388160
Bases of 428201983984320
- Binary: 11000010101110010100010110010010111000010110000002
- Hexadecimal: 0x185728B25C2C0
- Base-36: 47S99XF000
Squares and roots of 428201983984320
- 428201983984320 squared (4282019839843202) is 183356939088107841782005862400
- 428201983984320 cubed (4282019839843203) is 78513805094819891852111474820169149677568000
-
The
square root of 428201983984320 is 20693041.9219678767 -
The
cube root of 428201983984320 is 75373.0735224621
Scales and comparisons
How big is 428201983984320?- 428,201,983,984,320 seconds is equal to 13,615,498 years, 29 weeks, 6 days, 7 hours, 12 minutes.
-
To count from 1 to 428,201,983,984,320 would take you about thirty-four million, thirty-eight thousand, seven hundred forty-six 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 428201983984320 cubic inches would be around 6281.1 feet tall.
Recreational maths with 428201983984320
- 428201983984320 backwards is 023489389102824
- 428201983984320 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428201983984320's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 428201983984320 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
APA style:
Numbermatics. (2024). Number 428201983984320 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/428201983984320/
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Numbermatics. 2024. "Number 428201983984320 - Facts about the integer". https://numbermatics.com/n/428201983984320/
The information we have on file for 428201983984320 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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