990828216000
990,828,216,000 is an even composite number composed of six prime numbers multiplied together.
990828216000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 990828216000:
26 × 32 × 53 × 73 × 53 × 757
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 53 × 757)See below for interesting mathematical facts about the number 990828216000 from the Numbermatics database.
Names of 990828216000
- Cardinal: 990828216000 can be written as Nine hundred ninety billion, eight hundred twenty-eight million, two hundred sixteen thousand.
Scientific notation
- Scientific notation: 9.90828216 × 1011
Factors of 990828216000
Divisors of 990828216000
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 49 50 53 56 60 63 64 70 72 75 80 84 90 96 98 100 105 106 112 120 125 126 140 144 147 150 159 160 168 175 180 192 196 200 210 212 224 225 240 245 250 252 265 280 288 294 300 315 318 320 336 343 350 360 371 375 392 400 420 424 441 448 450 477 480 490 500 504 525 530 560 576 588 600 630 636 672 686 700 720 735 742 750 757 784 795 800 840 848 875 882 900 954 960 980 1000 1008 1029 1050 1060 1113 1120 1125 1176 1200 1225 1260 1272 1325 1344 1372 1400 1440 1470 1484 1500 1514 1568 1575 1590 1600 1680 1696 1715 1750 1764 1800 1855 1908 1960 2000 2016 2058 2100 2120 2205 2226 2240 2250 2271 2352 2385 2400 2450 2520 2544 2597 2625 2650 2744 2800 2880 2940 2968 3000 3028 3087 3136 3150 3180 3339 3360 3392 3430 3500 3528 3600 3675 3710 3785 3816 3920 3975 4000 4032 4116 4200 4240 4410 4452 4500 4542 4704 4770 4800 4900 5040 5088 5145 5194 5250 5299 5300 5488 5565 5600 5880 5936 6000 6056 6125 6174 6300 6360 6625 6678 6720 6813 6860 7000 7056 7200 7350 7420 7570 7632 7791 7840 7875 7950 8000 8232 8400 8480 8575 8820 8904 9000 9084 9275 9408 9540 9800 10080 10176 10290 10388 10500 10598 10600 10976 11025 11130 11200 11355 11760 11872 11925 12000 12112 12250 12348 12600 12720 12985 13250 13356 13626 13720 14000 14112 14400 14700 14840 15140 15264 15435 15582 15680 15750 15897 15900 16464 16695 16800 16960 17150 17640 17808 18000 18168 18179 18375 18550 18925 19080 19600 19875 20160 20580 20776 21000 21196 21200 21952 22050 22260 22710 23373 23520 23744 23850 24000 24224 24500 24696 25200 25440 25725 25970 26495 26500 26712 27252 27440 27825 28000 28224 29400 29680 30280 30528 30870 31164 31500 31794 31800 32928 33390 33600 34065 34300 35280 35616 36000 36336 36358 36750 37093 37100 37850 38160 38955 39200 39750 40121 41160 41552 42000 42392 42400 42875 44100 44520 45420 46375 46746 47040 47691 47700 48448 49000 49392 50400 50880 51450 51940 52990 53000 53424 54504 54537 54880 55125 55650 56000 56775 58800 59360 59625 60560 61740 62328 63000 63588 63600 64925 65856 66780 68130 68600 70560 71232 72000 72672 72716 73500 74186 74200 75700 76320 77175 77910 78400 79485 79500 80242 82320 83104 83475 84000 84784 84800 85750 88200 89040 90840 90895 92750 93492 94625 95382 95400 98000 98784 100800 102900 103880 105980 106000 106848 109008 109074 109760 110250 111279 111300 113550 116865 117600 118720 119250 120363 121120 123480 124656 126000 127176 127200 128625 129850 132475 133560 136260 137200 139125 141120 145344 145432 147000 148372 148400 151400 152640 154350 155820 158970 159000 160484 163611 164640 166208 166950 168000 169568 170325 171500 176400 178080 181680 181790 185465 185500 186984 189250 190764 190800 194775 196000 197568 200605 205800 207760 211960 212000 213696 218016 218148 220500 222558 222600 227100 233730 235200 238455 238500 240726 242240 246960 249312 252000 254352 254400 257250 259651 259700 264950 267120 272520 272685 274400 278250 280847 283875 290864 294000 296744 296800 302800 308700 311640 317940 318000 320968 324625 327222 329280 333837 333900 339136 340650 343000 352800 356160 361089 363360 363580 370930 371000 373968 378500 381528 381600 385875 389550 392000 397425 401210 411600 415520 417375 423920 424000 436032 436296 441000 445116 445200 454200 454475 467460 476910 477000 481452 493920 498624 504000 508704 514500 519302 519400 529900 534240 545040 545370 548800 556395 556500 561694 567750 581728 584325 588000 593488 593600 601815 605600 617400 623280 635880 636000 641936 649250 654444 662375 667674 667800 681300 686000 705600 722178 726720 727160 741860 742000 747936 757000 763056 763200 771750 778953 779100 794850 802420 818055 823200 831040 834750 842541 847840 851625 872592 882000 890232 890400 908400 908950 927325 934920 953820 954000 962904 973875 987840 1003025 1017408 1029000 1038604 1038800 1059800 1068480 1090080 1090740 1112790 1113000 1123388 1135500 1163456 1168650 1176000 1186976 1192275 1203630 1211200 1234800 1246560 1271760 1272000 1283872 1298255 1298500 1308888 1324750 1335348 1335600 1362600 1363425 1372000 1404235 1444356 1454320 1483720 1484000 1495872 1514000 1526112 1543500 1557906 1558200 1589700 1604840 1636110 1646400 1669185 1669500 1685082 1695680 1703250 1745184 1764000 1780464 1780800 1805445 1816800 1817900 1854650 1869840 1907640 1908000 1925808 1947750 1965929 1987125 2006050 2058000 2077208 2077600 2119600 2180160 2181480 2225580 2226000 2246776 2271000 2272375 2336859 2337300 2373952 2384550 2407260 2469600 2493120 2527623 2543520 2567744 2596510 2597000 2617776 2649500 2670696 2671200 2725200 2726850 2744000 2781975 2808470 2888712 2908640 2921625 2967440 2968000 3009075 3028000 3052224 3087000 3115812 3116400 3179400 3209680 3272220 3338370 3339000 3370164 3406500 3490368 3528000 3560928 3610890 3633600 3635800 3709300 3739680 3815280 3816000 3851616 3894765 3895500 3931858 3974250 4012100 4090275 4116000 4154416 4155200 4212705 4239200 4362960 4451160 4452000 4493552 4542000 4544750 4636625 4673718 4674600 4769100 4814520 4939200 5015125 5055246 5087040 5193020 5194000 5235552 5299000 5341392 5342400 5450400 5453700 5563950 5616940 5777424 5817280 5843250 5897787 5934880 5961375 6018150 6056000 6174000 6231624 6232800 6358800 6419360 6491275 6544440 6676740 6678000 6740328 6813000 6817125 7021175 7121856 7221780 7271600 7418600 7479360 7630560 7703232 7789530 7791000 7863716 7948500 8024200 8180550 8232000 8308832 8345925 8425410 8478400 8725920 8902320 8904000 8987104 9027225 9084000 9089500 9273250 9347436 9349200 9538200 9629040 9829645 10030250 10110492 10386040 10388000 10471104 10598000 10682784 10900800 10907400 11127900 11233880 11554848 11684295 11686500 11795574 11869760 11922750 12036300 12348000 12463248 12465600 12638115 12717600 12838720 12982550 13088880 13353480 13356000 13480656 13626000 13634250 13761503 13909875 14042350 14443560 14543200 14837200 15045375 15261120 15579060 15582000 15727432 15897000 16048400 16361100 16617664 16691850 16850820 17451840 17693361 17804640 17974208 18054450 18168000 18179000 18546500 18694872 18698400 19076400 19258080 19473825 19659290 20060500 20220984 20451375 20772080 20776000 21063525 21196000 21365568 21814800 22255800 22467760 23109696 23368590 23373000 23591148 23845500 24072600 24696000 24926496 25276230 25435200 25965100 26177760 26706960 26712000 26961312 27252000 27268500 27523006 27819750 28084700 28887120 29086400 29488935 29674400 30090750 31158120 31164000 31454864 31794000 32096800 32456375 32722200 33383700 33701640 35105875 35386722 35609280 36108900 36358000 37093000 37389744 37396800 38152800 38516160 38947650 39318580 40121000 40441968 40902750 41284509 41544160 41729625 42127050 42392000 43629600 44511600 44935520 45136125 46737180 46746000 47182296 47691000 48145200 49148225 49852992 50552460 51930200 52355520 53413920 53922624 54504000 54537000 55046012 55639500 56169400 57774240 58421475 58977870 59348800 60181500 62316240 62328000 62909728 63190575 63588000 64193600 64912750 65444400 66767400 67403280 68807515 70211750 70773444 72217800 72716000 74186000 74779488 76305600 77895300 78637160 80242000 80883936 81805500 82569018 83088320 83459250 84254100 87259200 88466805 89023200 89871040 90272250 93474360 93492000 94364592 95382000 96290400 97369125 98296450 101104920 103860400 105317625 106827840 109074000 110092024 111279000 112338800 115548480 116842950 117955740 120363000 123853527 124632480 125819456 126381150 127176000 129825500 130888800 133534800 134806560 137615030 140423500 141546888 144435600 145432000 147444675 148372000 149558976 155790600 157274320 160484000 161767872 163611000 165138036 166918500 168508200 176933610 178046400 180544500 186948720 186984000 188729184 190764000 192580800 194738250 196592900 202209840 206422545 207720800 210635250 218148000 220184048 222558000 224677600 233685900 235911480 240726000 245741125 247707054 249264960 252762300 259651000 261777600 267069600 269613120 275230060 280847000 283093776 288871200 292107375 294889350 296744000 311581200 314548640 315952875 320968000 327222000 330276072 333837000 337016400 344037575 353867220 361089000 373897440 377458368 381528000 389476500 393185800 404419680 412845090 415441600 421270500 436296000 440368096 442334025 445116000 449355200 467371800 471822960 481452000 491482250 495414108 505524600 519302000 534139200 550460120 561694000 566187552 577742400 584214750 589778700 619267635 623162400 629097280 631905750 654444000 660552144 667674000 674032800 688075150 707734440 722178000 737223375 747794880 778953000 786371600 808839360 825690180 842541000 880736192 884668050 890232000 934743600 943645920 962904000 982964500 990828216 1011049200 1032112725 1038604000 1100920240 1123388000 1132375104 1168429500 1179557400 1238535270 1246324800 1263811500 1308888000 1321104288 1335348000 1348065600 1376150300 1415468880 1444356000 1474446750 1557906000 1572743200 1651380360 1685082000 1720187875 1769336100 1869487200 1887291840 1965929000 1981656432 2022098400 2064225450 2077208000 2201840480 2211670125 2246776000 2336859000 2359114800 2477070540 2527623000 2642208576 2670696000 2752300600 2830937760 2888712000 2948893500 3096338175 3115812000 3145486400 3302760720 3370164000 3440375750 3538672200 3738974400 3931858000 3963312864 4044196800 4128450900 4403680960 4423340250 4673718000 4718229600 4954141080 5055246000 5160563625 5504601200 5661875520 5897787000 6192676350 6231624000 6605521440 6740328000 6880751500 7077344400 7863716000 7926625728 8256901800 8846680500 9347436000 9436459200 9908282160 10110492000 10321127250 11009202400 11795574000 12385352700 13211042880 13761503000 14154688800 15481690875 15727432000 16513803600 17693361000 18694872000 19816564320 20220984000 20642254500 22018404800 23591148000 24770705400 27523006000 28309377600 30963381750 33027607200 35386722000 39633128640 41284509000 47182296000 49541410800 55046012000 61926763500 66055214400 70773444000 82569018000 99082821600 110092024000 123853527000 141546888000 165138036000 198165643200 247707054000 330276072000 495414108000 990828216000
- Sum of all divisors σ(n): 4216912876800
- Sum of proper divisors (its aliquot sum) s(n): 3226084660800
- 990828216000 is an abundant number, because the sum of its proper divisors (3226084660800) is greater than itself. Its abundance is 2235256444800
Bases of 990828216000
- Binary: 11100110101100011111011010111110110000002
- Hexadecimal: 0xE6B1F6BEC0
- Base-36: CN6HJCG0
Squares and roots of 990828216000
- 990828216000 squared (9908282160002) is 981740553621742656000000
- 990828216000 cubed (9908282160003) is 972736241319883614655581696000000000
-
The
square root of 990828216000 is 995403.5442974875 -
The
cube root of 990828216000 is 9969.3334390037
Scales and comparisons
How big is 990828216000?- 990,828,216,000 seconds is equal to 31,505 years, 14 weeks, 1 day, 4 hours.
-
To count from 1 to 990,828,216,000 would take you about sixty-three thousand and ten 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 990828216000 cubic inches would be around 830.8 feet tall.
Recreational maths with 990828216000
- 990828216000 backwards is 000612828099
- 990828216000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 990828216000's digits is 45
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 990828216000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 September 2024.
APA style:
Numbermatics. (2024). Number 990828216000 - Facts about the integer. Retrieved 25 September 2024, from https://numbermatics.com/n/990828216000/
Chicago style:
Numbermatics. 2024. "Number 990828216000 - Facts about the integer". https://numbermatics.com/n/990828216000/
The information we have on file for 990828216000 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!
Keywords: Divisors of 990828216000, math, Factors of 990828216000, curriculum, school, college, exams, university, Prime factorization of 990828216000, STEM, science, technology, engineering, physics, economics, calculator, nine hundred ninety billion, eight hundred twenty-eight million, two hundred sixteen thousand.