990041646048
990,041,646,048 is an even composite number composed of seven prime numbers multiplied together.
990041646048 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 990041646048:
25 × 3 × 72 × 132 × 103 × 107 × 113
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 13 × 13 × 103 × 107 × 113)See below for interesting mathematical facts about the number 990041646048 from the Numbermatics database.
Names of 990041646048
- Cardinal: 990041646048 can be written as Nine hundred ninety billion, forty-one million, six hundred forty-six thousand and forty-eight.
Scientific notation
- Scientific notation: 9.90041646048 × 1011
Factors of 990041646048
Divisors of 990041646048
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 78 84 91 96 98 103 104 107 112 113 147 156 168 169 182 196 206 208 214 224 226 273 294 309 312 321 336 338 339 364 392 412 416 428 452 507 546 588 618 624 637 642 672 676 678 721 728 749 784 791 824 856 904 1014 1092 1176 1183 1236 1248 1274 1284 1339 1352 1356 1391 1442 1456 1469 1498 1568 1582 1648 1712 1808 1911 2028 2163 2184 2247 2352 2366 2373 2472 2548 2568 2678 2704 2712 2782 2884 2912 2938 2996 3164 3296 3424 3549 3616 3822 4017 4056 4173 4326 4368 4407 4494 4704 4732 4746 4944 5047 5096 5136 5243 5356 5408 5424 5537 5564 5768 5876 5992 6328 7098 7644 8034 8112 8281 8346 8652 8736 8814 8988 9373 9464 9492 9737 9888 10094 10192 10272 10283 10486 10712 10848 11021 11074 11128 11536 11639 11752 11984 12091 12656 14196 15141 15288 15729 16068 16224 16562 16611 16692 17304 17407 17628 17976 18083 18746 18928 18984 19097 19474 20188 20384 20566 20972 21424 22042 22148 22256 23072 23278 23504 23968 24182 24843 25312 28119 28392 29211 30282 30576 30849 31458 32136 33063 33124 33222 33384 34608 34814 34917 35256 35952 36166 36273 37492 37856 37968 38194 38948 40376 41132 41944 42848 44084 44296 44512 46556 47008 48364 49686 52221 54249 56238 56784 57291 58422 60564 61152 61698 62916 64272 65611 66126 66248 66444 66768 68159 69216 69628 69834 70512 71904 71981 72332 72546 74984 75936 76388 77147 77896 80752 81473 82264 83888 84637 88168 88592 93112 96728 99372 104442 108498 112476 113568 114582 116844 121128 121849 123396 125832 126581 128544 131222 132252 132496 132888 133536 133679 136318 139256 139668 141024 143273 143962 144664 145092 149968 151307 152776 154294 155792 157183 161504 162946 164528 167776 169274 176336 177184 186224 193456 196833 198744 204477 208884 215943 216996 224952 229164 231441 233688 242256 243698 244419 246792 251664 253162 253911 262444 264504 264992 265776 267358 272636 278512 279336 286546 287924 289328 290184 299936 302614 305552 308588 311584 314366 325892 329056 338548 352672 365547 372448 379743 386912 393666 397488 401037 408954 417768 429819 431886 433992 449904 453921 458328 462882 467376 471549 484512 487396 488838 493584 503328 506324 507822 524888 529008 531552 534716 540029 545272 557024 558672 570311 573092 575848 578656 580368 592459 605228 611104 617176 628732 651784 677096 731094 759486 787332 794976 802074 817908 835536 852943 859638 863772 867984 886067 899808 907842 916656 925764 934752 935753 943098 974792 977676 987168 1002911 1012648 1015644 1049776 1058016 1059149 1069432 1080058 1090544 1100281 1117344 1140622 1146184 1151696 1160736 1184918 1210456 1234352 1245373 1257464 1303568 1354192 1462188 1518972 1574664 1604148 1620087 1635816 1671072 1705886 1710933 1719276 1727544 1735968 1772134 1777377 1815684 1833312 1851528 1862549 1871506 1886196 1949584 1955352 1966991 2005822 2025296 2031288 2043379 2099552 2118298 2138864 2160116 2181088 2200562 2281244 2292368 2303392 2369836 2420912 2468704 2490746 2514928 2558829 2607136 2658201 2708384 2807259 2924376 3008733 3037944 3149328 3177447 3208296 3240174 3271632 3300843 3411772 3421866 3438552 3455088 3544268 3554754 3631368 3703056 3725098 3736119 3743012 3772392 3899168 3910704 3933982 4011644 4050592 4062576 4086758 4236596 4277728 4320232 4401124 4562488 4584736 4739672 4841824 4981492 5029856 5117658 5316402 5587647 5614518 5848752 5900973 6017466 6075888 6130137 6298656 6354894 6416592 6480348 6543264 6601686 6823544 6843732 6877104 6910176 7020377 7088536 7109508 7262736 7406112 7414043 7450196 7472238 7486024 7544784 7701967 7821408 7867964 8023288 8125152 8173516 8473192 8640464 8717611 8802248 9124976 9479344 9962984 10235316 10632804 11175294 11229036 11697504 11801946 12034932 12151776 12260274 12709788 12833184 12960696 13037843 13203372 13647088 13687464 13754208 13768937 14040754 14177072 14219016 14303653 14525472 14828086 14900392 14944476 14972048 15089568 15403934 15735928 16046576 16189849 16347032 16946384 17280928 17435222 17604496 18249952 18958688 19925968 20470632 21061131 21265608 22242129 22350588 22458072 23105901 23603892 24069864 24520548 25419576 25921392 26075686 26152833 26406744 27294176 27374928 27537874 28081508 28354144 28438032 28607306 29656172 29800784 29888952 29944096 30807868 31471856 32093152 32379698 32694064 33892768 34870444 35208992 39113529 39851936 40941264 41306811 42122262 42531216 42910959 44484258 44701176 44916144 46211802 47207784 48139728 48569547 49041096 50839152 51842784 52151372 52305666 52813488 54749856 55075748 56163016 56876064 57214612 59312344 59601568 59777904 61023277 61615736 62943712 64759396 65388128 69740888 78227058 81882528 82613622 84244524 85062432 85821918 88968516 89402352 89832288 91264901 92423604 94415568 96279456 96382559 97139094 98082192 100125571 101678304 104302744 104611332 105626976 110151496 112326032 113328943 114429224 118624688 119555808 122046554 123231472 129518792 139481776 156454116 165227244 168489048 171643836 177937032 178804704 182529802 183069831 184847208 188831136 192765118 194278188 196164384 200251142 208605488 209222664 210468037 220302992 224652064 226657886 228858448 237249376 244093108 246462944 259037584 273794703 278963552 289147677 300376713 312908232 330454488 336978096 339986829 343287672 355874064 365059604 366139662 369694416 385530236 388556376 400502284 417210976 418445328 420936074 440605984 453315772 457716896 488186216 518075168 547589406 578295354 600753426 625816464 631404111 660908976 673956192 679973658 686575344 711748128 730119208 732279324 739388832 771060472 777112752 793302601 801004568 836890656 841872148 906631544 976372432 1095178812 1156590708 1201506852 1251632928 1262808222 1321817952 1359947316 1373150688 1460238416 1464558648 1473276259 1542120944 1554225504 1586605202 1602009136 1683744296 1813263088 1952744864 2190357624 2313181416 2379907803 2403013704 2525616444 2719894632 2920476832 2929117296 2946552518 3084241888 3173210404 3204018272 3367488592 3626526176 4380715248 4419828777 4626362832 4759815606 4806027408 5051232888 5439789264 5858234592 5893105036 6346420808 6734977184 8761430496 8839657554 9252725664 9519631212 9612054816 10102465776 10312933813 10879578528 11786210072 12692841616 17679315108 19039262424 20204931552 20625867626 23572420144 25385683232 30938801439 35358630216 38078524848 41251735252 47144840288 61877602878 70717260432 76157049696 82503470504 123755205756 141434520864 165006941008 247510411512 330013882016 495020823024 990041646048
- Sum of all divisors σ(n): 3365800978176
- Sum of proper divisors (its aliquot sum) s(n): 2375759332128
- 990041646048 is an abundant number, because the sum of its proper divisors (2375759332128) is greater than itself. Its abundance is 1385717686080
Bases of 990041646048
- Binary: 11100110100000110001010010100011111000002
- Hexadecimal: 0xE68314A3E0
- Base-36: CMTH8F6O
Squares and roots of 990041646048
- 990041646048 squared (9900416460482) is 980182460909433314018304
- 990041646048 cubed (9900416460483) is 970421457026154773261569365361262592
-
The
square root of 990041646048 is 995008.3648130803 -
The
cube root of 990041646048 is 9966.6946855755
Scales and comparisons
How big is 990041646048?- 990,041,646,048 seconds is equal to 31,480 years, 13 weeks, 4 days, 8 hours, 20 minutes, 48 seconds.
-
To count from 1 to 990,041,646,048 would take you about sixty-two thousand, nine hundred sixty 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 990041646048 cubic inches would be around 830.6 feet tall.
Recreational maths with 990041646048
- 990041646048 backwards is 840646140099
- The number of decimal digits it has is: 12
- The sum of 990041646048's digits is 51
- More coming soon!
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