9973513140864
9,973,513,140,864 is an even composite number composed of seven prime numbers multiplied together.
What does the number 9973513140864 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
9973513140864 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 9973513140864:
27 × 3 × 7 × 132 × 192 × 61 × 997
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 13 × 19 × 19 × 61 × 997)See below for interesting mathematical facts about the number 9973513140864 from the Numbermatics database.
Names of 9973513140864
- Cardinal: 9973513140864 can be written as Nine trillion, nine hundred seventy-three billion, five hundred thirteen million, one hundred forty thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 9.973513140864 × 1012
Factors of 9973513140864
Divisors of 9973513140864
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 32 38 39 42 48 52 56 57 61 64 76 78 84 91 96 104 112 114 122 128 133 152 156 168 169 182 183 192 208 224 228 244 247 266 273 304 312 336 338 361 364 366 384 399 416 427 448 456 488 494 507 532 546 608 624 672 676 722 728 732 741 793 798 832 854 896 912 976 988 997 1014 1064 1083 1092 1159 1183 1216 1248 1281 1344 1352 1444 1456 1464 1482 1586 1596 1664 1708 1729 1824 1952 1976 1994 2028 2128 2166 2184 2318 2366 2379 2432 2496 2527 2562 2688 2704 2888 2912 2928 2964 2991 3172 3192 3211 3416 3458 3477 3549 3648 3904 3952 3988 4056 4256 4332 4368 4636 4693 4732 4758 4992 5054 5124 5187 5408 5551 5776 5824 5856 5928 5982 6344 6384 6422 6832 6916 6954 6979 7098 7296 7581 7808 7904 7976 8112 8113 8512 8664 8736 9272 9386 9464 9516 9633 10108 10248 10309 10374 10816 11102 11552 11648 11712 11856 11964 12688 12768 12844 12961 13664 13832 13908 13958 14079 14196 15067 15162 15808 15952 16224 16226 16653 17024 17328 17472 18544 18772 18928 18943 19032 19266 20216 20496 20618 20748 20937 21632 22021 22204 22477 23104 23424 23712 23928 24339 25376 25536 25688 25922 27328 27664 27816 27916 28158 28392 30134 30324 30927 31616 31904 32448 32452 32851 33306 34656 34944 37088 37544 37856 37886 38064 38532 38883 40432 40992 41236 41496 41874 44042 44408 44954 45201 46208 47424 47856 48678 50752 51072 51376 51844 54656 55328 55632 55832 56316 56784 56829 60268 60648 60817 61009 61854 63808 64896 64904 65702 66063 66612 67431 69312 72163 74176 75088 75712 75772 76128 77064 77766 80864 81984 82472 82992 83748 88084 88816 89908 90402 90727 94848 95712 97356 98553 101504 102752 103688 105469 110656 111264 111664 112632 113568 113658 120536 121296 121634 122018 123708 127616 129808 131404 132126 132601 133224 134862 138624 144326 148352 150176 151424 151544 152256 154128 154147 155532 161728 163968 164944 165984 167496 168493 176168 177632 179816 180804 181454 182451 183027 191424 194712 195871 197106 205504 207376 210938 216489 221312 222528 223328 225264 227136 227316 241072 242592 243268 244036 246259 247416 259616 262808 264252 265202 266448 269724 272181 286273 288652 300352 303088 304512 308256 308294 311064 316407 323456 329888 331968 334992 336986 352336 355264 359632 359917 361608 362908 364902 366054 382848 389424 391742 394212 397803 411008 414752 421876 425719 427063 432978 445056 446656 450528 454272 454632 462441 482144 485184 486536 488072 492518 494832 505479 519232 525616 528504 530404 532896 539448 544362 572546 577304 587613 600704 606176 616512 616588 622128 632814 659776 663936 669984 673972 704672 710528 719264 719834 723216 725816 729804 732108 738777 778848 783484 788424 790621 795606 829504 843752 851438 854126 858819 865956 893312 901056 909264 924882 964288 970368 973072 976144 985036 989664 1010958 1038464 1051232 1057008 1060808 1065792 1078896 1079751 1088724 1145092 1154608 1155523 1175226 1179451 1212352 1233024 1233176 1244256 1265628 1277157 1281189 1319552 1339968 1347944 1371097 1409344 1438528 1439668 1446432 1451632 1459608 1464216 1477554 1557696 1566968 1576848 1581242 1591212 1659008 1687504 1702876 1708252 1717638 1723813 1731912 1802112 1818528 1849764 1928576 1946144 1952288 1970072 1979328 2003911 2021916 2102464 2114016 2121616 2131584 2157792 2159502 2177448 2290184 2309216 2311046 2350452 2358902 2371863 2424704 2466352 2488512 2519419 2531256 2554314 2562378 2679936 2695888 2742194 2818688 2877056 2879336 2892864 2903264 2919216 2928432 2955108 3115392 3133936 3153696 3162484 3182424 3201367 3375008 3405752 3416504 3435276 3447626 3463824 3466569 3538353 3637056 3699528 3721549 3892288 3904576 3940144 3958656 4007822 4043832 4113291 4204928 4228032 4243232 4315584 4319004 4354896 4580368 4618432 4622092 4678921 4700904 4717804 4743726 4932704 4977024 5038838 5062512 5108628 5124756 5171439 5391776 5484388 5534347 5758672 5785728 5806528 5838432 5856864 5910216 6011733 6267872 6307392 6324968 6364848 6402734 6750016 6811504 6833008 6870552 6895252 6927648 6933138 7076706 7274112 7399056 7443098 7558257 7784576 7809152 7880288 8015644 8087664 8088661 8226582 8456064 8486464 8631168 8638008 8709792 9160736 9236864 9244184 9357842 9401808 9435608 9487452 9604101 9865408 10077676 10125024 10217256 10249512 10278073 10342878 10783552 10968776 11068694 11164647 11517344 11613056 11676864 11713728 11820432 12023466 12535744 12614784 12649936 12729696 12805468 13500032 13623008 13666016 13741104 13790504 13855296 13866276 14036763 14153412 14798112 14886196 15021799 15116514 15760576 16031288 16175328 16177322 16453164 16603041 16972928 17276016 17419584 18321472 18488368 18715684 18803616 18871216 18974904 19208202 19730816 20155352 20250048 20434512 20499024 20556146 20685756 21567104 21937552 21954937 22137388 22329294 22409569 23034688 23353728 23427456 23640864 24046932 24265983 25071488 25299872 25459392 25610936 26050843 27246016 27332032 27482208 27581008 27710592 27732552 28073526 28306824 29596224 29772392 30043598 30233028 30834219 31521152 32062576 32350656 32354644 32752447 32906328 33206082 34552032 34839168 36642944 36976736 37431368 37607232 37742432 37949808 38416404 40310704 40500096 40869024 40998048 41112292 41371512 43875104 43909874 44274776 44658588 44819138 45065397 46069376 47281728 48093864 48531966 50599744 50918784 51221872 52101686 54492032 54664064 54964416 55162016 55465104 56147052 56613648 59192448 59544784 60087196 60466056 60825973 61668438 64125152 64701312 64709288 65504894 65812656 65864811 66412164 67228707 69104064 71946511 73953472 74862736 75214464 75484864 75899616 76832808 78152529 80621408 81738048 81996096 82224584 82743024 87750208 87819748 88549552 89317176 89638276 90130794 94563456 96187728 97063932 98257341 101199488 102443744 104203372 105152593 109928832 110324032 110930208 112294104 113227296 119089568 120174392 120932112 121651946 123336876 128250304 129418576 131009788 131625312 131729622 132824328 134457414 138208128 143893022 147906944 149725472 150969728 151799232 153665616 153684559 156305058 161242816 163476096 163992192 164449168 165486048 175500416 175639496 177099104 178634352 179276552 180261588 182477919 192375456 194127864 195283387 196514682 204887488 208406744 210305186 215839533 220648064 221860416 224588208 226454592 238179136 240348784 241864224 243303892 246673752 256500608 258837152 262019576 263250624 263459244 265648656 268914828 285414181 287786044 299450944 303598464 307331232 307369118 312610116 315457779 322485632 328898336 330972096 351278992 354198208 357268704 358553104 360523176 364955838 384750912 388255728 390566774 393029364 409774976 416813488 420610372 425781811 431679066 443720832 449176416 452909184 461053677 476358272 480697568 483728448 486607784 493347504 517674304 524039152 526501248 526918488 531297312 537829656 570828362 575572088 585850161 598901888 614662464 614738236 625220232 630915558 657796672 661944192 702557984 708396416 714537408 717106208 721046352 729911676 769501824 776511456 781133548 786058728 833626976 841220744 851563622 856242543 863358132 898352832 922107354 961395136 967456896 973215568 986695008 1035348608 1048078304 1053836976 1062594624 1075659312 1141656724 1151144176 1171700322 1229324928 1229476472 1250440464 1261831116 1277345433 1315593344 1366983709 1405115968 1429074816 1434212416 1442092704 1459823352 1553022912 1562267096 1572117456 1667253952 1682441488 1703127244 1712485086 1726716264 1796705664 1844214708 1922790272 1946431136 1973390016 1997899267 2096156608 2107673952 2125189248 2151318624 2283313448 2302288352 2343400644 2458952944 2500880928 2523662232 2554690866 2733967418 2810231936 2868424832 2884185408 2919646704 3106045824 3124534192 3144234912 3334507904 3364882976 3406254488 3424970172 3453432528 3688429416 3710384353 3892862272 3946780032 3995798534 4100951127 4192313216 4215347904 4302637248 4566626896 4604576704 4686801288 4917905888 5001761856 5047324464 5109381732 5467934836 5768370816 5839293408 5993697801 6249068384 6288469824 6729765952 6812508976 6849940344 6906865056 7376858832 7420768706 7785724544 7991597068 8201902254 8430695808 8605274496 9133253792 9209153408 9373602576 9835811776 10003523712 10094648928 10218763464 10935869672 11131153059 11678586816 11987395602 12498136768 12576939648 13459531904 13625017952 13699880688 13813730112 14753717664 14841537412 15983194136 16403804508 18266507584 18747205152 19671623552 20189297856 20437526928 21871739344 22262306118 23357173632 23974791204 24996273536 25972690471 27250035904 27399761376 27627460224 29507435328 29683074824 31966388272 32807609016 36533015168 37494410304 40378595712 40875053856 43743478688 44524612236 47949582408 51945380942 54500071808 54799522752 59014870656 59366149648 63932776544 65615218032 74988820608 77918071413 81750107712 87486957376 89049224472 95899164816 103890761884 109599045504 118732299296 127865553088 131230436064 155836142826 163500215424 174973914752 178098448944 191798329632 207781523768 237464598592 255731106176 262460872128 311672285652 356196897888 383596659264 415563047536 474929197184 524921744256 623344571304 712393795776 767193318528 831126095072 1246689142608 1424787591552 1662252190144 2493378285216 3324504380288 4986756570432 9973513140864
- Sum of all divisors σ(n): 35203711639680
- Sum of proper divisors (its aliquot sum) s(n): 25230198498816
- 9973513140864 is an abundant number, because the sum of its proper divisors (25230198498816) is greater than itself. Its abundance is 15256685357952
Bases of 9973513140864
- Binary: 100100010010001000111011010100111010100000002
- Hexadecimal: 0x91223B53A80
- Base-36: 3J9RO7REO
Squares and roots of 9973513140864
- 9973513140864 squared (99735131408642) is 99470964370986890306666496
- 9973513140864 cubed (99735131408643) is 992074970288452498457809600678717292544
-
The
square root of 9973513140864 is 3158086.9432084987 -
The
cube root of 9973513140864 is 21525.3086789383
Scales and comparisons
How big is 9973513140864?- 9,973,513,140,864 seconds is equal to 317,126 years, 45 weeks, 20 hours, 54 minutes, 24 seconds.
-
To count from 1 to 9,973,513,140,864 would take you about seven hundred ninety-two thousand, eight hundred seventeen 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 9973513140864 cubic inches would be around 1793.8 feet tall.
Recreational maths with 9973513140864
- 9973513140864 backwards is 4680413153799
- The number of decimal digits it has is: 13
- The sum of 9973513140864's digits is 60
- More coming soon!
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The information we have on file for 9973513140864 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 9973513140864, math, Factors of 9973513140864, curriculum, school, college, exams, university, Prime factorization of 9973513140864, STEM, science, technology, engineering, physics, economics, calculator, nine trillion, nine hundred seventy-three billion, five hundred thirteen million, one hundred forty thousand, eight hundred sixty-four.