993988693418370144
993,988,693,418,370,144 is an even composite number composed of eight prime numbers multiplied together.
993988693418370144 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 993988693418370144:
25 × 3 × 112 × 43 × 61 × 257 × 2801 × 45319
(2 × 2 × 2 × 2 × 2 × 3 × 11 × 11 × 43 × 61 × 257 × 2801 × 45319)See below for interesting mathematical facts about the number 993988693418370144 from the Numbermatics database.
Names of 993988693418370144
- Cardinal: 993988693418370144 can be written as Nine hundred ninety-three quadrillion, nine hundred eighty-eight trillion, six hundred ninety-three billion, four hundred eighteen million, three hundred seventy thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 9.93988693418370144 × 1017
Factors of 993988693418370144
Divisors of 993988693418370144
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 24 32 33 43 44 48 61 66 86 88 96 121 122 129 132 172 176 183 242 244 257 258 264 344 352 363 366 473 484 488 514 516 528 671 688 726 732 771 946 968 976 1028 1032 1056 1342 1376 1419 1452 1464 1542 1892 1936 1952 2013 2056 2064 2623 2684 2801 2827 2838 2904 2928 3084 3784 3872 4026 4112 4128 5203 5246 5368 5602 5654 5676 5808 5856 6168 7381 7568 7869 8052 8224 8403 8481 10406 10492 10736 11051 11204 11308 11352 11616 12336 14762 15136 15609 15677 15738 16104 16806 16962 20812 20984 21472 22102 22143 22408 22616 22704 24672 28853 29524 30811 31097 31218 31354 31476 32208 33153 33612 33924 41624 41968 44204 44286 44816 45232 45319 45408 47031 57706 59048 61622 62194 62436 62708 62952 64416 66306 67224 67848 83248 83936 86559 88408 88572 89632 90464 90638 92433 93291 94062 115412 118096 120443 121561 123244 124388 124872 125416 125904 132612 134448 135696 135957 166496 170861 172447 173118 176816 177144 181276 184866 186582 188124 230824 236192 240886 243122 246488 248776 249744 250832 251808 265224 268896 271392 271914 317383 338921 341722 344894 346236 353632 354288 361329 362552 364683 369732 373164 376248 461648 481772 486244 492976 497552 498509 499488 501664 512583 517341 530448 543828 634766 674111 677842 683444 689788 692472 708576 719857 722658 725104 729366 739464 746328 752496 923296 952149 963544 972488 985952 995104 997018 1016763 1025166 1034682 1060896 1087656 1269532 1324873 1337171 1348222 1355684 1366888 1379576 1384944 1439714 1445316 1450208 1458732 1478928 1492656 1495527 1504992 1879471 1896917 1904298 1927088 1944976 1948717 1994036 2022333 2033526 2050332 2069364 2159571 2175312 2539064 2649746 2674342 2696444 2711368 2733776 2759152 2764459 2769888 2879428 2890632 2917464 2957856 2985312 2991054 3758942 3793834 3808596 3854176 3889952 3897434 3974619 3988072 4011513 4044666 4067052 4100664 4138728 4319142 4350624 5078128 5299492 5348684 5392888 5422736 5467552 5483599 5518304 5528918 5638413 5690751 5758856 5781264 5834928 5846151 5982108 7347023 7415221 7517884 7587668 7617192 7794868 7918427 7949238 7976144 8023026 8089332 8134104 8201328 8277456 8293377 8638284 10156256 10598984 10697368 10785776 10845472 10967198 11057836 11276826 11381502 11517712 11562528 11646983 11669856 11692302 11964216 14573603 14694046 14830442 15035768 15175336 15234384 15589736 15836854 15898476 15952288 16046052 16178664 16268208 16402656 16450797 16554912 16586754 17276568 20674181 21197968 21394736 21435887 21571552 21934396 22041069 22115672 22245663 22553652 22763004 23035424 23293966 23384604 23755281 23928432 29147206 29388092 29660884 30071536 30350672 30409049 30468768 30953851 31179472 31673708 31796952 32092104 32357328 32536416 32901594 33173508 34553136 34940949 41348362 42395936 42789472 42871774 43720809 43868792 43911277 44082138 44231344 44491326 45107304 45526008 46587932 46769208 47510562 47856864 58294412 58776184 59321768 60143072 60701344 60818098 61907702 62022543 62358944 63347416 63593904 64184208 64307661 64714656 65803188 66347016 69106272 69881898 80817253 81567431 82696724 85743548 87102697 87441618 87737584 87822554 88164276 88462688 88982652 90214608 91052016 91227147 92861553 93175864 93538416 95021124 116588824 117552368 118643536 118871737 121636196 123815404 124045086 126694832 126938519 127187808 128116813 128368416 128615322 131606376 131733831 132694032 139763796 161634506 163134862 165393448 171487096 174205394 174883236 175475168 175645108 176328552 177965304 180429216 182104032 182454294 185723106 186351728 187076832 190042248 233177648 235104736 235794757 237287072 237743474 242451759 243272392 244702293 247630808 248090172 253389664 253877038 256233626 257230644 261308091 263212752 263467662 265388064 279527592 323269012 326269724 330786896 334499539 340492361 342974192 348410788 349766472 351290216 352657104 355930608 356615211 364908588 371446212 372703456 380084496 380815557 384350439 466355296 471589514 475486948 483024047 484903518 486544784 489404586 495261616 496180344 500820269 507754076 512467252 514461288 522616182 526425504 526935324 559055184 646538024 652539448 661573792 668999078 680984722 685948384 696821576 699532944 702580432 705314208 707384271 710465963 711861216 713230422 729817176 742892424 760168992 761631114 768700878 888989783 943179028 950973896 966048094 969807036 973089568 978809172 990523232 992360688 1001640538 1003498617 1015508152 1021477083 1024934504 1028922576 1045232364 1053870648 1118110368 1293076048 1305078896 1307589107 1337998156 1361969444 1393643152 1396323709 1399065888 1405160864 1409284943 1414768542 1420931926 1426460844 1449072141 1459634352 1485784848 1502460807 1523262228 1537401756 1777979566 1886358056 1888184911 1901947792 1932096188 1939614072 1957618344 1984721376 2003281076 2006997234 2031016304 2042954166 2049869008 2057845152 2090464728 2107741296 2131397889 2586152096 2610157792 2615178214 2666969349 2675996312 2723938888 2787286304 2792647418 2818569886 2829537084 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87333701072 88144367344 89889983304 90632875728 91650109227 92157364794 92918995908 93781507116 97869598149 115067841416 119853311072 120083838974 121198505098 122200145636 122876486392 123891994544 124620204126 125042009488 125528554272 127518348408 130492797532 131000551608 132216551016 134047076064 135291354528 166160272168 170024464544 170351492498 171932763046 172601762124 174667402144 176288734688 179779966608 180125758461 181265751456 181797757647 183300218454 184314729588 185837991816 187563014232 195739196298 228470374231 230135682832 240167677948 242397010196 244400291272 245752972784 247783989088 249240408252 250084018976 255036696816 255527238747 257899144569 260985595064 262001103216 264433102032 332320544336 332959735337 336050400499 340702984996 343865526092 345203524248 358855193213 359559933216 360251516922 363595515294 366600436908 368629459176 371675983632 375126028464 391478392596 456940748462 460271365664 480335355896 484794020392 488800582544 491505945568 498480816504 510073393632 511054477494 515798289138 521971190128 524002206432 528866204064 660461114357 664641088672 665919470674 672100800998 681405969992 685411122693 687731052184 690407048496 717710386426 720503033844 727191030588 733200873816 737258918352 743351967264 750252056928 782956785192 913881496924 936933208739 960670711792 969588040784 977601165088 996961633008 998879206011 1008151201497 1022108954988 1031596578276 1043942380256 1076565579639 1320922228714 1331838941348 1344201601996 1362811939984 1370822245386 1375462104368 1380814096992 1402797573469 1435420772852 1441006067688 1454382061176 1466401747632 1474517836704 1565913570384 1827762993848 1873866417478 1921341423584 1939176081568 1981383343071 1990015162363 1993923266016 1997758412022 2016302402994 2044217909976 2063193156552 2153131159278 2641844457428 2663677882696 2688403203992 2725623879968 2741644490772 2750924208736 2805595146938 2810799626217 2870841545704 2882012135376 2908764122352 2932803495264 3131827140768 3655525987696 3662557088707 3696554405489 3747732834956 3947407125343 3962766686142 3980030324726 3995516824044 4032604805988 4088435819952 4126386313104 4208392720407 4306262318556 5283688914856 5327355765392 5376806407984 5483288981544 5611190293876 5621599252434 5741683091408 5764024270752 5817528244704 5970045487089 7311051975392 7325114177414 7393108810978 7495465669912 7894814250686 7925533372284 7960060649452 7991033648088 8065209611976 8176871639904 8252772626208 8416785440814 8612524637112 10567377829712 10654711530784 10753612815968 10966577963088 10987671266121 11089663216467 11222380587752 11243198504868 11483366182816 11842221376029 11940090974178 14650228354828 14786217621956 14990931339824 15430773308159 15789628501372 15851066744568 15920121298904 15982067296176 16130419223952 16833570881628 17225049274224 21134755659424 21890166785993 21933155926176 21975342532242 22179326432934 22444761175504 22486397009736 23684442752058 23880181948356 29300456709656 29572435243912 29981862679648 30861546616318 31579257002744 31702133489136 31840242597808 31964134592352 32260838447904 33667141763256 34450098548448 40288127975777 43780333571986 43950685064484 44358652865868 44889522351008 44972794019472 46292319924477 47368885504116 47760363896712 58600913419312 59144870487824 61723093232636 63158514005488 63404266978272 63680485195616 65670500357979 67334283526512 80576255951554 85570651981609 87560667143972 87901370128968 88717305731736 89945588038944 92584639848954 94737771008232 95520727793424 117201826838624 118289740975648 120864383927331 123446186465272 126317028010976 131341000715958 134668567053024 161152511903108 169738506389749 171141303963218 175121334287944 175802740257936 177434611463472 185169279697908 189475542016464 191041455586848 240791834645923 241728767854662 246892372930544 256711955944827 262682001431916 322305023806216 339477012779498 342282607926436 350242668575888 351605480515872 354869222926944 370338559395816 378951084032928 481583669291846 483457535709324 493784745861088 509215519169247 513423911889654 525364002863832 644610047612432 678954025558996 684565215852872 700485337151776 722375503937769 740677118791632 941277171797699 963167338583692 966915071418648 1018431038338494 1026847823779308 1050728005727664 1289220095224864 1357908051117992 1369130431705744 1444751007875538 1481354237583264 1882554343595398 1926334677167384 1933830142837296 2036862076676988 2053695647558616 2101456011455328 2715816102235984 2738260863411488 2823831515393097 2889502015751076 3765108687190796 3852669354334768 3867660285674592 4073724153353976 4107391295117232 5431632204471968 5647663030786194 5779004031502152 7530217374381592 7705338708669536 8147448306707952 8214782590234464 10354048889774689 11295326061572388 11558008063004304 15060434748763184 16294896613415904 20708097779549378 22590652123144776 23116016126008608 30120869497526368 31062146669324067 41416195559098756 45181304246289552 62124293338648134 82832391118197512 90362608492579104 124248586677296268 165664782236395024 248497173354592536 331329564472790048 496994346709185072 993988693418370144
- Sum of all divisors σ(n): 2995534224449141760
- Sum of proper divisors (its aliquot sum) s(n): 2001545531030771616
- 993988693418370144 is an abundant number, because the sum of its proper divisors (2001545531030771616) is greater than itself. Its abundance is 1007556837612401472
Bases of 993988693418370144
- Binary: 1101110010110101101101110011010001011111010011100100011000002
- Hexadecimal: 0xDCB5B7345F4E460
- Base-36: 7JV7L1VLREQO
Squares and roots of 993988693418370144
- 993988693418370144 squared (9939886934183701442) is 988013522643558634424597161390580736
- 993988693418370144 cubed (9939886934183701443) is 982074270452152111642903026058795479840586550763945984
-
The
square root of 993988693418370144 is 996989816.1056461583 -
The
cube root of 993988693418370144 is 997992.2025869831
Scales and comparisons
How big is 993988693418370144?- 993,988,693,418,370,144 seconds is equal to 31,605,765,841 years, 41 weeks, 5 days, 7 hours, 42 minutes, 24 seconds.
-
To count from 1 to 993,988,693,418,370,144 would take you about ninety-four billion, eight hundred seventeen million, two hundred ninety-seven thousand, five hundred twenty-five 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 993988693418370144 cubic inches would be around 83166 feet tall.
Recreational maths with 993988693418370144
- 993988693418370144 backwards is 441073814396889399
- 993988693418370144 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 993988693418370144's digits is 96
- More coming soon!
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The information we have on file for 993988693418370144 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 993988693418370144, math, Factors of 993988693418370144, curriculum, school, college, exams, university, Prime factorization of 993988693418370144, STEM, science, technology, engineering, physics, economics, calculator, nine hundred ninety-three quadrillion, nine hundred eighty-eight trillion, six hundred ninety-three billion, four hundred eighteen million, three hundred seventy thousand, one hundred forty-four.