120313932833680768
120,313,932,833,680,768 is an even composite number composed of six prime numbers multiplied together.
What does the number 120313932833680768 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
120313932833680768 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 120313932833680768:
27 × 72 × 132 × 173 × 43 × 7332
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 13 × 13 × 17 × 17 × 17 × 43 × 733 × 733)See below for interesting mathematical facts about the number 120313932833680768 from the Numbermatics database.
Names of 120313932833680768
- Cardinal: 120313932833680768 can be written as One hundred twenty quadrillion, three hundred thirteen trillion, nine hundred thirty-two billion, eight hundred thirty-three million, six hundred eighty thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.20313932833680768 × 1017
Factors of 120313932833680768
Divisors of 120313932833680768
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 7 8 13 14 16 17 26 28 32 34 43 49 52 56 64 68 86 91 98 104 112 119 128 136 169 172 182 196 208 221 224 238 272 289 301 338 344 364 392 416 442 448 476 544 559 578 602 637 676 688 728 731 733 784 832 833 884 896 952 1088 1118 1156 1183 1204 1274 1352 1376 1456 1462 1466 1547 1568 1664 1666 1768 1904 2023 2107 2176 2236 2312 2366 2408 2548 2704 2752 2873 2912 2924 2932 3094 3136 3332 3536 3757 3808 3913 4046 4214 4472 4624 4732 4816 4913 5096 5117 5131 5408 5504 5746 5824 5848 5864 6188 6272 6664 7072 7267 7514 7616 7826 8092 8281 8428 8944 9248 9464 9503 9529 9632 9826 10192 10234 10262 10816 10829 11492 11648 11696 11728 12376 12427 12461 13328 14144 14161 14534 15028 15232 15652 16184 16562 16856 17888 18496 18928 19006 19058 19264 19652 20111 20384 20468 20524 21632 21658 22984 23392 23456 24752 24854 24922 26299 26656 27391 28288 28322 29068 30056 31304 31519 32368 33124 33712 34391 35776 35819 35917 36992 37856 38012 38116 38528 39304 40222 40768 40936 41048 43316 45968 46784 46912 48841 49504 49708 49844 50869 52598 53312 54782 56644 58136 60112 62608 63038 63869 64736 66248 66521 66703 67424 68782 71552 71638 71834 75712 76024 76232 78608 80444 81536 81872 82096 86632 86989 87227 91936 93568 93824 97682 99008 99416 99688 101738 105196 106624 109564 113288 116272 120224 123539 123877 125216 126076 127738 129472 132496 133042 133406 134848 137564 140777 143276 143668 151424 152048 152464 157216 160888 161551 161993 163744 164192 173264 173978 174454 183872 184093 195364 198016 198832 199376 203476 210392 211259 211837 219128 220633 226576 232544 240448 240737 247078 247754 250432 252152 255476 258944 264992 266084 266812 269696 275128 281554 286552 287336 304096 304928 314432 321776 323102 323986 327488 328384 341887 346528 347956 348908 356083 367744 368186 390728 397664 398752 406952 409747 420784 422518 423674 438256 441266 447083 453152 465088 465647 466921 480896 481474 494156 495508 500864 504304 510952 529984 532168 533624 535823 537289 550256 563108 573104 574672 608192 608923 609856 610589 628864 643552 646204 647972 654976 656768 683774 693056 695912 697816 712166 736372 781456 795328 797504 813904 819494 830297 841568 845036 847348 864773 867139 876512 882532 894166 906304 930176 931294 933842 962948 988312 991016 1008608 1021904 1059968 1064336 1067248 1071646 1074578 1100512 1126216 1130857 1133951 1146208 1149344 1216384 1217846 1219712 1221178 1287104 1292408 1295944 1367548 1386112 1391824 1395632 1424332 1472744 1478813 1482859 1544431 1562912 1590656 1595008 1627808 1638988 1660594 1683136 1690072 1694696 1729546 1734278 1753024 1765064 1788332 1812608 1862588 1867684 1925896 1976624 1982032 2017216 2043808 2100163 2105909 2128672 2134496 2143292 2149156 2201024 2252432 2261714 2267902 2292416 2298688 2393209 2435692 2442356 2574208 2584816 2591888 2735096 2746367 2753881 2783648 2791264 2848664 2868229 2945488 2957626 2965718 3088862 3125824 3129581 3255616 3277976 3321188 3366272 3380144 3389392 3459092 3468556 3506048 3530128 3576664 3601229 3725176 3735368 3750761 3761023 3851792 3953248 3964064 4034432 4087616 4200326 4211818 4257344 4268992 4286584 4298312 4402048 4504864 4523428 4535804 4584832 4597376 4786418 4871384 4884712 5169632 5183776 5326711 5470192 5492734 5507762 5567296 5582528 5697328 5736458 5812079 5890976 5915252 5931436 6053411 6069973 6177724 6251648 6259162 6511232 6555952 6642376 6760288 6778784 6918184 6937112 6965699 6984757 7060256 7153328 7202458 7450352 7470736 7501522 7522046 7703584 7906496 7915999 7928128 7937657 8175232 8400652 8423636 8514688 8537984 8573168 8596624 9009728 9046856 9071608 9108991 9133913 9572836 9742768 9769424 10339264 10351691 10367552 10380013 10653422 10940384 10985468 11015524 11134592 11165056 11394656 11472916 11624158 11781952 11830504 11862872 12106822 12139946 12355448 12518324 13111904 13284752 13520576 13557568 13836368 13874224 13931398 13969514 14120512 14306656 14404916 14701141 14741363 14900704 14941472 15003044 15044092 15407168 15812992 15831998 15856256 15875314 16801304 16847272 17146336 17193248 18019456 18093712 18143216 18217982 18267826 19145672 19224569 19277167 19485536 19538848 20077603 20678528 20703382 20735104 20760026 21306844 21880768 21970936 22031048 22789312 22945832 23103427 23248316 23563904 23661008 23725744 24213644 24279892 24710896 25036648 25208603 26223808 26255327 26327161 26569504 27041152 27115136 27672736 27748448 27862796 27939028 28241024 28613312 28809832 29402282 29482726 29801408 29882944 30006088 30088184 30814336 31663996 31750628 33602608 33694544 34292672 34386496 35702771 35800453 36187424 36286432 36435964 36535652 37286977 38291344 38449138 38554334 38971072 39077696 40155206 40684553 41406764 41520052 42613688 43761536 43941872 44062096 45578624 45891664 46206854 46496632 46815977 47322016 47451488 48427288 48559784 48759893 48893299 49421792 50073296 50417206 52447616 52510654 52654322 53139008 55345472 55496896 55725592 55878056 57226624 57619664 58804564 58965452 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147823247992 150863108942 151275867106 153961237528 163387435744 168940854848 172414981648 172886705264 173599150478 175955700032 183190918001 183692124343 185677672544 186185682592 186952931284 191319478987 197045693312 197282527078 197584806016 197822287754 209361049144 209933856392 213660492896 218650833128 223927779712 224540441216 225465745232 226082614576 227014273702 235470127984 238574218792 240212777987 242809264096 243473584928 249886666432 250187010983 257675137408 258380130944 258690683986 265504583084 269108717696 272656250048 274528889128 283977616832 284754573376 285928012552 293629807744 295646495984 301726217884 302551734212 307922475056 326774871488 327167629747 337881709696 344829963296 345773410528 347198300956 351911400064 366381836002 367384248686 371355345088 372371365184 373905862568 382638957974 394565054156 395644575508 418722098288 419867712784 427320985792 437301666256 446109444833 450931490464 452165229152 454028547404 464633020397 470940255968 477148437584 480425555974 485618528192 486947169856 499773332864 500374021966 517381367972 531009166168 545312500096 549057778256 567955233664 569509146752 571856025104 591292991968 603452435768 605103468424 607597026673 615844950112 653549742976 654335259494 689659926592 691546821056 694396601912 732763672004 734768497372 742710690176 744742730368 747811725136 765277915948 789130108312 791289151016 794549957957 837444196576 839735425568 854641971584 874603332512 892218889666 901862980928 904330458304 908057094808 929266040794 941880511936 954296875168 960851111948 971237056384 973894339712 1000748043932 1034762735944 1062018332336 1098115556512 1128394478107 1143712050208 1182585983936 1206904871536 1210206936848 1215194053346 1231689900224 1282336426007 1285844870401 1308670518988 1379319853184 1383093642112 1388793203824 1465527344008 1469536994744 1475592779063 1495623450272 1530555831896 1578260216624 1582578302032 1589099915914 1674888393152 1679470851136 1681489445909 1749206665024 1784437779332 1803725961856 1808660916608 1816114189616 1858532081588 1883761023872 1908593750336 1921702223896 2001496087864 2069525471888 2124036664672 2196231113024 2256788956214 2287424100416 2365171967872 2413809743072 2420413873696 2430388106692 2463379800448 2564672852014 2571689740802 2617341037976 2777586407648 2931054688016 2939073989488 2951185558126 2991246900544 3061111663792 3122766113831 3156520433248 3165156604064 3178199831828 3252431142779 3349776786304 3358941702272 3362978891818 3498413330048 3568875558664 3632228379232 3717064163176 3817187500672 3843404447792 4002992175728 4139050943776 4248073329344 4253179186711 4392462226048 4513577912428 4574848200832 4827619486144 4840827747392 4860776213384 5129345704028 5143379481604 5234682075952 5555172815296 5561849705699 5862109376032 5878147978976 5902371116252 5982493801088 6122223327584 6245532227662 6313040866496 6330313208128 6356399663656 6504862285558 6725957783636 7137751117328 7264456758464 7434128326352 7686808895584 7898761346749 8005984351456 8278101887552 8496146658688 8506358373422 9027155824856 9655238972288 9681655494784 9721552426768 10258691408056 10286758963208 10329149453441 10469364151904 11110345630592 11123699411398 11724218752064 11756295957952 11804742232504 12244446655168 12491064455324 12626081732992 12660626416256 12712799327312 13009724571116 13451915567272 14275502234656 14528913516928 14868256652704 15373617791168 15797522693498 16011968702912 16556203775104 17012716746844 18054311649712 19182706127819 19443104853536 20517382816112 20573517926416 20658298906882 20938728303808 21859362796817 22247398822796 23448437504128 23512591915904 23609484465008 24488893310336 24982128910648 25425598654624 26019449142232 26903831134544 28551004469312 29736513305408 30747235582336 31595045386996 32023937405824 34025433493688 36108623299424 38365412255638 38886209707072 41034765632224 41147035852832 41316597813764 41877456607616 43718725593634 44494797645592 47218968930016 49964257821296 50851197309248 52038898284464 53807662269088 55291329427243 57102008938624 59473026610816 63190090773992 68050866987376 72217246598848 72304046174087 76730824511276 77772419414144 82069531264448 82294071705664 82633195627528 87437451187268 88989595291184 94437937860032 99928515642592 101702394618496 104077796568928 107615324538176 110582658854486 126380181547984 134278942894733 136101733974752 144434493197696 144608092348174 153461649022552 164139062528896 164588143411328 165266391255056 174874902374536 177979190582368 188875875720064 199857031285184 208155593137856 215230649076352 221165317708972 252760363095968 268557885789466 272203467949504 289216184696348 306923298045104 330532782510112 349749804749072 355958381164736 399714062570368 416311186275712 442330635417944 505520726191936 537115771578932 544406935899008 578432369392696 613846596090208 661065565020224 699499609498144 711916762329472 884661270835888 939952600263131 1011041452383872 1074231543157864 1156864738785392 1227693192180416 1322131130040448 1398999218996288 1769322541671776 1879905200526262 2148463086315728 2313729477570784 2455386384360832 2797998437992576 3538645083343552 3759810401052524 4296926172631456 4627458955141568 7077290166687104 7519620802105048 8593852345262912 9254917910283136 15039241604210096 17187704690525824 30078483208420192 60156966416840384 120313932833680768
- Sum of all divisors σ(n): 328692766775749200
- Sum of proper divisors (its aliquot sum) s(n): 208378833942068432
- 120313932833680768 is an abundant number, because the sum of its proper divisors (208378833942068432) is greater than itself. Its abundance is 88064901108387664
Bases of 120313932833680768
- Binary: 1101010110111000011100010011011000001010011101101100000002
- Hexadecimal: 0x1AB70E26C14ED80
- Base-36: WWNQ9PNHE9S
Squares and roots of 120313932833680768
- 120313932833680768 squared (1203139328336807682) is 14475442433907447156743174933069824
- 120313932833680768 cubed (1203139328336807683) is 1741597408730953056949741476914533812947967469944832
-
The
square root of 120313932833680768 is 346862988.5613061025 -
The
cube root of 120313932833680768 is 493672.1652954009
Scales and comparisons
How big is 120313932833680768?- 120,313,932,833,680,768 seconds is equal to 3,825,610,908 years, 35 weeks, 3 days, 4 hours, 39 minutes, 28 seconds.
-
To count from 1 to 120,313,932,833,680,768 would take you about eleven billion, four hundred seventy-six million, eight hundred thirty-two thousand, seven hundred twenty-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 120313932833680768 cubic inches would be around 41139.3 feet tall.
Recreational maths with 120313932833680768
- 120313932833680768 backwards is 867086338239313021
- The number of decimal digits it has is: 18
- The sum of 120313932833680768's digits is 73
- More coming soon!
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MLA style:
"Number 120313932833680768 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
APA style:
Numbermatics. (2024). Number 120313932833680768 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/120313932833680768/
Chicago style:
Numbermatics. 2024. "Number 120313932833680768 - Facts about the integer". https://numbermatics.com/n/120313932833680768/
The information we have on file for 120313932833680768 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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