13662292445420356920
13,662,292,445,420,356,920 is an even composite number composed of eight prime numbers multiplied together.
13662292445420356920 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 13662292445420356920:
23 × 3 × 5 × 73 × 13 × 192 × 37 × 1911595207
(2 × 2 × 2 × 3 × 5 × 7 × 7 × 7 × 13 × 19 × 19 × 37 × 1911595207)See below for interesting mathematical facts about the number 13662292445420356920 from the Numbermatics database.
Names of 13662292445420356920
- Cardinal: 13662292445420356920 can be written as Thirteen quintillion, six hundred sixty-two quadrillion, two hundred ninety-two trillion, four hundred forty-five billion, four hundred twenty million, three hundred fifty-six thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.366229244542035692 × 1019
Factors of 13662292445420356920
- Number of distinct prime factors ω(n): 8
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 1911595293
Divisors of 13662292445420356920
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 19 20 21 24 26 28 30 35 37 38 39 40 42 49 52 56 57 60 65 70 74 76 78 84 91 95 98 104 105 111 114 120 130 133 140 147 148 152 156 168 182 185 190 195 196 210 222 228 245 247 259 260 266 273 280 285 294 296 312 343 361 364 370 380 390 392 399 420 444 455 456 481 490 494 518 520 532 546 555 570 588 637 665 686 703 722 728 735 740 741 760 777 780 798 840 888 910 931 962 980 988 1029 1036 1064 1083 1092 1110 1140 1176 1235 1274 1295 1330 1365 1372 1406 1443 1444 1470 1480 1482 1554 1560 1596 1715 1729 1805 1813 1820 1862 1911 1924 1960 1976 1995 2058 2072 2109 2166 2184 2220 2280 2405 2470 2527 2548 2590 2660 2730 2744 2793 2812 2886 2888 2940 2964 3108 3185 3192 3367 3430 3458 3515 3610 3626 3640 3705 3724 3822 3848 3885 3990 4116 4218 4332 4440 4459 4655 4693 4810 4921 4940 5054 5096 5145 5180 5187 5320 5415 5439 5460 5586 5624 5772 5880 5928 6216 6370 6517 6734 6860 6916 7030 7215 7220 7252 7410 7448 7581 7644 7770 7980 8232 8436 8645 8664 8918 9065 9139 9310 9386 9555 9620 9842 9880 10101 10108 10290 10360 10374 10545 10830 10878 10920 11172 11544 12103 12635 12691 12740 13034 13357 13377 13468 13720 13832 13965 14060 14079 14430 14440 14504 14763 14820 15162 15288 15540 15960 16835 16872 17290 17689 17836 18130 18278 18620 18772 19110 19240 19551 19684 20202 20216 20580 20748 21090 21660 21756 22295 22344 23465 23569 24206 24605 25270 25382 25480 25935 26068 26714 26754 26936 27195 27417 27930 28120 28158 28860 29526 29640 30324 31080 32585 32851 33670 34447 34580 35378 35672 36260 36309 36556 37240 37544 37905 38073 38220 39102 39368 40071 40404 41160 41496 42180 43320 43512 44590 45695 46930 47138 48412 49210 50505 50540 50764 51870 52136 53067 53428 53508 54390 54834 55860 56316 57720 59052 60515 60648 63455 63973 65170 65702 66785 66885 67340 68894 69160 70395 70707 70756 72520 72618 73112 73815 75810 76146 76440 78204 80142 80808 84360 84721 88445 89180 91390 93499 93860 94276 96824 97755 98420 98553 101010 101080 101528 103341 103740 106134 106856 107016 108780 109668 111720 112632 117845 118104 121030 123823 126910 127946 130340 131404 133570 133770 134680 137085 137788 140790 141414 141512 145236 147630 151620 152292 156408 160284 164255 164983 169442 172235 173641 176890 178360 181545 182780 186998 187720 188552 190365 191919 195510 196840 197106 200355 202020 206682 207480 212268 217560 219336 229957 235690 241129 242060 247646 253820 254163 255892 260680 262808 265335 267140 267540 274170 275576 280497 281580 282828 290472 295260 303240 304584 319865 320568 328510 329966 338884 344470 347282 353535 353780 363090 365560 371469 373996 380730 383838 391020 394212 400710 404040 413364 423605 424536 447811 459914 467495 471380 482258 484120 492765 494949 495292 507640 508326 511784 516705 520923 530670 534280 535080 548340 560994 563160 565656 590520 619115 639730 654493 657020 659932 677768 688940 689871 694564 707070 707560 723387 726180 742938 747992 761460 767676 782040 788424 801420 824915 826728 847210 868205 895622 919828 934990 942760 959595 964516 985530 989898 990584 1016652 1033410 1041846 1061340 1096680 1121988 1149785 1205645 1215487 1238230 1270815 1279460 1308986 1314040 1319864 1343433 1377880 1379742 1389128 1402485 1414140 1446774 1452360 1485876 1522920 1535352 1602840 1609699 1649830 1694420 1736410 1791244 1839656 1857345 1869980 1919190 1929032 1963479 1971060 1979796 2033304 2066820 2083692 2122680 2239055 2243976 2299570 2411290 2430974 2474745 2476460 2541630 2558920 2604615 2617972 2686866 2759484 2804970 2828280 2893548 2971752 3134677 3219398 3272465 3299660 3388840 3449355 3472820 3582488 3616935 3646461 3714690 3739960 3838380 3926958 3942120 3959592 4133640 4167384 4478110 4581451 4599140 4822580 4829097 4861948 4949490 4952920 5083260 5209230 5235944 5373732 5518968 5609940 5787096 6077435 6269354 6438796 6544930 6599320 6717165 6898710 6945640 7233870 7292922 7429380 7676760 7853916 8048495 8508409 8956220 9162902 9198280 9404031 9645160 9658194 9723896 9817395 9898980 10166520 10418460 10747464 11219880 12154870 12538708 12877592 13089860 13434330 13744353 13797420 14467740 14585844 14858760 15673385 15707832 16096990 17016818 17912440 18232305 18325804 18808062 19316388 19634790 19797960 20836920 22907255 24145485 24309740 25077416 25525227 26179720 26868660 27488706 27594840 28935480 29171688 31346770 32193980 34033636 36464610 36651608 37616124 38632776 39269580 42542045 45814510 47020155 48290970 48619480 51050454 53737320 54977412 59558863 62693540 64387960 68067272 68721765 72929220 75232248 78539160 85084090 91629020 94040310 96581940 102100908 109954824 119117726 125387080 127626135 137443530 145858440 170168180 178676589 183258040 188080620 193163880 204201816 238235452 255252270 274887060 297794315 340336360 357353178 376161240 476470904 510504540 549774120 595588630 714706356 893382945 1021009080 1191177260 1429412712 1786765890 1911595207 2382354520 3573531780 3823190414 5734785621 7147063560 7646380828 9557976035 11469571242 13381166449 15292761656 19115952070 22939142484 24850737691 26762332898 28673928105 36320308933 38231904140 40143499347 45878284968 49701475382 53524665796 57347856210 66905832245 70729022659 72640617866 74552213073 76463808280 80286998694 93668165143 99402950764 107049331592 108960926799 114695712420 124253688455 133811664490 141458045318 145281235732 149104426146 160573997388 173955163837 181601544665 187336330286 198805901528 200717496735 212187067977 217921853598 229391424840 248507376910 254242162531 267623328980 281004495429 282916090636 290562471464 298208852292 321147994776 347910327674 353645113295 363203089330 372761065365 374672660572 401434993470 424374135954 435843707196 468340825715 472164016129 495103158613 497014753820 508484325062 521865491511 535246657960 544804633995 562008990858 565832181272 596417704584 655677156001 690085869727 695820655348 707290226590 726406178660 745522130730 749345321144 762726487593 802869986940 848748271908 869775819185 871687414392 919477294567 936681651430 944328032258 990206317226 994029507640 1016968650124 1043730983022 1060935339885 1089609267990 1124017981716 1217686146859 1271210812655 1311354312002 1343851430521 1380171739454 1391641310696 1405022477145 1414580453180 1416492048387 1452812357320 1485309475839 1491044261460 1525452975186 1605739973880 1697496543816 1739551638370 1779695137717 1838954589134 1873363302860 1888656064516 1967031468003 1980412634452 2033937300248 2070257609181 2087461966044 2121870679770 2179218535980 2248035963432 2360820080645 2435372293718 2475515793065 2542421625310 2609327457555 2622708624004 2687702861042 2758431883701 2760343478908 2810044954290 2829160906360 2832984096774 2970618951678 2982088522920 3050905950372 3278385780005 3305148112903 3450429348635 3465722110291 3479103276740 3559390275434 3653058440577 3677909178268 3746726605720 3777312129032 3813632437965 3934062936006 3960825268904 4031554291563 4140515218362 4174923932088 4243741359540 4358437071960 4597386472835 4721640161290 4830601088089 4870744587436 4951031586130 5084843250620 5218654915110 5245417248008 5339085413151 5375405722084 5516863767402 5520686957816 5620089908580 5665968193548 5941237903356 6088430734295 6101811900744 6436341061969 6556771560010 6610296225806 6719257152605 6900858697270 6931444220582 6958206553480 7082460241935 7118780550868 7306116881154 7355818356536 7426547379195 7627264875930 7868125872012 8063108583126 8281030436724 8487482719080 8523803028013 8898475688585 8971116306451 9194772945670 9406960013647 9443280322580 9661202176178 9741489174872 9835157340015 9902063172260 9915444338709 10169686501240 10351288045905 10397166330873 10437309830220 10678170826302 10750811444168 11033727534804 11240179817160 11331936387096 11882475806712 12176861468590 12457865964019 12872682123938 13113543120020 13220592451612 13438514305210 13792159418505 13801717394540 13862888441164 14164920483870 14237561101736 14491803264267 14612233762308 14853094758390 15254529751860 15736251744024 16126217166252 16525740564515 16562060873448 17047606056026 17328610551455 17470068596773 17796951377170 17942232612902 18265292202885 18389545891340 18813920027294 18886560645160 19309023185907 19322404352356 19670314680030 19804126344520 19830888677418 20157771457815 20702576091810 20794332661746 20874619660440 21356341652604 22067455069608 23136036790321 24153005440445 24260054772037 24353722937180 24915731928038 25533177179899 25571409084039 25745364247876 26227086240040 26441184903224 26695427065755 26877028610420 26913348919353 27584318837010 27603434789080 27725776882328 28220880040941 28329840967740 28983606528534 29224467524616 29706189516780 30509059503720 32181705309845 32252434332504 33051481129030 33814207616623 34095212112052 34657221102910 34940137193546 35593902754340 35884465225804 36530584405770 36779091782680 37373597892057 37627840054588 38618046371814 38644808704712 39340629360060 39661777354836 40315542915630 41405152183620 41588665323492 42619015140065 42712683305208 44855581532255 45054387433783 46272073580642 47034800068235 48306010880890 48520109544074 48707445874360 49577221693545 49831463856076 51066354359798 51142818168078 51490728495752 51985831654365 52410205790319 53390854131510 53754057220840 53826697838706 55168637674020 56441760081882 56659681935480 57967213057068 59412379033560 62289329820095 62797814145157 64363410619690 65848720095529 66102962258060 67628415233246 68190424224104 69314442205820 69408110370963 69880274387092 71187805508680 71768930451608 72459016321335 72780164316111 73061168811540 74747195784114 75255680109176 76599531539697 77236092743628 78681258720120 79323554709672 80631085831260 82810304367240 83177330646984 85238030280130 87350342983865 89711163064510 90108774867566 92544147161284 94069600136470 96545115929535 96612021761780 97040219088148 99154443387090 99662927712152 101442622849869 102132708719596 102285636336156 103971663308730 104820411580638 106781708263020 107653395677412 110337275348040 112883520163764 115680183951605 115934426114136 121300273860185 122290480177411 124578659640190 125595628290314 127665885899495 127857045420195 128726821239380 131697440191058 132205924516120 134566744596765 135163162301349 135256830466492 138628884411640 138816220741926 139760548774184 141104400204705 144918032642670 145560328632222 146122337623080 149494391568228 153199063079394 154472185487256 161262171662520 161952257532247 169071038083115 170476060560260 174700685967730 178732240259293 179422326129020 180217549735132 185088294322568 186867989460285 188139200272940 188393442435471 193090231859070 193224043523560 194080438176296 197546160286587 198308886774180 202885245699738 204265417439192 204571272672312 207943326617460 209640823161276 213563416526040 215306791354824 225271937168915 225767040327528 231360367903210 236699453316361 242600547720370 244580960354822 249157319280380 251191256580628 255331771798990 255714090840390 257453642478760 262051028951595 263394880382116 269133489193530 270326324602698 270513660932984 277632441483852 282208800409410 289836065285340 291120657264444 298988783136456 306398126158788 313989070725785 315380712036481 323904515064494 329243600477645 331931303338687 338142076166230 340952121120520 347040551854815 349401371935460 357464480518586 358844652258040 360435099470264 363900821580555 366871440532233 373735978920570 376278400545880 376786884870942 382997657698485 386180463718140 395092320573174 396617773548360 405770491399476 415886653234920 419281646322552 439584699016099 450543874337830 460941040668703 462720735806420 473398906632722 485201095440740 485856772596741 489161920709644 498314638560760 502382513161256 507213114249345 510663543597980 511428181680780 524102057903190 526789760764232 536196720777879 538266978387060 540652649205396 555264882967704 564417600818820 579672130570680 582241314528888 611452400887055 612796252317576 627978141451570 630761424072962 647809030128988 658487200955290 663862606677374 675815811506745 676284152332460 694081103709630 698802743870920 710098359949083 714928961037172 727801643161110 733742881064466 747471957841140 753573769741884 765995315396970 772360927436280 790184641146348 809761287661235 811540982798952 856033361241877 879169398032198 893661201296465 901087748675660 921882081337406 925441471612840 941967212177355 946142136109443 946797813265444 970402190881480 971713545193482 978323841419288 987730801432935 995793910016061 1014426228498690 1021327087195960 1022856363361560 1048204115806380 1072393441555758 1076533956774120 1081305298410792 1128835201637640 1183497266581805 1222904801774110 1251125681815051 1255956282903140 1261522848145924 1295618060257976 1316974401910580 1318754097048297 1327725213354748 1351631623013490 1352568304664920 1382823122006109 1388162207419260 1420196719898166 1429857922074344 1455603286322220 1467485762128932 1494943915682280 1507147539483768 1531990630793940 1576903560182405 1580369282292696 1619522575322470 1659656516693435 1712066722483754 1758338796064396 1787322402592930 1802175497351320 1834357202661165 1843764162674812 1883934424354710 1892284272218886 1893595626530888 1943427090386964 1975461602865870 1991587820032122 2028852456997380 2096408231612760 2144786883111516 2197923495080495 2304705203343515 2323519123370809 2366994533163610 2429283862983705 2445809603548220 2502251363630102 2511912565806280 2523045696291848 2568100083725631 2633948803821160 2637508194096594 2655450426709496 2680983603889395 2703263246026980 2765646244012218 2776324414838520 2840393439796332 2911206572644440 2934971524257864 3063981261587880 3077092893112693 3153807120364810 3239045150644940 3319313033386870 3424133444967508 3516677592128792 3550491799745415 3574644805185860 3668714405322330 3687528325349624 3753377045445153 3767868848709420 3784568544437772 3886854180773928 3950923205731740 3983175640064244 4057704913994760 4280166806209385 4289573766223032 4395846990160990 4609410406687030 4647038246741618 4730710680547215 4733989066327220 4858567725967410 4891619207096440 4978969550080305 5004502727260204 5136200167451262 5275016388193188 5361967207778790 5406526492053960 5531292488024436 5680786879592664 5992233528693139 6154185786225386 6255628409075255 6307614240729620 6478090301289880 6593770485241485 6638626066773740 6848266889935016 6914115610030545 6970557370112427 7100983599490830 7149289610371720 7337428810644660 7506754090890306 7535737697418840 7569137088875544 7901846411463480 7966351280128488 8560333612418770 8757879772705357 8791693980321980 9218820813374060 9231278679338079 9294076493483236 9461421361094430 9467978132654440 9717135451934820 9957939100160610 10009005454520408 10272400334902524 10550032776386376 10723934415557580 11062584976048872 11617595616854045 11984467057386278 12308371572450772 12511256818150510 12615228481459240 12840500418628155 13187540970482970 13277252133547480 13828231220061090 13941114740224854 14201967198981660 14674857621289320 15013508181780612 15385464465563465 16264633863595663 17120667224837540 17515759545410714 17583387960643960 17976700586079417 18437641626748120 18462557358676158 18588152986966472 18766885227225765 18922842722188860 19434270903869640 19915878200321220 20544800669805048 21447868831115160 23235191233708090 23968934114772556 24616743144901544 25022513636301020 25681000837256310 26273639318116071 26375081940965940 27656462440122180 27882229480449708 28403934397963320 29961167643465695 30027016363561224 30770928931126930 32529267727191326 34241334449675080 34852786850562135 35031519090821428 35953401172158834 36925114717352316 37533770454451530 37845685444377720 39831756400642440 43789398863526785 46156393396690395 46470382467416180 47937868229545112 48793901590786989 50045027272602040 51362001674512620 52547278636232142 52750163881931880 55312924880244360 55764458960899416 59922335286931390 61541857862253860 65058535454382652 69705573701124270 70063038181642856 71906802344317668 73850229434704632 75067540908903060 81323169317978315 87578797727053570 89883502930397085 92312786793380790 92940764934832360 97587803181573978 102724003349025240 105094557272464284 113852437045169641 119844670573862780 123083715724507720 130117070908765304 131368196590580355 139411147402248540 143813604688635336 150135081817806120 162646338635956630 175157595454107140 179767005860794170 184625573586761580 195175606363147956 210189114544928568 227704874090339282 239689341147725560 243969507953934945 262736393181160710 278822294804497080 325292677271913260 341557311135508923 350315190908214280 359534011721588340 369251147173523160 390351212726295912 455409748180678564 487939015907869890 525472786362321420 569262185225848205 650585354543826520 683114622271017846 719068023443176680 910819496361357128 975878031815739780 1050945572724642840 1138524370451696410 1366229244542035692 1707786555677544615 1951756063631479560 2277048740903392820 2732458489084071384 3415573111355089230 4554097481806785640 6831146222710178460 13662292445420356920
- Sum of all divisors σ(n): 55794968049590784000
- Sum of proper divisors (its aliquot sum) s(n): 42132675604170427080
- 13662292445420356920 is an abundant number, because the sum of its proper divisors (42132675604170427080) is greater than itself. Its abundance is 28470383158750070160
Bases of 13662292445420356920
- Binary: 10111101100110100011011010010111110110101100100010000101001110002
- Hexadecimal: 0xBD9A3697DAC88538
- Base-36: 2VSSEH34XQCZC
Squares and roots of 13662292445420356920
- 13662292445420356920 squared (136622924454203569202) is 186658234864190156369815638740191886400
- 13662292445420356920 cubed (136622924454203569203) is 2550179392060523855114848419628907010281677989576093888000
-
The
square root of 13662292445420356920 is 3696253839.4190890473 -
The
cube root of 13662292445420356920 is 2390605.1959349043
Scales and comparisons
How big is 13662292445420356920?- 13,662,292,445,420,356,920 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,662,292,445,420,356,920 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 13662292445420356920 cubic inches would be around 199217.1 feet tall.
Recreational maths with 13662292445420356920
- 13662292445420356920 backwards is 02965302454429226631
- The number of decimal digits it has is: 20
- The sum of 13662292445420356920's digits is 75
- More coming soon!
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"Number 13662292445420356920 - Facts about the integer". Numbermatics.com. 2024. Web. 27 September 2024.
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Numbermatics. (2024). Number 13662292445420356920 - Facts about the integer. Retrieved 27 September 2024, from https://numbermatics.com/n/13662292445420356920/
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Numbermatics. 2024. "Number 13662292445420356920 - Facts about the integer". https://numbermatics.com/n/13662292445420356920/
The information we have on file for 13662292445420356920 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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