131368680959360000
131,368,680,959,360,000 is an even composite number composed of seven prime numbers multiplied together.
131368680959360000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred sixty divisors.
Prime factorization of 131368680959360000:
210 × 54 × 13 × 29 × 61 × 457 × 19531
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 13 × 29 × 61 × 457 × 19531)See below for interesting mathematical facts about the number 131368680959360000 from the Numbermatics database.
Names of 131368680959360000
- Cardinal: 131368680959360000 can be written as One hundred thirty-one quadrillion, three hundred sixty-eight trillion, six hundred eighty billion, nine hundred fifty-nine million, three hundred sixty thousand.
Scientific notation
- Scientific notation: 1.3136868095936 × 1017
Factors of 131368680959360000
Divisors of 131368680959360000
- Number of divisors d(n): 1760
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 29 32 40 50 52 58 61 64 65 80 100 104 116 122 125 128 130 145 160 200 208 232 244 250 256 260 290 305 320 325 377 400 416 457 464 488 500 512 520 580 610 625 640 650 725 754 793 800 832 914 928 976 1000 1024 1040 1160 1220 1250 1280 1300 1450 1508 1525 1586 1600 1625 1664 1769 1828 1856 1885 1952 2000 2080 2285 2320 2440 2500 2560 2600 2900 3016 3050 3172 3200 3250 3328 3538 3625 3656 3712 3770 3904 3965 4000 4160 4570 4640 4880 5000 5120 5200 5800 5941 6032 6100 6344 6400 6500 6656 7076 7250 7312 7424 7540 7625 7808 7930 8000 8125 8320 8845 9140 9280 9425 9760 10000 10400 11425 11600 11882 12064 12200 12688 12800 13000 13253 13312 14152 14500 14624 14848 15080 15250 15616 15860 16000 16250 16640 17690 18125 18280 18560 18850 19520 19531 19825 20000 20800 22850 22997 23200 23764 24128 24400 25376 25600 26000 26506 27877 28304 29000 29248 29696 29705 30160 30500 31232 31720 32000 32500 33280 35380 36250 36560 37120 37700 38125 39040 39062 39650 40000 41600 44225 45700 45994 46400 47125 47528 48256 48800 50752 52000 53012 55754 56608 57125 58000 58496 59410 60320 61000 62464 63440 64000 65000 66265 66560 70760 72500 73120 74240 75400 76250 78080 78124 79300 80000 83200 88450 91400 91988 92800 94250 95056 96512 97600 97655 99125 101504 104000 106024 111508 113216 114250 114985 116000 116992 118820 120640 122000 126880 128000 130000 132530 139385 141520 145000 146240 148480 148525 150800 152500 156160 156248 158600 160000 166400 172289 176900 182800 183976 185600 188500 190112 193024 195200 195310 198250 203008 208000 212048 221125 223016 226432 228500 229970 232000 233984 235625 237640 241280 244000 253760 253903 260000 265060 278770 283040 285625 290000 292480 297050 301600 305000 312320 312496 317200 320000 331325 332800 344578 353800 362401 365600 367952 371200 377000 380224 386048 390400 390620 396500 406016 416000 424096 442250 446032 452864 457000 459940 464000 467968 471250 475280 482560 488000 488275 495625 507520 507806 520000 530120 557540 566080 566399 571250 574925 580000 584960 594100 603200 610000 624992 634400 640000 662650 689156 696925 707600 724802 731200 735904 742400 742625 754000 760448 780800 781240 793000 808433 812032 832000 848192 861445 884500 892064 905728 914000 919880 928000 942500 950560 965120 976000 976550 991250 1015040 1015612 1040000 1060240 1105625 1115080 1132160 1132798 1142500 1149850 1160000 1169920 1188200 1191391 1206400 1220000 1249984 1268800 1269515 1325300 1378312 1393850 1415200 1449604 1462400 1471808 1485250 1508000 1520896 1561600 1562480 1586000 1616866 1656625 1664000 1696384 1722890 1769000 1784128 1811456 1812005 1828000 1839760 1856000 1885000 1901120 1930240 1952000 1953100 1982500 2030080 2031224 2080000 2120480 2211250 2230160 2264320 2265596 2285000 2299700 2320000 2339840 2376400 2382782 2412800 2440000 2441375 2499968 2537600 2539030 2650600 2756624 2787700 2830400 2831995 2874625 2899208 2924800 2943616 2970500 3016000 3041792 3124960 3172000 3233732 3313250 3392768 3445780 3484625 3538000 3568256 3624010 3656000 3679520 3712000 3713125 3770000 3802240 3904000 3906200 3965000 4042165 4060160 4062448 4160000 4240960 4307225 4422500 4460320 4528640 4531192 4570000 4599400 4640000 4752800 4765564 4825600 4880000 4882750 4999936 5075200 5078060 5301200 5513248 5575400 5660800 5663990 5749250 5798416 5849600 5887232 5941000 5956955 6032000 6083584 6249920 6344000 6347575 6467464 6626500 6785536 6891560 6969250 7076000 7136512 7248020 7312000 7359040 7363187 7426250 7540000 7604480 7808000 7812400 7930000 8084330 8124896 8283125 8320000 8481920 8614450 8845000 8920640 8925667 9057280 9060025 9062384 9140000 9198800 9280000 9505600 9531128 9651200 9760000 9765500 9999872 10150400 10156120 10509629 10602400 11026496 11150800 11321600 11327980 11498500 11596832 11699200 11774464 11882000 11913910 12064000 12206875 12499840 12688000 12695150 12934928 13253000 13571072 13783120 13938500 14152000 14159975 14273024 14373125 14496040 14624000 14718080 14726374 14852500 15080000 15208960 15488083 15624800 15860000 16168660 16249792 16566250 16963840 17228900 17423125 17690000 17841280 17851334 18120050 18124768 18280000 18397600 18560000 19011200 19062256 19520000 19531000 19999744 20210825 20300800 20312240 21019258 21204800 21536125 22052992 22301600 22643200 22655960 22997000 23193664 23548928 23764000 23827820 24128000 24413750 24999680 25376000 25390300 25869856 26506000 27566240 27877000 28304000 28319950 28546048 28746250 28992080 29248000 29436160 29452748 29705000 29784775 30160000 30417920 30976166 31249600 31720000 31737875 32337320 32499584 33132500 33927680 34457800 34550339 34846250 35380000 35682560 35702668 36240100 36249536 36560000 36795200 36815935 38022400 38124512 39040000 39062000 40421650 40624480 42038516 42409600 43072250 44105984 44603200 44628335 45286400 45300125 45311920 45994000 46387328 47528000 47655640 48256000 48827500 49999360 50752000 50780600 51739712 52548145 53012000 55132480 55754000 56608000 56639900 57492500 57984160 58496000 58872320 58905496 59410000 59569550 60320000 61952332 62499200 63440000 63475750 64674640 64999168 66265000 67855360 68915600 69100678 69692500 70760000 70799875 71365120 71405336 72480200 72499072 73120000 73590400 73631870 76044800 76249024 77440415 78124000 80843300 81248960 84077032 84819200 86144500 88211968 89206400 89256670 90600250 90623840 91988000 92774656 95056000 95311280 97655000 99998720 101054125 101504000 101561200 103479424 105096290 106024000 107680625 110264960 111508000 113216000 113279800 114985000 115968320 116033671 117744640 117810992 118820000 119139100 120640000 123904664 124998400 126880000 126951500 129349280 129998336 132530000 137831200 138201356 139385000 141520000 141599750 142730240 142810672 144960400 144998144 146240000 147180800 147263740 148923875 152089600 152498048 154880830 156248000 158689375 161686600 162497920 168154064 169638400 172289000 172751695 176423936 178412800 178513340 181200500 181247680 183976000 184079675 185549312 190112000 190622560 195310000 202108250 203122400 206958848 210192580 212048000 215361250 220529920 223016000 223141675 226432000 226500625 226559600 229970000 231936640 232067342 235621984 237640000 238278200 241280000 247809328 249996800 253760000 253903000 258698560 258844343 259996672 262740725 265060000 275662400 276402712 278770000 283040000 283199500 285621344 289920800 289996288 292480000 294361600 294527480 297847750 304996096 309761660 312496000 317378750 323373200 324995840 336308128 339276800 344578000 345503390 353999375 356825600 357026680 362401000 362495360 367952000 368159350 371098624 380224000 381245120 387202075 390620000 404216500 406244800 413917696 420385160 424096000 430722500 441059840 446032000 446283350 449154407 453001250 453119200 459940000 463873280 464134684 471243968 475280000 476556400 495618656 499993600 505270625 507520000 507806000 517397120 517688686 525481450 530120000 544465687 551324800 552805424 557540000 566080000 566399000 571242688 579841600 579992576 580168355 588723200 589054960 595695500 609992192 619523320 624992000 634757500 646746400 649991680 672616256 689156000 691006780 707998750 713651200 714053360 724802000 724990720 735904000 736318700 744619375 760448000 762490240 774404150 781240000 808433000 812489600 827835392 840770320 848192000 861445000 863758475 882119680 892064000 892566700 898308814 906002500 906238400 919880000 920398375 927746560 928269368 942487936 950560000 953112800 991237312 1010541250 1015612000 1034794240 1035377372 1050962900 1060240000 1088931374 1102649600 1105610848 1115080000 1115708375 1132160000 1132798000 1142485376 1159683200 1160336710 1178109920 1191391000 1219984384 1239046640 1249984000 1269515000 1293492800 1294221715 1299983360 1313703625 1345232512 1378312000 1382013560 1415997500 1428106720 1449604000 1449981440 1471808000 1472637400 1489238750 1524980480 1548808300 1562480000 1616866000 1624979200 1681540640 1696384000 1722890000 1727516950 1784128000 1785133400 1796617628 1812005000 1812476800 1839760000 1840796750 1855493120 1856538736 1884975872 1901120000 1906225600 1936010375 1982474624 2021082500 2031224000 2069588480 2070754744 2101925800 2120480000 2177862748 2205299200 2211221696 2230160000 2231416750 2245772035 2265596000 2284970752 2319366400 2320673420 2356219840 2382782000 2478093280 2499968000 2539030000 2586985600 2588443430 2627407250 2690465024 2722328435 2756624000 2764027120 2831995000 2856213440 2899208000 2899962880 2900841775 2943616000 2945274800 2978477500 3049960960 3097616600 3124960000 3233732000 3249958400 3363081280 3364976459 3445780000 3455033900 3568256000 3570266800 3593235256 3624010000 3624953600 3679520000 3681593500 3713077472 3769951744 3802240000 3812451200 3872020750 3964949248 4042165000 4062448000 4139176960 4141509488 4203851600 4240960000 4318792375 4355725496 4410598400 4422443392 4460320000 4462833500 4491544070 4531192000 4569941504 4601991875 4638732800 4641346840 4712439680 4765564000 4956186560 5078060000 5173971200 5176886860 5254814500 5380930048 5444656870 5513248000 5528054240 5578541875 5663990000 5712426880 5798416000 5801683550 5890549600 5956955000 6099921920 6195233200 6249920000 6467464000 6471108575 6499916800 6568518125 6726162560 6729952918 6891560000 6910067800 7078053931 7140533600 7186470512 7248020000 7249907200 7359040000 7363187000 7426154944 7539903488 7624902400 7744041500 7929898496 8084330000 8124896000 8283018976 8407703200 8481920000 8637584750 8711450992 8844886784 8920640000 8925667000 8983088140 9062384000 9139883008 9203983750 9277465600 9282693680 9424879360 9531128000 9680051875 9912373120 10156120000 10347942400 10353773720 10509629000 10761860096 10889313740 11026496000 11056108480 11157083750 11228860175 11327980000 11424853760 11596832000 11603367100 11781099200 11913910000 12390466400 12499840000 12934928000 12942217150 13137036250 13452325120 13459905836 13611642175 13783120000 13820135600 14156107862 14281067200 14372941024 14496040000 14499814400 14504208875 14718080000 14726374000 14852309888 15249804800 15488083000 15789504923 15859796992 16168660000 16249792000 16566037952 16815406400 16824882295 17275169500 17422901984 17689773568 17841280000 17851334000 17966176280 18124768000 18407967500 18565387360 18849758720 19062256000 19360103750 19824746240 20312240000 20695884800 20707547440 21019258000 21593961875 21778627480 22052992000 22112216960 22314167500 22457720350 22655960000 22849707520 23193664000 23206734200 23562198400 23827820000 24780932800 25869856000 25884434300 26274072500 26904650240 26919811672 27223284350 27566240000 27640271200 28312215724 28562134400 28745882048 28992080000 29008417750 29452748000 29704619776 30499609600 30976166000 31579009846 32337320000 32355542875 32499584000 33132075904 33630812800 33649764590 34550339000 34845803968 35379547136 35390269655 35702668000 35932352560 36249536000 36815935000 37130774720 37699517440 38124512000 38720207500 39649492480 40624480000 41415094880 42038516000 43187923750 43557254960 44224433920 44628335000 44915440700 45311920000 45699415040 46387328000 46413468400 47124396800 47655640000 49561865600 51739712000 51768868600 52548145000 53809300480 53839623344 54446568700 55132480000 55280542400 56144300875 56624431448 57124268800 57491764096 57984160000 58016835500 58905496000 59409239552 61952332000 63158019692 64674640000 64711085750 66264151808 67261625600 67299529180 68058210875 69100678000 69691607936 70780539310 71405336000 71864705120 72499072000 72521044375 73631870000 74261549440 76249024000 77440415000 78947524615 79298984960 81248960000 82830189760 84077032000 84124411475 86375847500 87114509920 88448867840 89256670000 89830881400 90623840000 92826936800 94248793600 95311280000 99123731200 103479424000 103537737200 105096290000 107679246688 108893137400 110264960000 110561084800 112288601750 113248862896 114248537600 114983528192 115968320000 116033671000 117810992000 118818479104 123904664000 126316039384 129349280000 129422171500 132528303616 134523251200 134599058360 136116421750 138201356000 139383215872 141561078620 142810672000 143729410240 145042088750 147263740000 148523098880 152498048000 154880830000 157895049230 161777714375 162497920000 165660379520 168154064000 168248822950 172751695000 174229019840 176897735680 176951348275 178513340000 179661762800 181247680000 185653873600 188497587200 190622560000 198247462400 205263563999 207075474400 210192580000 215358493376 217786274800 221122169600 224577203500 226497725792 228497075200 229967056384 231936640000 232067342000 235621984000 247809328000 252632078768 258698560000 258844343000 265056607232 269046502400 269198116720 272232843500 276402712000 278766431744 280721504375 283122157240 285621344000 287458820480 290084177500 294527480000 297046197760 309761660000 315790098460 323555428750 331320759040 336308128000 336497645900 340291054375 345503390000 348458039680 353902696550 357026680000 359323525600 362495360000 371307747200 381245120000 394737623075 396494924800 410527127998 414150948800 420385160000 420622057375 430716986752 435572549600 442244339200 449154407000 452995451584 459934112768 464134684000 471243968000 495618656000 505264157536 517397120000 517688686000 538396233440 544465687000 552805424000 557532863488 561443008750 566244314480 571242688000 574917640960 580168355000 589054960000 594092395520 619523320000 631580196920 647110857500 662641518080 672616256000 672995291800 680582108750 691006780000 696916079360 707805393100 714053360000 718647051200 742615494400 762490240000 789475246150 821054255996 828301897600 840770320000 841244114750 861433973504 871145099200 884488678400 884756741375 898308814000 905990903168 928269368000 942487936000 991237312000 1010528315072 1026317819995 1035377372000 1076792466880 1088931374000 1105610848000 1122886017500 1132488628960 1142485376000 1149835281920 1160336710000 1178109920000 1239046640000 1263160393840 1294221715000 1325283036160 1345232512000 1345990583600 1361164217500 1382013560000 1393832158720 1415610786200 1428106720000 1437294102400 1485230988800 1578950492300 1642108511992 1656603795200 1681540640000 1682488229500 1722867947008 1742290198400 1769513482750 1796617628000 1811981806336 1856538736000 1973688115375 1982474624000 2021056630144 2052635639990 2070754744000 2103110286875 2153584933760 2177862748000 2211221696000 2245772035000 2264977257920 2299670563840 2320673420000 2356219840000 2478093280000 2526320787680 2588443430000 2691981167200 2722328435000 2764027120000 2787664317440 2831221572400 2856213440000 2874588204800 2970461977600 3157900984600 3284217023984 3313207590400 3363081280000 3364976459000 3445735894016 3484580396800 3539026965500 3593235256000 3623963612672 3713077472000 3947376230750 4042113260288 4105271279980 4141509488000 4206220573750 4307169867520 4355725496000 4422443392000 4423783706875 4491544070000 4529954515840 4641346840000 4712439680000 4956186560000 5052641575360 5131589099975 5176886860000 5383962334400 5444656870000 5528054240000 5662443144800 5712426880000 5749176409600 6315801969200 6568434047968 6626415180800 6726162560000 6729952918000 6969160793600 7078053931000 7186470512000 7247927225344 7426154944000 7894752461500 8084226520576 8210542559960 8283018976000 8412441147500 8614339735040 8711450992000 8847567413750 8983088140000 9059909031680 9282693680000 9868440576875 9912373120000 10105283150720 10263178199950 10353773720000 10767924668800 10889313740000 11056108480000 11324886289600 11498352819200 12631603938400 13136868095936 13459905836000 13938321587200 14156107862000 14372941024000 14852309888000 15789504923000 16168453041152 16421085119920 16566037952000 16824882295000 17228679470080 17422901984000 17695134827500 17966176280000 18119818063360 18565387360000 19736881153750 20210566301440 20526356399900 20707547440000 21535849337600 21778627480000 22112216960000 22649772579200 25263207876800 25657945499875 26273736191872 26919811672000 28312215724000 28745882048000 31579009846000 32842170239840 33132075904000 33649764590000 34845803968000 35390269655000 35932352560000 36239636126720 37130774720000 39473762307500 40421132602880 41052712799800 41415094880000 43071698675200 43557254960000 45299545158400 50526415753600 51315890999750 52547472383744 53839623344000 56624431448000 57491764096000 63158019692000 65684340479680 67299529180000 69691607936000 70780539310000 71864705120000 74261549440000 78947524615000 80842265205760 82105425599600 82830189760000 86143397350400 87114509920000 90599090316800 101052831507200 102631781999500 105094944767488 107679246688000 113248862896000 126316039384000 128289727499375 131368680959360 134599058360000 141561078620000 143729410240000 157895049230000 164210851199200 165660379520000 174229019840000 181198180633600 202105663014400 205263563999000 210189889534976 215358493376000 226497725792000 252632078768000 256579454998750 262737361918720 269198116720000 283122157240000 287458820480000 315790098460000 328421702398400 348458039680000 404211326028800 410527127998000 430716986752000 452995451584000 505264157536000 513158909997500 525474723837440 538396233440000 566244314480000 631580196920000 656843404796800 821054255996000 905990903168000 1010528315072000 1026317819995000 1050949447674880 1076792466880000 1132488628960000 1263160393840000 1313686809593600 1642108511992000 2021056630144000 2052635639990000 2153584933760000 2264977257920000 2526320787680000 2627373619187200 3284217023984000 4105271279980000 4529954515840000 5052641575360000 5254747238374400 6568434047968000 8210542559960000 10105283150720000 13136868095936000 16421085119920000 26273736191872000 32842170239840000 65684340479680000 131368680959360000
- Sum of all divisors σ(n): 372410613851263680
- Sum of proper divisors (its aliquot sum) s(n): 241041932891903680
- 131368680959360000 is an abundant number, because the sum of its proper divisors (241041932891903680) is greater than itself. Its abundance is 109673251932543680
Bases of 131368680959360000
- Binary: 1110100101011011100011110100010110011000110111100000000002
- Hexadecimal: 0x1D2B71E8B31BC00
- Base-36: ZXIB6W4DH4W
Squares and roots of 131368680959360000
- 131368680959360000 squared (1313686809593600002) is 17257730337002114609971609600000000
- 131368680959360000 cubed (1313686809593600003) is 2267125270724299129627033862849691385856000000000000
-
The
square root of 131368680959360000 is 362448176.9292818501 -
The
cube root of 131368680959360000 is 508351.3092703875
Scales and comparisons
How big is 131368680959360000?- 131,368,680,959,360,000 seconds is equal to 4,177,117,704 years, 25 weeks, 6 days, 53 minutes, 20 seconds.
-
To count from 1 to 131,368,680,959,360,000 would take you about twelve billion, five hundred thirty-one million, three hundred fifty-three thousand, one hundred thirteen 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 131368680959360000 cubic inches would be around 42362.6 feet tall.
Recreational maths with 131368680959360000
- 131368680959360000 backwards is 000063959086863131
- The number of decimal digits it has is: 18
- The sum of 131368680959360000's digits is 68
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 131368680959360000 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
APA style:
Numbermatics. (2024). Number 131368680959360000 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/131368680959360000/
Chicago style:
Numbermatics. 2024. "Number 131368680959360000 - Facts about the integer". https://numbermatics.com/n/131368680959360000/
The information we have on file for 131368680959360000 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 131368680959360000, math, Factors of 131368680959360000, curriculum, school, college, exams, university, Prime factorization of 131368680959360000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-one quadrillion, three hundred sixty-eight trillion, six hundred eighty billion, nine hundred fifty-nine million, three hundred sixty thousand.