137406799432400896000
137,406,799,432,400,896,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 137406799432400896000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1728 divisors.
137406799432400896000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 137406799432400896000:
217 × 53 × 17 × 232 × 9773
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 17 × 23 × 23 × 977 × 977 × 977)See below for interesting mathematical facts about the number 137406799432400896000 from the Numbermatics database.
Names of 137406799432400896000
- Cardinal: 137406799432400896000 can be written as One hundred thirty-seven quintillion, four hundred six quadrillion, seven hundred ninety-nine trillion, four hundred thirty-two billion, four hundred million, eight hundred ninety-six thousand.
Scientific notation
- Scientific notation: 1.37406799432400896 × 1020
Factors of 137406799432400896000
Divisors of 137406799432400896000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 23 25 32 34 40 46 50 64 68 80 85 92 100 115 125 128 136 160 170 184 200 230 250 256 272 320 340 368 391 400 425 460 500 512 529 544 575 640 680 736 782 800 850 920 977 1000 1024 1058 1088 1150 1280 1360 1472 1564 1600 1700 1840 1954 1955 2000 2048 2116 2125 2176 2300 2560 2645 2720 2875 2944 3128 3200 3400 3680 3908 3910 4000 4096 4232 4250 4352 4600 4885 5120 5290 5440 5750 5888 6256 6400 6800 7360 7816 7820 8000 8192 8464 8500 8704 8993 9200 9770 9775 10240 10580 10880 11500 11776 12512 12800 13225 13600 14720 15632 15640 16000 16384 16609 16928 17000 17408 17986 18400 19540 19550 20480 21160 21760 22471 23000 23552 24425 25024 25600 26450 27200 29440 31264 31280 32000 32768 33218 33856 34000 34816 35972 36800 39080 39100 40960 42320 43520 44942 44965 46000 47104 48850 48875 50048 51200 52900 54400 58880 62528 62560 64000 65536 66125 66436 67712 68000 69632 71944 73600 78160 78200 81920 83045 84640 87040 89884 89930 92000 94208 97700 97750 100096 102400 105800 108800 112355 117760 122125 125056 125120 128000 131072 132250 132872 135424 136000 139264 143888 147200 156320 156400 163840 166090 169280 174080 179768 179860 184000 188416 195400 195500 200192 204800 211600 217600 224710 224825 235520 244250 250112 250240 256000 264500 265744 270848 272000 278528 287776 294400 312640 312800 327680 332180 338560 348160 359536 359720 368000 376832 382007 390800 391000 400384 409600 415225 423200 435200 449420 449650 471040 488500 500224 500480 512000 516833 529000 531488 541696 544000 557056 561775 575552 588800 625280 625600 655360 664360 677120 696320 719072 719440 736000 753664 764014 781600 782000 800768 819200 830450 846400 870400 898840 899300 942080 954529 977000 1000448 1000960 1024000 1033666 1058000 1062976 1083392 1088000 1114112 1123550 1124125 1151104 1177600 1250560 1251200 1328720 1354240 1392640 1438144 1438880 1472000 1507328 1528028 1563200 1564000 1601536 1638400 1660900 1692800 1740800 1797680 1798600 1884160 1909058 1910035 1954000 2000896 2001920 2048000 2067332 2076125 2116000 2125952 2166784 2176000 2228224 2247100 2248250 2302208 2355200 2501120 2502400 2584165 2657440 2708480 2785280 2808875 2876288 2877760 2944000 3014656 3056056 3126400 3128000 3203072 3276800 3321800 3385600 3481600 3595360 3597200 3768320 3818116 3820070 3908000 4001792 4003840 4096000 4134664 4152250 4232000 4251904 4333568 4352000 4494200 4496500 4604416 4710400 4772645 5002240 5004800 5168330 5314880 5416960 5570560 5617750 5752576 5755520 5888000 6112112 6252800 6256000 6406144 6643600 6771200 6963200 7190720 7194400 7536640 7636232 7640140 7816000 8003584 8007680 8192000 8269328 8304500 8464000 8503808 8667136 8704000 8786161 8988400 8993000 9208832 9420800 9545290 9550175 10004480 10009600 10336660 10629760 10833920 11141120 11235500 11505152 11511040 11776000 12224224 12505600 12512000 12812288 12920825 13287200 13542400 13926400 14381440 14388800 15073280 15272464 15280280 15632000 16007168 16015360 16226993 16384000 16538656 16609000 16928000 17007616 17334272 17408000 17572322 17976800 17986000 18417664 18841600 19090580 19100350 20008960 20019200 20673320 21259520 21667840 21954167 22471000 23010304 23022080 23552000 23863225 24448448 25011200 25024000 25624576 25841650 26574400 27084800 27852800 28762880 28777600 30544928 30560560 31264000 32014336 32030720 32453986 33077312 33218000 33856000 34015232 34668544 34816000 35144644 35953600 35972000 36835328 37683200 38181160 38200700 40017920 40038400 41346640 42519040 43335680 43908334 43930805 44942000 46020608 46044160 47104000 47726450 47750875 48896896 50022400 50048000 51249152 51683300 53148800 54169600 55705600 57525760 57555200 61089856 61121120 62528000 64028672 64061440 64604125 64907972 66154624 66436000 67712000 68030464 69337088 69632000 70289288 71907200 71944000 73670656 75366400 76362320 76401400 80035840 80076800 81134965 82693280 85038080 86671360 87816668 87861610 89884000 92041216 92088320 94208000 95452900 95501750 97793792 100044800 100096000 103366600 106297600 108339200 109770835 115051520 115110400 119316125 122179712 122242240 125056000 128057344 128122880 129208250 129815944 132309248 132872000 135424000 136060928 139264000 140578576 143814400 143888000 147341312 152724640 152802800 160071680 160153600 162269930 165386560 170076160 173342720 175633336 175723220 179768000 184082432 184176640 188416000 190905800 191003500 195587584 200089600 200192000 206733200 212595200 216678400 219541670 219654025 230103040 230220800 238632250 244359424 244484480 250112000 256245760 258416500 259631888 264618496 265744000 270848000 272121856 278528000 281157152 287628800 287776000 294682624 305449280 305605600 320143360 320307200 324539860 330773120 340152320 346685440 351266672 351446440 359536000 368164864 368353280 373220839 376832000 381811600 382007000 391175168 400179200 400384000 405674825 413466400 425190400 433356800 439083340 439308050 460206080 460441600 477264500 488718848 488968960 500224000 504945841 516833000 519263776 529236992 531488000 541696000 544243712 548854175 562314304 575257600 575552000 589365248 610898560 611211200 640286720 640614400 649079720 661546240 680304640 702533344 702892880 719072000 736329728 736706560 746441678 763623200 764014000 782350336 800358400 800768000 811349650 826932800 850380800 866713600 878166680 878616100 920412160 920883200 932574833 954529000 977437696 977937920 1000448000 1009891682 1033666000 1038527552 1058473984 1062976000 1083392000 1088487424 1097708350 1098270125 1124628608 1150515200 1151104000 1178730496 1221797120 1222422400 1281228800 1298159440 1323092480 1360609280 1405066688 1405785760 1438144000 1472659456 1473413120 1492883356 1527246400 1528028000 1564700672 1600716800 1601536000 1622699300 1653865600 1700761600 1733427200 1756333360 1757232200 1840824320 1841766400 1865149666 1866104195 1909058000 1954875392 1955875840 2000896000 2019783364 2028374125 2067332000 2077055104 2116947968 2125952000 2166784000 2176974848 2195416700 2196540250 2249257216 2301030400 2302208000 2443594240 2444844800 2524729205 2596318880 2646184960 2721218560 2744270875 2810133376 2811571520 2876288000 2945318912 2946826240 2985766712 3054492800 3056056000 3129401344 3201433600 3203072000 3245398600 3307731200 3401523200 3512666720 3514464400 3681648640 3683532800 3730299332 3732208390 3818116000 3909750784 3911751680 4001792000 4039566728 4056748250 4134664000 4154110208 4233895936 4251904000 4333568000 4390833400 4393080500 4498514432 4602060800 4604416000 4662874165 4887188480 4889689600 5049458410 5192637760 5292369920 5442437120 5488541750 5620266752 5623143040 5752576000 5893652480 5971533424 6108985600 6112112000 6258802688 6406144000 6490797200 6615462400 6803046400 7025333440 7028928800 7363297280 7367065600 7460598664 7464416780 7636232000 7819501568 7823503360 8003584000 8079133456 8113496500 8269328000 8308220416 8467791872 8503808000 8584079297 8667136000 8781666800 8786161000 8997028864 9204121600 9208832000 9325748330 9330520975 9774376960 9779379200 10098916820 10385275520 10584739840 10884874240 10977083500 11240533504 11246286080 11505152000 11943066848 12217971200 12224224000 12517605376 12623646025 12981594400 13230924800 13606092800 14050666880 14057857600 14726594560 14734131200 14921197328 14928833560 15272464000 15639003136 15647006720 15853772161 16007168000 16158266912 16226993000 16538656000 16616440832 16935583744 17007616000 17168158594 17563333600 17572322000 17994057728 18408243200 18417664000 18651496660 18661041950 19548753920 19558758400 20197833640 20770551040 21169479680 21449221159 21954167000 22481067008 22492572160 23010304000 23314370825 23886133696 24435942400 24448448000 25035210752 25247292050 25963188800 26461849600 27212185600 28101333760 28115715200 29468262400 29842394656 29857667120 30544928000 31278006272 31294013440 31707544322 32316533824 32453986000 33077312000 33232881664 33871167488 34015232000 34336317188 35126667200 35144644000 35988115456 36816486400 36835328000 37302993320 37322083900 39097507840 39117516800 40395667280 41541102080 42338959360 42898442318 42920396485 43908334000 44962134016 44985144320 46020608000 46628741650 46652604875 47772267392 48871884800 48896896000 50070421504 50494584100 51926377600 52923699200 54424371200 56202667520 56231430400 59684789312 59715334240 61089856000 62556012544 62588026880 63118230125 63415088644 64633067648 64907972000 66154624000 66465763328 67742334976 68030464000 68672634376 70253334400 70289288000 71976230912 73632972800 73670656000 74605986640 74644167800 78195015680 78235033600 79268860805 80791334560 83082204160 84677918720 85796884636 85840792970 87816668000 89924268032 89970288640 92041216000 93257483300 93305209750 95544534784 97743769600 97793792000 100989168200 103852755200 105847398400 107246105795 112405335040 112462860800 116571854125 119369578624 119430668480 122179712000 125112025088 125176053760 126236460250 126830177288 129266135296 129815944000 132309248000 132931526656 136060928000 137345268752 140506668800 140578576000 143952461824 147341312000 149211973280 149288335600 156390031360 156470067200 158537721610 161582669120 166164408320 169355837440 171593769272 171681585940 175633336000 179848536064 179940577280 184082432000 186514966600 186610419500 191089069568 195487539200 195587584000 201978336400 207705510400 211694796800 214492211590 214601982425 224810670080 224925721600 233143708250 238739157248 238861336960 244359424000 250352107520 252472920500 253660354576 258532270592 259631888000 264618496000 265863053312 272121856000 274690537504 281013337600 281157152000 287904923648 298423946560 298576671200 312780062720 312940134400 317075443220 323165338240 332328816640 338711674880 343187538544 343363171880 351266672000 359697072128 359881154560 364636759703 368164864000 373029933200 373220839000 382178139136 390975078400 391175168000 396344304025 403956672800 415411020800 423389593600 428984423180 429203964850 449621340160 449851443200 466287416500 477478314496 477722673920 488718848000 493332086657 504945841000 507320709152 517064541184 519263776000 529236992000 531726106624 536230528975 549381075008 562026675200 562314304000 575809847296 596847893120 597153342400 625560125440 625880268800 634150886440 646330676480 664657633280 686375077088 686726343760 702533344000 719394144256 719762309120 729273519406 746059866400 746441678000 764356278272 781950156800 782350336000 792688608050 807913345600 830822041600 846779187200 857968846360 858407929700 899242680320 899702886400 932574833000 954956628992 955445347840 977437696000 986664173314 1009891682000 1014641418304 1034129082368 1038527552000 1058473984000 1063452213248 1072461057950 1073009912125 1098762150016 1124053350400 1124628608000 1151619694592 1193695786240 1194306684800 1251760537600 1268301772880 1292661352960 1329315266560 1372750154176 1373452687520 1405066688000 1438788288512 1439524618240 1458547038812 1492119732800 1492883356000 1528712556544 1563900313600 1564700672000 1585377216100 1615826691200 1661644083200 1693558374400 1715937692720 1716815859400 1798485360640 1799405772800 1823183798515 1865149666000 1909913257984 1910890695680 1954875392000 1973328346628 1981721520125 2019783364000 2029282836608 2068258164736 2077055104000 2116947968000 2126904426496 2144922115900 2146019824250 2197524300032 2248106700800 2249257216000 2387391572480 2388613369600 2466660433285 2536603545760 2585322705920 2658630533120 2681152644875 2745500308352 2746905375040 2810133376000 2877576577024 2879049236480 2917094077624 2984239465600 2985766712000 3057425113088 3127800627200 3129401344000 3170754432200 3231653382400 3323288166400 3431875385440 3433631718800 3596970721280 3598811545600 3646367597030 3730299332000 3819826515968 3821781391360 3909750784000 3946656693256 3963443040250 4039566728000 4058565673216 4136516329472 4154110208000 4233895936000 4289844231800 4292039648500 4395048600064 4496213401600 4498514432000 4774783144960 4777226739200 4933320866570 5073207091520 5170645411840 5317261066240 5362305289750 5491000616704 5493810750080 5620266752000 5758098472960 5834188155248 5968478931200 5971533424000 6114850226176 6258802688000 6341508864400 6463306764800 6646576332800 6863750770880 6867263437600 7193941442560 7197623091200 7292735194060 7460598664000 7639653031936 7643562782720 7819501568000 7893313386512 7926886080500 8079133456000 8117131346432 8273032658944 8308220416000 8386645473169 8467791872000 8579688463600 8584079297000 8790097200128 8992426803200 8997028864000 9115918992575 9549566289920 9554453478400 9866641733140 10146414183040 10341290823680 10634522132480 10724610579500 10982001233408 10987621500160 11240533504000 11668376310496 11936957862400 11943066848000 12229700452352 12333302166425 12683017728800 12926613529600 13293152665600 13727501541760 13734526875200 14387882885120 14395246182400 14585470388120 14921197328000 15279306063872 15287125565440 15639003136000 15786626773024 15853772161000 16158266912000 16234262692864 16546065317888 16616440832000 16773290946338 17159376927200 17168158594000 17580194400256 17984853606400 17994057728000 18231837985150 19099132579840 19108906956800 19733283466280 20292828366080 20682581647360 21449221159000 21964002466816 21975243000320 22481067008000 23336752620992 23873915724800 23886133696000 24459400904704 24666604332850 25366035457600 25853227059200 26586305331200 27455003083520 27469053750400 28790492364800 29170940776240 29842394656000 30558612127744 30574251130880 31573253546048 31707544322000 32316533824000 32468525385728 33092130635776 33232881664000 33546581892676 34318753854400 34336317188000 35160388800512 35969707212800 35988115456000 36463675970300 38198265159680 38217813913600 39466566932560 40585656732160 41365163294720 41933227365845 42898442318000 43928004933632 43950486000640 44962134016000 45579594962875 46673505241984 47747831449600 47772267392000 48918801809408 49333208665700 50732070915200 51706454118400 53172610662400 54910006167040 54938107500800 58341881552480 59684789312000 61117224255488 61148502261760 61666510832125 63146507092096 63415088644000 64633067648000 64937050771456 66184261271552 66465763328000 67093163785352 68637507708800 68672634376000 70320777601024 71939414425600 71976230912000 72927351940600 76396530319360 76435627827200 78933133865120 81171313464320 82730326589440 83866454731690 85796884636000 87856009867264 87900972001280 89924268032000 91159189925750 93347010483968 95495662899200 95544534784000 98666417331400 101464141830400 103412908236800 109820012334080 109876215001600 116683763104960 119369578624000 122234448510976 122297004523520 123333021664250 126293014184192 126830177288000 129266135296000 129874101542912 132931526656000 134186327570704 137275015417600 137345268752000 140641555202048 143952461824000 145854703881200 152793060638720 152871255654400 157866267730240 162342626928640 165460653178880 167732909463380 171593769272000 175712019734528 175801944002560 179848536064000 182318379851500 186694020967936 190991325798400 191089069568000 197332834662800 202928283660800 206825816473600 209666136829225 219640024668160 219752430003200 233367526209920 238739157248000 244594009047040 246666043328500 252586028368384 253660354576000 258532270592000 259748203085824 265863053312000 268372655141408 274550030835200 274690537504000 281283110404096 291709407762400 305586121277440 305742511308800 315732535460480 324685253857280 330921306357760 335465818926760 343187538544000 351424039469056 351603888005120 359697072128000 364636759703000 373388041935872 381982651596800 382178139136000 394665669325600 405856567321600 413651632947200 419332273658450 439280049336320 439504860006400 466735052419840 477478314496000 493332086657000 505172056736768 507320709152000 517064541184000 519496406171648 536745310282816 549100061670400 549381075008000 562566220808192 583418815524800 611172242554880 611485022617600 631465070920960 649370507714560 670931637853520 686375077088000 702848078938112 703207776010240 729273519406000 746776083871744 763965303193600 764356278272000 789331338651200 811713134643200 827303265894400 838664547316900 878560098672640 879009720012800 933470104839680 954956628992000 986664173314000 1010344113473536 1014641418304000 1034129082368000 1038992812343296 1048330684146125 1073490620565632 1098200123340800 1098762150016000 1125132441616384 1166837631049600 1222970045235200 1262930141841920 1298741015429120 1341863275707040 1372750154176000 1405696157876224 1406415552020480 1458547038812000 1493552167743488 1527930606387200 1528712556544000 1578662677302400 1623426269286400 1654606531788800 1677329094633800 1757120197345280 1758019440025600 1866940209679360 1909913257984000 1973328346628000 2020688226947072 2029282836608000 2068258164736000 2077985624686592 2096661368292250 2146981241131264 2196400246681600 2197524300032000 2333675262099200 2525860283683840 2597482030858240 2683726551414080 2745500308352000 2811392315752448 2812831104040960 2917094077624000 2987104335486976 3055861212774400 3057425113088000 3157325354604800 3246852538572800 3354658189267600 3514240394690560 3516038880051200 3733880419358720 3819826515968000 3946656693256000 4041376453894144 4058565673216000 4136516329472000 4193322736584500 4293962482262528 4392800493363200 4395048600064000 4667350524198400 5051720567367680 5194964061716480 5367453102828160 5491000616704000 5625662208081920 5834188155248000 5974208670973952 6114850226176000 6314650709209600 6493705077145600 6709316378535200 7028480789381120 7032077760102400 7467760838717440 7639653031936000 7893313386512000 8082752907788288 8117131346432000 8273032658944000 8386645473169000 8587924964525056 8785600986726400 8790097200128000 9334701048396800 10103441134735360 10389928123432960 10734906205656320 10982001233408000 11668376310496000 11948417341947904 12629301418419200 12987410154291200 13418632757070400 14056961578762240 14064155520204800 14935521677434880 15279306063872000 15786626773024000 16165505815576576 16234262692864000 16773290946338000 17175849929050112 17571201973452800 17580194400256000 18669402096793600 20206882269470720 21469812411312640 21964002466816000 23336752620992000 23896834683895808 25258602836838400 25974820308582400 26837265514140800 28128311040409600 29871043354869760 31573253546048000 32331011631153152 32468525385728000 33546581892676000 34351699858100224 35142403946905600 35160388800512000 37338804193587200 40413764538941440 42939624822625280 43928004933632000 46673505241984000 47793669367791616 50517205673676800 51949640617164800 53674531028281600 59742086709739520 63146507092096000 64662023262306304 64937050771456000 67093163785352000 68703399716200448 70284807893811200 70320777601024000 74677608387174400 80827529077882880 85879249645250560 87856009867264000 93347010483968000 101034411347353600 107349062056563200 119484173419479040 126293014184192000 129874101542912000 134186327570704000 137406799432400896 140641555202048000 149355216774348800 161655058155765760 171758499290501120 175712019734528000 186694020967936000 202068822694707200 214698124113126400 238968346838958080 252586028368384000 259748203085824000 268372655141408000 274813598864801792 298710433548697600 323310116311531520 343516998581002240 351424039469056000 373388041935872000 404137645389414400 429396248226252800 505172056736768000 536745310282816000 549627197729603584 597420867097395200 687033997162004480 746776083871744000 808275290778828800 858792496452505600 1010344113473536000 1073490620565632000 1099254395459207168 1194841734194790400 1374067994324008960 1493552167743488000 1616550581557657600 1717584992905011200 2020688226947072000 2146981241131264000 2748135988648017920 2987104335486976000 3435169985810022400 4041376453894144000 4293962482262528000 5496271977296035840 5974208670973952000 6870339971620044800 8082752907788288000 8587924964525056000 13740679943240089600 17175849929050112000 27481359886480179200 34351699858100224000 68703399716200448000 137406799432400896000
- Sum of all divisors σ(n): 380004672959487182880
- Sum of proper divisors (its aliquot sum) s(n): 242597873527086286880
- 137406799432400896000 is an abundant number, because the sum of its proper divisors (242597873527086286880) is greater than itself. Its abundance is 105191074094685390880
Bases of 137406799432400896000
- Binary: 11101110010111001110000010000010010010000111001101000000000000000002
- Hexadecimal: 0x772E70412439A0000
- Base-36: SZYAD8H0NU5TS
Squares and roots of 137406799432400896000
- 137406799432400896000 squared (1374067994324008960002) is 18880628530256047195154342861602816000000
- 137406799432400896000 cubed (1374067994324008960003) is 2594326737614558789004964480164367667594245634523136000000000
-
The
square root of 137406799432400896000 is 11722064640.3439055597 -
The
cube root of 137406799432400896000 is 5160234.1428766523
Scales and comparisons
How big is 137406799432400896000?- 137,406,799,432,400,896,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,406,799,432,400,896,000 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 137406799432400896000 cubic inches would be around 430019.5 feet tall.
Recreational maths with 137406799432400896000
- 137406799432400896000 backwards is 000698004234997604731
- The number of decimal digits it has is: 21
- The sum of 137406799432400896000's digits is 82
- 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 137406799432400896000 - Facts about the integer". Numbermatics.com. 2024. Web. 17 May 2024.
APA style:
Numbermatics. (2024). Number 137406799432400896000 - Facts about the integer. Retrieved 17 May 2024, from https://numbermatics.com/n/137406799432400896000/
Chicago style:
Numbermatics. 2024. "Number 137406799432400896000 - Facts about the integer". https://numbermatics.com/n/137406799432400896000/
The information we have on file for 137406799432400896000 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 137406799432400896000, math, Factors of 137406799432400896000, curriculum, school, college, exams, university, Prime factorization of 137406799432400896000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quintillion, four hundred six quadrillion, seven hundred ninety-nine trillion, four hundred thirty-two billion, four hundred million, eight hundred ninety-six thousand.