106137409996800
106,137,409,996,800 is an even composite number composed of seven prime numbers multiplied together.
106137409996800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 106137409996800:
211 × 32 × 52 × 7 × 13 × 811 × 3121
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 13 × 811 × 3121)See below for interesting mathematical facts about the number 106137409996800 from the Numbermatics database.
Names of 106137409996800
- Cardinal: 106137409996800 can be written as One hundred six trillion, one hundred thirty-seven billion, four hundred nine million, nine hundred ninety-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.061374099968 × 1014
Factors of 106137409996800
Divisors of 106137409996800
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 28 30 32 35 36 39 40 42 45 48 50 52 56 60 63 64 65 70 72 75 78 80 84 90 91 96 100 104 105 112 117 120 126 128 130 140 144 150 156 160 168 175 180 182 192 195 200 208 210 224 225 234 240 252 256 260 273 280 288 300 312 315 320 325 336 350 360 364 384 390 400 416 420 448 450 455 468 480 504 512 520 525 546 560 576 585 600 624 630 640 650 672 700 720 728 768 780 800 811 819 832 840 896 900 910 936 960 975 1008 1024 1040 1050 1092 1120 1152 1170 1200 1248 1260 1280 1300 1344 1365 1400 1440 1456 1536 1560 1575 1600 1622 1638 1664 1680 1792 1800 1820 1872 1920 1950 2016 2048 2080 2100 2184 2240 2275 2304 2340 2400 2433 2496 2520 2560 2600 2688 2730 2800 2880 2912 2925 3072 3120 3121 3150 3200 3244 3276 3328 3360 3584 3600 3640 3744 3840 3900 4032 4055 4095 4160 4200 4368 4480 4550 4608 4680 4800 4866 4992 5040 5120 5200 5376 5460 5600 5677 5760 5824 5850 6144 6240 6242 6300 6400 6488 6552 6656 6720 6825 7168 7200 7280 7299 7488 7680 7800 8064 8110 8190 8320 8400 8736 8960 9100 9216 9360 9363 9600 9732 9984 10080 10240 10400 10543 10752 10920 11200 11354 11520 11648 11700 12165 12480 12484 12600 12800 12976 13104 13312 13440 13650 14336 14400 14560 14598 14976 15360 15600 15605 16128 16220 16380 16640 16800 17031 17472 17920 18200 18432 18720 18726 19200 19464 19968 20160 20275 20475 20800 21086 21504 21840 21847 22400 22708 23040 23296 23400 24330 24960 24968 25200 25600 25952 26208 26624 26880 27300 28089 28385 28800 29120 29196 29952 30720 31200 31210 31629 32256 32440 32760 33280 33600 34062 34944 35840 36400 36495 37440 37452 38400 38928 39936 40320 40550 40573 40950 41600 42172 43008 43680 43694 44800 45416 46080 46592 46800 46815 48660 49920 49936 50400 51093 51200 51904 52416 52715 53760 54600 56178 56770 57600 58240 58392 59904 60825 62400 62420 63258 64512 64880 65520 65541 66560 67200 68124 69888 71680 72800 72990 73801 74880 74904 76800 77856 78025 79872 80640 81100 81146 81900 83200 84344 85155 87360 87388 89600 90832 92160 93184 93600 93630 94887 97320 99840 99872 100800 102186 103808 104832 105430 107520 109200 109235 112356 113540 115200 116480 116784 119808 121650 121719 124800 124840 126516 129024 129760 131040 131082 133120 134400 136248 139776 140445 141925 145600 145980 147602 149760 149808 153600 155712 156050 158145 161280 162200 162292 163800 166400 168688 170310 174720 174776 179200 181664 182475 186368 187200 187260 189774 194640 196623 199680 199744 201600 202865 204372 207616 209664 210860 215040 218400 218470 221403 224712 227080 230400 232960 233568 234075 239616 243300 243438 249600 249680 253032 255465 259520 262080 262164 263575 268800 272496 279552 280890 283850 284011 291200 291960 295204 299520 299616 311424 312100 316290 322560 324400 324584 327600 327705 332800 337376 340620 349440 349552 358400 363328 364950 365157 369005 374400 374520 379548 389280 393246 399360 399488 403200 405730 408744 415232 419328 421720 425775 436800 436940 442806 449424 454160 460800 465920 467136 468150 474435 486600 486876 499200 499360 506064 510930 519040 524160 524328 527150 537600 544992 546175 559104 561780 567700 568022 582400 583920 590408 599040 599232 608595 622848 624200 632580 645120 648800 649168 655200 655410 664209 665600 674752 681240 698880 699104 702225 726656 729900 730314 738010 748800 749040 759096 778560 786492 790725 798976 806400 811460 817488 830464 838656 843440 851550 852033 873600 873880 885612 898848 908320 931840 934272 936300 948870 973200 973752 983115 998400 998720 1012128 1014325 1021860 1038080 1048320 1048656 1054300 1075200 1089984 1092350 1107015 1123560 1135400 1136044 1164800 1167840 1180816 1198080 1198464 1217190 1245696 1248400 1265160 1277325 1297600 1298336 1310400 1310820 1328418 1349504 1362480 1397760 1398208 1404450 1420055 1453312 1459800 1460628 1476020 1497600 1498080 1518192 1557120 1572984 1581450 1597952 1612800 1622920 1634976 1638525 1660928 1677312 1686880 1703100 1704066 1747200 1747760 1771224 1797696 1816640 1825785 1845025 1868544 1872600 1897740 1946400 1947504 1966230 1996800 1997440 2024256 2028650 2043720 2076160 2096640 2097312 2108600 2179968 2184700 2214030 2247120 2270800 2272088 2329600 2335680 2361632 2372175 2396928 2434380 2491392 2496800 2530320 2531131 2554650 2556099 2595200 2596672 2620800 2621640 2656836 2699008 2724960 2795520 2796416 2808900 2840110 2906624 2919600 2921256 2952040 2995200 2996160 3036384 3042975 3114240 3145968 3162900 3195904 3225600 3245840 3269952 3277050 3321045 3373760 3406200 3408132 3494400 3495520 3542448 3595392 3633280 3651570 3690050 3737088 3745200 3795480 3892800 3895008 3932460 3994880 4048512 4057300 4087440 4152320 4193280 4194624 4217200 4260165 4359936 4369400 4428060 4494240 4541600 4544176 4659200 4671360 4723264 4744350 4793856 4868760 4915575 4982784 4993600 5060640 5062262 5109300 5112198 5190400 5193344 5241600 5243280 5313672 5398016 5449920 5535075 5592832 5617800 5680220 5813248 5839200 5842512 5904080 5990400 5992320 6072768 6085950 6228480 6291936 6325800 6391808 6491680 6539904 6554100 6642090 6747520 6812400 6816264 6988800 6991040 7084896 7100275 7190784 7266560 7303140 7380100 7474176 7490400 7590960 7593393 7785600 7790016 7864920 7989760 8097024 8114600 8174880 8304640 8386560 8389248 8434400 8520330 8719872 8738800 8856120 8988480 9083200 9088352 9128925 9342720 9446528 9488700 9587712 9737520 9831150 9987200 10121280 10124524 10218600 10224396 10380800 10386688 10483200 10486560 10627344 10796032 10899840 11070150 11185664 11235600 11360440 11626496 11678400 11685024 11808160 11984640 12145536 12171900 12456960 12583872 12651600 12655655 12780495 12983360 13079808 13108200 13284180 13495040 13624800 13632528 13977600 13982080 14169792 14200550 14381568 14533120 14606280 14760200 14948352 14980800 15181920 15186786 15571200 15580032 15729840 15979520 16194048 16229200 16349760 16605225 16778496 16868800 17040660 17439744 17477600 17712240 17717917 17976960 18166400 18176704 18257850 18685440 18893056 18977400 19175424 19475040 19662300 19974400 20242560 20249048 20437200 20448792 20761600 20773376 20966400 20973120 21254688 21300825 21592064 21799680 22140300 22371328 22471200 22720880 22780179 23356800 23370048 23616320 23969280 24291072 24343800 24913920 25167744 25303200 25311310 25560990 25966720 26159616 26216400 26568360 26990080 27249600 27265056 27964160 28339584 28401100 28763136 29066240 29212560 29520400 29961600 30363840 30373572 31142400 31160064 31459680 31959040 32388096 32458400 32699520 32904703 33210450 33556992 33737600 34081320 34879488 34955200 35424480 35435834 35953920 36332800 36353408 36515700 37370880 37786112 37954800 37966965 38950080 39324600 39948800 40485120 40498096 40874400 40897584 41523200 41546752 41932800 41946240 42509376 42601650 43599360 44280600 44742656 44942400 45441760 45560358 46713600 46740096 47232640 47938560 48582144 48687600 50335488 50606400 50622620 51121980 51933440 52319232 52432800 53136720 53153751 53980160 54499200 54530112 55928320 56679168 56802200 57526272 58132480 58425120 59040800 59923200 60727680 60747144 62284800 62320128 62919360 63278275 63902475 64776192 64916800 65399040 65809406 66420900 67113984 67475200 68162640 69910400 70848960 70871668 71907840 72665600 72706816 73031400 74741760 75572224 75909600 75933930 77900160 78649200 79897600 80970240 80996192 81748800 81795168 83093504 83892480 85018752 85203300 87198720 88561200 88589585 89884800 90883520 91120716 93427200 93480192 94465280 95877120 97164288 97375200 98714109 100670976 101212800 101245240 102243960 103866880 104638464 104865600 106273440 106307502 107960320 108998400 109060224 111856640 113358336 113604400 113900895 116850240 118081600 119846400 121455360 121494288 124569600 124640256 125838720 126556550 127804950 129833600 130798080 131618812 132841800 134227968 134950400 136325280 139820800 141697920 141743336 143815680 145331200 145413632 146062800 151144448 151819200 151867860 155800320 157298400 159461253 159795200 161940480 161992384 163497600 163590336 164523515 167784960 170037504 170406600 174397440 177122400 177179170 179769600 181767040 182241432 186854400 186960384 188930560 189834825 194328576 194750400 197428218 201341952 202425600 202490480 204487920 207733760 209731200 212546880 212615004 217996800 218120448 223713280 226716672 227208800 227801790 230332921 233700480 236163200 239692800 242910720 242988576 249280512 251677440 253113100 255609900 259667200 261596160 263237624 265683600 265768755 269900800 272650560 279641600 283395840 283486672 287631360 290662400 290827264 292125600 296142327 303638400 303735720 311600640 314596800 318922506 323880960 323984768 326995200 327180672 329047030 335569920 340075008 340813200 354244800 354358340 359539200 363534080 364482864 373708800 373920768 377861120 379669650 389500800 394856436 402683904 404851200 404980960 408975840 415467520 419462400 425093760 425230008 435993600 436240896 442947925 453433344 454417600 455603580 460665842 467400960 472326400 479385600 485821440 485977152 493570545 503354880 506226200 511219800 519334400 523192320 526475248 531367200 531537510 539801600 545301120 559283200 566791680 566973344 569504475 581654528 584251200 592284654 607276800 607471440 623201280 629193600 637845012 647969536 653990400 654361344 658094060 671139840 680150016 681626400 690998763 708489600 708716680 719078400 727068160 728965728 747841536 755722240 759339300 779001600 789712872 797306265 809702400 809961920 817951680 822617575 838924800 850187520 850460016 871987200 872481792 885895850 908835200 911207160 921331684 934801920 944652800 971642880 971954304 987141090 1006709760 1012452400 1022439600 1038668800 1052950496 1062734400 1063075020 1090602240 1118566400 1133583360 1133946688 1139008950 1151664605 1168502400 1184569308 1214553600 1214942880 1246402560 1258387200 1275690024 1295939072 1307980800 1308722688 1316188120 1328843775 1360300032 1363252800 1381997526 1416979200 1417433360 1438156800 1454136320 1457931456 1480711635 1518678600 1558003200 1579425744 1594612530 1619404800 1619923840 1635903360 1645235150 1677849600 1700375040 1700920032 1744963584 1771791700 1817670400 1822414320 1842663368 1869603840 1889305600 1943908608 1974282180 2013419520 2024904800 2044879200 2072996289 2077337600 2105900992 2125468800 2126150040 2181204480 2267166720 2267893376 2278017900 2303329210 2337004800 2369138616 2429107200 2429885760 2467852725 2516774400 2551380048 2591878144 2615961600 2617445376 2632376240 2657687550 2726505600 2763995052 2833958400 2834866720 2908272640 2915862912 2961423270 3037357200 3116006400 3158851488 3189225060 3239847680 3271806720 3290470300 3355699200 3400750080 3401840064 3454993815 3543583400 3635340800 3644828640 3685326736 3739207680 3778611200 3887817216 3948564360 3986531325 4049809600 4089758400 4145992578 4211801984 4250937600 4252300080 4362408960 4535786752 4556035800 4606658420 4674009600 4738277232 4858214400 4859771520 4935705450 5033548800 5102760096 5183756288 5234890752 5264752480 5315375100 5453011200 5527990104 5667916800 5669733440 5758323025 5831725824 5922846540 6074714400 6232012800 6317702976 6378450120 6479695360 6543613440 6580940600 6801500160 6803680128 6909987630 7087166800 7270681600 7289657280 7370653472 7403558175 7775634432 7897128720 7973062650 8099619200 8179516800 8291985156 8423603968 8501875200 8504600160 8724817920 9071573504 9112071600 9213316840 9348019200 9476554464 9719543040 9871410900 10067097600 10205520192 10364981445 10529504960 10630750200 10906022400 11055980208 11335833600 11339466880 11516646050 11663451648 11845693080 12149428800 12635405952 12756900240 12959390720 13087226880 13161881200 13607360256 13819975260 14174333600 14541363200 14579314560 14741306944 14807116350 15551268864 15794257440 15946125300 16199238400 16359033600 16583970312 16847207936 17003750400 17009200320 17274969075 18143147008 18224143200 18426633680 18696038400 18953108928 19439086080 19742821800 20411040384 20729962890 21059009920 21261500400 21812044800 22111960416 22678933760 23033292100 23326903296 23691386160 24298857600 25270811904 25513800480 25918781440 26174453760 26323762400 27214720512 27639950520 28348667200 29158629120 29482613888 29614232700 31588514880 31892250600 32398476800 32718067200 33167940624 33694415872 34007500800 34018400640 34549938150 36286294016 36448286400 36853267360 37906217856 38878172160 39485643600 40822080768 41459925780 42118019840 42523000800 43624089600 44223920832 45357867520 46066584200 46653806592 47382772320 48597715200 50541623808 51027600960 51824907225 52647524800 54429441024 55279901040 56697334400 58317258240 58965227776 59228465400 63177029760 63784501200 64796953600 65436134400 66335881248 67388831744 68036801280 69099876300 72896572800 73706534720 75812435712 77756344320 78971287200 81644161536 82919851560 84236039680 85046001600 88447841664 90715735040 92133168400 94765544640 97195430400 101083247616 102055201920 103649814450 105295049600 108858882048 110559802080 113394668800 116634516480 117930455552 118456930800 126354059520 127569002400 129593907200 130872268800 132671762496 136073602560 138199752600 145793145600 147413069440 151624871424 157942574400 163288323072 165839703120 168472079360 170092003200 176895683328 181431470080 184266336800 189531089280 194390860800 202166495232 204110403840 207299628900 210590099200 221119604160 226789337600 233269032960 235860911104 236913861600 252708119040 255138004800 265343524992 272147205120 276399505200 291586291200 294826138880 303249742848 315885148800 326576646144 331679406240 336944158720 340184006400 353791366656 368532673600 379062178560 388781721600 408220807680 414599257800 421180198400 442239208320 453578675200 471721822208 473827723200 505416238080 510276009600 530687049984 544294410240 552799010400 583172582400 589652277760 606499485696 631770297600 663358812480 680368012800 707582733312 737065347200 758124357120 816441615360 829198515600 842360396800 884478416640 907157350400 947655446400 1010832476160 1020552019200 1061374099968 1105598020800 1166345164800 1179304555520 1263540595200 1326717624960 1360736025600 1415165466624 1474130694400 1516248714240 1632883230720 1658397031200 1684720793600 1768956833280 1895310892800 2041104038400 2122748199936 2211196041600 2358609111040 2527081190400 2653435249920 2721472051200 2948261388800 3032497428480 3316794062400 3537913666560 3790621785600 4082208076800 4245496399872 4422392083200 5054162380800 5306870499840 5896522777600 6633588124800 7075827333120 7581243571200 8164416153600 8844784166400 10613740999680 11793045555200 13267176249600 15162487142400 17689568332800 21227481999360 26534352499200 35379136665600 53068704998400 106137409996800
- Sum of all divisors σ(n): 468560746442880
- Sum of proper divisors (its aliquot sum) s(n): 362423336446080
- 106137409996800 is an abundant number, because the sum of its proper divisors (362423336446080) is greater than itself. Its abundance is 256285926449280
Bases of 106137409996800
- Binary: 110000010001000000010101001111011001000000000002
- Hexadecimal: 0x60880A9EC800
- Base-36: 11MEUPIWW0
Squares and roots of 106137409996800
- 106137409996800 squared (1061374099968002) is 11265149800828820576010240000
- 106137409996800 cubed (1061374099968003) is 1195653823085938389929782781235167232000000
-
The
square root of 106137409996800 is 10302301.1990913953 -
The
cube root of 106137409996800 is 47346.6760744521
Scales and comparisons
How big is 106137409996800?- 106,137,409,996,800 seconds is equal to 3,374,841 years, 17 weeks, 2 days, 8 hours.
-
To count from 1 to 106,137,409,996,800 would take you about eight million, four hundred thirty-seven thousand, one hundred three 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 106137409996800 cubic inches would be around 3945.6 feet tall.
Recreational maths with 106137409996800
- 106137409996800 backwards is 008699904731601
- 106137409996800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 106137409996800's digits is 63
- More coming soon!
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The information we have on file for 106137409996800 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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