138113905702500
138,113,905,702,500 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138113905702500 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2160 divisors.
138113905702500 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 138113905702500:
22 × 32 × 54 × 7 × 13 × 29 × 71 × 1812
(2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 13 × 29 × 71 × 181 × 181)See below for interesting mathematical facts about the number 138113905702500 from the Numbermatics database.
Names of 138113905702500
- Cardinal: 138113905702500 can be written as One hundred thirty-eight trillion, one hundred thirteen billion, nine hundred five million, seven hundred two thousand, five hundred.
Scientific notation
- Scientific notation: 1.381139057025 × 1014
Factors of 138113905702500
Divisors of 138113905702500
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 25 26 28 29 30 35 36 39 42 45 50 52 58 60 63 65 70 71 75 78 84 87 90 91 100 105 116 117 125 126 130 140 142 145 150 156 174 175 180 181 182 195 203 210 213 225 234 250 252 260 261 273 284 290 300 315 325 348 350 355 362 364 375 377 390 406 420 426 435 450 455 468 497 500 522 525 543 546 580 585 609 625 630 639 650 700 710 724 725 750 754 780 812 819 852 870 875 900 905 910 923 975 994 1015 1044 1050 1065 1086 1092 1125 1131 1170 1218 1250 1260 1267 1278 1300 1305 1365 1420 1450 1491 1500 1508 1575 1625 1629 1638 1740 1750 1775 1810 1820 1827 1846 1875 1885 1950 1988 2030 2059 2100 2130 2172 2175 2250 2262 2275 2340 2353 2436 2485 2500 2534 2556 2610 2625 2639 2715 2730 2769 2900 2925 2982 3045 3150 3195 3250 3258 3276 3393 3500 3550 3620 3625 3654 3692 3750 3770 3801 3900 4060 4095 4118 4260 4350 4375 4473 4500 4524 4525 4550 4615 4706 4875 4970 5068 5075 5220 5249 5250 5278 5325 5430 5460 5538 5625 5655 5850 5964 6090 6177 6300 6335 6390 6461 6500 6516 6525 6786 6825 7059 7100 7250 7308 7455 7500 7540 7602 7875 7917 8125 8145 8190 8236 8307 8700 8750 8875 8946 9050 9100 9135 9230 9412 9425 9750 9940 10150 10295 10498 10500 10556 10650 10860 10875 11076 11250 11310 11375 11403 11700 11765 12180 12354 12425 12670 12780 12851 12922 13050 13125 13195 13572 13575 13650 13845 14118 14413 14500 14625 14910 15204 15225 15747 15750 15834 15975 16250 16290 16380 16471 16614 16965 17500 17750 17892 18100 18125 18270 18460 18531 18850 19005 19383 19500 20300 20475 20590 20996 21177 21300 21750 22365 22500 22620 22625 22750 22806 23075 23530 23751 24375 24708 24850 25340 25375 25702 25844 26100 26245 26250 26390 26625 26767 27150 27300 27690 28236 28275 28826 29250 29820 30450 30885 31494 31500 31668 31675 31950 32305 32500 32580 32625 32761 32942 33228 33930 34125 35295 35500 36250 36540 36743 37062 37275 37700 38010 38553 38766 39375 39585 40725 40950 41180 41535 42354 43239 43500 44375 44730 45250 45500 45612 45675 46150 47060 47125 47241 47502 48750 49413 49700 50750 51404 51475 52490 52500 52780 53250 53534 54300 54375 55380 56550 56875 57015 57652 58149 58500 58825 60900 61770 62125 62988 63350 63900 64255 64610 65250 65522 65884 65975 67860 67875 68237 68250 69225 70590 72065 72500 73125 73486 74124 74550 76020 76125 77106 77532 78735 78750 79170 79875 80301 81450 81900 82355 83070 84708 84825 86478 88750 89460 89957 90500 91350 92300 92655 94250 94482 95004 95025 96915 97500 98283 98826 101500 102375 102950 104980 105885 106500 107068 108750 110229 111825 113100 113125 113750 114030 115375 115659 116298 117650 118755 123540 124250 126700 126875 128510 129220 129717 130500 131044 131225 131950 133125 133835 135750 136474 136500 138450 141180 141375 144130 146250 146972 148239 149100 152250 154212 154425 157470 157500 158340 158375 159750 160602 161525 162900 163125 163805 164710 166140 167063 169650 170625 172956 176475 177500 179914 182700 183715 185310 186375 187369 188500 188964 190050 192765 193830 196566 197652 197925 203625 204711 204750 205900 207675 211770 216195 217500 220458 223650 226250 227500 228060 228375 229327 230750 231318 232596 235300 235625 236205 237510 240903 247065 248500 253750 257020 257375 259434 262450 263900 266250 267670 269871 271500 272948 276900 282750 285075 288260 290745 292500 294125 294849 296478 304500 308850 310625 314940 316750 319500 321204 321275 323050 326250 327610 329420 329875 330687 334126 339300 339375 341185 341250 346125 352950 359828 360325 367430 370620 372679 372750 374738 380100 380625 385530 387660 393132 393675 395850 399375 401505 407250 409422 409500 411775 415350 423540 424125 425893 432390 440916 447300 449785 452500 456750 458654 461500 462636 463275 471250 472410 475020 475125 477659 481806 484575 491415 494130 501189 507500 511875 514750 518868 524900 529425 532500 535340 539742 551145 559125 562107 565500 570150 576875 578295 581490 588250 589698 592956 593775 614133 617700 621250 633500 642550 646100 648585 652500 655220 656125 659750 661374 668252 669175 678750 682370 682500 687981 692250 705900 706875 720650 734860 741195 745358 745500 749476 761250 771060 772125 787350 791700 791875 798750 803010 807625 809613 814500 818844 819025 823550 830700 835315 848250 851786 864780 882375 899570 913500 917308 918575 926550 931875 936845 942500 944820 950069 950250 955318 963612 963825 969150 982830 988260 989625 1002378 1018125 1023555 1023750 1029500 1038375 1058850 1079484 1080975 1102290 1118037 1118250 1124214 1140300 1141875 1146635 1153750 1156590 1162980 1169441 1176500 1179396 1181025 1187550 1204515 1228266 1235325 1242500 1277679 1285100 1286875 1297170 1312250 1319500 1322748 1338350 1349355 1357500 1364740 1375962 1384500 1413750 1425375 1432977 1441300 1453725 1470625 1474245 1482390 1490716 1503567 1522500 1544250 1574700 1583750 1597500 1606020 1606375 1615250 1619226 1638050 1647100 1649375 1653435 1670630 1686321 1696500 1703572 1705925 1730625 1764750 1799140 1801625 1837150 1853100 1863395 1863750 1873690 1900138 1900500 1910636 1927650 1938300 1965660 1968375 1979250 2004756 2007525 2036250 2047110 2047500 2058875 2063943 2076750 2117700 2120625 2129465 2161950 2204580 2236074 2236500 2248428 2248925 2283750 2293270 2307500 2313180 2316375 2326031 2338882 2362050 2375100 2375625 2388295 2409030 2422875 2456532 2457075 2470650 2505945 2555358 2573750 2594340 2608753 2624500 2647125 2676700 2698710 2751924 2755725 2795625 2810535 2827500 2850207 2850750 2865954 2891475 2907450 2941250 2948490 2964780 2968875 2981251 3007134 3070665 3088500 3167500 3212750 3230500 3238452 3242925 3276100 3280625 3298750 3306870 3341260 3345875 3354111 3372642 3411850 3439905 3461250 3508323 3529500 3603250 3674300 3705975 3726790 3727500 3747380 3800276 3833037 3855300 3860625 3936750 3958500 4015050 4038125 4048065 4072500 4094220 4095125 4117750 4127886 4153500 4176575 4241250 4258930 4298931 4323900 4411875 4472148 4497850 4567500 4586540 4592875 4632750 4652062 4677764 4684225 4724100 4750345 4751250 4776590 4818060 4819125 4844827 4845750 4914150 4941300 4948125 5011890 5110716 5117775 5147500 5191875 5217506 5294250 5397420 5404875 5511450 5590185 5591250 5621070 5700414 5701500 5731908 5733175 5782950 5814900 5847205 5882500 5896980 5905125 5937750 5962502 6014268 6022575 6141330 6176625 6388395 6425500 6485850 6561250 6597500 6613740 6650483 6691750 6708222 6745284 6746775 6823700 6879810 6922500 6978093 7016646 7126875 7164885 7206500 7268625 7371225 7411950 7453580 7517835 7666074 7721250 7826259 7873500 8030100 8031875 8076250 8096130 8190250 8235500 8255772 8267175 8353150 8431605 8482500 8517860 8529625 8550621 8597862 8823750 8943753 8995700 9008125 9185750 9265500 9304124 9316975 9368450 9500690 9502500 9553180 9638250 9689654 9691500 9828300 9841875 9896250 10023780 10037625 10235550 10294375 10319715 10383750 10435012 10524969 10588500 10647325 10809750 11022900 11180370 11182500 11242140 11244625 11400828 11466350 11565900 11581875 11630155 11694410 11810250 11875500 11925004 11941475 12045150 12114375 12282660 12285375 12350897 12353250 12529725 12776790 12971700 13043765 13122500 13235625 13300966 13383500 13416444 13493550 13759620 13778625 13956186 14033292 14052675 14251035 14253750 14329770 14457375 14534481 14537250 14742450 14823900 14844375 14906255 15035670 15332148 15353325 15442500 15652518 16063750 16152500 16192260 16214625 16282217 16380500 16534350 16706300 16729375 16770555 16863210 17059250 17101242 17195724 17199525 17541615 17647500 17887506 18016250 18371500 18529875 18633950 18736900 19001380 19165185 19276500 19379308 19683750 19792500 19951449 20075250 20240325 20471100 20475625 20588750 20639430 20767500 20882875 20934279 21049938 21294650 21494655 21619500 22360740 22489250 22932700 22964375 23163750 23260310 23388820 23421125 23478777 23620500 23751725 23882950 24090300 24095625 24224135 24228750 24570750 24701794 24706500 25059450 25553580 25588875 26087530 26471250 26601932 26831259 26987100 27024375 27557250 27912372 27950925 28105350 28502070 28507500 28659540 28665875 28914750 29068962 29074500 29236025 29484900 29525625 29688750 29812510 30071340 30112875 30238403 30706650 30883125 31305036 31941975 32127500 32429250 32564434 33068700 33252415 33458750 33541110 33726420 33733875 33913789 34118500 34202484 34399050 34890465 35083230 35775012 35824425 36032500 36343125 36856125 37052691 37059750 37267900 37589175 38330370 39131295 39367500 39902898 40150500 40480650 40951250 41177500 41278860 41335875 41765750 41868558 42099876 42158025 42589300 42648125 42753105 42989310 43603443 44718765 44978500 45928750 46327500 46520620 46584875 46842250 46957554 47503450 47765900 48191250 48448270 48457500 48846651 49141500 49403588 50118900 50188125 51177750 51598575 52175060 52624845 52942500 53236625 53662518 54048750 55114500 55901850 56210700 56223125 57004140 57331750 57829500 58137924 58150775 58472050 59051250 59377500 59625020 59707375 59854347 60225750 60476806 61413300 61426875 61754485 61766250 62648625 63883950 64858500 65128868 65218825 66504830 66917500 67082220 67454899 67467750 67827578 68798100 68893125 69780930 70166460 70263375 71255175 71648850 72286875 72672405 72686250 73712250 74105382 74119500 74531275 75178350 76660740 76766625 78262590 79805796 80961300 81073125 81411085 81902500 82671750 83531500 83737116 83852775 84316050 85296250 85506210 85978620 85997625 86456279 87206886 87708075 89437530 90715209 91857500 92649375 93169750 93684500 93915108 95006900 95825925 96382500 96896540 97693302 99757245 100376250 101201625 101741367 102355500 103197150 104414375 104671395 105249690 106473250 107325036 107473275 108097500 111158073 111803700 112446250 114663500 116301550 116944100 117105625 117393885 118102500 118758625 119414750 119708694 120451500 120953612 121120675 122853750 123508970 123532500 125297250 127767900 127944375 130437650 133009660 134156295 134909798 134935500 135655156 137786250 139561860 139754625 140526750 142510350 143297700 143329375 144573750 145344810 145372500 146180125 146539953 147424500 148210764 149062550 150356700 150564375 151192015 153533250 156525180 159709875 162146250 162822170 165343500 166262075 167705550 168632100 168669375 169568945 170592500 171012420 171995250 172912558 174413772 174452325 175416150 178875060 179122125 181430418 184280625 185263455 185298750 186339500 187945875 191651850 195386604 195656475 199514490 200752500 202364697 202403250 203482734 206394300 206679375 208828750 209342790 210499380 210790125 211668821 212946500 213765525 214946550 218017215 222316146 223593825 224892500 232603100 232924375 234211250 234787770 237517250 238829500 239417388 242241350 244233255 245707500 247017940 250594500 255888750 257992875 259368837 260875300 263124225 266183125 268312590 269819596 272145627 275572500 279509250 281053500 285020700 286658750 289147500 290689620 290753875 292360250 293079906 298125100 298536875 299271735 301128750 302384030 305224101 307066500 308772425 313243125 319419750 324292500 325644340 326094125 332524150 335411100 337274495 337338750 339137890 343990500 345825116 348904650 350832300 351316875 356275875 358244250 362860836 363362025 368561250 370526910 370597500 372656375 375891750 383303700 383833125 391312950 399028980 404729394 404806500 406965468 407055425 413358750 417657500 418685580 419263875 421580250 423337642 427531050 429893100 429988125 432281395 436034430 438540375 444632292 447187650 453576045 465848750 468422500 469575540 472184293 475034500 479129625 484482700 488466510 498786225 506008125 508706835 511777500 515985750 518737674 523356975 526248450 532366250 536625180 537366375 544291254 555790365 559018500 573317500 581507750 584720500 586159812 586969425 593793125 597073750 598543470 602257500 604768060 605603375 607094091 610448202 617544850 626486250 635006463 638839500 652188250 665048300 670781475 674548990 674677500 678275780 697809300 698773125 702633750 712551750 716488500 726724050 730900625 732699765 737122500 741053820 745312750 751783500 755960075 767666250 778106511 782625900 798549375 809458788 814110850 826717500 831310375 838527750 843160500 846675284 847844725 855062100 859976250 864562790 872068860 872261625 876913687 877080750 894375300 895610625 907152090 926317275 931697500 939729375 944368586 958259250 976933020 978282375 997572450 1011823485 1012016250 1017413670 1031971500 1037475348 1046713950 1052496900 1053950625 1058344105 1064732500 1068827625 1074732750 1088582508 1090086075 1111580730 1117969125 1163015500 1173938850 1187586250 1194147500 1197086940 1211206750 1214188182 1220896404 1221166275 1235089700 1252972500 1270012926 1289964375 1296844185 1304376500 1315621125 1341562950 1349097980 1360728135 1397546250 1405267500 1416552879 1425103500 1453448100 1453769375 1461801250 1465399530 1490625500 1496358675 1511920150 1526120505 1535332500 1543862125 1556213022 1597098750 1628221700 1630470625 1662620750 1677055500 1686372475 1695689450 1719952500 1729125580 1744523250 1753827374 1754161500 1781379375 1791221250 1814304180 1816810125 1852634550 1863281875 1879458750 1888737172 1905019389 1916518500 1956564750 1995144900 2023646970 2024032500 2034827340 2035277125 2093427900 2096319375 2107901250 2116688210 2137655250 2149465500 2161406975 2180172150 2192701875 2223161460 2235938250 2267880225 2347877700 2360921465 2375172500 2395648125 2422413500 2428376364 2442332550 2493931125 2540025852 2543534175 2579928750 2593688370 2616784875 2630741061 2631242250 2683125900 2686831875 2721456270 2778951825 2795092500 2833105758 2907538750 2923602500 2930799060 2934847125 2992717350 3023840300 3028016875 3035470455 3052241010 3087724250 3112426044 3175032315 3194197500 3260941250 3325241500 3353907375 3372744950 3391378900 3489046500 3507654748 3562758750 3582442500 3633620250 3663498825 3705269100 3726563750 3758917500 3779800375 3810038778 3890532555 3913129500 4047293940 4070554250 4156551875 4192638750 4215802500 4233376420 4239223625 4249658637 4275310500 4322813950 4360344300 4361308125 4384568435 4385403750 4471876500 4535760450 4631586375 4721842930 4791296250 4884665100 4891411875 4987862250 5059117425 5087068350 5159857500 5187376740 5233569750 5261482122 5262484500 5291720525 5344138125 5373663750 5442912540 5450430375 5557903650 5589845625 5666211516 5815077500 5869694250 5985434700 6056033750 6070940910 6104482020 6105831375 6138395809 6175448500 6350064630 6484220925 6521882500 6578105625 6707814750 6745489900 6803640675 7082764395 7125517500 7267240500 7326997650 7453127500 7481793375 7559600750 7620077556 7630602525 7719310625 7781065110 7892223183 8141108500 8313103750 8385277500 8431862375 8478447250 8499317274 8645627900 8722616250 8769136870 8770807500 9071520900 9084050625 9263172750 9443685860 9525096945 9582592500 9782823750 9975724500 10118234850 10174136700 10176385625 10467139500 10522964244 10583441050 10688276250 10747327500 10807034875 10900860750 11115807300 11179691250 11339401125 11739388500 11804607325 12112067500 12141881820 12211662750 12276791618 12469655625 12700129260 12717670875 12968441850 13083924375 13153705305 13156211250 13415629500 13607281350 13894759125 14165528790 14653995300 14674235625 14963586750 15119201500 15177352275 15261205050 15438621250 15562130220 15784446366 15875161575 16626207500 16769536875 16863724750 16956894500 16998634548 17445232500 17538273740 18168101250 18317494125 18415187427 18526345500 18899001875 19050193890 19452662775 19565647500 20236469700 20352771250 21166882100 21196118125 21248293185 21376552500 21614069750 21801721500 21922842175 22359382500 22678802250 23157931875 23609214650 24423325500 24553583236 24939311250 25295587125 25435341750 25936883700 26167848750 26307410610 26312422500 26458602625 27214562700 27252151875 27789518250 28331057580 29348471250 29927173500 30354704550 30522410100 30529156875 30691979045 30877242500 31568892732 31750323150 32421104625 33539073750 33727449500 34018203375 35413821975 36336202500 36634988250 36830374854 37408966875 37798003750 38100387780 38153012625 38905325550 39461115915 40705542500 42159311875 42392236250 42496586370 43228139500 43845684350 45357604500 46315863750 47218429300 47625484725 49878622500 50591174250 50870683500 52335697500 52614821220 52917205250 54035174375 54504303750 55245562281 55579036500 56697005625 58696942500 59023036625 60709409100 61058313750 61383958090 63500646300 63588354375 64842209250 65768526525 67078147500 68036406750 69473795625 70827643950 73269976500 73660749708 74817933750 75596007500 75886761375 76306025250 77810651100 78922231830 79375807875 84318623750 84784472500 84993172740 87691368700 91587470625 92075937135 92631727500 95250969450 97263313875 101182348500 105834410500 106241465925 108070348750 109008607500 109614210875 110491124562 113394011250 118046073250 122116627500 122767916180 126477935625 127176708750 129684418500 131537053050 132293013125 136072813500 138947591250 141655287900 149635867500 151773522750 152612050500 153459895225 157844463660 158751615750 162105523125 168637247500 170091016875 177069109875 183174941250 184151874270 190501938900 190765063125 194526627750 197305579575 212482931850 216140697500 219228421750 220982249124 226788022500 236092146500 238127423625 252955871250 254353417500 263074106100 264586026250 276227811405 277895182500 295115183125 303547045500 306919790450 317503231500 324211046250 328842632625 340182033750 354138219750 366349882500 368303748540 379433806875 381530126250 389053255500 394611159150 396879039375 424965863700 438456843500 460379685675 476254847250 486316569375 505911742500 529172052500 531207329625 548071054375 552455622810 590230366250 613839580900 648422092500 657685265250 680364067500 708276439500 758867613750 763060252500 767299476125 789222318300 793758078750 885345549375 920759371350 952509694500 972633138750 986527897875 1062414659250 1096142108750 1104911245620 1180460732500 1190637118125 1315370530500 1381139057025 1517735227500 1534598952250 1587516157500 1644213163125 1770691098750 1841518742700 1945266277500 1973055795750 2124829318500 2192284217500 2301898428375 2381274236250 2656036648125 2762278114050 3069197904500 3288426326250 3541382197500 3836497380625 3946111591500 4603796856750 4762548472500 4932639489375 5312073296250 5524556228100 6576852652500 6905695285125 7672994761250 9207593713500 9865278978750 10624146592500 11509492141875 13811390570250 15345989522500 19730557957500 23018984283750 27622781140500 34528476425625 46037968567500 69056952851250 138113905702500
- Sum of all divisors σ(n): 566405349269760
- Sum of proper divisors (its aliquot sum) s(n): 428291443567260
- 138113905702500 is an abundant number, because the sum of its proper divisors (428291443567260) is greater than itself. Its abundance is 290177537864760
Bases of 138113905702500
- Binary: 111110110011101001001100100100110110110011001002
- Hexadecimal: 0x7D9D2649B664
- Base-36: 1CYGNHGK10
Squares and roots of 138113905702500
- 138113905702500 squared (1381139057025002) is 19075450948399062018506250000
- 138113905702500 cubed (1381139057025003) is 2634585033519852244963421522406890625000000
-
The
square root of 138113905702500 is 11752187.2731206933 -
The
cube root of 138113905702500 is 51690.7066019355
Scales and comparisons
How big is 138113905702500?- 138,113,905,702,500 seconds is equal to 4,391,594 years, 51 weeks, 2 days, 6 hours, 15 minutes.
-
To count from 1 to 138,113,905,702,500 would take you about ten million, nine hundred seventy-eight thousand, nine hundred eighty-seven 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 138113905702500 cubic inches would be around 4307.6 feet tall.
Recreational maths with 138113905702500
- 138113905702500 backwards is 005207509311831
- 138113905702500 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138113905702500's digits is 45
- More coming soon!
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MLA style:
"Number 138113905702500 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 138113905702500 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/138113905702500/
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Numbermatics. 2024. "Number 138113905702500 - Facts about the integer". https://numbermatics.com/n/138113905702500/
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