138087311934000
138,087,311,934,000 is an even composite number composed of seven prime numbers multiplied together.
138087311934000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 138087311934000:
24 × 3 × 53 × 112 × 132 × 29 × 1972
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 11 × 13 × 13 × 29 × 197 × 197)See below for interesting mathematical facts about the number 138087311934000 from the Numbermatics database.
Names of 138087311934000
- Cardinal: 138087311934000 can be written as One hundred thirty-eight trillion, eighty-seven billion, three hundred eleven million, nine hundred thirty-four thousand.
Scientific notation
- Scientific notation: 1.38087311934 × 1014
Factors of 138087311934000
Divisors of 138087311934000
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 25 26 29 30 33 39 40 44 48 50 52 55 58 60 65 66 75 78 80 87 88 100 104 110 116 120 121 125 130 132 143 145 150 156 165 169 174 176 195 197 200 208 220 232 240 242 250 260 264 275 286 290 300 312 319 325 330 338 348 363 375 377 390 394 400 429 435 440 464 484 500 507 520 528 550 572 580 591 600 605 624 638 650 660 676 696 715 725 726 750 754 780 788 825 845 858 870 880 957 968 975 985 1000 1014 1040 1100 1131 1144 1160 1182 1200 1210 1276 1300 1320 1352 1375 1392 1430 1450 1452 1500 1508 1560 1573 1576 1595 1625 1650 1690 1716 1740 1815 1859 1885 1914 1936 1950 1970 2000 2028 2145 2167 2175 2200 2262 2288 2320 2364 2420 2535 2552 2561 2600 2640 2704 2750 2860 2900 2904 2955 3000 3016 3025 3120 3146 3152 3190 3250 3300 3380 3432 3480 3509 3575 3625 3630 3718 3770 3828 3900 3940 4056 4125 4147 4225 4290 4334 4350 4400 4524 4719 4728 4785 4840 4875 4901 4925 5070 5104 5122 5200 5500 5577 5655 5713 5720 5800 5808 5910 6000 6032 6050 6292 6380 6500 6501 6600 6760 6864 6960 7018 7150 7250 7260 7436 7540 7656 7683 7800 7865 7880 7975 8112 8250 8294 8450 8580 8668 8700 9048 9075 9295 9425 9438 9456 9570 9680 9750 9802 9850 10140 10244 10527 10725 10835 10875 11000 11154 11310 11426 11440 11600 11820 12100 12441 12584 12675 12760 12805 13000 13002 13200 13520 14036 14300 14500 14520 14703 14775 14872 15080 15125 15312 15366 15600 15730 15760 15950 16500 16588 16900 17139 17160 17336 17400 17545 17875 18096 18150 18590 18850 18876 19140 19500 19604 19700 20280 20449 20488 20735 21054 21125 21450 21670 21750 22000 22308 22620 22852 23595 23640 23837 23925 24200 24505 24625 24882 25168 25350 25520 25610 26000 26004 27885 28072 28171 28275 28565 28600 29000 29040 29406 29550 29744 30160 30250 30732 31460 31900 32505 33000 33176 33293 33800 34278 34320 34672 34800 35090 35750 36300 37180 37700 37752 38280 38415 38809 39000 39208 39325 39400 39875 40560 40898 40976 41470 42108 42250 42900 43340 43500 44616 45240 45375 45617 45704 46475 47125 47190 47280 47674 47850 48400 49010 49250 49764 50700 51220 52008 52635 53625 53911 54175 55770 56144 56342 56550 57130 57200 58000 58812 59100 60500 61347 61464 62205 62843 62920 63375 63800 64025 65010 66000 66352 66586 67600 68556 70180 71500 71511 72600 73515 73875 74269 74360 75400 75504 76560 76830 77618 78000 78416 78650 78800 79750 81796 82940 84216 84500 84513 85695 85800 86680 87000 87725 89232 90480 90750 91234 91408 92950 94250 94380 95348 95700 98020 98500 99528 99879 101400 102245 102440 103675 104016 105270 107250 107822 108350 111540 112684 113100 114260 116427 117624 117975 118200 119185 119625 121000 122525 122694 122928 124410 125686 125840 126750 127600 128050 130020 133172 136851 137112 139425 140360 140855 141375 142825 143000 143022 145200 147030 147750 148538 148720 150800 153660 155236 157300 159500 161733 162525 163592 165880 166465 168432 169000 169026 171390 171600 173360 174000 175450 181500 182468 185900 188500 188529 188760 190696 191400 192075 194045 196040 196625 197000 199056 199758 202800 204490 204880 207350 210540 214500 215644 216700 222807 223080 225368 226200 228085 228520 232375 232854 235248 235950 236400 238370 239250 242000 245050 245388 248820 251372 253500 256100 260040 263175 266344 269555 270875 273702 274224 278850 280720 281710 282750 285650 286000 286044 294060 295500 297076 306735 307320 309881 310472 311025 314215 314600 319000 320125 323466 325050 327184 331760 332930 338000 338052 342780 350900 357555 363000 364936 366223 367575 371345 371800 377000 377058 377520 381392 382800 384150 388090 392080 393250 394000 399516 408980 414700 421080 422565 426899 428475 429000 431288 433400 438625 445614 446160 450736 452400 456170 457040 464750 465708 471900 476740 478500 490100 490776 497640 499395 502744 504517 507000 511225 512200 518375 520080 526350 532688 539110 541750 547404 557700 563420 565500 571300 572088 582135 588120 589875 591000 593021 594152 595925 612625 613470 614640 619762 620944 622050 628430 629200 638000 640250 646932 650100 665860 676104 684255 685560 691273 697125 701800 704275 714125 715110 726000 729872 732446 735150 742690 743600 754000 754116 768300 776180 786500 799032 808665 812625 816959 817960 829400 832325 842160 845130 853798 856950 858000 862576 866800 877250 891228 912340 929500 929643 931416 942645 943800 953480 957000 960375 965497 970225 980200 981552 995280 998790 1005488 1009034 1014000 1022450 1024400 1036750 1052700 1078220 1083500 1094808 1098669 1114035 1115400 1125461 1126840 1131000 1140425 1142600 1144176 1164270 1176240 1179750 1182000 1186042 1188304 1191850 1225250 1226940 1239524 1244100 1256860 1280500 1280697 1293864 1300200 1315875 1331720 1347775 1352208 1368510 1371120 1382546 1394250 1403600 1408550 1428250 1430220 1464892 1470300 1485380 1508232 1513551 1533675 1536600 1549405 1552360 1555125 1571075 1573000 1598064 1617330 1625250 1633918 1635920 1658800 1664650 1690260 1707596 1713900 1754500 1779063 1782456 1787775 1824680 1831115 1837875 1856725 1859000 1859286 1862832 1885290 1887600 1906960 1914000 1920750 1930994 1940450 1960400 1997580 2018068 2044900 2073500 2073819 2105400 2112825 2134495 2142375 2156440 2167000 2189616 2197338 2228070 2230800 2250922 2253680 2262000 2280850 2285200 2328540 2359500 2372084 2383700 2450500 2450877 2453880 2479048 2488200 2496975 2513720 2522585 2556125 2561000 2561394 2587728 2600400 2631750 2663440 2695550 2737020 2765092 2788500 2817100 2856500 2860440 2896491 2910675 2929784 2940600 2965105 2970760 2979625 3016464 3027102 3067350 3073200 3098810 3104720 3110250 3142150 3146000 3234660 3250500 3267836 3329300 3376383 3380520 3415192 3421275 3427800 3456365 3509000 3521375 3558126 3564912 3575550 3649360 3662230 3675750 3713450 3718000 3718572 3770580 3841500 3861988 3880900 3995160 4028453 4036136 4043325 4084795 4089800 4147000 4147638 4161625 4210800 4225650 4268990 4284750 4312880 4334000 4394676 4456140 4501844 4561700 4648215 4657080 4695889 4713225 4719000 4744168 4767400 4827485 4851125 4901000 4901754 4907760 4958096 4976400 4993950 5027440 5045170 5112250 5122000 5122788 5263500 5391100 5474040 5493345 5530184 5549687 5570175 5577000 5627305 5634200 5702125 5713000 5720880 5792982 5821350 5859568 5881200 5930210 5941520 5959250 6054204 6134700 6197620 6220500 6284300 6403485 6469320 6501000 6535672 6558721 6658600 6738875 6752766 6761040 6830384 6842550 6855600 6912730 7018000 7042750 7116252 7151100 7324460 7351500 7426900 7437144 7541160 7567755 7668375 7683000 7723976 7747025 7761800 7855375 7990320 8056906 8072272 8086650 8169590 8179600 8294000 8295276 8323250 8451300 8537980 8569500 8789352 8895315 8912280 8938875 8986549 9003688 9123400 9155575 9283625 9296430 9314160 9391778 9426450 9438000 9488336 9534800 9654970 9702250 9802000 9803508 9987900 10090340 10224500 10245576 10369095 10527000 10564125 10620467 10672475 10782200 10948080 10986690 11060368 11099374 11140350 11154000 11254610 11268400 11404250 11426000 11585964 11642700 11860420 11918500 12085359 12108408 12254385 12269400 12380071 12395240 12441000 12484875 12568600 12612925 12806970 12938640 13002000 13071344 13117442 13317200 13477750 13505532 13685100 13825460 14085500 14087667 14232504 14302200 14482455 14553375 14630993 14648920 14703000 14825525 14853800 14874288 15082320 15135510 15336750 15366000 15447952 15494050 15523600 15710750 16113812 16173300 16339180 16590552 16646500 16649061 16881915 16902600 17075960 17106375 17139000 17281825 17578704 17790630 17824560 17877750 17973098 18007376 18246800 18311150 18567250 18592860 18783556 18852900 19309940 19404500 19607016 19676163 19975800 20142265 20180680 20216625 20423975 20449000 20491152 20738190 21054000 21128250 21240934 21344950 21564400 21973380 22198748 22280700 22509220 22808500 23171928 23241075 23285400 23479445 23566125 23720840 23837000 24137425 24170718 24216816 24508770 24538800 24760142 24790480 24882000 24969750 25137200 25225850 25613940 26234884 26955500 26959647 27011064 27370200 27466725 27650920 27748435 27850875 28136525 28171000 28175334 28465008 28604400 28964910 29106750 29261986 29297840 29406000 29651050 29707600 30271020 30673500 30988100 31421500 31861401 32017425 32227624 32346600 32678360 32793605 33181104 33293000 33298122 33763830 33805200 34151920 34212750 34278000 34563650 35581260 35755500 35946196 36622300 37134500 37140213 37185720 37567112 37705800 37838775 38619880 38735125 38809000 39214032 39352326 39951600 40284530 40361360 40433250 40847950 40898000 41476380 42256500 42481868 42689900 43892979 43946760 44397496 44476575 44561400 44932745 45018440 45617000 45777875 46343856 46482150 46570800 46958890 47132250 47441680 47674000 48274850 48341436 49017540 49520284 49939500 50451700 51227880 51845475 52469768 53102335 53362375 53911000 53919294 54022128 54740400 54933450 55301840 55496870 55701750 56273050 56342000 56350668 57929820 58213500 58523972 59302100 60426795 60542040 61046557 61271925 61347000 61900355 61976200 62843000 63064625 63722802 64034850 64455248 64693200 65356720 65587210 66586000 66596244 67527660 68425500 69127300 70438335 71162520 71511000 71892392 72145931 72412275 73154965 73244600 74127625 74269000 74280426 74371440 75134224 75411600 75677550 77239760 77470250 77618000 78704652 80569060 80866500 81695900 82952760 83245305 84409575 84513000 84963736 85379800 86409125 87785958 87893520 88794992 88953150 89122800 89865490 90036880 91234000 91555750 92964300 93917780 94264500 96549700 96682872 98035080 98380815 99040568 99879000 100711325 100903400 102119875 102455760 103690950 104939536 106204670 106724750 107822000 107838588 109866900 110993740 111403500 112546100 112701336 115859640 116205375 116427000 116825137 117047944 117397225 118604200 120687125 120853590 121084080 122093114 122543850 122694000 123800710 123952400 125686000 126129250 127445604 128069700 131174420 133192488 134798235 135055320 136180781 136851000 137333625 138254600 138742175 140682625 140876670 142325040 143022000 143784784 144291862 144824550 146309930 146489200 148255250 148538000 148560852 151355100 154940500 157409304 159307005 160087125 160940923 161138120 161733000 163391800 163968025 165905520 166490610 168819150 169026000 169927472 170759600 172818250 175571916 177906300 179730980 183111500 183139671 185701065 185928600 187835560 188529000 189193875 190202909 193099400 193365744 196070160 196761630 198081136 199758000 201422650 201806800 204239750 207381900 212409340 213449500 215677176 216437793 219464895 219733800 221987480 222382875 222807000 224663725 225092200 225402672 231719280 232410750 232854000 233650274 234095888 234794450 237208400 241374250 241707180 244186228 245087700 247601420 252258500 254891208 256139400 259227375 262348840 265511675 266384976 269596470 270110640 272361562 273702000 274667250 276509200 277484350 281365250 281753340 288583724 289649100 292619860 296510500 297121704 302133975 302710200 305232785 306359625 309501775 309881000 314818608 318614010 320174250 321881846 322276240 323466000 326783600 327936050 332981220 337638300 345636500 350475411 351143832 352191675 355812600 359461960 360729655 362061375 365774825 366223000 366279342 371402130 371857200 375671120 377058000 378387750 380405818 386198800 393523260 402845300 408479500 408542343 414763800 416226525 422047875 424818680 426899000 431354352 432875586 438929790 439467600 443974960 444765750 445614000 449327450 450184400 464821500 467300548 469588900 482748500 482822769 483414360 488372456 490175400 491904075 495202840 503556625 504517000 509782416 512278800 518454750 524697680 531023350 539192940 544723124 549334500 554968700 562730500 563506680 570608727 577167448 579298200 584125685 585239720 586986125 593021000 594243408 604267950 605420400 610465570 612719250 619003550 619762000 637228020 640348500 643763692 655872100 665962440 673991175 675276600 680903905 691273000 693710875 700950822 702287664 704383350 711625200 718923920 721459310 724122750 731549650 732446000 732558684 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1770350153 1779063000 1797309800 1803648275 1828874125 1831396710 1857010650 1859286000 1869202192 1878355600 1902029090 1930994000 1931291076 1967616300 2014226500 2042711715 2073819000 2081132625 2092231999 2124093400 2156771760 2164377930 2178892496 2194648950 2197338000 2219874800 2246637250 2250922000 2282434908 2336502740 2347944500 2380815723 2414113845 2417071800 2441862280 2450877000 2459520375 2476014200 2548912080 2561394000 2575054768 2623488400 2655116750 2695964700 2723615620 2774843500 2803803288 2817533400 2853043635 2885837240 2896491000 2920628425 2926198600 2930234736 2971217040 3021339750 3027102000 3043246544 3052327850 3095017750 3174420964 3186140100 3218818460 3268338744 3279360500 3329812200 3369955875 3376383000 3404519525 3463004688 3504754110 3511438320 3521916750 3540700306 3558126000 3594619600 3607296550 3657748250 3662793420 3714021300 3804058180 3862582152 3935232600 3968026205 3982675125 4023523075 4028453000 4085423430 4147638000 4162265250 4184463998 4248186800 4328755860 4389297900 4493274500 4564869816 4578491775 4642526625 4673005480 4695889000 4755072725 4761631446 4828227690 4834143600 4883724560 4901754000 4919040750 4952028400 5310233500 5311050459 5391929400 5410944825 5447231240 5486622375 5549687000 5607606576 5635066800 5706087270 5771674480 5792982000 5841256850 5852397200 6042679500 6104655700 6190035500 6276695997 6348841928 6372280200 6437636920 6536677488 6558721000 6659624400 6739911750 6752766000 6809039050 7009508220 7043833500 7081400612 7214593100 7315496500 7325586840 7428042600 7608116360 7630819625 7725164304 7870465200 7936052410 7965350250 8047046150 8056906000 8170846860 8324530500 8368927996 8657511720 8761885275 8778595800 8851750765 8986549000 9018241375 9129739632 9156983550 9285053250 9346010960 9391778000 9510145450 9523262892 9656455380 9838081500 10213558575 10461159995 10620467000 10622100918 10783858800 10821889650 10894462480 10973244750 11099374000 11412174540 11682513700 11904078615 12070569225 12085359000 12209311400 12380071000 12553391994 12697683856 12744560400 12875273840 13117442000 13479823500 13618078100 14019016440 14087667000 14162801224 14265218175 14429186200 14603142125 14630993000 14651173680 14856085200 15216232720 15261639250 15872104820 15930700500 16094092300 16341693720 16649061000 16737855992 17022597625 17315023440 17523770550 17557191600 17703501530 17973098000 18036482750 18313967100 18570106500 19020290900 19046525784 19312910760 19676163000 19840131025 20117615375 20427117150 20922319990 21240934000 21244201836 21643779300 21946489500 22824349080 22892458875 23014551989 23365027400 23775363625 23808157230 24141138450 24170718000 24418622800 24760142000 25106783988 26555252295 26959647000 27054724125 27236156200 28038032880 28175334000 28325602448 28530436350 28858372400 29206284250 29261986000 30523278500 31383479985 31744209640 31861401000 32188184600 32683387440 33298122000 33475711984 34045195250 35047541100 35407003060 36072965500 36627934200 37140213000 38040581800 38093051568 38625821520 39352326000 39680262050 40235230750 40854234300 41844639980 42488403672 43287558600 43809426375 43892979000 44258753825 45648698160 45784917750 46029103978 46730054800 47550727250 47616314460 48282276900 50213567976 51067792875 52305799975 53110504590 53919294000 54109448250 54472312400 57060872700 58412568500 59520393075 60352846125 61046557000 62766959970 63488419280 63722802000 64376369200 68090390500 69043655967 70095082200 70814006120 71326090875 72145931000 73255868400 74280426000 76081163600 79360524100 80470461500 81708468600 83689279960 84976807344 86575117200 87618852750 87785958000 88517507650 91569835500 92058207956 95101454500 95232628920 96564553800 99200655125 100427135952 102135585750 104611599950 106221009180 108218896500 114121745400 115072759945 116825137000 119040786150 120705692250 122093114000 125533919940 132776261475 136180781000 138087311934 140190164400 141628012240 142652181750 144291862000 156917399925 158721048200 160940923000 163416937200 167378559920 175237705500 177035015300 183139671000 184116415912 190202909000 190465257840 193129107600 198401310250 204271171500 209223199900 212442018360 216437793000 221293769125 228243490800 230145519890 233650274000 238081572300 241411384500 251067839880 261528999875 265552522950 272361562000 276174623868 285304363500 297601965375 313834799850 317442096400 321881846000 345218279835 350475411000 354070030600 366279342000 368232831824 380405818000 396802620500 408542343000 418446399800 424884036720 432875586000 442587538250 460291039780 476163144600 482822769000 502135679760 523057999750 531105045900 552349247736 570608727000 575363799725 595203930750 627669599700 663881307375 690436559670 700950822000 708140061200 784586999625 793605241000 817084686000 836892799600 885175076500 920582079560 952326289200 965645538000 1046115999500 1062210091800 1104698495472 1141217454000 1150727599450 1190407861500 1255339199400 1327762614750 1380873119340 1569173999250 1587210482000 1726091399175 1770350153000 1841164159120 2092231999000 2124420183600 2301455198900 2380815723000 2510678398800 2655525229500 2761746238680 2876818998625 3138347998500 3452182798350 3540700306000 4184463998000 4602910397800 4761631446000 5311050459000 5523492477360 5753637997250 6276695997000 6904365596700 8630456995875 9205820795600 10622100918000 11507275994500 12553391994000 13808731193400 17260913991750 23014551989000 27617462386800 34521827983500 46029103978000 69043655967000 138087311934000
- Sum of all divisors σ(n): 550950801579360
- Sum of proper divisors (its aliquot sum) s(n): 412863489645360
- 138087311934000 is an abundant number, because the sum of its proper divisors (412863489645360) is greater than itself. Its abundance is 274776177711360
Bases of 138087311934000
- Binary: 111110110010110111101010010110100000010001100002
- Hexadecimal: 0x7D96F52D0230
- Base-36: 1CY4FO7SXC
Squares and roots of 138087311934000
- 138087311934000 squared (1380873119340002) is 19068105717157818820356000000
- 138087311934000 cubed (1380873119340003) is 2633063462155660503353554880928504000000000
-
The
square root of 138087311934000 is 11751055.7795459383 -
The
cube root of 138087311934000 is 51687.3887151115
Scales and comparisons
How big is 138087311934000?- 138,087,311,934,000 seconds is equal to 4,390,749 years, 20 weeks, 1 day, 20 minutes.
-
To count from 1 to 138,087,311,934,000 would take you about ten million, nine hundred seventy-six thousand, eight hundred seventy-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 138087311934000 cubic inches would be around 4307.3 feet tall.
Recreational maths with 138087311934000
- 138087311934000 backwards is 000439113780831
- 138087311934000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138087311934000's digits is 48
- More coming soon!
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MLA style:
"Number 138087311934000 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 138087311934000 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/138087311934000/
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The information we have on file for 138087311934000 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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