138624445290240
138,624,445,290,240 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138624445290240 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1296 divisors.
138624445290240 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138624445290240:
28 × 32 × 5 × 7 × 13 × 17 × 27892
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 13 × 17 × 2789 × 2789)See below for interesting mathematical facts about the number 138624445290240 from the Numbermatics database.
Names of 138624445290240
- Cardinal: 138624445290240 can be written as One hundred thirty-eight trillion, six hundred twenty-four billion, four hundred forty-five million, two hundred ninety thousand, two hundred forty.
Scientific notation
- Scientific notation: 1.3862444529024 × 1014
Factors of 138624445290240
Divisors of 138624445290240
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 17 18 20 21 24 26 28 30 32 34 35 36 39 40 42 45 48 51 52 56 60 63 64 65 68 70 72 78 80 84 85 90 91 96 102 104 105 112 117 119 120 126 128 130 136 140 144 153 156 160 168 170 180 182 192 195 204 208 210 221 224 234 238 240 252 255 256 260 272 273 280 288 306 312 315 320 336 340 357 360 364 384 390 408 416 420 442 448 455 468 476 480 504 510 520 544 546 560 576 585 595 612 624 630 640 663 672 680 714 720 728 765 768 780 816 819 832 840 884 896 910 936 952 960 1008 1020 1040 1071 1088 1092 1105 1120 1152 1170 1190 1224 1248 1260 1280 1326 1344 1360 1365 1428 1440 1456 1530 1547 1560 1632 1638 1664 1680 1768 1785 1792 1820 1872 1904 1920 1989 2016 2040 2080 2142 2176 2184 2210 2240 2304 2340 2380 2448 2496 2520 2652 2688 2720 2730 2789 2856 2880 2912 3060 3094 3120 3264 3276 3315 3328 3360 3536 3570 3640 3744 3808 3840 3978 4032 4080 4095 4160 4284 4352 4368 4420 4480 4641 4680 4760 4896 4992 5040 5304 5355 5376 5440 5460 5578 5712 5760 5824 6120 6188 6240 6528 6552 6630 6720 7072 7140 7280 7488 7616 7735 7956 8064 8160 8190 8320 8367 8568 8736 8840 8960 9282 9360 9520 9792 9945 9984 10080 10608 10710 10880 10920 11156 11424 11520 11648 12240 12376 12480 13056 13104 13260 13440 13923 13945 14144 14280 14560 14976 15232 15470 15912 16128 16320 16380 16640 16734 17136 17472 17680 18564 18720 19040 19523 19584 19890 20160 21216 21420 21760 21840 22312 22848 23205 23296 24480 24752 24960 25101 26208 26520 26880 27846 27890 28288 28560 29120 29952 30464 30940 31824 32640 32760 33468 34272 34944 35360 36257 37128 37440 38080 39046 39168 39780 40320 41835 42432 42840 43680 44624 45696 46410 47413 48960 49504 49920 50202 52416 53040 55692 55780 56576 57120 58240 58569 61880 63648 65280 65520 66936 68544 69615 69888 70720 72514 74256 74880 76160 78092 79560 80640 83670 84864 85680 87360 89248 91392 92820 94826 97615 97920 99008 100404 104832 106080 108771 111384 111560 114240 116480 117138 123760 125505 127296 131040 133872 137088 139230 141440 142239 145028 148512 149760 152320 156184 159120 167340 169728 171360 174720 175707 178496 181285 185640 189652 195230 195840 198016 200808 209664 212160 217542 222768 223120 228480 234276 237065 247520 251010 253799 254592 262080 267744 274176 278460 282880 284478 290056 292845 297024 312368 318240 326313 331891 334680 342720 349440 351414 356992 362570 371280 379304 390460 396032 401616 424320 426717 435084 445536 446240 456960 468552 474130 495040 502020 507598 509184 524160 535488 543855 556920 568956 580112 585690 594048 616369 624736 636480 652626 663782 669360 685440 702828 711195 713984 725140 742560 758608 761397 780920 803232 848640 853434 870168 878535 891072 892480 937104 948260 990080 995673 1004040 1015196 1048320 1070976 1087710 1113840 1137912 1160224 1171380 1188096 1232738 1249472 1268995 1272960 1305252 1327564 1338720 1370880 1405656 1422390 1450280 1485120 1517216 1522794 1561840 1606464 1631565 1659455 1706868 1740336 1757070 1782144 1784960 1849107 1874208 1896520 1980160 1991346 2008080 2030392 2133585 2141952 2175420 2227680 2275824 2284191 2320448 2342760 2465476 2498944 2537990 2545920 2610504 2655128 2677440 2811312 2844780 2900560 2970240 2987019 3034432 3045588 3081845 3123680 3212928 3263130 3318910 3413736 3480672 3514140 3564288 3569920 3698214 3748416 3793040 3806985 3982692 4016160 4060784 4267170 4314583 4350840 4455360 4551648 4568382 4640896 4685520 4930952 4978365 4997888 5075980 5221008 5310256 5354880 5547321 5622624 5689560 5801120 5940480 5974038 6068864 6091176 6163690 6247360 6425856 6526260 6637820 6827472 6961344 7028280 7396428 7496832 7586080 7613970 7778521 7965384 8032320 8121568 8534340 8629166 8701680 8910720 9103296 9136764 9245535 9281792 9371040 9861904 9956730 10151960 10442016 10620512 10709760 11094642 11245248 11379120 11420955 11602240 11948076 12137728 12182352 12327380 12494720 12943749 13052520 13275640 13654944 13922688 14056560 14792856 14935095 14993664 15172160 15227940 15557042 15930768 16064640 16243136 17068680 17258332 17403360 17821440 18206592 18273528 18491070 18742080 19723808 19913460 20303920 20884032 21241024 21572915 22189284 22490496 22758240 22841910 23204480 23335563 23896152 24364704 24654760 24989440 25887498 26105040 26551280 27309888 27736605 27845376 28113120 29585712 29870190 30344320 30455880 31114084 31861536 32129280 32486272 34137360 34516664 34806720 36413184 36547056 36982140 37484160 38831247 38892605 39447616 39826920 40607840 41768064 42482048 43145830 44378568 44980992 45516480 45683820 46408960 46671126 47792304 48729408 49309520 51774996 52210080 53102560 54449647 54619776 55473210 56226240 59171424 59740380 60688640 60911760 62228168 63723072 64718745 64972544 68274720 69033328 69613440 70006689 73094112 73964280 74968320 77662494 77785210 78895232 79653840 81215680 83536128 84964096 86291660 88757136 91032960 91367640 93342252 95584608 97458816 98619040 101120773 103549992 104420160 106205120 108899294 109239552 110946420 112452480 116677815 118342848 119480760 121823520 124456336 127446144 129437490 132234857 136549440 138066656 139226880 140013378 146188224 147928560 155324988 155570420 157790464 159307680 162431360 163348941 172583320 177514272 182065920 182735280 186684504 191169216 194156235 194917632 197238080 202241546 207099984 208840320 212410240 217798588 221892840 224904960 233355630 236685696 238961520 243647040 248912672 254892288 258874980 264469714 272248235 273098880 276133312 280026756 292376448 295857120 303362319 310649976 311140840 318615360 324862720 326697882 345166640 350033445 355028544 365470560 373369008 382338432 388312470 394476160 396704571 404483092 414199968 417680640 424820480 435597176 443785680 466711260 473371392 477923040 487294080 490046823 497825344 505603865 517749960 528939428 544496470 546197760 552266624 560053512 584752896 591714240 606724638 621299952 622281680 637230720 653395764 661174285 690333280 700066890 707845411 710057088 730941120 746738016 764676864 776624940 788952320 793409142 808966184 816744705 828399936 871194352 887571360 910086957 925643999 933422520 955846080 974588160 980093646 995650688 1011207730 1035499920 1057878856 1088992940 1104533248 1120107024 1183428480 1190113713 1213449276 1242599904 1244563360 1274461440 1306791528 1322348570 1380666560 1400133780 1415690822 1420114176 1461882240 1493476032 1516811595 1553249880 1586818284 1617932368 1633489410 1656799872 1719053141 1742388704 1775142720 1820173914 1851287998 1866845040 1911692160 1960187292 1983522855 1991301376 2022415460 2070999840 2115757712 2123536233 2177985880 2240214048 2366856960 2380227426 2426898552 2450234115 2485199808 2489126720 2613583056 2644697140 2761333120 2776931997 2800267560 2831381644 2923764480 2986952064 3033623190 3106499760 3173636568 3235864736 3266978820 3313599744 3438106282 3484777408 3539227055 3550285440 3640347828 3702575996 3733690080 3823384320 3920374584 3967045710 4044830920 4141999680 4231515424 4247072466 4355971760 4480428096 4550434785 4628219995 4760454852 4853797104 4900468230 4970399616 4978253440 5157159423 5227166112 5289394280 5522666240 5553863994 5600535120 5662763288 5950568565 5973904128 6067246380 6212999520 6347273136 6370608699 6471729472 6533957640 6876212564 6969554816 7078454110 7100570880 7280695656 7405151992 7467380160 7840749168 7934091420 8089661840 8283999360 8330795991 8463030848 8494144932 8595265705 8711943520 8960856192 9100869570 9256439990 9520909704 9707594208 9800936460 9940799232 9956506880 10314318846 10454332224 10578788560 10617681165 11107727988 11201070240 11325526576 11901137130 12033371987 12134492760 12425999040 12694546272 12741217398 12943458944 13067915280 13752425128 13884659985 13939109632 14156908220 14561391312 14810303984 14934760320 15471478269 15681498336 15868182840 16179323680 16567998720 16661591982 16926061696 16988289864 17190531410 17423887040 17921712384 18201739140 18512879980 19041819408 19415188416 19601872920 20628637692 20908664448 21157577120 21235362330 22215455976 22402140480 22651053152 23802274260 24066743974 24268985520 24851998080 25389092544 25482434796 25785797115 25886917888 26135830560 27504850256 27769319970 28313816440 29122782624 29620607968 29869520640 30942956538 31362996672 31736365680 31853043495 32358647360 33323183964 33852123392 33976579728 34381062820 34847774080 36100115961 36403478280 37025759960 38083638816 38830376832 39203745840 41257275384 41653979955 41817328896 42315154240 42470724660 44430911952 44804280960 45302106304 47604548520 48133487948 48537971040 49703996160 50778185088 50964869592 51571594230 52271661120 55009700512 55538639940 56627632880 58245565248 59241215936 60166859935 61885913076 62725993344 63472731360 63706086990 64717294720 66646367928 67953159456 68762125640 69695548160 72200231922 72806956560 74051519920 76167277632 77357391345 77660753664 78407491680 82514550768 83307959910 84630308480 84941449320 88861823904 89608561920 90604212608 95209097040 96266975896 97075942080 101556370176 101929739184 103143188460 104543322240 108300347883 110019401024 111077279880 113255265760 116491130496 118482431872 120333719870 123771826152 125451986688 126945462720 127412173980 129434589440 133292735856 135906318912 137524251280 144400463844 145613913120 148103039840 152334555264 154714782690 156814983360 165029101536 166615919820 169260616960 169882898640 177723647808 180500579805 181208425216 190418194080 192533951792 194151884160 203859478368 206286376920 209086644480 216600695766 220038802048 222154559760 226510531520 232982260992 236964863744 240667439740 247543652304 253890925440 254824347960 266585471712 271812637824 275048502560 288800927688 291227826240 296206079680 304669110528 309429565380 313629966720 330058203072 333231839640 339765797280 355447295616 361001159610 380836388160 385067903584 388303768320 407718956736 412572753840 433201391532 440077604096 444309119520 453021063040 481334879480 495087304608 507781850880 509648695920 533170943424 541501739415 543625275648 550097005120 577601855376 582455652480 592412159360 618859130760 627259933440 660116406144 666463679280 679531594560 710894591232 722002319220 761672776320 770135807168 815437913472 825145507680 866402783064 888618239040 906042126080 962669758960 990174609216 1019297391840 1066341886848 1083003478830 1100194010240 1155203710752 1164911304960 1184824318720 1237718261520 1320232812288 1332927358560 1359063189120 1444004638440 1523345552640 1540271614336 1630875826944 1650291015360 1732805566128 1777236478080 1925339517920 1980349218432 2038594783680 2132683773696 2166006957660 2200388020480 2310407421504 2475436523040 2665854717120 2718126378240 2888009276880 3080543228672 3300582030720 3465611132256 3554472956160 3850679035840 3960698436864 4077189567360 4332013915320 4620814843008 4950873046080 5331709434240 5776018553760 6601164061440 6931222264512 7701358071680 8154379134720 8664027830640 9241629686016 9901746092160 10663418868480 11552037107520 13862444529024 15402716143360 17328055661280 19803492184320 23104074215040 27724889058048 34656111322560 46208148430080 69312222645120 138624445290240
- Sum of all divisors σ(n): 625257347577408
- Sum of proper divisors (its aliquot sum) s(n): 486632902287168
- 138624445290240 is an abundant number, because the sum of its proper divisors (486632902287168) is greater than itself. Its abundance is 348008456996928
Bases of 138624445290240
- Binary: 111111000010100000001001101000110010111000000002
- Hexadecimal: 0x7E1404D19700
- Base-36: 1D4Z6VJR40
Squares and roots of 138624445290240
- 138624445290240 squared (1386244452902402) is 19216736832026742917839257600
- 138624445290240 cubed (1386244452902403) is 2663909483628231160270589548485698125824000
-
The
square root of 138624445290240 is 11773888.2825615429 -
The
cube root of 138624445290240 is 51754.3200407965
Scales and comparisons
How big is 138624445290240?- 138,624,445,290,240 seconds is equal to 4,407,828 years, 29 weeks, 3 days, 6 hours, 24 minutes.
-
To count from 1 to 138,624,445,290,240 would take you about eleven million, nineteen thousand, five hundred seventy-one 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 138624445290240 cubic inches would be around 4312.9 feet tall.
Recreational maths with 138624445290240
- 138624445290240 backwards is 042092544426831
- The number of decimal digits it has is: 15
- The sum of 138624445290240's digits is 54
- More coming soon!
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"Number 138624445290240 - Facts about the integer". Numbermatics.com. 2024. Web. 23 September 2024.
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Numbermatics. (2024). Number 138624445290240 - Facts about the integer. Retrieved 23 September 2024, from https://numbermatics.com/n/138624445290240/
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The information we have on file for 138624445290240 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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