138916368541094672520
138,916,368,541,094,672,520 is an even composite number composed of six prime numbers multiplied together.
138916368541094672520 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138916368541094672520:
23 × 32 × 5 × 733 × 1813 × 4092
(2 × 2 × 2 × 3 × 3 × 5 × 73 × 73 × 73 × 181 × 181 × 181 × 409 × 409)See below for interesting mathematical facts about the number 138916368541094672520 from the Numbermatics database.
Names of 138916368541094672520
- Cardinal: 138916368541094672520 can be written as One hundred thirty-eight quintillion, nine hundred sixteen quadrillion, three hundred sixty-eight trillion, five hundred forty-one billion, ninety-four million, six hundred seventy-two thousand, five hundred twenty.
Scientific notation
- Scientific notation: 1.3891636854109467252 × 1020
Factors of 138916368541094672520
Divisors of 138916368541094672520
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 73 90 120 146 180 181 219 292 360 362 365 409 438 543 584 657 724 730 818 876 905 1086 1095 1227 1314 1448 1460 1629 1636 1752 1810 2045 2172 2190 2454 2628 2715 2920 3258 3272 3285 3620 3681 4090 4344 4380 4908 5256 5329 5430 6135 6516 6570 7240 7362 8145 8180 8760 9816 10658 10860 12270 13032 13140 13213 14724 15987 16290 16360 18405 21316 21720 24540 26280 26426 26645 29448 29857 31974 32580 32761 36810 39639 42632 47961 49080 52852 53290 59714 63948 65160 65522 66065 73620 74029 79278 79935 89571 95922 98283 105704 106580 118917 119428 127896 131044 132130 147240 148058 149285 158556 159870 163805 167281 179142 191844 196566 198195 213160 222087 237834 238856 239805 262088 264260 268713 294849 296116 298570 317112 319740 327610 334562 358284 370145 383688 389017 393132 396390 444174 447855 475668 479610 491415 501843 528520 537426 589698 592232 594585 597140 639480 655220 666261 669124 716568 740290 778034 786264 792780 836405 888348 895710 951336 959220 964549 982830 1003686 1074852 1110435 1167051 1179396 1189170 1194280 1310440 1332522 1338248 1343565 1474245 1480580 1505529 1556068 1585560 1672810 1776696 1791420 1918440 1929098 1945085 1965660 2007372 2149704 2179561 2220870 2334102 2358792 2378340 2391553 2509215 2665044 2687130 2893647 2948490 2961160 3011058 3112136 3331305 3345620 3501153 3582840 3858196 3890170 3931320 4014744 4359122 4441740 4668204 4756680 4783106 4822745 5018430 5330088 5374260 5404117 5787294 5835255 5896980 5929741 6022116 6538683 6662610 6691240 7002306 7174659 7527645 7716392 7780340 8680941 8718244 8883480 9336408 9566212 9645490 10036860 10748520 10808234 10897805 11574588 11670510 11793960 11859482 11957765 12044232 12211513 13077366 13325220 13399249 14004612 14349318 14468235 15055290 15560680 16212351 17361882 17436488 17505765 17789223 19132424 19290980 19616049 20073720 21523977 21616468 21795610 23149176 23341020 23718964 23915530 24423026 26154732 26650440 26798498 27020585 28009224 28698636 28936470 29648705 30110580 30277861 32424702 32693415 34723764 35011530 35578446 35873295 36634539 38581960 39232098 40197747 43047954 43232936 43404705 43591220 46682040 47437928 47831060 48637053 48846052 52309464 53367669 53596996 54041170 57397272 57872940 59297410 60221160 60555722 61057565 64849404 65386830 66996245 69447528 70023060 70412077 71156892 71746590 73269078 78464196 80395494 81061755 86095908 86809410 87182440 88946115 90833583 95662120 97274106 97692104 98080245 106735338 107193992 107619885 108082340 109903617 115745880 118594820 120593241 121111444 122115130 129698808 130773660 133992490 140046120 140824154 142313784 143493180 146538156 151389305 156928392 159107953 160790988 162123510 172191816 173618820 174583369 177892230 181667166 183172695 194548212 196160490 200988735 211236231 213470676 215239770 216164680 219807234 237189640 241186482 242222888 243185265 244230260 261547320 266838345 267984980 272500749 281648308 286986360 293076312 302778610 318215906 321581976 324247020 347237640 349166738 352060385 355784460 363334332 366345390 389096424 392320980 394500541 401977470 422472462 426941352 430479540 432871093 439614468 454167915 477323859 482372964 486370530 488460520 523750107 533676690 535969960 545001498 549518085 563296616 602966205 605557220 633708693 636431812 648494040 698333476 704120770 711568920 726668664 732690780 784641960 789001082 795539765 803954940 844944924 860959080 865742186 872916845 879228936 891440449 908335830 954647718 964745928 972741060 978145177 1047500214 1056181155 1067353380 1090002996 1099036170 1183501623 1205932410 1211114440 1267417386 1272863624 1298613279 1362503745 1396666952 1408241540 1431971577 1465381560 1571250321 1578002164 1591079530 1607909880 1689889848 1731484372 1745833690 1782880898 1816671660 1909295436 1945482120 1956290354 1972502705 2095000428 2112362310 2134706760 2164355465 2180005992 2198072340 2210283853 2367003246 2386619295 2411864820 2425264069 2534834772 2597226558 2618750535 2674321347 2725007490 2816483080 2863943154 2934435531 3142500642 3156004328 3168543465 3182159060 3462968744 3491667380 3550504869 3565761796 3633343320 3818590872 3895839837 3912580708 3945005410 4190000856 4224724620 4328710930 4396144680 4420567706 4457202245 4734006492 4773238590 4823729640 4850528138 4890725885 5069669544 5194453116 5237501070 5348642694 5450014980 5480292841 5727886308 5868871062 5917508115 6285001284 6337086930 6364318120 6493066395 6630851559 6983334760 7101009738 7131523592 7159857885 7275792207 7791679674 7825161416 7856251605 7890010820 8022964041 8449449240 8657421860 8803306593 8841135412 8914404490 9468012984 9546477180 9701056276 9781451770 10388906232 10475002140 10697285388 10900029960 10960585682 11051419265 11455772616 11737742124 11835016230 12126320345 12570002568 12674173860 12744585937 12986132790 13261703118 13371606735 14202019476 14319715770 14551584414 14672177655 15583359348 15712503210 15780021640 16045928082 16440878523 17314843720 17606613186 17682270824 17752524345 17828808980 19092954360 19402112552 19479199185 19562903540 19892554677 20950004280 21394570776 21827376621 21921171364 22102838530 23475484248 23670032460 24252640690 25348347720 25489171874 25972265580 26523406236 26743213470 27401464205 28404038952 28639431540 28798539493 29103168828 29344355310 31166718696 31425006420 31599589789 32091856164 32881757046 33154257795 35213226372 35505048690 35657617960 36378961035 38233757811 38958398370 39125807080 39785109354 40114820205 43654753242 43842342728 44016532965 44205677060 47340064920 48505281380 49322635569 50978343748 51944531160 53046812472 53486426940 54802928410 57278863080 57597078986 58206337656 58688710620 62850012840 63199179578 63722929685 64183712328 65075152777 65763514092 66308515590 70426452744 71010097380 71404597921 72757922070 76467515622 77916796740 79570218708 80229640410 82204392615 86395618479 87309506484 88033065930 88411354120 94798769367 97010562760 98645271138 99462773385 101956687496 106972853880 109136883105 109605856820 114701273433 115194157972 117377421240 126398359156 127445859370 130150305554 131527028184 132617031180 142020194760 142809195842 143992697465 145515844140 152935031244 155833593480 157997948945 159140437416 160459280820 161350721269 164408785230 172791236958 174619012968 176066131860 177044277037 189597538734 191168789055 195225458331 197290542276 198925546770 214213793763 218273766210 219211713640 229402546866 230388315944 246613177845 252796718312 254891718740 259186855437 260300611108 265234062360 284396308101 285618391684 287985394930 291031688280 305870062488 315995897890 320918561640 322701442538 325375763885 328817570460 345582473916 352132263720 354088554074 357022989605 379195077468 382337578110 390450916662 394581084552 397851093540 400061377393 428427587526 431978092395 436547532420 458805093732 473993846835 484052163807 493226355690 509783437480 518373710874 520601222216 531132831111 568792616202 571236783368 573506367165 575970789860 585676374993 631991795780 642641381289 645402885076 650751527770 657635140920 691164947832 708177108148 714045979210 758390154936 764675156220 780901833324 795702187080 800122754786 806753606345 856855175052 863956184790 873095064840 885221385185 917610187464 947987693670 968104327614 976127291655 986452711380 991933004221 1036747421748 1062265662222 1071068968815 1137585232404 1147012734330 1151941579720 1171352749986 1200184132179 1263983591560 1285282762578 1290805770152 1295934277185 1301503055540 1416354216296 1421981540505 1428091958420 1452156491421 1529350312440 1561803666648 1593398493333 1600245509572 1613507212690 1713710350104 1727912369580 1770442770370 1895975387340 1936208655228 1952254583310 1972905422760 1983866008442 2000306886965 2073494843496 2124531324444 2142137937630 2275170464808 2294025468660 2306770054597 2342705499972 2400368264358 2420260819035 2570565525156 2591868554370 2603006111080 2655664155555 2843963081010 2856183916840 2904312982842 2928381874965 2975799012663 3186796986666 3200491019144 3213206906445 3227014425380 3455824739160 3540885540740 3600552396537 3791950774680 3872417310456 3904509166620 3967732016884 4000613773930 4249062648888 4284275875260 4588050937320 4613540109194 4685410999944 4800736528716 4840521638070 4959665021105 5141131050312 5183737108740 5212535648233 5311328311110 5687926162020 5808625965684 5856763749930 5951598025326 6000920660895 6373593973332 6426413812890 6454028850760 6920310163791 7081771081480 7201104793074 7260782457105 7809018333240 7935464033768 7966992466665 8001227547860 8568551750520 8927397037989 9227080218388 9601473057432 9681043276140 9919330042210 10367474217480 10425071296466 10622656622220 11375852324040 11533850272985 11617251931368 11713527499860 11778602652637 11903196050652 12001841321790 12747187946664 12852827625780 12924232223701 13840620327582 14402209586148 14521564914210 14878995063315 15637606944699 15933984933330 16002455095720 17854794075978 18002761982685 18454160436776 19362086552280 19838660084420 20760930491373 20850142592932 21245313244440 23067700545970 23427054999720 23557205305274 23806392101304 24003682643580 25705655251560 25848464447402 26062678241165 27681240655164 28804419172296 29043129828420 29204480549689 29757990126630 31275213889398 31867969866660 34601550818955 35335807957911 35709588151956 36005523965370 38772696671103 39677320168840 41521860982746 41700285185864 44636985189945 46135401091940 46912820834097 47114410610548 48007365287160 51696928894804 52125356482330 55362481310328 58086259656840 58408961099378 58893013263185 59515980253260 62550427778796 63735939733320 64621161118505 69203101637910 70671615915822 71419176303912 72011047930740 72411109308133 77545393342206 78188034723495 83043721965492 87613441649067 89273970379890 92270802183880 93825641668194 94228821221096 103393857789608 103804652456865 104250712964660 106007423873733 116318090013309 116817922198756 117786026526370 119031960506520 125100855557592 129242322237010 138406203275820 141343231831644 144022095861480 144822218616266 146022402748445 155090786684412 156376069446990 166087443930984 175226883298134 176679039789555 178547940759780 187651283336388 193863483355515 207609304913730 208501425929320 212014847747466 217233327924399 232636180026618 233635844397512 234564104170485 235572053052740 258484644474020 262840324947201 276812406551640 282686463663288 289644437232532 292044805496890 310181573368824 312752138893980 350453766596268 353358079579110 357095881519560 362055546540665 375302566672776 387726966711030 415218609827460 424029695494932 434466655848798 438067208245335 465272360053236 469128208340970 471144106105480 516969288948040 525680649894402 530037119368665 579288874465064 581590450066545 584089610993780 625504277787960 651699983773197 700907533192536 706716159158220 724111093081330 775453933422060 830437219654920 848059390989864 868933311697596 876134416490670 930544720106472 938256416681940 943468952330173 1051361299788804 1060074238737330 1086166639621995 1163180900133090 1168179221987560 1303399967546394 1314201624736005 1413432318316440 1448222186162660 1550907866844120 1737866623395192 1752268832981340 1876512833363880 1886937904660346 2102722599577608 2120148477474660 2131927080127297 2172333279243990 2326361800266180 2606799935092788 2628403249472010 2830406856990519 2896444372325320 3258499918865985 3504537665962680 3773875809320692 4240296954949320 4263854160254594 4344666558487980 4652723600532360 4717344761650865 5213599870185576 5256806498944020 5286010979493709 5660813713981038 6395781240381891 6516999837731970 7547751618641384 8491220570971557 8527708320509188 8689333116975960 9434689523301730 10513612997888040 10572021958987418 10659635400636485 11321627427962076 12791562480763782 13033999675463940 14152034284952595 15858032938481127 16982441141943114 17055416641018376 18869379046603460 19187343721145673 21144043917974836 21319270801272970 22643254855924152 25583124961527564 26067999350927880 26430054897468545 28304068569905190 31716065876962254 31978906201909455 33964882283886228 37738758093206920 38374687442291346 42288087835949672 42456102854857785 42638541602545940 47574098815443381 51166249923055128 52860109794937090 56608137139810380 63432131753924508 63957812403818910 67929764567772456 76749374884582692 79290164692405635 84912205709715570 85277083205091880 95148197630886762 95936718605728365 105720219589874180 113216274279620760 126864263507849016 127915624807637820 153498749769165384 158580329384811270 169824411419431140 190296395261773524 191873437211456730 211440439179748360 237870494077216905 255831249615275640 317160658769622540 339648822838862280 380592790523547048 383746874422913460 385878801503040757 475740988154433810 634321317539245080 767493748845826920 771757603006081514 951481976308867620 1157636404509122271 1543515206012163028 1902963952617735240 1929394007515203785 2315272809018244542 3087030412024326056 3472909213527366813 3858788015030407570 4630545618036489084 5788182022545611355 6945818427054733626 7717576030060815140 9261091236072978168 11576364045091222710 13891636854109467252 15435152060121630280 17364546067636834065 23152728090182445420 27783273708218934504 34729092135273668130 46305456180364890840 69458184270547336260 138916368541094672520
- Sum of all divisors σ(n): 461419919470746381600
- Sum of proper divisors (its aliquot sum) s(n): 322503550929651709080
- 138916368541094672520 is an abundant number, because the sum of its proper divisors (322503550929651709080) is greater than itself. Its abundance is 183587182388557036560
Bases of 138916368541094672520
- Binary: 11110000111110110100001010100101101011110110011001001111000100010002
- Hexadecimal: 0x787DA152D7B327888
- Base-36: TBF66TNV0QKY0
Squares and roots of 138916368541094672520
- 138916368541094672520 squared (1389163685410946725202) is 19297757448645237594039059349526043150400
- 138916368541094672520 cubed (1389163685410946725203) is 2680774385752656674106050128576757958685484282877077107008000
-
The
square root of 138916368541094672520 is 11786278825.0191447997 -
The
cube root of 138916368541094672520 is 5179062.3634081141
Scales and comparisons
How big is 138916368541094672520?- 138,916,368,541,094,672,520 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,916,368,541,094,672,520 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 138916368541094672520 cubic inches would be around 431588.5 feet tall.
Recreational maths with 138916368541094672520
- 138916368541094672520 backwards is 025276490145863619831
- 138916368541094672520 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138916368541094672520's digits is 90
- More coming soon!
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"Number 138916368541094672520 - Facts about the integer". Numbermatics.com. 2024. Web. 10 June 2024.
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The information we have on file for 138916368541094672520 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 138916368541094672520, math, Factors of 138916368541094672520, curriculum, school, college, exams, university, Prime factorization of 138916368541094672520, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, nine hundred sixteen quadrillion, three hundred sixty-eight trillion, five hundred forty-one billion, ninety-four million, six hundred seventy-two thousand, five hundred twenty.