138274726332655932480
138,274,726,332,655,932,480 is an even composite number composed of seven prime numbers multiplied together.
138274726332655932480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 138274726332655932480:
26 × 33 × 5 × 71 × 179 × 199 × 6327972877
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 71 × 179 × 199 × 6327972877)See below for interesting mathematical facts about the number 138274726332655932480 from the Numbermatics database.
Names of 138274726332655932480
- Cardinal: 138274726332655932480 can be written as One hundred thirty-eight quintillion, two hundred seventy-four quadrillion, seven hundred twenty-six trillion, three hundred thirty-two billion, six hundred fifty-five million, nine hundred thirty-two thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3827472633265593248 × 1020
Factors of 138274726332655932480
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 6327973336
Divisors of 138274726332655932480
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 71 72 80 90 96 108 120 135 142 144 160 179 180 192 199 213 216 240 270 284 288 320 355 358 360 398 426 432 480 537 540 568 576 597 639 710 716 720 796 852 864 895 960 995 1065 1074 1080 1136 1194 1278 1420 1432 1440 1592 1611 1704 1728 1790 1791 1917 1990 2130 2148 2160 2272 2388 2556 2685 2840 2864 2880 2985 3184 3195 3222 3408 3580 3582 3834 3980 4260 4296 4320 4544 4776 4833 5112 5370 5373 5680 5728 5970 6368 6390 6444 6816 7160 7164 7668 7960 8055 8520 8592 8640 8955 9552 9585 9666 10224 10740 10746 11360 11456 11940 12709 12736 12780 12888 13632 14129 14320 14328 15336 15920 16110 17040 17184 17910 19104 19170 19332 20448 21480 21492 22720 23880 24165 25418 25560 25776 26865 28258 28640 28656 30672 31840 32220 34080 34368 35621 35820 38127 38208 38340 38664 40896 42387 42960 42984 47760 48330 50836 51120 51552 53730 56516 57280 57312 61344 63545 63680 64440 68160 70645 71242 71640 76254 76680 77328 84774 85920 85968 95520 96660 101672 102240 103104 106863 107460 113032 114381 114624 122688 127090 127161 128880 141290 142484 143280 152508 153360 154656 169548 171840 171936 178105 190635 191040 193320 203344 204480 211935 213726 214920 226064 228762 254180 254322 257760 282580 284968 286560 305016 306720 309312 320589 339096 343143 343872 356210 381270 381483 386640 406688 423870 427452 429840 452128 457524 508360 508644 515520 534315 565160 569936 571905 573120 610032 613440 635805 641178 678192 686286 712420 762540 762966 773280 813376 847740 854904 859680 904256 915048 961767 1016720 1017288 1068630 1130320 1139872 1143810 1220064 1271610 1282356 1356384 1372572 1424840 1525080 1525932 1546560 1602945 1695480 1709808 1715715 1719360 1830096 1907415 1923534 2033440 2034576 2137260 2260640 2279744 2287620 2440128 2529091 2543220 2564712 2712768 2745144 2849680 3050160 3051864 3205890 3390960 3419616 3431430 3660192 3814830 3847068 4066880 4069152 4274520 4521280 4575240 4808835 5058182 5086440 5129424 5490288 5699360 6100320 6103728 6411780 6781920 6839232 6862860 7320384 7587273 7629660 7694136 8138304 8549040 9150480 9617670 10116364 10172880 10258848 10980576 11398720 12200640 12207456 12645455 12823560 13563840 13725720 15174546 15259320 15388272 17098080 18300960 19235340 20232728 20345760 20517696 21961152 22761819 24414912 25290910 25647120 27451440 30349092 30518640 30776544 34196160 36601920 37936365 38470680 40465456 40691520 45523638 50581820 51294240 54902880 60698184 61037280 61553088 68285457 75872730 76941360 80930912 91047276 101163640 102588480 109805760 113809095 121396368 122074560 136570914 151745460 153882720 161861824 182094552 202327280 227618190 242792736 273141828 303490920 307765440 341427285 364189104 404654560 455236380 485585472 546283656 606981840 682854570 728378208 809309120 910472760 1092567312 1213963680 1365709140 1456756416 1820945520 2185134624 2427927360 2731418280 3641891040 4370269248 5462836560 6327972877 7283782080 10925673120 12655945754 18983918631 21851346240 25311891508 31639864385 37967837262 50623783016 56951755893 63279728770 75935674524 94919593155 101247566032 113903511786 126559457540 151871349048 170855267679 189839186310 202495132064 227807023572 253118915080 284758779465 303742698096 341710535358 379678372620 404990264128 449286074267 455614047144 506237830160 569517558930 607485396192 683421070716 759356745240 854276338395 898572148534 911228094288 1012475660320 1132707144983 1139035117860 1214970792384 1259266602523 1347858222801 1366842141432 1518713490480 1708552676790 1797144297068 1822456188576 2024951320640 2246430371335 2265414289966 2278070235720 2518533205046 2695716445602 2733684282864 3037426980960 3398121434949 3417105353580 3594288594136 3644912377152 3777799807569 4043574668403 4492860742670 4530828579932 4556140471440 5037066410092 5391432891204 5467368565728 5663535724915 6074853961920 6296333012615 6739291114005 6796242869898 6834210707160 7188577188272 7555599615138 8087149336806 8985721485340 9061657159864 9112280942880 10074132820184 10194364304847 10782865782408 10934737131456 11327071449830 11333399422707 12130724005209 12592666025230 13478582228010 13592485739796 13668421414320 14377154376544 15111199230276 16174298673612 16990607174745 17971442970680 18123314319728 18224561885760 18888999037845 20148265640368 20217873342015 20388728609694 21565731564816 22654142899660 22666798845414 24261448010418 25185332050460 26957164456020 27184971479592 27336842828640 28754308753088 30222398460552 30583092914541 32348597347224 33981214349490 34000198268121 35942885941360 36246628639456 37777998075690 40296531280736 40435746684030 40777457219388 43131463129632 45308285799320 45333597690828 48522896020836 50370664100920 50971821524235 53914328912040 54369942959184 54673685657280 56666997113535 60444796921104 60653620026045 61166185829082 64697194694448 67962428698980 68000396536242 71885771882720 72493257278912 75555996151380 80422207293793 80593062561472 80871493368060 81554914438776 86262926259264 89407928779133 90616571598640 90667195381656 97045792041672 100741328201840 101943643048470 107828657824080 108739885918368 113333994227070 120889593842208 121307240052090 122332371658164 129394389388896 135924857397960 136000793072484 143771543765440 151111992302760 152915464572705 160844414587586 161742986736120 163109828877552 170000991340605 178815857558266 181233143197280 181334390763312 194091584083344 201482656403680 203887286096940 215657315648160 217479771836736 225408721851617 226667988454140 241266621881379 241779187684416 242614480104180 244664743316328 258788778777792 268223786337399 271849714795920 272001586144968 302223984605520 305830929145410 321688829175172 323485973472240 326219657755104 340001982681210 357631715116532 362466286394560 362668781526624 388183168166688 402111036468965 402965312807360 407774572193880 431314631296320 447039643895665 450817443703234 453335976908280 482533243762758 485228960208360 489329486632656 536447572674798 543699429591840 544003172289936 604447969211040 611661858290820 643377658350344 646971946944480 652439315510208 676226165554851 680003965362420 715263430233064 723799865644137 725337563053248 776366336333376 804222072937930 804671359012197 815549144387760 894079287791330 901634887406468 906671953816560 965066487525516 970457920416720 978658973265312 1072895145349596 1087398859183680 1088006344579872 1127043609258085 1206333109406895 1208895938422080 1223323716581640 1286755316700688 1293943893888960 1341118931686995 1352452331109702 1360007930724840 1430526860466128 1447599731288274 1608444145875860 1609342718024394 1631098288775520 1788158575582660 1803269774812936 1813343907633120 1930132975051032 1940915840833440 1957317946530624 2028678496664553 2145790290699192 2171399596932411 2176012689159744 2254087218516170 2412666218813790 2414014077036591 2446647433163280 2573510633401376 2682237863373990 2704904662219404 2720015861449680 2861053720932256 2895199462576548 3216888291751720 3218685436048788 3262196577551040 3381130827774255 3576317151165320 3606539549625872 3618999328220685 3626687815266240 3860265950102064 3881831681666880 4023356795060985 4057356993329106 4291580581398384 4342799193864822 4508174437032340 4825332437627580 4828028154073182 4893294866326560 5147021266802752 5364475726747980 5409809324438808 5440031722899360 5722107441864512 5790398925153096 6086035489993659 6433776583503440 6437370872097576 6762261655548510 7152634302330640 7213079099251744 7237998656441370 7720531900204128 8046713590121970 8114713986658212 8583161162796768 8685598387729644 9016348874064680 9650664875255160 9656056308146364 9786589732653120 10143392483322765 10728951453495960 10819618648877616 10856997984662055 10880063445798720 11580797850306192 12070070385182955 12172070979987318 12867553167006880 12874741744195152 13524523311097020 14305268604661280 14426158198503488 14475997312882740 15441063800408256 16004019251464807 16093427180243940 16229427973316424 17166322325593536 17371196775459288 18032697748129360 19301329750510320 19312112616292728 20286784966645530 21457902906991920 21639237297755232 21713995969324110 23161595700612384 24140140770365910 24344141959974636 25735106334013760 25749483488390304 27049046622194040 28610537209322560 28951994625765480 30430177449968295 32008038502929614 32186854360487880 32458855946632848 34742393550918576 36065395496258720 38602659501020640 38624225232585456 40573569933291060 42915805813983840 43278474595510464 43427991938648220 46323191401224768 48012057754394421 48280281540731820 48688283919949272 51498966976780608 54098093244388080 57903989251530960 60860354899936590 64016077005859228 64373708720975760 64917711893265696 69484787101837152 72130790992517440 77205319002041280 77248450465170912 80020096257324035 81147139866582120 85831611627967680 86855983877296440 96024115508788842 96560563081463640 97376567839898544 108196186488776160 115807978503061920 121720709799873180 128032154011718456 128747417441951520 129835423786531392 138969574203674304 144036173263183263 154496900930341824 160040192514648070 162294279733164240 173711967754592880 192048231017577684 193121126162927280 194753135679797088 216392372977552320 231615957006123840 240060288771972105 243441419599746360 256064308023436912 257494834883903040 288072346526366526 320080385029296140 324588559466328480 347423935509185760 384096462035155368 386242252325854560 389506271359594176 432108519789549789 480120577543944210 486882839199492720 512128616046873824 576144693052733052 640160770058592280 649177118932656960 694847871018371520 720180866315916315 768192924070310736 772484504651709120 864217039579099578 960241155087888420 973765678398985440 1024257232093747648 1152289386105466104 1280321540117184560 1440361732631832630 1536385848140621472 1728434079158199156 1920482310175776840 1947531356797970880 2160542598947748945 2304578772210932208 2560643080234369120 2880723465263665260 3072771696281242944 3456868158316398312 3840964620351553680 4321085197895497890 4609157544421864416 5121286160468738240 5761446930527330520 6913736316632796624 7681929240703107360 8642170395790995780 9218315088843728832 11522893861054661040 13827472633265593248 15363858481406214720 17284340791581991560 23045787722109322080 27654945266531186496 34568681583163983120 46091575444218644160 69137363166327966240 138274726332655932480
- Sum of all divisors σ(n): 499936181729172480000
- Sum of proper divisors (its aliquot sum) s(n): 361661455396516547520
- 138274726332655932480 is an abundant number, because the sum of its proper divisors (361661455396516547520) is greater than itself. Its abundance is 223386729063860615040
Bases of 138274726332655932480
- Binary: 11101111110111100101000001011111101000110000100111100010100010000002
- Hexadecimal: 0x77EF282FD184F1440
- Base-36: T6JOBN6LN72O0
Squares and roots of 138274726332655932480
- 138274726332655932480 squared (1382747263326559324802) is 19119899942370891942552970374138318950400
- 138274726332655932480 cubed (1382747263326559324803) is 2643798932039099017985807040129370490569964557344966868992000
-
The
square root of 138274726332655932480 is 11759027439.9142352067 -
The
cube root of 138274726332655932480 is 5171076.1805670565
Scales and comparisons
How big is 138274726332655932480?- 138,274,726,332,655,932,480 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,274,726,332,655,932,480 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 138274726332655932480 cubic inches would be around 430923 feet tall.
Recreational maths with 138274726332655932480
- 138274726332655932480 backwards is 084239556233627472831
- 138274726332655932480 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138274726332655932480's digits is 90
- More coming soon!
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The information we have on file for 138274726332655932480 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 138274726332655932480, math, Factors of 138274726332655932480, curriculum, school, college, exams, university, Prime factorization of 138274726332655932480, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, two hundred seventy-four quadrillion, seven hundred twenty-six trillion, three hundred thirty-two billion, six hundred fifty-five million, nine hundred thirty-two thousand, four hundred eighty.