134742434968713600
134,742,434,968,713,600 is an even composite number composed of five prime numbers multiplied together.
What does the number 134742434968713600 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1296 divisors.
134742434968713600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 134742434968713600:
27 × 35 × 52 × 72 × 594672
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 59467 × 59467)See below for interesting mathematical facts about the number 134742434968713600 from the Numbermatics database.
Names of 134742434968713600
- Cardinal: 134742434968713600 can be written as One hundred thirty-four quadrillion, seven hundred forty-two trillion, four hundred thirty-four billion, nine hundred sixty-eight million, seven hundred thirteen thousand, six hundred.
Scientific notation
- Scientific notation: 1.347424349687136 × 1017
Factors of 134742434968713600
Divisors of 134742434968713600
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 49 50 54 56 60 63 64 70 72 75 80 81 84 90 96 98 100 105 108 112 120 126 128 135 140 144 147 150 160 162 168 175 180 189 192 196 200 210 216 224 225 240 243 245 252 270 280 288 294 300 315 320 324 336 350 360 378 384 392 400 405 420 432 441 448 450 480 486 490 504 525 540 560 567 576 588 600 630 640 648 672 675 700 720 735 756 784 800 810 840 864 882 896 900 945 960 972 980 1008 1050 1080 1120 1134 1152 1176 1200 1215 1225 1260 1296 1323 1344 1350 1400 1440 1470 1512 1568 1575 1600 1620 1680 1701 1728 1764 1800 1890 1920 1944 1960 2016 2025 2100 2160 2205 2240 2268 2352 2400 2430 2450 2520 2592 2646 2688 2700 2800 2835 2880 2940 3024 3136 3150 3200 3240 3360 3402 3456 3528 3600 3675 3780 3888 3920 3969 4032 4050 4200 4320 4410 4480 4536 4704 4725 4800 4860 4900 5040 5184 5292 5400 5600 5670 5760 5880 6048 6075 6272 6300 6480 6615 6720 6804 7056 7200 7350 7560 7776 7840 7938 8064 8100 8400 8505 8640 8820 9072 9408 9450 9600 9720 9800 10080 10368 10584 10800 11025 11200 11340 11760 11907 12096 12150 12600 12960 13230 13440 13608 14112 14175 14400 14700 15120 15552 15680 15876 16200 16800 17010 17280 17640 18144 18816 18900 19440 19600 19845 20160 21168 21600 22050 22400 22680 23520 23814 24192 24300 25200 25920 26460 27216 28224 28350 28800 29400 30240 31104 31360 31752 32400 33075 33600 34020 35280 36288 37800 38880 39200 39690 40320 42336 42525 43200 44100 45360 47040 47628 48600 50400 51840 52920 54432 56448 56700 58800 59467 59535 60480 63504 64800 66150 67200 68040 70560 72576 75600 77760 78400 79380 84672 85050 86400 88200 90720 94080 95256 97200 99225 100800 105840 108864 113400 117600 118934 119070 120960 127008 129600 132300 136080 141120 151200 155520 156800 158760 169344 170100 176400 178401 181440 190512 194400 198450 201600 211680 217728 226800 235200 237868 238140 254016 259200 264600 272160 282240 297335 297675 302400 317520 340200 352800 356802 362880 381024 388800 396900 416269 423360 453600 470400 475736 476280 508032 529200 535203 544320 594670 595350 604800 635040 680400 705600 713604 762048 777600 793800 832538 846720 892005 907200 951472 952560 1058400 1070406 1088640 1189340 1190700 1248807 1270080 1360800 1411200 1427208 1486675 1524096 1587600 1605609 1665076 1784010 1814400 1902944 1905120 2081345 2116800 2140812 2378680 2381400 2497614 2540160 2676015 2721600 2854416 2913883 2973350 3175200 3211218 3330152 3568020 3746421 3805888 3810240 4162690 4233600 4281624 4460025 4757360 4762800 4816827 4995228 5352030 5443200 5708832 5827766 5946700 6244035 6350400 6422436 6660304 7136040 7492842 7611776 7620480 8028045 8325380 8563248 8741649 8920050 9514720 9525600 9633654 9990456 10406725 10704060 11239263 11417664 11655532 11893400 12488070 12700800 12844872 13320608 13380075 14272080 14450481 14569415 14985684 16056090 16650760 17126496 17483298 17840100 18732105 19029440 19051200 19267308 19980912 20813450 21408120 22478526 22835328 23311064 23786800 24084135 24976140 25689744 26224947 26641216 26760150 28544160 28900962 29138830 29971368 31220175 32112180 33301520 33717789 34252992 34966596 35680200 37464210 38058880 38102400 38534616 39961824 40140225 41626900 42816240 43708245 44957052 46622128 47573600 48168270 49952280 51379488 52449894 53282432 53520300 56196315 57088320 57801924 58277660 59942736 62440350 64224360 66603040 67435578 68505984 69933192 71360400 72252405 72847075 74928420 77069232 78674841 79923648 80280450 83253800 85632480 87416490 89914104 93244256 93660525 95147200 96336540 99904560 101153367 102758976 104899788 107040600 112392630 114176640 115603848 116555320 119885472 120420675 124880700 128448720 131124735 133206080 134871156 139866384 142720800 144504810 145694150 149856840 154138464 157349682 159847296 160560900 166507600 168588945 171264960 174832980 179828208 186488512 187321050 190294400 192673080 199809120 202306734 205517952 209799576 214081200 218541225 224785260 231207696 233110640 236024523 239770944 240841350 249761400 256897440 262249470 266412160 269742312 279732768 280981575 285441600 289009620 291388300 299713680 308276928 314699364 321121800 333015200 337177890 342529920 349665960 359656416 361262025 372977024 374642100 385346160 393374205 399618240 404613468 419599152 428162400 437082450 449570520 462415392 466221280 472049046 479541888 481682700 499522800 505766835 513794880 524498940 539484624 559465536 561963150 570883200 578019240 582776600 599427360 616553856 629398728 642243600 655623675 666030400 674355780 699331920 708073569 719312832 722524050 749284200 770692320 786748410 799236480 809226936 839198304 842944725 856324800 874164900 899141040 924830784 932442560 944098092 963365400 999045600 1011533670 1027589760 1048997880 1078969248 1118931072 1123926300 1156038480 1165553200 1180122615 1198854720 1258797456 1284487200 1311247350 1332060800 1348711560 1398663840 1416147138 1438625664 1445048100 1498568400 1541384640 1573496820 1618453872 1678396608 1685889450 1712649600 1748329800 1798282080 1849661568 1864885120 1888196184 1926730800 1966871025 1998091200 2023067340 2097995760 2157938496 2247852600 2312076960 2331106400 2360245230 2397709440 2517594912 2528834175 2568974400 2622494700 2697423120 2797327680 2832294276 2890096200 2997136800 3082769280 3146993640 3236907744 3356793216 3371778900 3496659600 3536324089 3540367845 3596564160 3776392368 3853461600 3933742050 3996182400 4046134680 4195991520 4315876992 4495705200 4624153920 4662212800 4720490460 5035189824 5057668350 5137948800 5244989400 5394846240 5594655360 5664588552 5780192400 5900613075 5994273600 6293987280 6473815488 6743557800 6993319200 7072648178 7080735690 7193128320 7552784736 7706923200 7867484100 8092269360 8391983040 8991410400 9248307840 9324425600 9440980920 10070379648 10115336700 10489978800 10608972267 10789692480 11329177104 11560384800 11801226150 11988547200 12587974560 12947630976 13487115600 13986638400 14145296356 14161471380 15105569472 15413846400 15734968200 16184538720 16783966080 17681620445 17701839225 17982820800 18881961840 20230673400 20979957600 21217944534 21579384960 22658354208 23120769600 23602452300 24754268623 25175949120 26974231200 27973276800 28290592712 28322942760 30211138944 31469936400 31826916801 32369077440 35363240890 35403678450 35965641600 37763923680 40461346800 41959915200 42435889068 45316708416 46241539200 47204904600 49508537246 50351898240 53044861335 53948462400 56581185424 56645885520 62939872800 63653833602 64738154880 70726481780 70807356900 74262805869 75527847360 80922693600 83919830400 84871778136 88408102225 90633416832 94409809200 95480750403 99017074492 106089722670 107896924800 113162370848 113291771040 123771343115 125879745600 127307667204 141452963560 141614713800 148525611738 151055694720 159134584005 161845387200 169743556272 173279880361 176816204450 188819618400 190961500806 198034148984 212179445340 222788417607 226324741696 226583542080 247542686230 251759491200 254615334408 265224306675 282905927120 283229427600 286442251209 297051223476 318269168010 323690774400 339487112544 346559760722 353632408900 371314029345 377639236800 381923001612 396068297968 424358890680 445576835214 452649483392 453167084160 477403752015 495085372460 509230668816 519839641083 530448613350 565811854240 566458855200 572884502418 594102446952 618856715575 636538336020 668365252821 678974225088 693119521444 707264817800 742628058690 755278473600 763846003224 792136595936 795672920025 848717781360 859326753627 866399401805 891153670428 954807504030 990170744920 1018461337632 1039679282166 1060897226700 1113942088035 1131623708480 1132917710400 1145769004836 1188204893904 1237713431150 1273076672040 1336730505642 1357948450176 1386239042888 1414529635600 1432211256045 1485256117380 1527692006448 1559518923249 1584273191872 1591345840050 1697435562720 1718653507254 1732798803610 1782307340856 1856570146725 1909615008060 1980341489840 2005095758463 2036922675264 2079358564332 2121794453400 2227884176070 2263247416960 2265835420800 2291538009672 2376409787808 2387018760075 2475426862300 2546153344080 2599198205415 2673461011284 2772478085776 2829059271200 2864422512090 2970512234760 3055384012896 3119037846498 3168546383744 3182691680100 3341826264105 3394871125440 3437307014508 3465597607220 3564614681712 3713140293450 3819230016120 3960682979680 4010191516926 4073845350528 4158717128664 4243588906800 4296633768135 4331997009025 4455768352140 4583076019344 4678556769747 4752819575616 4774037520150 4950853724600 5092306688160 5198396410830 5346922022568 5544956171552 5569710440175 5658118542400 5728845024180 5941024469520 6015287275389 6110768025792 6238075692996 6365383360200 6683652528210 6789742250880 6874614029016 6931195214440 7129229363424 7161056280225 7426280586900 7638460032240 7797594616245 7921365959360 8020383033852 8317434257328 8487177813600 8593267536270 8663994018050 8911536704280 9166152038688 9357113539494 9505639151232 9548075040300 9901707449200 10025478792315 10184613376320 10396792821660 10693844045136 11089912343104 11139420880350 11316237084800 11457690048360 11882048939040 12030574550778 12221536051584 12476151385992 12730766720400 12995991027075 13367305056420 13749228058032 13862390428880 14035670309241 14258458726848 14322112560450 14852561173800 15276920064480 15595189232490 15842731918720 16040766067704 16634868514656 16709131320525 16974355627200 17186535072540 17327988036100 17823073408560 18332304077376 18714227078988 19096150080600 19803414898400 20050957584630 20369226752640 20793585643320 21387688090272 21483168840675 22179824686208 22278841760700 22915380096720 23392783848735 23764097878080 24061149101556 24952302771984 25461533440800 25991982054150 26734610112840 27498456116064 27724780857760 28071340618482 28516917453696 28644225120900 29705122347600 30076436376945 30553840128960 31190378464980 32081532135408 33269737029312 33418262641050 33948711254400 34373070145080 34655976072200 35646146817120 36664608154752 37428454157976 38192300161200 38987973081225 39606829796800 40101915169260 41587171286640 42107010927723 42775376180544 42966337681350 44557683521400 45830760193440 46785567697470 47528195756160 48122298203112 49904605543968 50127393961575 50923066881600 51983964108300 53469220225680 54996912232128 55449561715520 56142681236964 57288450241800 59410244695200 60152872753890 61107680257920 62380756929960 64163064270816 66539474058624 66836525282100 68746140290160 69311952144400 70178351546205 71292293634240 74856908315952 76384600322400 77975946162450 79213659593600 80203830338520 83174342573280 84214021855446 85550752361088 85932675362700 89115367042800 91661520386880 93571135394940 96244596406224 99809211087936 100254787923150 101846133763200 103967928216600 106938440451360 109993824464256 110899123431040 112285362473928 114576900483600 116963919243675 118820489390400 120305745507780 124761513859920 128326128541632 133673050564200 137492280580320 138623904288800 140356703092410 142584587268480 149713816631904 150382181884725 152769200644800 155951892324900 160407660677040 166348685146560 168428043710892 171865350725400 178230734085600 183323040773760 187142270789880 192489192812448 199618422175872 200509575846300 207935856433200 210535054638615 213876880902720 224570724947856 229153800967200 233927838487350 237640978780800 240611491015560 249523027719840 256652257083264 267346101128400 274984561160640 277247808577600 280713406184820 299427633263808 300764363769450 305538401289600 311903784649800 320815321354080 332697370293120 336856087421784 343730701450800 350891757731025 356461468171200 374284541579760 384978385624896 401019151692600 415871712866400 421070109277230 427753761805440 449141449895712 458307601934400 467855676974700 481222982031120 499046055439680 534692202256800 549969122321280 554495617155200 561426812369640 598855266527616 601528727538900 623807569299600 641630642708160 673712174843568 687461402901600 701783515462050 712922936342400 748569083159520 769956771249792 802038303385200 831743425732800 842140218554460 898282899791424 916615203868800 935711353949400 962445964062240 998092110879360 1052675273193075 1069384404513600 1122853624739280 1203057455077800 1247615138599200 1283261285416320 1347424349687136 1374922805803200 1403567030924100 1497138166319040 1604076606770400 1663486851465600 1684280437108920 1796565799582848 1871422707898800 1924891928124480 2105350546386150 2138768809027200 2245707249478560 2406114910155600 2495230277198400 2694848699374272 2749845611606400 2807134061848200 2994276332638080 3208153213540800 3368560874217840 3742845415797600 3849783856248960 4210701092772300 4491414498957120 4812229820311200 4990460554396800 5389697398748544 5614268123696400 6416306427081600 6737121748435680 7485690831595200 8421402185544600 8982828997914240 9624459640622400 11228536247392800 13474243496871360 14971381663190400 16842804371089200 19248919281244800 22457072494785600 26948486993742720 33685608742178400 44914144989571200 67371217484356800 134742434968713600
- Sum of all divisors σ(n): 580012664151227580
- Sum of proper divisors (its aliquot sum) s(n): 445270229182513980
- 134742434968713600 is an abundant number, because the sum of its proper divisors (445270229182513980) is greater than itself. Its abundance is 310527794213800380
Bases of 134742434968713600
- Binary: 1110111101011001110000111110111000111101100111001100000002
- Hexadecimal: 0x1DEB387DC7B3980
- Base-36: 10UQ7G35SO00
Squares and roots of 134742434968713600
- 134742434968713600 squared (1347424349687136002) is 18155523781298013564210838824960000
- 134742434968713600 cubed (1347424349687136003) is 2446319482424480829073595105092323189786771456000000
-
The
square root of 134742434968713600 is 367072792.4658998749 -
The
cube root of 134742434968713600 is 512666.3318528789
Scales and comparisons
How big is 134742434968713600?- 134,742,434,968,713,600 seconds is equal to 4,284,392,646 years, 15 weeks.
-
To count from 1 to 134,742,434,968,713,600 would take you about twelve billion, eight hundred fifty-three million, one hundred seventy-seven thousand, nine hundred thirty-eight 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 134742434968713600 cubic inches would be around 42722.2 feet tall.
Recreational maths with 134742434968713600
- 134742434968713600 backwards is 006317869434247431
- 134742434968713600 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 134742434968713600's digits is 72
- More coming soon!
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"Number 134742434968713600 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 134742434968713600 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/134742434968713600/
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The information we have on file for 134742434968713600 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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