135742887983104000
135,742,887,983,104,000 is an even composite number composed of four prime numbers multiplied together.
What does the number 135742887983104000 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1080 divisors.
135742887983104000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 135742887983104000:
214 × 53 × 172 × 475
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 17 × 17 × 47 × 47 × 47 × 47 × 47)See below for interesting mathematical facts about the number 135742887983104000 from the Numbermatics database.
Names of 135742887983104000
- Cardinal: 135742887983104000 can be written as One hundred thirty-five quadrillion, seven hundred forty-two trillion, eight hundred eighty-seven billion, nine hundred eighty-three million, one hundred four thousand.
Scientific notation
- Scientific notation: 1.35742887983104 × 1017
Factors of 135742887983104000
Divisors of 135742887983104000
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 32 34 40 47 50 64 68 80 85 94 100 125 128 136 160 170 188 200 235 250 256 272 289 320 340 376 400 425 470 500 512 544 578 640 680 752 799 800 850 940 1000 1024 1088 1156 1175 1280 1360 1445 1504 1598 1600 1700 1880 2000 2048 2125 2176 2209 2312 2350 2560 2720 2890 3008 3196 3200 3400 3760 3995 4000 4096 4250 4352 4418 4624 4700 5120 5440 5780 5875 6016 6392 6400 6800 7225 7520 7990 8000 8192 8500 8704 8836 9248 9400 10240 10880 11045 11560 11750 12032 12784 12800 13583 13600 14450 15040 15980 16000 16384 17000 17408 17672 18496 18800 19975 20480 21760 22090 23120 23500 24064 25568 25600 27166 27200 28900 30080 31960 32000 34000 34816 35344 36125 36992 37553 37600 39950 40960 43520 44180 46240 47000 48128 51136 51200 54332 54400 55225 57800 60160 63920 64000 67915 68000 69632 70688 72250 73984 75106 75200 79900 81920 87040 88360 92480 94000 96256 99875 102272 102400 103823 108664 108800 110450 115600 120320 127840 128000 135830 136000 139264 141376 144500 147968 150212 150400 159800 174080 176720 184960 187765 188000 192512 199750 204544 204800 207646 217328 217600 220900 231200 240640 255680 256000 271660 272000 276125 278528 282752 289000 295936 300424 300800 319600 339575 348160 353440 369920 375530 376000 385024 399500 409088 409600 415292 434656 435200 441800 462400 481280 511360 512000 519115 543320 544000 552250 565504 578000 591872 600848 601600 638401 639200 679150 696320 706880 739840 751060 752000 770048 799000 818176 830584 869312 870400 883600 924800 938825 962560 1022720 1024000 1038230 1086640 1088000 1104500 1131008 1156000 1183744 1201696 1203200 1276802 1278400 1358300 1392640 1413760 1479680 1502120 1504000 1598000 1636352 1661168 1697875 1738624 1740800 1764991 1767200 1849600 1877650 1925120 2045440 2048000 2076460 2173280 2176000 2209000 2262016 2312000 2367488 2403392 2406400 2553604 2556800 2595575 2716600 2827520 2959360 3004240 3008000 3192005 3196000 3272704 3322336 3395750 3477248 3481600 3529982 3534400 3699200 3755300 3850240 4090880 4152920 4346560 4352000 4418000 4524032 4624000 4694125 4734976 4806784 4812800 4879681 5107208 5113600 5191150 5433200 5655040 5918720 6008480 6016000 6384010 6392000 6545408 6644672 6791500 6954496 6963200 7059964 7068800 7398400 7510600 8181760 8305840 8693120 8704000 8824955 8836000 9048064 9248000 9388250 9613568 9625600 9759362 10214416 10227200 10382300 10866400 11310080 11837440 12016960 12032000 12768020 12784000 12977875 13090816 13289344 13583000 13908992 14119928 14137600 14796800 15021200 15960025 16363520 16611680 17386240 17408000 17649910 17672000 18096128 18496000 18776500 19227136 19251200 19518724 20428832 20454400 20764600 21732800 22620160 23674880 24033920 24064000 24398405 25536040 25568000 25955750 26578688 27166000 27817984 28239856 28275200 29593600 30004847 30042400 31920050 32727040 33223360 34772480 34816000 35299820 35344000 36192256 36992000 37553000 38454272 39037448 40857664 40908800 41529200 43465600 44124775 45240320 48067840 48128000 48796810 51072080 51136000 51911500 53157376 54332000 55635968 56479712 56550400 59187200 60009694 60084800 63840100 65454080 66446720 69544960 70599640 70688000 73984000 75106000 76908544 78074896 79800125 81715328 81817600 82954577 83058400 86931200 88249550 90480640 96135680 96256000 97593620 102144160 102272000 103823000 106314752 108664000 111271936 112959424 113100800 118374400 120019388 120169600 121992025 127680200 132893440 139089920 141199280 141376000 147968000 150024235 150212000 153817088 156149792 159600250 163430656 163635200 165909154 166116800 173862400 176499100 180961280 192271360 195187240 204288320 204544000 207646000 212629504 217328000 220623875 222543872 225918848 226201600 229345007 240038776 240339200 243984050 255360400 265786880 278179840 282398560 282752000 295936000 300048470 300424000 307634176 312299584 319200500 326861312 327270400 331818308 332233600 347724800 352998200 384542720 390374480 408576640 409088000 414772885 415292000 425259008 434656000 441247750 451837696 452403200 458690014 480077552 480678400 487968100 510720800 531573760 556359680 564797120 565504000 591872000 600096940 600848000 609960125 615268352 624599168 638401000 653722624 663636616 664467200 695449600 705996400 750121175 769085440 780748960 817153280 818176000 829545770 830584000 850518016 869312000 882495500 903675392 904806400 917380028 960155104 961356800 975936200 1021441600 1063147520 1112719360 1129594240 1131008000 1146725035 1200193880 1201696000 1219920250 1249198336 1276802000 1307445248 1327273232 1328934400 1390899200 1410227809 1411992800 1500242350 1538170880 1561497920 1634306560 1636352000 1659091540 1661168000 1701036032 1738624000 1764991000 1807350784 1834760056 1920310208 1922713600 1951872400 2042883200 2073864425 2126295040 2259188480 2262016000 2293450070 2400387760 2403392000 2439840500 2498396672 2553604000 2614890496 2654546464 2657868800 2781798400 2820455618 2823985600 3000484700 3076341760 3122995840 3268613120 3318183080 3322336000 3477248000 3529982000 3614701568 3669520112 3750605875 3840620416 3845427200 3898865119 3903744800 4085766400 4147728850 4252590080 4518376960 4524032000 4586900140 4800775520 4806784000 4879681000 4996793344 5107208000 5229780992 5309092928 5315737600 5563596800 5640911236 5647971200 5733625175 6000969400 6245991680 6537226240 6636366160 6644672000 6954496000 7051139045 7059964000 7229403136 7339040224 7501211750 7681240832 7690854400 7797730238 7807489600 8171532800 8295457700 8505180160 9036753920 9173800280 9601551040 9613568000 9759362000 9993586688 10214416000 10369322125 10459561984 10618185856 10631475200 11281822472 11295942400 11467250350 12001938800 12491983360 13074452480 13272732320 13289344000 13908992000 14102278090 14119928000 14458806272 14678080448 15002423500 15362481664 15381708800 15595460476 15614979200 16343065600 16590915400 18073507840 18347600560 19203102080 19227136000 19494325595 19518724000 19987173376 20428832000 20738644250 21236371712 21262950400 22563644944 22591884800 22934500700 24003877600 24983966720 26148904960 26545464640 26578688000 27817984000 28204556180 28239856000 28668125875 28917612544 29356160896 30004847000 30724963328 31190920952 31229958400 32686131200 33181830800 35255695225 36147015680 36695201120 38406204160 38454272000 38988651190 39037448000 39974346752 40857664000 41477288500 42472743424 42525900800 45127289888 45183769600 45869001400 48007755200 49967933440 52297809920 53090929280 53157376000 56409112360 56479712000 57336251750 58712321792 60009694000 61449926656 62381841904 62459916800 65372262400 66280707023 66363661600 70511390450 72294031360 73390402240 76812408320 76908544000 77977302380 78074896000 79948693504 81715328000 82954577000 84945486848 90254579776 90367539200 91738002800 96015510400 97471627975 99935866880 106181858560 106314752000 112818224720 112959424000 114672503500 117424643584 120019388000 122899853312 124763683808 124919833600 130744524800 132561414046 132727323200 141022780900 144588062720 146780804480 153624816640 155954604760 156149792000 163430656000 165909154000 169890973696 176278476125 180509159552 180735078400 183476005600 192031020800 194943255950 199871733760 212363717120 212629504000 225636449440 225918848000 229345007000 234849287168 240038776000 245799706624 249527367616 249839667200 261489049600 265122828092 265454646400 282045561800 293561608960 307249633280 311909209520 312299584000 326861312000 331403535115 331818308000 339781947392 352556952250 361018319104 361470156800 366952011200 384062041600 389886511900 399743467520 424727434240 451272898880 451837696000 458690014000 469698574336 480077552000 487358139875 491599413248 499054735232 499679334400 530245656184 530909292800 564091123600 587123217920 614499266560 623818419040 624599168000 653722624000 662807070230 663636616000 679563894784 705113904500 722036638208 722940313600 733904022400 768124083200 779773023800 849454868480 902545797760 903675392000 917380028000 939397148672 960155104000 974716279750 998109470464 999358668800 1060491312368 1061818585600 1128182247200 1174246435840 1228998533120 1247636838080 1249198336000 1307445248000 1325614140460 1327273232000 1359127789568 1410227809000 1444073276416 1467808044800 1536248166400 1559546047600 1657017675575 1698909736960 1805091595520 1807350784000 1834760056000 1878794297344 1920310208000 1949432559500 1996218940928 1998717337600 2120982624736 2123637171200 2256364494400 2348492871680 2457997066240 2495273676160 2498396672000 2651228280920 2654546464000 2820455618000 2888146552832 2935616089600 3072496332800 3119092095200 3314035351150 3397819473920 3610183191040 3614701568000 3669520112000 3757588594688 3840620416000 3898865119000 3992437881856 4241965249472 4247274342400 4512728988800 4696985743360 4990547352320 4996793344000 5302456561840 5309092928000 5640911236000 5776293105664 5871232179200 6144992665600 6238184190400 6628070702300 6795638947840 7220366382080 7339040224000 7681240832000 7797730238000 7984875763712 8285088377875 8483930498944 8494548684800 9025457977600 9393971486720 9981094704640 9993586688000 10604913123680 10618185856000 11281822472000 11552586211328 11742464358400 12289985331200 12476368380800 13256141404600 14440732764160 14678080448000 15362481664000 15595460476000 15969751527424 16570176755750 16967860997888 16989097369600 18050915955200 18787942973440 19962189409280 21209826247360 21236371712000 22563644944000 23105172422656 23484928716800 24952736761600 26512282809200 28881465528320 29356160896000 30724963328000 31190920952000 31939503054848 33140353511500 33935721995776 33978194739200 36101831910400 39924378818560 42419652494720 42472743424000 45127289888000 46969857433600 49905473523200 53024565618400 57762931056640 58712321792000 61449926656000 62381841904000 63879006109696 66280707023000 67871443991552 72203663820800 79848757637120 84839304989440 84945486848000 90254579776000 93939714867200 99810947046400 106049131236800 115525862113280 117424643584000 124763683808000 132561414046000 135742887983104 144407327641600 159697515274240 169678609978880 169890973696000 180509159552000 199621894092800 212098262473600 234849287168000 249527367616000 265122828092000 271485775966208 288814655283200 319395030548480 339357219957760 361018319104000 399243788185600 424196524947200 469698574336000 499054735232000 530245656184000 542971551932416 577629310566400 678714439915520 722036638208000 798487576371200 848393049894400 998109470464000 1060491312368000 1085943103864832 1357428879831040 1444073276416000 1596975152742400 1696786099788800 1996218940928000 2120982624736000 2714857759662080 2888146552832000 3393572199577600 3992437881856000 4241965249472000 5429715519324160 6787144399155200 7984875763712000 8483930498944000 13574288798310400 16967860997888000 27148577596620800 33935721995776000 67871443991552000 135742887983104000
- Sum of all divisors σ(n): 367729923044981952
- Sum of proper divisors (its aliquot sum) s(n): 231987035061877952
- 135742887983104000 is an abundant number, because the sum of its proper divisors (231987035061877952) is greater than itself. Its abundance is 96244147078773952
Bases of 135742887983104000
- Binary: 1111000100100000101101111111110110000010011000000000000002
- Hexadecimal: 0x1E2416FFB04C000
- Base-36: 114KU5UVMSCG
Squares and roots of 135742887983104000
- 135742887983104000 squared (1357428879831040002) is 18426131637993520328989474816000000
- 135742887983104000 cubed (1357428879831040003) is 2501216322898083054588202913648502441508864000000000
-
The
square root of 135742887983104000 is 368433016.9557337597 -
The
cube root of 135742887983104000 is 513932.0414413263
Scales and comparisons
How big is 135742887983104000?- 135,742,887,983,104,000 seconds is equal to 4,316,203,957 years, 28 weeks, 1 day, 4 hours, 26 minutes, 40 seconds.
-
To count from 1 to 135,742,887,983,104,000 would take you about twelve billion, nine hundred forty-eight million, six hundred eleven thousand, eight hundred seventy-two 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 135742887983104000 cubic inches would be around 42827.7 feet tall.
Recreational maths with 135742887983104000
- 135742887983104000 backwards is 000401389788247531
- The number of decimal digits it has is: 18
- The sum of 135742887983104000's digits is 70
- More coming soon!
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The information we have on file for 135742887983104000 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 135742887983104000, math, Factors of 135742887983104000, curriculum, school, college, exams, university, Prime factorization of 135742887983104000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five quadrillion, seven hundred forty-two trillion, eight hundred eighty-seven billion, nine hundred eighty-three million, one hundred four thousand.