132462978095556608000
132,462,978,095,556,608,000 is an even composite number composed of four prime numbers multiplied together.
What does the number 132462978095556608000 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 960 divisors.
132462978095556608000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 132462978095556608000:
214 × 53 × 1373 × 2933
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 137 × 137 × 137 × 293 × 293 × 293)See below for interesting mathematical facts about the number 132462978095556608000 from the Numbermatics database.
Names of 132462978095556608000
- Cardinal: 132462978095556608000 can be written as One hundred thirty-two quintillion, four hundred sixty-two quadrillion, nine hundred seventy-eight trillion, ninety-five billion, five hundred fifty-six million, six hundred eight thousand.
Scientific notation
- Scientific notation: 1.32462978095556608 × 1020
Factors of 132462978095556608000
Divisors of 132462978095556608000
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 137 160 200 250 256 274 293 320 400 500 512 548 586 640 685 800 1000 1024 1096 1172 1280 1370 1465 1600 2000 2048 2192 2344 2560 2740 2930 3200 3425 4000 4096 4384 4688 5120 5480 5860 6400 6850 7325 8000 8192 8768 9376 10240 10960 11720 12800 13700 14650 16000 16384 17125 17536 18752 18769 20480 21920 23440 25600 27400 29300 32000 34250 35072 36625 37504 37538 40141 40960 43840 46880 51200 54800 58600 64000 68500 70144 73250 75008 75076 80282 81920 85849 87680 93760 93845 102400 109600 117200 128000 137000 140288 146500 150016 150152 160564 171698 175360 187520 187690 200705 204800 219200 234400 256000 274000 280576 293000 300032 300304 321128 343396 350720 375040 375380 401410 409600 429245 438400 468800 469225 512000 548000 561152 586000 600064 600608 642256 686792 701440 750080 750760 802820 858490 876800 937600 938450 1003525 1024000 1096000 1122304 1172000 1200128 1201216 1284512 1373584 1402880 1500160 1501520 1605640 1716980 1753600 1875200 1876900 2007050 2048000 2146225 2192000 2244608 2344000 2346125 2400256 2402432 2569024 2571353 2747168 2805760 3000320 3003040 3211280 3433960 3507200 3750400 3753800 4014100 4292450 4384000 4688000 4692250 4800512 4804864 5017625 5138048 5142706 5494336 5499317 5611520 6000640 6006080 6422560 6867920 7014400 7500800 7507600 8028200 8584900 8768000 9376000 9384500 9609728 10035250 10276096 10285412 10731125 10988672 10998634 11223040 11761313 12001280 12012160 12845120 12856765 13735840 14028800 15001600 15015200 16056400 17169800 17536000 18752000 18769000 19219456 20070500 20552192 20570824 21462250 21977344 21997268 23522626 24002560 24024320 25153757 25690240 25713530 27471680 27496585 28057600 30003200 30030400 32112800 34339600 35072000 37504000 37538000 38438912 40141000 41104384 41141648 42924500 43954688 43994536 47045252 48048640 50307514 51380480 51427060 54943360 54993170 56115200 58806565 60006400 60060800 64225600 64283825 68679200 70144000 75008000 75076000 76877824 80282000 82208768 82283296 85849000 87909376 87989072 94090504 96097280 100615028 102760960 102854120 109886720 109986340 117613130 120012800 120121600 125768785 128451200 128567650 137358400 137482925 140288000 150016000 150152000 153755648 160564000 164417536 164566592 171698000 175818752 175978144 188181008 192194560 201230056 205521920 205708240 219773440 219972680 235226260 240243200 251537570 256902400 257135300 274716800 274965850 280576000 294032825 300032000 300304000 307511296 321128000 321419125 328835072 329133184 343396000 351637504 351956288 376362016 384389120 402460112 411043840 411416480 439546880 439945360 470452520 480486400 503075140 513804800 514270600 549433600 549931700 588065650 600064000 600608000 628843925 642256000 642838250 657670144 658266368 686792000 687414625 703275008 703912576 752724032 753406429 768778240 804920224 822087680 822832960 879093760 879890720 940905040 960972800 1006150280 1027609600 1028541200 1098867200 1099863400 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703912576000 752724032000 753406429000 771488183296 804920224000 805649940500 824985539072 861516177250 882192565504 882992334788 944221730266 963486760960 964360229120 1030297886720 1031231923840 1053226188800 1102740706880 1103740418485 1126260121600 1204358451200 1205450286400 1287872358400 1289039904800 1316532736000 1378425883600 1407825152000 1505448064000 1506812858000 1542976366592 1609840448000 1611299881000 1649971078144 1723032354500 1764385131008 1765984669576 1888443460532 1928720458240 2060595773440 2062463847680 2205481413760 2207480836970 2252520243200 2360554325665 2408716902400 2410900572800 2575744716800 2578079809600 2633065472000 2756851767200 2815650304000 3010896128000 3013625716000 3085952733184 3219680896000 3222599762000 3299942156288 3446064709000 3528770262016 3531969339152 3776886921064 3857440916480 4124927695360 4410962827520 4414961673940 4721108651330 4817433804800 4821801145600 5151489433600 5156159619200 5266130944000 5513703534400 5518702092425 5631300608000 6021792256000 6027251432000 6171905466368 6439361792000 6445199524000 6599884312576 6892129418000 7057540524032 7063938678304 7553773842128 7714881832960 8249855390720 8821925655040 8829923347880 9442217302660 9643602291200 10302978867200 10312319238400 11027407068800 11037404184850 11262601216000 11802771628325 12043584512000 12054502864000 12343810932736 12878723584000 12890399048000 13199768625152 13784258836000 14115081048064 14127877356608 15107547684256 15429763665920 16499710781440 17643851310080 17659846695760 18884434605320 19287204582400 20624638476800 22054814137600 22074808369700 23605543256650 24087169024000 24109005728000 25757447168000 25780798096000 26399537250304 27568517672000 27593510462125 28230162096128 28255754713216 30215095368512 30859527331840 32999421562880 35287702620160 35319693391520 37768869210640 38574409164800 41249276953600 44109628275200 44149616739400 47211086513300 48218011456000 51514894336000 51561596192000 55137035344000 55187020924250 56460324192256 56511509426432 59013858141625 60430190737024 61719054663680 64679188523221 65998843125760 70575405240320 70639386783040 75537738421280 77148818329600 82498553907200 88219256550400 88299233478800 94422173026600 96436022912000 103123192384000 110274070688000 110374041848500 113023018852864 118027716283250 120860381474048 129358377046442 131997686251520 141150810480640 141278773566080 151075476842560 154297636659200 164997107814400 176438513100800 176598466957600 188844346053200 192872045824000 206246384768000 220548141376000 220748083697000 226046037705728 236055432566500 241720762948096 258716754092884 282301620961280 282557547132160 302150953685120 308595273318400 323395942616105 329994215628800 352877026201600 353196933915200 377688692106400 385744091648000 412492769536000 441096282752000 441496167394000 452092075411456 472110865133000 483441525896192 517433508185768 565115094264320 604301907370240 646791885232210 659988431257600 705754052403200 706393867830400 755377384212800 771488183296000 824985539072000 882192565504000 882992334788000 904184150822912 944221730266000 966883051792384 1034867016371536 1130230188528640 1208603814740480 1293583770464420 1411508104806400 1412787735660800 1510754768425600 1542976366592000 1616979713080525 1649971078144000 1764385131008000 1765984669576000 1808368301645824 1888443460532000 1933766103584768 2069734032743072 2260460377057280 2417207629480960 2587167540928840 2825575471321600 3021509536851200 3233959426161050 3299942156288000 3528770262016000 3531969339152000 3616736603291648 3776886921064000 3867532207169536 4139468065486144 4520920754114560 4834415258961920 5174335081857680 5651150942643200 6043019073702400 6467918852322100 7057540524032000 7063938678304000 7553773842128000 7735064414339072 8084898565402625 8278936130972288 9041841508229120 9668830517923840 10348670163715360 11302301885286400 12086038147404800 12935837704644200 14127877356608000 15107547684256000 16169797130805250 16557872261944576 18083683016458240 19337661035847680 20697340327430720 22604603770572800 24172076294809600 25871675409288400 28255754713216000 30215095368512000 32339594261610500 33115744523889152 38675322071695360 41394680654861440 45209207541145600 48344152589619200 51743350818576800 56511509426432000 60430190737024000 64679188523221000 66231489047778304 82789361309722880 90418415082291200 96688305179238400 103486701637153600 113023018852864000 120860381474048000 129358377046442000 132462978095556608 165578722619445760 193376610358476800 206973403274307200 226046037705728000 241720762948096000 258716754092884000 264925956191113216 331157445238891520 413946806548614400 452092075411456000 483441525896192000 517433508185768000 529851912382226432 662314890477783040 827893613097228800 966883051792384000 1034867016371536000 1059703824764452864 1324629780955566080 1655787226194457600 2069734032743072000 2649259561911132160 3311574452388915200 4139468065486144000 5298519123822264320 6623148904777830400 8278936130972288000 13246297809555660800 16557872261944576000 26492595619111321600 33115744523889152000 66231489047778304000 132462978095556608000
- Sum of all divisors σ(n): 334189090537513848000
- Sum of proper divisors (its aliquot sum) s(n): 201726112441957240000
- 132462978095556608000 is an abundant number, because the sum of its proper divisors (201726112441957240000) is greater than itself. Its abundance is 69263134346400632000
Bases of 132462978095556608000
- Binary: 11100101110010010110000100011000010010011000000000001000000000000002
- Hexadecimal: 0x72E4B08C24C004000
- Base-36: RYE3IU0LJ0HKW
Squares and roots of 132462978095556608000
- 132462978095556608000 squared (1324629780955566080002) is 17546440565943909735648313332465664000000
- 132462978095556608000 cubed (1324629780955566080003) is 2324253772341614007502368677292235439158987128307712000000000
-
The
square root of 132462978095556608000 is 11509256192.1071427681 -
The
cube root of 132462978095556608000 is 5097589.2501644397
Scales and comparisons
How big is 132462978095556608000?- 132,462,978,095,556,608,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 132,462,978,095,556,608,000 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 132462978095556608000 cubic inches would be around 424799.1 feet tall.
Recreational maths with 132462978095556608000
- 132462978095556608000 backwards is 000806655590879264231
- The number of decimal digits it has is: 21
- The sum of 132462978095556608000's digits is 86
- More coming soon!
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"Number 132462978095556608000 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
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The information we have on file for 132462978095556608000 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 132462978095556608000, math, Factors of 132462978095556608000, curriculum, school, college, exams, university, Prime factorization of 132462978095556608000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-two quintillion, four hundred sixty-two quadrillion, nine hundred seventy-eight trillion, ninety-five billion, five hundred fifty-six million, six hundred eight thousand.