107124066350933299200
107,124,066,350,933,299,200 is an even composite number composed of five prime numbers multiplied together.
What does the number 107124066350933299200 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 780 divisors.
107124066350933299200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred eighty divisors.
Prime factorization of 107124066350933299200:
212 × 34 × 52 × 13 × 993479069761
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 993479069761)See below for interesting mathematical facts about the number 107124066350933299200 from the Numbermatics database.
Names of 107124066350933299200
- Cardinal: 107124066350933299200 can be written as One hundred seven quintillion, one hundred twenty-four quadrillion, sixty-six trillion, three hundred fifty billion, nine hundred thirty-three million, two hundred ninety-nine thousand, two hundred.
Scientific notation
- Scientific notation: 1.071240663509332992 × 1020
Factors of 107124066350933299200
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 20
- Sum of prime factors: 993479069784
Divisors of 107124066350933299200
- Number of divisors d(n): 780
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 64 65 72 75 78 80 81 90 96 100 104 108 117 120 128 130 135 144 150 156 160 162 180 192 195 200 208 216 225 234 240 256 260 270 288 300 312 320 324 325 351 360 384 390 400 405 416 432 450 468 480 512 520 540 576 585 600 624 640 648 650 675 702 720 768 780 800 810 832 864 900 936 960 975 1024 1040 1053 1080 1152 1170 1200 1248 1280 1296 1300 1350 1404 1440 1536 1560 1600 1620 1664 1728 1755 1800 1872 1920 1950 2025 2048 2080 2106 2160 2304 2340 2400 2496 2560 2592 2600 2700 2808 2880 2925 3072 3120 3200 3240 3328 3456 3510 3600 3744 3840 3900 4050 4096 4160 4212 4320 4608 4680 4800 4992 5120 5184 5200 5265 5400 5616 5760 5850 6144 6240 6400 6480 6656 6912 7020 7200 7488 7680 7800 8100 8320 8424 8640 8775 9216 9360 9600 9984 10240 10368 10400 10530 10800 11232 11520 11700 12288 12480 12800 12960 13312 13824 14040 14400 14976 15360 15600 16200 16640 16848 17280 17550 18432 18720 19200 19968 20480 20736 20800 21060 21600 22464 23040 23400 24960 25600 25920 26325 26624 27648 28080 28800 29952 30720 31200 32400 33280 33696 34560 35100 36864 37440 38400 39936 41472 41600 42120 43200 44928 46080 46800 49920 51200 51840 52650 53248 55296 56160 57600 59904 61440 62400 64800 66560 67392 69120 70200 74880 76800 79872 82944 83200 84240 86400 89856 92160 93600 99840 102400 103680 105300 110592 112320 115200 119808 124800 129600 133120 134784 138240 140400 149760 153600 159744 165888 166400 168480 172800 179712 184320 187200 199680 207360 210600 224640 230400 239616 249600 259200 266240 269568 276480 280800 299520 307200 331776 332800 336960 345600 359424 374400 399360 414720 421200 449280 460800 479232 499200 518400 539136 552960 561600 599040 665600 673920 691200 718848 748800 798720 829440 842400 898560 921600 998400 1036800 1078272 1123200 1198080 1331200 1347840 1382400 1437696 1497600 1658880 1684800 1797120 1996800 2073600 2156544 2246400 2396160 2695680 2764800 2995200 3369600 3594240 3993600 4147200 4313088 4492800 5391360 5990400 6739200 7188480 8294400 8985600 10782720 11980800 13478400 17971200 21565440 26956800 35942400 53913600 107827200 993479069761 1986958139522 2980437209283 3973916279044 4967395348805 5960874418566 7947832558088 8941311627849 9934790697610 11921748837132 12915227906893 14902186046415 15895665116176 17882623255698 19869581395220 23843497674264 24836976744025 25830455813786 26823934883547 29804372092830 31791330232352 35765246511396 38745683720679 39739162790440 44706558139245 47686995348528 49673953488050 51660911627572 53647869767094 59608744185660 63582660464704 64576139534465 71530493022792 74510930232075 77491367441358 79478325580880 80471804650641 89413116278490 95373990697056 99347906976100 103321823255144 107295739534188 116237051162037 119217488371320 127165320929408 129152279068930 134119674417735 143060986045584 149021860464150 154982734882716 158956651161760 160943609301282 178826232556980 190747981394112 193728418603395 198695813952200 206643646510288 214591479068376 223532790696225 232474102324074 238434976742640 254330641858816 258304558137860 268239348835470 286121972091168 298043720928300 309965469765432 317913302323520 321887218602564 322880697672325 348711153486111 357652465113960 381495962788224 387456837206790 397391627904400 402359023253205 413287293020576 429182958136752 447065581392450 464948204648148 476869953485280 508661283717632 516609116275720 536478697670940 572243944182336 581185255810185 596087441856600 619930939530864 635826604647040 643774437205128 645761395344650 670598372088675 697422306972222 715304930227920 762991925576448 774913674413580 794783255808800 804718046506410 826574586041152 858365916273504 894131162784900 929896409296296 953739906970560 968642093016975 1017322567435264 1033218232551440 1046133460458333 1072957395341880 1144487888364672 1162370511620370 1192174883713200 1239861879061728 1271653209294080 1287548874410256 1291522790689300 1341196744177350 1394844613944444 1430609860455840 1525983851152896 1549827348827160 1589566511617600 1609436093012820 1653149172082304 1716731832547008 1743555767430555 1788262325569800 1859792818592592 1907479813941120 1937284186033950 2011795116266025 2034645134870528 2066436465102880 2092266920916666 2145914790683760 2288975776729344 2324741023240740 2384349767426400 2479723758123456 2543306418588160 2575097748820512 2583045581378600 2682393488354700 2789689227888888 2861219720911680 2905926279050925 3051967702305792 3099654697654320 3179133023235200 3218872186025640 3306298344164608 3433463665094016 3487111534861110 3576524651139600 3719585637185184 3814959627882240 3874568372067900 4023590232532050 4069290269741056 4132872930205760 4184533841833332 4291829581367520 4577951553458688 4649482046481480 4768699534852800 4959447516246912 5086612837176320 5150195497641024 5166091162757200 5230667302291665 5364786976709400 5579378455777776 5722439441823360 5811852558101850 6103935404611584 6199309395308640 6358266046470400 6437744372051280 6612596688329216 6866927330188032 6974223069722220 7153049302279200 7439171274370368 7629919255764480 7749136744135800 8047180465064100 8265745860411520 8369067683666664 8583659162735040 8717778837152775 9155903106917376 9298964092962960 9537399069705600 9918895032493824 10173225674352640 10300390995282048 10332182325514400 10461334604583330 10729573953418800 11158756911555552 11444878883646720 11623705116203700 12207870809223168 12398618790617280 12716532092940800 12875488744102560 13225193376658432 13733854660376064 13948446139444440 14306098604558400 14878342548740736 15259838511528960 15498273488271600 16094360930128200 16531491720823040 16738135367333328 17167318325470080 17435557674305550 18311806213834752 18597928185925920 19074798139411200 19837790064987648 20346451348705280 20600781990564096 20664364651028800 20922669209166660 21459147906837600 22317513823111104 22889757767293440 23247410232407400 24797237581234560 25433064185881600 25750977488205120 26153336511458325 26450386753316864 27467709320752128 27896892278888880 28612197209116800 29756685097481472 30519677023057920 30996546976543200 32188721860256400 33062983441646080 33476270734666656 34334636650940160 34871115348611100 36623612427669504 37195856371851840 38149596278822400 39675580129975296 41201563981128192 41328729302057600 41845338418333320 42918295813675200 44635027646222208 45779515534586880 46494820464814800 49594475162469120 50866128371763200 51501954976410240 52306673022916650 52900773506633728 54935418641504256 55793784557777760 57224394418233600 59513370194962944 61039354046115840 61993093953086400 64377443720512800 66125966883292160 66952541469333312 68669273301880320 69742230697222200 74391712743703680 76299192557644800 79351160259950592 82403127962256384 82657458604115200 83690676836666640 85836591627350400 89270055292444416 91559031069173760 92989640929629600 99188950324938240 101732256743526400 103003909952820480 104613346045833300 109870837283008512 111587569115555520 114448788836467200 119026740389925888 123986187906172800 128754887441025600 132251933766584320 133905082938666624 137338546603760640 139484461394444400 148783425487407360 152598385115289600 158702320519901184 164806255924512768 165314917208230400 167381353673333280 171673183254700800 178540110584888832 183118062138347520 185979281859259200 198377900649876480 206007819905640960 209226692091666600 223175138231111040 228897577672934400 238053480779851776 247972375812345600 257509774882051200 264503867533168640 267810165877333248 274677093207521280 278968922788888800 297566850974814720 305196770230579200 329612511849025536 330629834416460800 334762707346666560 343346366509401600 357080221169777664 371958563718518400 396755801299752960 412015639811281920 418453384183333200 446350276462222080 457795155345868800 476106961559703552 495944751624691200 515019549764102400 535620331754666496 549354186415042560 557937845577777600 595133701949629440 661259668832921600 669525414693333120 686692733018803200 714160442339555328 743917127437036800 793511602599505920 824031279622563840 836906768366666400 892700552924444160 915590310691737600 991889503249382400 1030039099528204800 1071240663509332992 1115875691155555200 1190267403899258880 1322519337665843200 1339050829386666240 1373385466037606400 1428320884679110656 1487834254874073600 1648062559245127680 1673813536733332800 1785401105848888320 1983779006498764800 2060078199056409600 2142481327018665984 2231751382311110400 2380534807798517760 2678101658773332480 2746770932075212800 2975668509748147200 3347627073466665600 3570802211697776640 3967558012997529600 4120156398112819200 4284962654037331968 4463502764622220800 5356203317546664960 5951337019496294400 6695254146933331200 7141604423395553280 8240312796225638400 8927005529244441600 10712406635093329920 11902674038992588800 13390508293866662400 17854011058488883200 21424813270186659840 26781016587733324800 35708022116977766400 53562033175466649600 107124066350933299200
- Sum of all divisors σ(n): 427337246890924342588
- Sum of proper divisors (its aliquot sum) s(n): 320213180539991043388
- 107124066350933299200 is an abundant number, because the sum of its proper divisors (320213180539991043388) is greater than itself. Its abundance is 213089114189057744188
Bases of 107124066350933299200
- Binary: 10111001110101001010010001011000111010011101100000101010000000000002
- Hexadecimal: 0x5CEA522C74EC15000
- Base-36: MLVMG9OJW1S00
Squares and roots of 107124066350933299200
- 107124066350933299200 squared (1071240663509332992002) is 11475565591559159933351274887396720640000
- 107124066350933299200 cubed (1071240663509332992003) is 1229309249844670584836733239613043878783161913455935488000000
-
The
square root of 107124066350933299200 is 10350075668.8506050361 -
The
cube root of 107124066350933299200 is 4749293.5806483109
Scales and comparisons
How big is 107124066350933299200?- 107,124,066,350,933,299,200 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 107,124,066,350,933,299,200 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 107124066350933299200 cubic inches would be around 395774.5 feet tall.
Recreational maths with 107124066350933299200
- 107124066350933299200 backwards is 002992339053660421701
- 107124066350933299200 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 107124066350933299200's digits is 72
- More coming soon!
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The information we have on file for 107124066350933299200 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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