107485433856000
107,485,433,856,000 is an even composite number composed of five prime numbers multiplied together.
107485433856000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 107485433856000:
215 × 32 × 53 × 89 × 1812
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 89 × 181 × 181)See below for interesting mathematical facts about the number 107485433856000 from the Numbermatics database.
Names of 107485433856000
- Cardinal: 107485433856000 can be written as One hundred seven trillion, four hundred eighty-five billion, four hundred thirty-three million, eight hundred fifty-six thousand.
Scientific notation
- Scientific notation: 1.07485433856 × 1014
Factors of 107485433856000
Divisors of 107485433856000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 89 90 96 100 120 125 128 144 150 160 178 180 181 192 200 225 240 250 256 267 288 300 320 356 360 362 375 384 400 445 450 480 500 512 534 543 576 600 640 712 720 724 750 768 800 801 890 900 905 960 1000 1024 1068 1086 1125 1152 1200 1280 1335 1424 1440 1448 1500 1536 1600 1602 1629 1780 1800 1810 1920 2000 2048 2136 2172 2225 2250 2304 2400 2560 2670 2715 2848 2880 2896 3000 3072 3200 3204 3258 3560 3600 3620 3840 4000 4005 4096 4272 4344 4450 4500 4525 4608 4800 5120 5340 5430 5696 5760 5792 6000 6144 6400 6408 6516 6675 7120 7200 7240 7680 8000 8010 8145 8192 8544 8688 8900 9000 9050 9216 9600 10240 10680 10860 11125 11392 11520 11584 12000 12288 12800 12816 13032 13350 13575 14240 14400 14480 15360 16000 16020 16109 16290 16384 17088 17376 17800 18000 18100 18432 19200 20025 20480 21360 21720 22250 22625 22784 23040 23168 24000 24576 25600 25632 26064 26700 27150 28480 28800 28960 30720 32000 32040 32218 32580 32761 32768 33375 34176 34752 35600 36000 36200 36864 38400 40050 40725 40960 42720 43440 44500 45250 45568 46080 46336 48000 48327 49152 51200 51264 52128 53400 54300 56960 57600 57920 61440 64000 64080 64436 65160 65522 66750 67875 68352 69504 71200 72000 72400 73728 76800 80100 80545 81450 81920 85440 86880 89000 90500 91136 92160 92672 96000 96654 98283 98304 100125 102400 102528 104256 106800 108600 113920 115200 115840 122880 128000 128160 128872 130320 131044 133500 135750 136704 139008 142400 144000 144800 144981 147456 153600 160200 161090 162900 163805 163840 170880 173760 178000 181000 182272 184320 185344 192000 193308 196566 200250 203625 204800 205056 208512 213600 217200 227840 230400 231680 241635 245760 256000 256320 257744 260640 262088 267000 271500 273408 278016 284800 288000 289600 289962 294849 294912 307200 320400 322180 325800 327610 341760 347520 356000 362000 364544 368640 370688 384000 386616 393132 400500 402725 407250 409600 410112 417024 427200 434400 455680 460800 463360 483270 491415 491520 512000 512640 515488 521280 524176 534000 543000 546816 556032 569600 576000 579200 579924 589698 614400 640800 644360 651600 655220 683520 695040 712000 724000 724905 729088 737280 741376 768000 773232 786264 801000 805450 814500 819025 819200 820224 834048 854400 868800 911360 921600 926720 966540 982830 1024000 1025280 1030976 1042560 1048352 1068000 1086000 1093632 1112064 1139200 1152000 1158400 1159848 1179396 1208175 1228800 1281600 1288720 1303200 1310440 1367040 1390080 1424000 1448000 1449810 1458176 1474245 1474560 1482752 1536000 1546464 1572528 1602000 1610900 1629000 1638050 1640448 1668096 1708800 1737600 1822720 1843200 1853440 1933080 1965660 2013625 2048000 2050560 2061952 2085120 2096704 2136000 2172000 2187264 2224128 2278400 2304000 2316800 2319696 2358792 2416350 2457075 2457600 2563200 2577440 2606400 2620880 2734080 2780160 2848000 2896000 2899620 2915729 2916352 2948490 2965504 3072000 3092928 3145056 3204000 3221800 3258000 3276100 3280896 3336192 3417600 3475200 3624525 3645440 3686400 3706880 3866160 3931320 4027250 4095125 4096000 4101120 4123904 4170240 4193408 4272000 4344000 4374528 4448256 4556800 4608000 4633600 4639392 4717584 4832700 4914150 5126400 5154880 5212800 5241760 5468160 5560320 5696000 5792000 5799240 5831458 5896980 5931008 6040875 6144000 6185856 6290112 6408000 6443600 6516000 6552200 6561792 6672384 6835200 6950400 7249050 7290880 7371225 7372800 7413760 7732320 7862640 8054500 8190250 8202240 8247808 8340480 8386816 8544000 8688000 8747187 8749056 8896512 9113600 9216000 9267200 9278784 9435168 9665400 9828300 10252800 10309760 10425600 10483520 10936320 11120640 11392000 11584000 11598480 11662916 11793960 12081750 12285375 12288000 12371712 12580224 12816000 12887200 13032000 13104400 13123584 13344768 13670400 13900800 14498100 14578645 14581760 14742450 14827520 15464640 15725280 16109000 16380500 16404480 16495616 16680960 16773632 17088000 17376000 17494374 17793024 18122625 18227200 18432000 18534400 18557568 18870336 19330800 19656600 20505600 20619520 20851200 20967040 21872640 22241280 22784000 23168000 23196960 23325832 23587920 24163500 24570750 24743424 25160448 25632000 25774400 26064000 26208800 26241561 26247168 26689536 27340800 27801600 28996200 29157290 29484900 29655040 30929280 31450560 32218000 32761000 32808960 32991232 33361920 33547264 34176000 34752000 34988748 36245250 36454400 36856125 36864000 37068800 37115136 37740672 38661600 39313200 41011200 41239040 41702400 41934080 43735935 43745280 44482560 45568000 46336000 46393920 46651664 47175840 48327000 49141500 49486848 50320896 51264000 51548800 52128000 52417600 52483122 53379072 54681600 55603200 57992400 58314580 58969800 61858560 62901120 64436000 65522000 65617920 65982464 66723840 67094528 68352000 69504000 69977496 72490500 72893225 72908800 73712250 74137600 74230272 75481344 77323200 78626400 82022400 82478080 83404800 83868160 87471870 88965120 91136000 92672000 92787840 93303328 94351680 96654000 98283000 98973696 100641792 102528000 103097600 104256000 104835200 104966244 109363200 111206400 115984800 116629160 117939600 123717120 125802240 128872000 131044000 131207805 131235840 131964928 133447680 134189056 136704000 139008000 139954992 144981000 145786450 147424500 148275200 148460544 150962688 154646400 157252800 164044800 164956160 166809600 167736320 174943740 182272000 185344000 185575680 186606656 188703360 193308000 196566000 197947392 201283584 205056000 206195200 208512000 209670400 209932488 218679675 218726400 222412800 231969600 233258320 235879200 247434240 251604480 257744000 262088000 262415610 263929856 266895360 268378112 273408000 278016000 279909984 289962000 291572900 294849000 296921088 301925376 309292800 314505600 328089600 329912320 333619200 335472640 349887480 364466125 364544000 370688000 371151360 373213312 377406720 386616000 393132000 395894784 402567168 410112000 412390400 417024000 419340800 419864976 437359350 444825600 463939200 466516640 471758400 494868480 503208960 515488000 524176000 524831220 527859712 536756224 546816000 556032000 559819968 579924000 583145800 589698000 593842176 603850752 618585600 629011200 656039025 656179200 659824640 667238400 670945280 699774960 728932250 741376000 742302720 746426624 754813440 773232000 786264000 791789568 805134336 820224000 824780800 834048000 838681600 839729952 874718700 927878400 933033280 943516800 989736960 1006417920 1030976000 1048352000 1049662440 1073512448 1093398375 1093632000 1112064000 1119639936 1159848000 1166291600 1179396000 1187684352 1207701504 1237171200 1258022400 1312078050 1319649280 1334476800 1341890560 1399549920 1457864500 1484605440 1492853248 1509626880 1546464000 1572528000 1583579136 1610268672 1640448000 1649561600 1668096000 1677363200 1679459904 1749437400 1855756800 1866066560 1887033600 1979473920 2012835840 2061952000 2096704000 2099324880 2186796750 2224128000 2239279872 2319696000 2332583200 2358792000 2375368704 2415403008 2474342400 2516044800 2624156100 2639298560 2683781120 2799099840 2915729000 2969210880 2985706496 3019253760 3092928000 3145056000 3220537344 3280195125 3280896000 3299123200 3336192000 3354726400 3358919808 3498874800 3711513600 3732133120 3774067200 3958947840 4025671680 4123904000 4193408000 4198649760 4373593500 4478559744 4639392000 4665166400 4717584000 4750737408 4830806016 4948684800 5032089600 5248312200 5367562240 5598199680 5831458000 5938421760 5971412992 6038507520 6185856000 6290112000 6560390250 6598246400 6672384000 6709452800 6717839616 6997749600 7423027200 7464266240 7548134400 7917895680 8051343360 8247808000 8386816000 8397299520 8747187000 8957119488 9278784000 9330332800 9435168000 9661612032 9897369600 10064179200 10496624400 11196399360 11662916000 11876843520 11942825984 12077015040 12371712000 12580224000 13120780500 13196492800 13418905600 13435679232 13995499200 14846054400 14928532480 15096268800 16102686720 16495616000 16773632000 16794599040 17494374000 17914238976 18557568000 18660665600 18870336000 19794739200 20128358400 20993248800 22392798720 23325832000 23753687040 23885651968 24154030080 24743424000 25160448000 26241561000 26837811200 26871358464 27990998400 29692108800 29857064960 30192537600 32991232000 33547264000 33589198080 34988748000 35828477952 37115136000 37321331200 37740672000 39589478400 40256716800 41986497600 44785597440 46651664000 47771303936 48308060160 49486848000 50320896000 52483122000 53742716928 55981996800 59384217600 59714129920 60385075200 65982464000 67094528000 67178396160 69977496000 71656955904 74230272000 74642662400 75481344000 80513433600 83972995200 89571194880 93303328000 95542607872 98973696000 100641792000 104966244000 107485433856 111963993600 118768435200 119428259840 120770150400 134189056000 134356792320 139954992000 143313911808 148460544000 149285324800 150962688000 167945990400 179142389760 186606656000 197947392000 201283584000 209932488000 214970867712 223927987200 238856519680 241540300800 268713584640 279909984000 286627823616 296921088000 298570649600 301925376000 335891980800 358284779520 373213312000 402567168000 419864976000 429941735424 447855974400 477713039360 537427169280 559819968000 593842176000 597141299200 603850752000 671783961600 716569559040 746426624000 839729952000 859883470848 895711948800 1074854338560 1119639936000 1194282598400 1207701504000 1343567923200 1433139118080 1492853248000 1679459904000 1791423897600 2149708677120 2239279872000 2388565196800 2687135846400 2985706496000 3358919808000 3582847795200 4299417354240 4478559744000 5374271692800 5971412992000 6717839616000 7165695590400 8957119488000 10748543385600 11942825984000 13435679232000 17914238976000 21497086771200 26871358464000 35828477952000 53742716928000 107485433856000
- Sum of all divisors σ(n): 394045988052600
- Sum of proper divisors (its aliquot sum) s(n): 286560554196600
- 107485433856000 is an abundant number, because the sum of its proper divisors (286560554196600) is greater than itself. Its abundance is 179075120340600
Bases of 107485433856000
- Binary: 110000111000001111001110001101010000000000000002
- Hexadecimal: 0x61C1E71A8000
- Base-36: 123M4K4JK0
Squares and roots of 107485433856000
- 107485433856000 squared (1074854338560002) is 11553118491212551028736000000
- 107485433856000 cubed (1074854338560003) is 1241791953417757170836228083286016000000000
-
The
square root of 107485433856000 is 10367518.2110281339 -
The
cube root of 107485433856000 is 47546.2793799573
Scales and comparisons
How big is 107485433856000?- 107,485,433,856,000 seconds is equal to 3,417,704 years, 16 weeks, 5 days, 8 hours.
-
To count from 1 to 107,485,433,856,000 would take you about eight million, five hundred forty-four thousand, two hundred sixty 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 107485433856000 cubic inches would be around 3962.2 feet tall.
Recreational maths with 107485433856000
- 107485433856000 backwards is 000658334584701
- The number of decimal digits it has is: 15
- The sum of 107485433856000's digits is 54
- More coming soon!
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The information we have on file for 107485433856000 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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