55564906924881715200
55,564,906,924,881,715,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 55564906924881715200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1008 divisors.
55564906924881715200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 55564906924881715200:
213 × 3 × 52 × 72 × 31 × 59537639257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 31 × 59537639257)See below for interesting mathematical facts about the number 55564906924881715200 from the Numbermatics database.
Names of 55564906924881715200
- Cardinal: 55564906924881715200 can be written as Fifty-five quintillion, five hundred sixty-four quadrillion, nine hundred six trillion, nine hundred twenty-four billion, eight hundred eighty-one million, seven hundred fifteen thousand, two hundred.
Scientific notation
- Scientific notation: 5.55649069248817152 × 1019
Factors of 55564906924881715200
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 20
- Sum of prime factors: 59537639305
Divisors of 55564906924881715200
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 31 32 35 40 42 48 49 50 56 60 62 64 70 75 80 84 93 96 98 100 105 112 120 124 128 140 147 150 155 160 168 175 186 192 196 200 210 217 224 240 245 248 256 280 294 300 310 320 336 350 372 384 392 400 420 434 448 465 480 490 496 512 525 560 588 600 620 640 651 672 700 735 744 768 775 784 800 840 868 896 930 960 980 992 1024 1050 1085 1120 1176 1200 1225 1240 1280 1302 1344 1400 1470 1488 1519 1536 1550 1568 1600 1680 1736 1792 1860 1920 1960 1984 2048 2100 2170 2240 2325 2352 2400 2450 2480 2560 2604 2688 2800 2940 2976 3038 3072 3100 3136 3200 3255 3360 3472 3584 3675 3720 3840 3920 3968 4096 4200 4340 4480 4557 4650 4704 4800 4900 4960 5120 5208 5376 5425 5600 5880 5952 6076 6144 6200 6272 6400 6510 6720 6944 7168 7350 7440 7595 7680 7840 7936 8192 8400 8680 8960 9114 9300 9408 9600 9800 9920 10240 10416 10752 10850 11200 11760 11904 12152 12288 12400 12544 12800 13020 13440 13888 14336 14700 14880 15190 15360 15680 15872 16275 16800 17360 17920 18228 18600 18816 19200 19600 19840 20480 20832 21504 21700 22400 22785 23520 23808 24304 24576 24800 25088 25600 26040 26880 27776 28672 29400 29760 30380 30720 31360 31744 32550 33600 34720 35840 36456 37200 37632 37975 38400 39200 39680 40960 41664 43008 43400 44800 45570 47040 47616 48608 49600 50176 51200 52080 53760 55552 57344 58800 59520 60760 61440 62720 63488 65100 67200 69440 71680 72912 74400 75264 75950 76800 78400 79360 83328 86016 86800 89600 91140 94080 95232 97216 99200 100352 102400 104160 107520 111104 113925 117600 119040 121520 122880 125440 126976 130200 134400 138880 143360 145824 148800 150528 151900 153600 156800 158720 166656 172032 173600 179200 182280 188160 190464 194432 198400 200704 204800 208320 215040 222208 227850 235200 238080 243040 250880 253952 260400 268800 277760 286720 291648 297600 301056 303800 307200 313600 317440 333312 347200 358400 364560 376320 380928 388864 396800 401408 416640 430080 444416 455700 470400 476160 486080 501760 520800 537600 555520 583296 595200 602112 607600 614400 627200 634880 666624 694400 716800 729120 752640 761856 777728 793600 833280 860160 888832 911400 940800 952320 972160 1003520 1041600 1075200 1111040 1166592 1190400 1204224 1215200 1254400 1269760 1333248 1388800 1433600 1458240 1505280 1555456 1587200 1666560 1777664 1822800 1881600 1904640 1944320 2007040 2083200 2150400 2222080 2333184 2380800 2430400 2508800 2666496 2777600 2916480 3010560 3110912 3174400 3333120 3645600 3763200 3809280 3888640 4166400 4300800 4444160 4666368 4761600 4860800 5017600 5332992 5555200 5832960 6021120 6221824 6348800 6666240 7291200 7526400 7777280 8332800 8888320 9332736 9523200 9721600 10035200 11110400 11665920 12443648 13332480 14582400 15052800 15554560 16665600 18665472 19046400 19443200 22220800 23331840 26664960 29164800 30105600 31109120 33331200 37330944 38886400 44441600 46663680 58329600 62218240 66662400 77772800 93327360 116659200 133324800 155545600 186654720 233318400 311091200 466636800 933273600 59537639257 119075278514 178612917771 238150557028 297688196285 357225835542 416763474799 476301114056 595376392570 714451671084 833526949598 893064588855 952602228112 1190752785140 1250290424397 1428903342168 1488440981425 1667053899196 1786129177710 1845666816967 1905204456224 2083817373995 2381505570280 2500580848794 2857806684336 2917344323593 2976881962850 3334107798392 3572258355420 3691333633934 3810408912448 4167634747990 4465322944275 4763011140560 5001161697588 5537000450901 5715613368672 5834688647186 5953763925700 6251452121985 6668215596784 7144516710840 7382667267868 7620817824896 8335269495980 8752032970779 8930645888550 9228334084835 9526022281120 10002323395176 10419086869975 11074000901802 11431226737344 11669377294372 11907527851400 12502904243970 12919667718769 13336431193568 14289033421680 14586721617965 14765334535736 15241635649792 16670538991960 17504065941558 17861291777100 18456668169670 19052044562240 20004646790352 20838173739950 22148001803604 22862453474688 23338754588744 23815055702800 25005808487940 25839335437538 26672862387136 27685002254505 28578066843360 29173443235930 29530669071472 30483271299584 31257260609925 33341077983920 35008131883116 35722583554200 36913336339340 38104089124480 38759003156307 40009293580704 41676347479900 43760164853895 44296003607208 45724906949376 46141670424175 46677509177488 47630111405600 50011616975880 51678670875076 53345724774272 55370004509010 57156133686720 58346886471860 59061338142944 60966542599168 62514521219850 64598338593845 66682155967840 70016263766232 71445167108400 72933608089825 73826672678680 76208178248960 77518006312614 80018587161408 83352694959800 87520329707790 88592007214416 90437674031383 91449813898752 92283340848350 93355018354976 95260222811200 100023233951760 103357341750152 106691449548544 110740009018020 114312267373440 116693772943720 118122676285888 121933085198336 125029042439700 129196677187690 133364311935680 138425011272525 140032527532464 142890334216800 145867216179650 147653345357360 152416356497920 155036012625228 160037174322816 166705389919600 175040659415580 177184014428832 180875348062766 182899627797504 184566681696700 186710036709952 190520445622400 193795015781535 200046467903520 206714683500304 213382899097088 218800824269475 221480018036040 228624534746880 233387545887440 236245352571776 243866170396672 250058084879400 258393354375380 266728623871360 271313022094149 276850022545050 280065055064928 285780668433600 291734432359300 295306690714720 304832712995840 310072025250456 320074348645632 322991692969225 333410779839200 350081318831160 354368028857664 361750696125532 365799255595008 369133363393400 373420073419904 381040891244800 387590031563070 400092935807040 413429367000608 426765798194176 437601648538950 442960036072080 452188370156915 457249069493760 466775091774880 472490705143552 487732340793344 500116169758800 516786708750760 533457247742720 542626044188298 553700045090100 560130110129856 571561336867200 583468864718600 590613381429440 609665425991680 620144050500912 640148697291264 645983385938450 666821559678400 700162637662320 708736057715328 723501392251064 731598511190016 738266726786800 746840146839808 762081782489600 775180063126140 800185871614080 826858734001216 853531596388352 875203297077900 885920072144160 904376740313830 914498138987520 933550183549760 944981410287104 968975078907675 1000232339517600 1033573417501520 1066914495485440 1085252088376596 1107400090180200 1120260220259712 1143122673734400 1166937729437200 1181226762858880 1219330851983360 1240288101001824 1280297394582528 1291966771876900 1333643119356800 1356565110470745 1400325275324640 1417472115430656 1447002784502128 1463197022380032 1476533453573600 1493680293679616 1524163564979200 1550360126252280 1600371743228160 1653717468002432 1707063192776704 1750406594155800 1771840144288320 1808753480627660 1828996277975040 1867100367099520 1889962820574208 1937950157815350 2000464679035200 2067146835003040 2133828990970880 2170504176753192 2214800180360400 2240520440519424 2260941850784575 2286245347468800 2333875458874400 2362453525717760 2438661703966720 2480576202003648 2560594789165056 2583933543753800 2667286238713600 2713130220941490 2800650550649280 2834944230861312 2894005569004256 2953066907147200 2987360587359232 3048327129958400 3100720252504560 3200743486456320 3307434936004864 3414126385553408 3500813188311600 3543680288576640 3617506961255320 3657992555950080 3734200734199040 3779925641148416 3875900315630700 4000929358070400 4134293670006080 4267657981941760 4341008353506384 4429600360720800 4481040881038848 4521883701569150 4572490694937600 4667750917748800 4724907051435520 4961152404007296 5121189578330112 5167867087507600 5334572477427200 5426260441882980 5601301101298560 5669888461722624 5788011138008512 5906133814294400 5974721174718464 6096654259916800 6201440505009120 6401486972912640 6614869872009728 6782825552353725 7001626376623200 7087360577153280 7235013922510640 7315985111900160 7468401468398080 7559851282296832 7751800631261400 8001858716140800 8268587340012160 8535315963883520 8682016707012768 8859200721441600 8962081762077696 9043767403138300 9144981389875200 9335501835497600 9449814102871040 9922304808014592 10242379156660224 10335734175015200 10669144954854400 10852520883765960 11202602202597120 11339776923445248 11576022276017024 11812267628588800 11949442349436928 12193308519833600 12402881010018240 12802973945825280 13229739744019456 13565651104707450 14003252753246400 14174721154306560 14470027845021280 14936802936796160 15119702564593664 15503601262522800 16003717432281600 16537174680024320 17070631927767040 17364033414025536 17718401442883200 17924163524155392 18087534806276600 18289962779750400 18671003670995200 18899628205742080 19844609616029184 20671468350030400 21338289909708800 21705041767531920 22405204405194240 22679553846890496 23152044552034048 23624535257177600 23898884698873856 24805762020036480 25605947891650560 26459479488038912 27131302209414900 28006505506492800 28349442308613120 28940055690042560 29873605873592320 31007202525045600 32007434864563200 33074349360048640 34728066828051072 35436802885766400 35848327048310784 36175069612553200 36579925559500800 37342007341990400 37799256411484160 39689219232058368 41342936700060800 42676579819417600 43410083535063840 44810408810388480 45359107693780992 46304089104068096 47249070514355200 49611524040072960 51211895783301120 52918958976077824 54262604418829800 56013011012985600 56698884617226240 57880111380085120 59747211747184640 62014405050091200 64014869729126400 66148698720097280 69456133656102144 70873605771532800 71696654096621568 72350139225106400 74684014683980800 75598512822968320 79378438464116736 82685873400121600 85353159638835200 86820167070127680 89620817620776960 92608178208136192 94498141028710400 99223048080145920 105837917952155648 108525208837659600 112026022025971200 113397769234452480 115760222760170240 119494423494369280 124028810100182400 128029739458252800 132297397440194560 138912267312204288 141747211543065600 144700278450212800 149368029367961600 158756876928233472 165371746800243200 173640334140255360 179241635241553920 185216356416272384 188996282057420800 198446096160291840 217050417675319200 224052044051942400 226795538468904960 231520445520340480 248057620200364800 256059478916505600 264594794880389120 277824534624408576 283494423086131200 289400556900425600 298736058735923200 317513753856466944 330743493600486400 347280668280510720 358483270483107840 370432712832544768 377992564114841600 396892192320583680 434100835350638400 448104088103884800 463040891040680960 496115240400729600 529189589760778240 555649069248817152 566988846172262400 578801113800851200 597472117471846400 661486987200972800 694561336561021440 740865425665089536 793784384641167360 868201670701276800 896208176207769600 926081782081361920 992230480801459200 1111298138497634304 1133977692344524800 1157602227601702400 1322973974401945600 1389122673122042880 1587568769282334720 1736403341402553600 1792416352415539200 1852163564162723840 1984460961602918400 2222596276995268608 2315204455203404800 2645947948803891200 2778245346244085760 3472806682805107200 3704327128325447680 3968921923205836800 4630408910406809600 5556490692488171520 6945613365610214400 7937843846411673600 9260817820813619200 11112981384976343040 13891226731220428800 18521635641627238400 27782453462440857600 55564906924881715200
- Sum of all divisors σ(n): 220613233841159595264
- Sum of proper divisors (its aliquot sum) s(n): 165048326916277880064
- 55564906924881715200 is an abundant number, because the sum of its proper divisors (165048326916277880064) is greater than itself. Its abundance is 109483419991396164864
Bases of 55564906924881715200
- Binary: 1100000011000111100011010001110011111000110011011110100000000000002
- Hexadecimal: 0x3031E3473E337A000
- Base-36: BQ5MBMGIZZXMO
Squares and roots of 55564906924881715200
- 55564906924881715200 squared (555649069248817152002) is 3087458881570767987819729511293911040000
- 55564906924881715200 cubed (555649069248817152003) is 171554365388879121587657981996436244115532453991415808000000
-
The
square root of 55564906924881715200 is 7454187207.5285119717 -
The
cube root of 55564906924881715200 is 3815928.2227462919
Scales and comparisons
How big is 55564906924881715200?- 55,564,906,924,881,715,200 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 55,564,906,924,881,715,200 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 55564906924881715200 cubic inches would be around 317994 feet tall.
Recreational maths with 55564906924881715200
- 55564906924881715200 backwards is 00251718842960946555
- The number of decimal digits it has is: 20
- The sum of 55564906924881715200's digits is 87
- More coming soon!
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The information we have on file for 55564906924881715200 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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