56142624731513644800
56,142,624,731,513,644,800 is an even composite number composed of six prime numbers multiplied together.
56142624731513644800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 56142624731513644800:
28 × 33 × 52 × 7 × 19 × 2442852997577
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 19 × 2442852997577)See below for interesting mathematical facts about the number 56142624731513644800 from the Numbermatics database.
Names of 56142624731513644800
- Cardinal: 56142624731513644800 can be written as Fifty-six quintillion, one hundred forty-two quadrillion, six hundred twenty-four trillion, seven hundred thirty-one billion, five hundred thirteen million, six hundred forty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 5.61426247315136448 × 1019
Factors of 56142624731513644800
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 16
- Sum of prime factors: 2442852997613
Divisors of 56142624731513644800
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 25 27 28 30 32 35 36 38 40 42 45 48 50 54 56 57 60 63 64 70 72 75 76 80 84 90 95 96 100 105 108 112 114 120 126 128 133 135 140 144 150 152 160 168 171 175 180 189 190 192 200 210 216 224 225 228 240 252 256 266 270 280 285 288 300 304 315 320 336 342 350 360 378 380 384 399 400 420 432 448 450 456 475 480 504 513 525 532 540 560 570 576 600 608 630 640 665 672 675 684 700 720 756 760 768 798 800 840 855 864 896 900 912 945 950 960 1008 1026 1050 1064 1080 1120 1140 1152 1197 1200 1216 1260 1280 1330 1344 1350 1368 1400 1425 1440 1512 1520 1575 1596 1600 1680 1710 1728 1792 1800 1824 1890 1900 1920 1995 2016 2052 2100 2128 2160 2240 2280 2304 2394 2400 2432 2520 2565 2660 2688 2700 2736 2800 2850 2880 3024 3040 3150 3192 3200 3325 3360 3420 3456 3591 3600 3648 3780 3800 3840 3990 4032 4104 4200 4256 4275 4320 4480 4560 4725 4788 4800 4864 5040 5130 5320 5376 5400 5472 5600 5700 5760 5985 6048 6080 6300 6384 6400 6650 6720 6840 6912 7182 7200 7296 7560 7600 7980 8064 8208 8400 8512 8550 8640 8960 9120 9450 9576 9600 9975 10080 10260 10640 10800 10944 11200 11400 11520 11970 12096 12160 12600 12768 12825 13300 13440 13680 14364 14400 14592 15120 15200 15960 16128 16416 16800 17024 17100 17280 17955 18240 18900 19152 19200 19950 20160 20520 21280 21600 21888 22400 22800 23940 24192 24320 25200 25536 25650 26600 26880 27360 28728 28800 29925 30240 30400 31920 32832 33600 34048 34200 34560 35910 36480 37800 38304 39900 40320 41040 42560 43200 43776 44800 45600 47880 48384 50400 51072 51300 53200 54720 57456 57600 59850 60480 60800 63840 65664 67200 68400 71820 72960 75600 76608 79800 80640 82080 85120 86400 89775 91200 95760 100800 102144 102600 106400 109440 114912 119700 120960 121600 127680 131328 134400 136800 143640 151200 153216 159600 164160 170240 172800 179550 182400 191520 201600 205200 212800 218880 229824 239400 241920 255360 273600 287280 302400 306432 319200 328320 359100 364800 383040 403200 410400 425600 459648 478800 510720 547200 574560 604800 638400 656640 718200 766080 820800 851200 919296 957600 1094400 1149120 1209600 1276800 1436400 1532160 1641600 1915200 2298240 2553600 2872800 3283200 3830400 4596480 5745600 7660800 11491200 22982400 2442852997577 4885705995154 7328558992731 9771411990308 12214264987885 14657117985462 17099970983039 19542823980616 21985676978193 24428529975770 29314235970924 34199941966078 36642794963655 39085647961232 43971353956386 46414206953963 48857059951540 51299912949117 58628471941848 61071324939425 65957030934579 68399883932156 73285589927310 78171295922464 85499854915195 87942707912772 92828413907926 97714119903080 102599825898234 109928384890965 117256943883696 122142649878850 131914061869158 136799767864312 139242620861889 146571179854620 153899738847351 156342591844928 170999709830390 175885415825544 183213974818275 185656827815852 195428239806160 205199651796468 219856769781930 232071034769815 234513887767392 244285299757700 256499564745585 263828123738316 273599535728624 278485241723778 293142359709240 307799477694702 312685183689856 324899448677741 329785154672895 341999419660780 351770831651088 366427949636550 371313655631704 390856479612320 410399303592936 417727862585667 427499274575975 439713539563860 461699216542053 464142069539630 469027775534784 488570599515400 512999129491170 527656247476632 547199071457248 549641924454825 556970483447556 586284719418480 615598955389404 625370367379712 649798897355482 659570309345790 683998839321560 696213104309445 703541663302176 732855899273100 742627311263408 769498694236755 781712959224640 820798607185872 835455725171334 854998549151950 879427079127720 923398433084106 928284139079260 938055551069568 974698346033223 977141199030800 1025998258982340 1055312494953264 1094398142914496 1099283848909650 1113940966895112 1160355173849075 1172569438836960 1231197910778808 1253183587757001 1282497823727925 1299597794710964 1319140618691580 1367997678643120 1392426208618890 1407083326604352 1465711798546200 1485254622526816 1538997388473510 1563425918449280 1624497243388705 1641597214371744 1648925773364475 1670911450342668 1709997098303900 1758854158255440 1846796866168212 1856568278158520 1876111102139136 1949396692066446 1954282398061600 2051996517964680 2088639312928335 2110624989906528 2188796285828992 2198567697819300 2227881933790224 2308496082710265 2320710347698150 2345138877673920 2462395821557616 2506367175514002 2564995647455850 2599195589421928 2638281237383160 2735995357286240 2784852417237780 2814166653208704 2924095038099669 2931423597092400 2970509245053632 3077994776947020 3126851836898560 3248994486777410 3283194428743488 3297851546728950 3341822900685336 3419994196607800 3481065521547225 3517708316510880 3693593732336424 3713136556317040 3847493471183775 3898793384132892 3908564796123200 4103993035929360 4177278625856670 4221249979813056 4377592571657984 4397135395638600 4455763867580448 4616992165420530 4641420695396300 4690277755347840 4873491730166115 4924791643115232 5012734351028004 5129991294911700 5198391178843856 5276562474766320 5471990714572480 5569704834475560 5628333306417408 5848190076199338 5862847194184800 5941018490107264 6155989553894040 6265917938785005 6497988973554820 6566388857486976 6595703093457900 6683645801370672 6839988393215600 6962131043094450 7035416633021760 7387187464672848 7426273112634080 7694986942367550 7797586768265784 7817129592246400 8122486216943525 8207986071858720 8354557251713340 8442499959626112 8772285114299007 8794270791277200 8911527735160896 9233984330841060 9282841390792600 9380555510695680 9746983460332230 9849583286230464 10025468702056008 10259982589823400 10396782357687712 10443196564641675 10553124949532640 10943981429144960 11139409668951120 11542480413551325 11696380152398676 11725694388369600 11882036980214528 12311979107788080 12531835877570010 12995977947109640 13132777714973952 13191406186915800 13367291602741344 13679976786431200 13924262086188900 14070833266043520 14620475190498345 14774374929345696 14852546225268160 15389973884735100 15595173536531568 15634259184492800 16244972433887050 16415972143717440 16709114503426680 16884999919252224 17544570228598014 17588541582554400 17823055470321792 18467968661682120 18565682781585200 19493966920664460 19699166572460928 20050937404112016 20519965179646800 20793564715375424 20886393129283350 21106249899065280 21887962858289920 22278819337902240 23084960827102650 23392760304797352 23451388776739200 24367458650830575 24623958215576160 25063671755140020 25991955894219280 26382812373831600 26734583205482688 27359953572862400 27848524172377800 28141666532087040 29240950380996690 29548749858691392 29705092450536320 30779947769470200 31190347073063136 31329589693925025 32489944867774100 32831944287434880 33418229006853360 35089140457196028 35177083165108800 35646110940643584 36935937323364240 37131365563170400 38987933841328920 39398333144921856 40101874808224032 41039930359293600 41587129430750848 41772786258566700 42212499798130560 43861425571495035 44557638675804480 46169921654205300 46785520609594704 46902777553478400 48734917301661150 49247916431152320 50127343510280040 51983911788438560 52765624747663200 53469166410965376 54719907145724800 55697048344755600 58481900761993380 59097499717382784 59410184901072640 61559895538940400 62380694146126272 62659179387850050 64979889735548200 65663888574869760 66836458013706720 70178280914392056 70354166330217600 73102375952491725 73871874646728480 74262731126340800 77975867682657840 80203749616448064 82079860718587200 83174258861501696 83545572517133400 84424999596261120 87722851142990070 89115277351608960 92339843308410600 93571041219189408 97469834603322300 98495832862304640 100254687020560080 103967823576877120 105531249495326400 106938332821930752 109439814291449600 111394096689511200 116963801523986760 118194999434765568 123119791077880800 124761388292252544 125318358775700100 129959779471096400 133672916027413440 140356561828784112 140708332660435200 146204751904983450 147743749293456960 148525462252681600 155951735365315680 160407499232896128 164159721437174400 167091145034266800 175445702285980140 178230554703217920 184679686616821200 187142082438378816 194939669206644600 196991665724609280 200509374041120160 207935647153754240 211062498990652800 219307127857475175 222788193379022400 233927603047973520 246239582155761600 249522776584505088 250636717551400200 259919558942192800 267345832054826880 280713123657568224 292409503809966900 295487498586913920 297050924505363200 311903470730631360 320814998465792256 328319442874348800 334182290068533600 350891404571960280 369359373233642400 374284164876757632 389879338413289200 401018748082240320 415871294307508480 422124997981305600 438614255714950350 445576386758044800 467855206095947040 492479164311523200 501273435102800400 519839117884385600 534691664109653760 561426247315136448 584819007619933800 590974997173827840 623806941461262720 668364580137067200 701782809143920560 738718746467284800 748568329753515264 779758676826578400 802037496164480640 877228511429900700 891152773516089600 935710412191894080 984958328623046400 1002546870205600800 1039678235768771200 1122852494630272896 1169638015239867600 1247613882922525440 1336729160274134400 1403565618287841120 1477437492934569600 1559517353653156800 1604074992328961280 1754457022859801400 1871420824383788160 2005093740411201600 2079356471537542400 2245704989260545792 2339276030479735200 2673458320548268800 2807131236575682240 2954874985869139200 3119034707306313600 3508914045719602800 3742841648767576320 4010187480822403200 4678552060959470400 5614262473151364480 6238069414612627200 7017828091439205600 8020374961644806400 9357104121918940800 11228524946302728960 14035656182878411200 18714208243837881600 28071312365756822400 56142624731513644800
- Sum of all divisors σ(n): 247662299741651827200
- Sum of proper divisors (its aliquot sum) s(n): 191519675010138182400
- 56142624731513644800 is an abundant number, because the sum of its proper divisors (191519675010138182400) is greater than itself. Its abundance is 135377050278624537600
Bases of 56142624731513644800
- Binary: 1100001011001000101010101110111100101001111110111001100111000000002
- Hexadecimal: 0x30B22ABBCA7EE6700
- Base-36: BUJMRHT08WQO0
Squares and roots of 56142624731513644800
- 56142624731513644800 squared (561426247315136448002) is 3151994311743567556864122928580567040000
- 56142624731513644800 cubed (561426247315136448003) is 176961233800084745136025619145783450874733645881147392000000
-
The
square root of 56142624731513644800 is 7492838229.3703395289 -
The
cube root of 56142624731513644800 is 3829107.6036585085
Scales and comparisons
How big is 56142624731513644800?- 56,142,624,731,513,644,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 56,142,624,731,513,644,800 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 56142624731513644800 cubic inches would be around 319092.3 feet tall.
Recreational maths with 56142624731513644800
- 56142624731513644800 backwards is 00844631513742624165
- 56142624731513644800 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 56142624731513644800's digits is 72
- More coming soon!
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The information we have on file for 56142624731513644800 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 56142624731513644800, math, Factors of 56142624731513644800, curriculum, school, college, exams, university, Prime factorization of 56142624731513644800, STEM, science, technology, engineering, physics, economics, calculator, fifty-six quintillion, one hundred forty-two quadrillion, six hundred twenty-four trillion, seven hundred thirty-one billion, five hundred thirteen million, six hundred forty-four thousand, eight hundred.