42225827302656000
42,225,827,302,656,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 42225827302656000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1152 divisors.
42225827302656000 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 42225827302656000:
211 × 33 × 53 × 312 × 6356983
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 31 × 31 × 6356983)See below for interesting mathematical facts about the number 42225827302656000 from the Numbermatics database.
Names of 42225827302656000
- Cardinal: 42225827302656000 can be written as Forty-two quadrillion, two hundred twenty-five trillion, eight hundred twenty-seven billion, three hundred two million, six hundred fifty-six thousand.
Scientific notation
- Scientific notation: 4.2225827302656 × 1016
Factors of 42225827302656000
Divisors of 42225827302656000
- 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 27 30 31 32 36 40 45 48 50 54 60 62 64 72 75 80 90 93 96 100 108 120 124 125 128 135 144 150 155 160 180 186 192 200 216 225 240 248 250 256 270 279 288 300 310 320 360 372 375 384 400 432 450 465 480 496 500 512 540 558 576 600 620 640 675 720 744 750 768 775 800 837 864 900 930 960 961 992 1000 1024 1080 1116 1125 1152 1200 1240 1280 1350 1395 1440 1488 1500 1536 1550 1600 1674 1728 1800 1860 1920 1922 1984 2000 2048 2160 2232 2250 2304 2325 2400 2480 2560 2700 2790 2880 2883 2976 3000 3072 3100 3200 3348 3375 3456 3600 3720 3840 3844 3875 3968 4000 4185 4320 4464 4500 4608 4650 4800 4805 4960 5120 5400 5580 5760 5766 5952 6000 6144 6200 6400 6696 6750 6912 6975 7200 7440 7680 7688 7750 7936 8000 8370 8640 8649 8928 9000 9216 9300 9600 9610 9920 10240 10800 11160 11520 11532 11625 11904 12000 12400 12800 13392 13500 13824 13950 14400 14415 14880 15360 15376 15500 15872 16000 16740 17280 17298 17856 18000 18432 18600 19200 19220 19840 20925 21600 22320 23040 23064 23250 23808 24000 24025 24800 25600 25947 26784 27000 27648 27900 28800 28830 29760 30720 30752 31000 31744 32000 33480 34560 34596 34875 35712 36000 37200 38400 38440 39680 41850 43200 43245 44640 46080 46128 46500 47616 48000 48050 49600 51200 51894 53568 54000 55296 55800 57600 57660 59520 61504 62000 63488 64000 66960 69120 69192 69750 71424 72000 72075 74400 76800 76880 79360 83700 86400 86490 89280 92160 92256 93000 95232 96000 96100 99200 103788 104625 107136 108000 111600 115200 115320 119040 120125 123008 124000 128000 129735 133920 138240 138384 139500 142848 144000 144150 148800 153600 153760 158720 167400 172800 172980 178560 184512 186000 190464 192000 192200 198400 207576 209250 214272 216000 216225 223200 230400 230640 238080 240250 246016 248000 256000 259470 267840 276480 276768 279000 285696 288000 288300 297600 307520 317440 334800 345600 345960 357120 360375 369024 372000 384000 384400 396800 415152 418500 428544 432000 432450 446400 460800 461280 476160 480500 492032 496000 518940 535680 553536 558000 571392 576000 576600 595200 615040 648675 669600 691200 691920 714240 720750 738048 744000 768000 768800 793600 830304 837000 857088 864000 864900 892800 922560 952320 961000 984064 992000 1037880 1071360 1081125 1107072 1116000 1152000 1153200 1190400 1230080 1297350 1339200 1382400 1383840 1428480 1441500 1476096 1488000 1537600 1587200 1660608 1674000 1714176 1728000 1729800 1785600 1845120 1922000 1968128 1984000 2075760 2142720 2162250 2214144 2232000 2304000 2306400 2380800 2460160 2594700 2678400 2767680 2856960 2883000 2952192 2976000 3075200 3243375 3321216 3348000 3456000 3459600 3571200 3690240 3844000 3968000 4151520 4285440 4324500 4428288 4464000 4612800 4761600 4920320 5189400 5356800 5535360 5766000 5904384 5952000 6150400 6356983 6486750 6642432 6696000 6912000 6919200 7142400 7380480 7688000 7936000 8303040 8570880 8649000 8856576 8928000 9225600 9840640 10378800 10713600 11070720 11532000 11904000 12300800 12713966 12973500 13284864 13392000 13838400 14284800 14760960 15376000 16606080 17298000 17713152 17856000 18451200 19070949 20757600 21427200 22141440 23064000 23808000 24601600 25427932 25947000 26569728 26784000 27676800 29521920 30752000 31784915 33212160 34596000 35712000 36902400 38141898 41515200 42854400 44282880 46128000 49203200 50855864 51894000 53139456 53568000 55353600 57212847 61504000 63569830 66424320 69192000 71424000 73804800 76283796 83030400 88565760 92256000 95354745 101711728 103788000 107136000 110707200 114425694 123008000 127139660 132848640 138384000 147609600 152567592 158924575 166060800 171638541 184512000 190709490 197066473 203423456 207576000 214272000 221414400 228851388 246016000 254279320 265697280 276768000 286064235 305135184 317849150 332121600 343277082 369024000 381418980 394132946 406846912 415152000 442828800 457702776 476773725 508558640 553536000 572128470 591199419 610270368 635698300 664243200 686554164 738048000 762837960 788265892 794622875 813693824 830304000 858192705 915405552 953547450 985332365 1017117280 1107072000 1144256940 1182398838 1220540736 1271396600 1328486400 1373108328 1430321175 1525675920 1576531784 1589245750 1627387648 1660608000 1716385410 1773598257 1830811104 1907094900 1970664730 2034234560 2214144000 2288513880 2364797676 2383868625 2441081472 2542793200 2746216656 2860642350 2955997095 3051351840 3153063568 3178491500 3254775296 3321216000 3432770820 3547196514 3661622208 3814189800 3941329460 4068469120 4290963525 4577027760 4729595352 4767737250 4882162944 4926661825 5085586400 5320794771 5492433312 5721284700 5911994190 6102703680 6109060663 6306127136 6356983000 6509550592 6642432000 6865541640 7094393028 7151605875 7323244416 7628379600 7882658920 8136938240 8581927050 8867991285 9154055520 9459190704 9535474500 9764325888 9853323650 10171172800 10641589542 10984866624 11442569400 11823988380 12205407360 12218121326 12612254272 12713966000 13019101184 13731083280 14188786056 14303211750 14646488832 14779985475 15256759200 15765317840 16273876480 17163854100 17735982570 18308111040 18327181989 18918381408 19070949000 19528651776 19706647300 20342345600 21283179084 21454817625 21969733248 22885138800 23647976760 24410814720 24436242652 24633309125 25224508544 25427932000 26603973855 27462166560 28377572112 28606423500 29292977664 29559970950 30513518400 30545303315 31530635680 32547752960 34327708200 35471965140 36616222080 36654363978 37836762816 38141898000 39057303552 39413294600 40684691200 42566358168 42909635250 43939466496 44339956425 45770277600 47295953520 48821629440 48872485304 49266618250 50449017088 50855864000 53207947710 54924333120 54981545967 56755144224 57212847000 58585955328 59119941900 61027036800 61090606630 63061271360 65095505920 68655416400 70943930280 73232444160 73308727956 73899927375 75673525632 76283796000 78826589200 81369382400 85132716336 85819270500 87878932992 88679912850 91540555200 91635909945 94591907040 97643258880 97744970608 98533236500 100898034176 101711728000 106415895420 109848666240 109963091934 113510288448 114425694000 117171910656 118239883800 122054073600 122181213260 126122542720 133019869275 137310832800 141887860560 146464888320 146617455912 147799854750 151347051264 152567592000 152726516575 157653178400 162738764800 164944637901 170265432672 171638541000 175757865984 177359825700 183081110400 183271819890 189183814080 195286517760 195489941216 197066473000 201796068352 203423456000 212831790840 219697332480 219926183868 221699782125 227020576896 228851388000 236479767600 244108147200 244362426520 252245085440 266039738550 274621665600 274907729835 283775721120 292929776640 293234911824 295599709500 302694102528 305135184000 305453033150 315306356800 325477529600 329889275802 340530865344 343277082000 351515731968 354719651400 366162220800 366543639780 378367628160 390979882432 394132946000 403592136704 406846912000 425663581680 439394664960 439852367736 443399564250 454041153792 457702776000 458179549725 472959535200 488216294400 488724853040 504490170880 532079477100 549243331200 549815459670 567551442240 585859553280 586469823648 591199419000 605388205056 610270368000 610906066300 630612713600 659778551604 665099346375 681061730688 686554164000 709439302800 732324441600 733087279560 756735256320 763632582875 781959764864 788265892000 813693824000 824723189505 851327163360 878789329920 879704735472 886799128500 908082307584 915405552000 916359099450 945919070400 976432588800 977449706080 1008980341760 1064158954200 1098486662400 1099630919340 1135102884480 1172939647296 1182398838000 1210776410112 1220540736000 1221812132600 1261225427200 1319557103208 1330198692750 1362123461376 1373108328000 1374538649175 1418878605600 1464648883200 1466174559120 1513470512640 1527265165750 1563919529728 1576531784000 1627387648000 1649446379010 1702654326720 1757578659840 1759409470944 1773598257000 1816164615168 1830811104000 1832718198900 1891838140800 1954899412160 2017960683520 2128317908400 2196973324800 2199261838680 2270205768960 2290897748625 2345879294592 2364797676000 2441081472000 2443624265200 2522450854400 2639114206416 2660397385500 2724246922752 2746216656000 2749077298350 2837757211200 2929297766400 2932349118240 3026941025280 3054530331500 3127839059456 3153063568000 3298892758020 3405308653440 3518818941888 3547196514000 3632329230336 3661622208000 3665436397800 3783676281600 3909798824320 4123615947525 4256635816800 4393946649600 4398523677360 4540411537920 4581795497250 4691758589184 4729595352000 4882162944000 4887248530400 5044901708800 5278228412832 5320794771000 5448493845504 5492433312000 5498154596700 5675514422400 5864698236480 6053882050560 6109060663000 6255678118912 6306127136000 6597785516040 6810617306880 6872693245875 7037637883776 7094393028000 7323244416000 7330872795600 7567352563200 7819597648640 8247231895050 8513271633600 8787893299200 8797047354720 9080823075840 9163590994500 9383517178368 9459190704000 9774497060800 10089803417600 10556456825664 10641589542000 10896987691008 10984866624000 10996309193400 11351028844800 11729396472960 12218121326000 12511356237824 12612254272000 13195571032080 13621234613760 13745386491750 14075275767552 14188786056000 14646488832000 14661745591200 15134705126400 15639195297280 16494463790100 17026543267200 17594094709440 18161646151680 18327181989000 18767034356736 18918381408000 19548994121600 20618079737625 21112913651328 21283179084000 21969733248000 21992618386800 22702057689600 23458792945920 24436242652000 25224508544000 26391142064160 27242469227520 27490772983500 28150551535104 28377572112000 29323491182400 30269410252800 31278390594560 32988927580200 34053086534400 35188189418880 36654363978000 37534068713472 37836762816000 39097988243200 41236159475250 42225827302656 42566358168000 43939466496000 43985236773600 45404115379200 46917585891840 48872485304000 50449017088000 52782284128320 54484938455040 54981545967000 56301103070208 56755144224000 58646982364800 62556781189120 65977855160400 68106173068800 70376378837760 73308727956000 75673525632000 78195976486400 82472318950500 84451654605312 85132716336000 87970473547200 90808230758400 93835171783680 97744970608000 105564568256640 109963091934000 112602206140416 113510288448000 117293964729600 131955710320800 136212346137600 140752757675520 146617455912000 151347051264000 156391952972800 164944637901000 168903309210624 170265432672000 175940947094400 187670343567360 195489941216000 211129136513280 219926183868000 227020576896000 234587929459200 263911420641600 272424692275200 281505515351040 293234911824000 312783905945600 329889275802000 337806618421248 340530865344000 351881894188800 390979882432000 422258273026560 439852367736000 454041153792000 469175858918400 527822841283200 563011030702080 586469823648000 659778551604000 681061730688000 703763788377600 781959764864000 844516546053120 879704735472000 938351717836800 1055645682566400 1172939647296000 1319557103208000 1362123461376000 1407527576755200 1563919529728000 1689033092106240 1759409470944000 2111291365132800 2345879294592000 2639114206416000 2815055153510400 3518818941888000 4222582730265600 4691758589184000 5278228412832000 7037637883776000 8445165460531200 10556456825664000 14075275767552000 21112913651328000 42225827302656000
- Sum of all divisors σ(n): 161301669569913600
- Sum of proper divisors (its aliquot sum) s(n): 119075842267257600
- 42225827302656000 is an abundant number, because the sum of its proper divisors (119075842267257600) is greater than itself. Its abundance is 76850014964601600
Bases of 42225827302656000
- Binary: 100101100000010000101010100011001011100011001000000000002
- Hexadecimal: 0x96042A8CB8C800
- Base-36: BJRT19LG5C0
Squares and roots of 42225827302656000
- 42225827302656000 squared (422258273026560002) is 1783020491393728884624654336000000
- 42225827302656000 cubed (422258273026560003) is 75289515346688434610324023231695254716416000000000
-
The
square root of 42225827302656000 is 205489238.8974566229 -
The
cube root of 42225827302656000 is 348224.5525851601
Scales and comparisons
How big is 42225827302656000?- 42,225,827,302,656,000 seconds is equal to 1,342,650,695 years, 8 weeks, 4 days.
-
To count from 1 to 42,225,827,302,656,000 would take you about four billion, twenty-seven million, nine hundred fifty-two thousand and eighty-five 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 42225827302656000 cubic inches would be around 29018.7 feet tall.
Recreational maths with 42225827302656000
- 42225827302656000 backwards is 00065620372852224
- 42225827302656000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42225827302656000's digits is 54
- More coming soon!
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"Number 42225827302656000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 May 2024.
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Numbermatics. (2024). Number 42225827302656000 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/42225827302656000/
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The information we have on file for 42225827302656000 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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