40768406189821132800
40,768,406,189,821,132,800 is an even composite number composed of five prime numbers multiplied together.
40768406189821132800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred ninety-two divisors.
Prime factorization of 40768406189821132800:
221 × 3 × 52 × 163 × 398772
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 163 × 39877 × 39877)See below for interesting mathematical facts about the number 40768406189821132800 from the Numbermatics database.
Names of 40768406189821132800
- Cardinal: 40768406189821132800 can be written as Forty quintillion, seven hundred sixty-eight quadrillion, four hundred six trillion, one hundred eighty-nine billion, eight hundred twenty-one million, one hundred thirty-two thousand, eight hundred.
Scientific notation
- Scientific notation: 4.07684061898211328 × 1019
Factors of 40768406189821132800
Divisors of 40768406189821132800
- Number of divisors d(n): 792
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 163 192 200 240 256 300 320 326 384 400 480 489 512 600 640 652 768 800 815 960 978 1024 1200 1280 1304 1536 1600 1630 1920 1956 2048 2400 2445 2560 2608 3072 3200 3260 3840 3912 4075 4096 4800 4890 5120 5216 6144 6400 6520 7680 7824 8150 8192 9600 9780 10240 10432 12225 12288 12800 13040 15360 15648 16300 16384 19200 19560 20480 20864 24450 24576 25600 26080 30720 31296 32600 32768 38400 39120 39877 40960 41728 48900 49152 51200 52160 61440 62592 65200 65536 76800 78240 79754 81920 83456 97800 98304 102400 104320 119631 122880 125184 130400 131072 153600 156480 159508 163840 166912 195600 196608 199385 204800 208640 239262 245760 250368 260800 262144 307200 312960 319016 327680 333824 391200 393216 398770 409600 417280 478524 491520 500736 521600 524288 598155 614400 625920 638032 655360 667648 782400 786432 797540 819200 834560 957048 983040 996925 1001472 1043200 1048576 1196310 1228800 1251840 1276064 1310720 1335296 1564800 1572864 1595080 1638400 1669120 1914096 1966080 1993850 2002944 2086400 2097152 2392620 2457600 2503680 2552128 2621440 2670592 2990775 3129600 3145728 3190160 3276800 3338240 3828192 3932160 3987700 4005888 4172800 4785240 4915200 5007360 5104256 5242880 5341184 5981550 6259200 6291456 6380320 6499951 6553600 6676480 7656384 7864320 7975400 8011776 8345600 9570480 9830400 10014720 10208512 10485760 10682368 11963100 12518400 12760640 12999902 13107200 13352960 15312768 15728640 15950800 16023552 16691200 19140960 19499853 19660800 20029440 20417024 21364736 23926200 25036800 25521280 25999804 26214400 26705920 30625536 31457280 31901600 32047104 32499755 33382400 38281920 38999706 39321600 40058880 40834048 42729472 47852400 50073600 51042560 51999608 52428800 53411840 61251072 63803200 64094208 64999510 66764800 76563840 77999412 78643200 80117760 81668096 85458944 95704800 97499265 100147200 102085120 103999216 106823680 122502144 127606400 128188416 129999020 133529600 153127680 155998824 157286400 160235520 162498775 163336192 170917888 191409600 194998530 200294400 204170240 207998432 213647360 245004288 255212800 256376832 259998040 267059200 306255360 311997648 320471040 324997550 326672384 341835776 382819200 389997060 400588800 408340480 415996864 427294720 487496325 490008576 510425600 512753664 519996080 534118400 612510720 623995296 640942080 649995100 653344768 765638400 779994120 801177600 816680960 831993728 854589440 974992650 980017152 1020851200 1025507328 1039992160 1068236800 1225021440 1247990592 1281884160 1299990200 1306689536 1531276800 1559988240 1590175129 1602355200 1633361920 1663987456 1709178880 1949985300 1960034304 2041702400 2079984320 2136473600 2450042880 2495981184 2563768320 2599980400 2613379072 3062553600 3119976480 3180350258 3204710400 3266723840 3327974912 3899970600 3920068608 4083404800 4159968640 4272947200 4770525387 4900085760 4991962368 5127536640 5199960800 5226758144 6125107200 6239952960 6360700516 6409420800 6533447680 6655949824 7799941200 7840137216 7950875645 8166809600 8319937280 8545894400 9541050774 9800171520 9983924736 10399921600 10453516288 12250214400 12479905920 12721401032 12818841600 13066895360 13311899648 15599882400 15680274432 15901751290 16333619200 16639874560 19082101548 19600343040 19967849472 20799843200 20907032576 23852626935 24500428800 24959811840 25442802064 25637683200 26133790720 26623799296 31199764800 31360548864 31803502580 32667238400 33279749120 38164203096 39200686080 39754378225 39935698944 41599686400 41814065152 47705253870 49000857600 49919623680 50885604128 52267581440 53247598592 62399529600 62721097728 63607005160 65334476800 66559498240 76328406192 78401372160 79508756450 79871397888 83199372800 83628130304 95410507740 98001715200 99839247360 101771208256 104535162880 106495197184 119263134675 124799059200 125442195456 127214010320 130668953600 133118996480 152656812384 156802744320 159017512900 159742795776 166398745600 190821015480 196003430400 199678494720 203542416512 209070325760 212990394368 238526269350 249598118400 250884390912 254428020640 259198546027 261337907200 266237992960 305313624768 313605488640 318035025800 319485591552 332797491200 381642030960 392006860800 399356989440 407084833024 418140651520 425980788736 477052538700 499196236800 508856041280 518397092054 522675814400 532475985920 610627249536 627210977280 636070051600 638971183104 665594982400 763284061920 777595638081 784013721600 798713978880 814169666048 851961577472 954105077400 998392473600 1017712082560 1036794184108 1045351628800 1064951971840 1221254499072 1254421954560 1272140103200 1277942366208 1295992730135 1331189964800 1526568123840 1555191276162 1568027443200 1597427957760 1628339332096 1703923154944 1908210154800 1996784947200 2035424165120 2073588368216 2090703257600 2129903943680 2442508998144 2544280206400 2555884732416 2591985460270 2662379929600 3053136247680 3110382552324 3136054886400 3194855915520 3256678664192 3407846309888 3816420309600 3887978190405 3993569894400 4070848330240 4147176736432 4259807887360 4885017996288 5088560412800 5111769464832 5183970920540 5324759859200 6106272495360 6220765104648 6272109772800 6389711831040 6479963650675 6513357328384 6815692619776 7632840619200 7775956380810 7987139788800 8141696660480 8294353472864 8519615774720 9770035992576 10177120825600 10223538929664 10367941841080 10649519718400 12212544990720 12441530209296 12779423662080 12959927301350 13026714656768 13631385239552 15265681238400 15551912761620 15974279577600 16283393320960 16588706945728 17039231549440 19439890952025 19540071985152 20354241651200 20447077859328 20735883682160 21299039436800 24425089981440 24883060418592 25558847324160 25919854602700 26053429313536 30531362476800 31103825523240 31948559155200 32566786641920 33177413891456 34078463098880 38879781904050 39080143970304 40708483302400 40894155718656 41471767364320 42598078873600 48850179962880 49766120837184 51117694648320 51839709205400 52106858627072 61062724953600 62207651046480 63897118310400 65133573283840 66354827782912 68156926197760 77759563808100 78160287940608 81416966604800 82943534728640 85196157747200 97700359925760 99532241674368 102235389296640 103679418410800 104213717254144 122125449907200 124415302092960 127794236620800 130267146567680 132709655565824 155519127616200 156320575881216 162833933209600 165887069457280 170392315494400 195400719851520 199064483348736 204470778593280 207358836821600 208427434508288 244250899814400 248830604185920 255588473241600 260534293135360 265419311131648 311038255232400 312641151762432 325667866419200 331774138914560 340784630988800 390801439703040 398128966697472 414717673643200 416854869016576 488501799628800 497661208371840 511176946483200 521068586270720 530838622263296 622076510464800 625282303524864 651335732838400 663548277829120 781602879406080 796257933394944 829435347286400 833709738033152 977003599257600 995322416743680 1022353892966400 1042137172541440 1061677244526592 1244153020929600 1250564607049728 1302671465676800 1327096555658240 1563205758812160 1592515866789888 1658870694572800 1667419476066304 1954007198515200 1990644833487360 2084274345082880 2123354489053184 2488306041859200 2501129214099456 2605342931353600 2654193111316480 3126411517624320 3185031733579776 3317741389145600 3334838952132608 3908014397030400 3981289666974720 4168548690165760 4246708978106368 4976612083718400 5002258428198912 5210685862707200 5308386222632960 6252823035248640 6370063467159552 6635482778291200 7816028794060800 7962579333949440 8337097380331520 8493417956212736 9953224167436800 10004516856397824 10421371725414400 10616772445265920 12505646070497280 12740126934319104 13270965556582400 15632057588121600 15925158667898880 16674194760663040 16986835912425472 19906448334873600 20842743450828800 21233544890531840 25011292140994560 25480253868638208 26541931113164800 31264115176243200 31850317335797760 33973671824850944 39812896669747200 41685486901657600 42467089781063680 50022584281989120 50960507737276416 53083862226329600 62528230352486400 63700634671595520 67947343649701888 79625793339494400 83370973803315200 84934179562127360 101921015474552832 106167724452659200 125056460704972800 127401269343191040 135894687299403776 159251586678988800 169868359124254720 203842030949105664 212335448905318400 250112921409945600 254802538686382080 271789374598807552 318503173357977600 339736718248509440 407684061898211328 424670897810636800 509605077372764160 543578749197615104 637006346715955200 679473436497018880 815368123796422656 849341795621273600 1019210154745528320 1274012693431910400 1358946872994037760 1630736247592845312 1698683591242547200 2038420309491056640 2548025386863820800 2717893745988075520 3397367182485094400 4076840618982113280 5096050773727641600 6794734364970188800 8153681237964226560 10192101547455283200 13589468729940377600 20384203094910566400 40768406189821132800
- Sum of all divisors σ(n): 135637938931136140656
- Sum of proper divisors (its aliquot sum) s(n): 94869532741315007856
- 40768406189821132800 is an abundant number, because the sum of its proper divisors (94869532741315007856) is greater than itself. Its abundance is 54101126551493875056
Bases of 40768406189821132800
- Binary: 1000110101110001100111100101101101111010110010000000000000000000002
- Hexadecimal: 0x235C6796DEB200000
- Base-36: 8LQM1V6A4P7UO
Squares and roots of 40768406189821132800
- 40768406189821132800 squared (407684061898211328002) is 1662062943258246054772696057475235840000
- 40768406189821132800 cubed (407684061898211328003) is 67759657183801808683053899643833761810914215095959552000000
-
The
square root of 40768406189821132800 is 6385014188.6937990421 -
The
cube root of 40768406189821132800 is 3441712.4099448535
Scales and comparisons
How big is 40768406189821132800?- 40,768,406,189,821,132,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 40,768,406,189,821,132,800 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 40768406189821132800 cubic inches would be around 286809.4 feet tall.
Recreational maths with 40768406189821132800
- 40768406189821132800 backwards is 00823112898160486704
- The number of decimal digits it has is: 20
- The sum of 40768406189821132800's digits is 78
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 40768406189821132800 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
APA style:
Numbermatics. (2024). Number 40768406189821132800 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/40768406189821132800/
Chicago style:
Numbermatics. 2024. "Number 40768406189821132800 - Facts about the integer". https://numbermatics.com/n/40768406189821132800/
The information we have on file for 40768406189821132800 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 40768406189821132800, math, Factors of 40768406189821132800, curriculum, school, college, exams, university, Prime factorization of 40768406189821132800, STEM, science, technology, engineering, physics, economics, calculator, forty quintillion, seven hundred sixty-eight quadrillion, four hundred six trillion, one hundred eighty-nine billion, eight hundred twenty-one million, one hundred thirty-two thousand, eight hundred.