40766945786641536

Names of 40766945786641536

• Cardinal: 40766945786641536 can be written as Forty quadrillion, seven hundred sixty-six trillion, nine hundred forty-five billion, seven hundred eighty-six million, six hundred forty-one thousand, five hundred thirty-six.

Scientific notation

• Scientific notation: 4.0766945786641536 × 10¹⁶

Factors of 40766945786641536

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 6365

Divisors of 40766945786641536

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 41 42 44 48 49 56 64 66 77 82 84 88 96 98 112 121 123 128 132 147 154 164 168 176 192 196 224 231 242 246 264 287 294 308 328 336 352 363 384 392 448 451 462 484 492 528 539 574 588 616 656 672 704 726 784 847 861 896 902 924 968 984 1056 1078 1148 1176 1232 1312 1331 1344 1353 1408 1452 1568 1617 1694 1722 1804 1848 1936 1968 2009 2112 2156 2296 2352 2464 2541 2624 2662 2688 2706 2904 3136 3157 3234 3388 3444 3608 3696 3872 3936 3993 4018 4224 4312 4592 4704 4928 4961 5082 5248 5324 5412 5808 5929 6027 6272 6301 6314 6468 6776 6888 7216 7392 7744 7872 7986 8036 8624 9184 9317 9408 9471 9856 9922 10164 10648 10824 11616 11858 12054 12602 12628 12936 13552 13776 14432 14784 14883 15488 15744 15972 16072 17248 17787 18368 18634 18816 18903 18942 19844 20328 21296 21648 22099 23232 23716 24108 25204 25256 25872 27104 27552 27951 28864 29568 29766 31944 32144 34496 34727 35574 36736 37268 37806 37884 39688 40656 42592 43296 44107 44198 46464 47432 48216 50408 50512 51744 54208 54571 55104 55902 57728 59532 63888 64288 65219 66297 68992 69311 69454 71148 74536 75612 75768 79376 81312 85184 86592 88214 88396 94864 96432 100816 101024 103488 104181 108416 109142 110208 111804 119064 127776 128576 130438 132321 132594 138622 138908 142296 149072 151224 151536 158752 162624 163713 170368 173184 176428 176792 189728 192864 195657 201632 202048 206976 207933 208362 218284 223608 238128 243089 255552 257152 258341 260876 264642 265188 277244 277816 284592 298144 302448 303072 308749 317504 325248 327426 352856 353584 379456 381997 385728 391314 403264 404096 415866 416724 436568 447216 476256 485177 486178 511104 516682 521752 529284 530376 554488 555632 569184 596288 604896 606144 617498 635008 654852 705712 707168 729267 758912 762421 763994 771456 775023 782628 806528 831732 833448 873136 894432 926247 952512 970354 972356 1033364 1043504 1058568 1060752 1108976 1111264 1138368 1145991 1192576 1209792 1212288 1234996 1309704 1411424 1414336 1455531 1458534 1524842 1527988 1550046 1565256 1663464 1666896 1746272 1788864 1808387 1852494 1905024 1940708 1944712 2066728 2087008 2117136 2121504 2217952 2222528 2276736 2287263 2291982 2419584 2469992 2619408 2673979 2822848 2828672 2841751 2911062 2917068 3049684 3055976 3100092 3130512 3326928 3333792 3396239 3492544 3577728 3616774 3704988 3881416 3889424 4133456 4174016 4234272 4243008 4435904 4445056 4574526 4583964 4939984 5238816 5336947 5347958 5425161 5645696 5683502 5822124 5834136 6099368 6111952 6200184 6261024 6653856 6667584 6792478 6985088 7233548 7409976 7762832 7778848 8021937 8266912 8348032 8386631 8468544 8486016 8525253 8871808 9149052 9167928 9879968 10188717 10477632 10673894 10695916 10850322 11367004 11644248 11668272 12198736 12223904 12400368 12522048 12658709 13307712 13335168 13584956 14467096 14819952 15525664 15557696 16010841 16043874 16533824 16773262 16937088 17050506 18298104 18335856 19759936 19892257 20377434 20955264 21347788 21391832 21700644 22734008 23288496 23336544 24397472 24447808 24800736 25044096 25159893 25317418 26615424 27169912 28934192 29639904 31051328 31115392 31259261 32021682 32087748 33067648 33546524 34101012 36596208 36671712 37358629 37976127 39519872 39702601 39784514 40754868 42695576 42783664 43401288 45468016 46576992 46673088 48794944 48895616 49601472 50319786 50634836 54339824 57868384 58706417 59279808 59676771 62102656 62518522 64043364 64175496 67093048 68202024 73192416 73343424 74717258 75952254 79405202 79569028 81509736 85391152 85567328 86802576 90936032 93153984 93346176 93777783 97589888 99202944 100639572 101269672 108679648 112075887 115736768 117412834 118559616 119107803 119353542 125037044 128086728 128350992 134186096 136404048 139245799 146384832 146686848 149434516 151904508 158810404 159138056 163019472 170782304 171134656 173605152 176119251 181872064 186307968 187555566 201279144 202539344 217359296 218814827 224151774 231473536 234825668 238215606 238707084 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16848741679 17786765248 17823462272 17905873051 18342601662 18380445468 19216058884 19255704776 19533679692 19725356112 20962973328 21006223392 21399701939 22006519744 22543264128 22789292974 23345129388 24456802216 24507260624 26044906256 26300474816 26680147872 26735193408 27950631104 28008297856 28824088326 28883557164 31126839184 33009779616 33628103047 33697483358 34183939461 35573530496 35811746102 36685203324 36760890936 38432117768 38511409552 39067359384 39450712224 41925946656 42012446784 42799403878 44013039488 45578585948 46690258776 48913604432 49014521248 50546225037 52089812512 52600949632 52844161931 53360295744 53470386816 53717619153 55901262208 57648176652 57767114328 62253678368 64199105817 66019559232 67256206094 67394966716 68367878922 71623492204 73370406648 73521781872 76864235536 77022819104 78134718768 78901424448 79762525409 83851893312 84024893568 85598807756 91157171896 93380517552 97827208864 98029042496 100884309141 101092450074 104179625024 105688323862 106720591488 107435238306 115296353304 115534228656 124507356736 125341111357 128398211634 132039118464 134512412188 134789933432 136735757844 143246984408 146740813296 147043563744 153728471072 154045638208 156269437536 157802848896 158532485793 159525050818 167703786624 171197615512 182314343792 186761035104 195654417728 196058084992 196964603561 201768618282 202184900148 208359250048 211376647724 214870476612 230592706608 231068457312 235396721329 239287576227 249014713472 250682222714 256796423268 269024824376 269579866864 273471515688 286493968816 293481626592 294087127488 307456942144 308091276416 312538875072 317064971586 319050101636 342395231024 364628687584 369909133517 373522070208 376023334071 391308835456 393929207122 403537236564 404369800296 422753295448 429740953224 461185413216 462136914624 470793442658 478575152454 501364445428 513592846536 538049648752 539159733728 546943031376 572987937632 586963253184 588174254976 590893810683 614913884288 625077750144 634129943172 638100203272 684790462048 706190163987 729257375168 739818267034 747044140416 752046668142 787858414244 807074473128 808739600592 845506590896 859481906448 877387779499 922370826432 924273829248 941586885316 957150304908 1002728890856 1027185693072 1076099297504 1078319467456 1093886062752 1109727400551 1145975875264 1173926506368 1181787621366 1268259886344 1276200406544 1369580924096 1378752224927 1412380327974 1458514750336 1479636534068 1504093336284 1575716828488 1614148946256 1617479201184 1691013181792 1718963812896 1754775558998 1844741652864 1883173770632 1914300609816 2005457781712 2054371386144 2152198595008 2156638934912 2166610639171 2187772125504 2219454801102 2291951750528 2363575242732 2536519772688 2552400813088 2589363934619 2632163338497 2739161848192 2757504449854 2824760655948 2959273068136 3008186672568 3151433656976 3228297892512 3234958402368 3382026363584 3437927625792 3509551117996 3766347541264 3828601219632 4010915563424 4108742772288 4136256674781 4304397190016 4333221278342 4375544251008 4438909602204 4727150485464 5073039545376 5104801626176 5178727869238 5264326676994 5515008899708 5649521311896 5918546136272 6016373345136 6302867313952 6456595785024 6469916804736 6499831917513 6764052727168 6875855251584 7019102235992 7532695082528 7657202439264 7768091803857 8021831126848 8217485544576 8272513349562 8666442556684 8877819204408 9454300970928 9651265574489 10146079090752 10209603252352 10357455738476 10528653353988 11030017799416 11299042623792 11837092272544 12032746690272 12605734627904 12913191570048 12999663835026 14038204471984 15065390165056 15166274474197 15314404878528 15536183607714 16043662253696 16545026699124 17332885113368 17755638408816 18908601941856 19302531148978 20292158181504 20714911476952 21057306707976 22060035598832 22598085247584 23674184545088 24065493380544 25211469255808 25999327670052 28076408943968 28953796723467 30130780330112 30332548948394 30628809757056 31072367215428 33090053398248 34665770226736 35511276817632 37817203883712 38605062297956 41429822953904 42114613415952 44120071197664 45196170495168 45498823422591 47348369090176 48130986761088 51998655340104 56152817887936 57907593446934 60665097896788 62144734430856 66180106796496 69331540453472 71022553635264 75634407767424 77210124595912 82859645907808 84229226831904 88240142395328 90392340990336 90997646845182 103997310680208 106163921319379 112305635775872 115815186893868 121330195793576 124289468861712 132360213592992 138663080906944 142045107270528 154420249191824 165719291815616 168458453663808 176480284790656 181995293690364 207994621360416 212327842638758 231630373787736 242660391587152 248578937723424 264720427185984 277326161813888 308840498383648 318491763958137 331438583631232 336916907327616 363990587380728 415989242720832 424655685277516 463260747575472 485320783174304 497157875446848 529440854371968 617680996767296 636983527916274 727981174761456 831978485441664 849311370555032 926521495150944 970641566348608 994315750893696 1235361993534592 1273967055832548 1455962349522912 1698622741110064 1853042990301888 1941283132697216 2547934111665096 2911924699045824 3397245482220128 3706085980603776 5095868223330192 5823849398091648 6794490964440256 10191736446660384 13588981928880512 20383472893320768 40766945786641536
• Sum of all divisors σ(n): 141955846548384960
• Sum of proper divisors (its aliquot sum) s(n): 101188900761743424
• 40766945786641536 is an abundant number, because the sum of its proper divisors (101188900761743424) is greater than itself. Its abundance is 60421954975101888

Bases of 40766945786641536

• Binary: 10010000110101010101001000111010001100001011110010000000₂
• Hexadecimal: 0x90D5523A30BC80
• Base-36: B5EOCCM0NEO

Squares and roots of 40766945786641536

• 40766945786641536 squared (40766945786641536²) is 1661943868770970084459946160439296
• 40766945786641536 cubed (40766945786641536³) is 67752375598627432705602319275211733995990240198656
• The square root of 40766945786641536 is 201908260.8182278807
• The cube root of 40766945786641536 is 344167.1313188527

Scales and comparisons

• 40,766,945,786,641,536 seconds is equal to 1,296,262,775 years, 29 weeks, 5 days, 8 hours, 25 minutes, 36 seconds.
• To count from 1 to 40,766,945,786,641,536 would take you about three billion, eight hundred eighty-eight million, seven hundred eighty-eight thousand, three hundred twenty-six 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 40766945786641536 cubic inches would be around 28680.6 feet tall.

Recreational maths with 40766945786641536

• 40766945786641536 backwards is 63514668754966704
• The number of decimal digits it has is: 17
• The sum of 40766945786641536's digits is 87
• More coming soon!