40938226456473216
40,938,226,456,473,216 is an even composite number composed of four prime numbers multiplied together.
40938226456473216 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 40938226456473216:
27 × 38 × 133 × 2813
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 13 × 13 × 281 × 281 × 281)See below for interesting mathematical facts about the number 40938226456473216 from the Numbermatics database.
Names of 40938226456473216
- Cardinal: 40938226456473216 can be written as Forty quadrillion, nine hundred thirty-eight trillion, two hundred twenty-six billion, four hundred fifty-six million, four hundred seventy-three thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 4.0938226456473216 × 1016
Factors of 40938226456473216
Divisors of 40938226456473216
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 128 144 156 162 169 192 208 216 234 243 281 288 312 324 338 351 384 416 432 468 486 507 562 576 624 648 676 702 729 832 843 864 936 972 1014 1053 1124 1152 1248 1296 1352 1404 1458 1521 1664 1686 1728 1872 1944 2028 2106 2187 2197 2248 2496 2529 2592 2704 2808 2916 3042 3159 3372 3456 3653 3744 3888 4056 4212 4374 4394 4496 4563 4992 5058 5184 5408 5616 5832 6084 6318 6561 6591 6744 7306 7488 7587 7776 8112 8424 8748 8788 8992 9126 9477 10116 10368 10816 10959 11232 11664 12168 12636 13122 13182 13488 13689 14612 14976 15174 15552 16224 16848 17496 17576 17984 18252 18954 19773 20232 21632 21918 22464 22761 23328 24336 25272 26244 26364 26976 27378 28431 29224 30348 31104 32448 32877 33696 34992 35152 35968 36504 37908 39546 40464 41067 43836 44928 45522 46656 47489 48672 50544 52488 52728 53952 54756 56862 58448 59319 60696 64896 65754 67392 68283 69984 70304 73008 75816 78961 79092 80928 82134 85293 87672 91044 93312 94978 97344 98631 101088 104976 105456 107904 109512 113724 116896 118638 121392 123201 131508 134784 136566 139968 140608 142467 146016 151632 157922 158184 161856 164268 170586 175344 177957 182088 189956 194688 197262 202176 204849 209952 210912 219024 227448 233792 236883 237276 242784 246402 263016 273132 279936 281216 284934 292032 295893 303264 315844 316368 323712 328536 341172 350688 355914 364176 369603 379912 394524 404352 409698 419904 421824 427401 438048 454896 467584 473766 474552 485568 492804 526032 533871 546264 569868 584064 591786 606528 614547 617357 631688 632736 657072 682344 701376 710649 711828 728352 739206 759824 789048 819396 839808 843648 854802 876096 887679 909792 947532 949104 971136 985608 1026493 1052064 1067742 1092528 1108809 1139736 1183572 1213056 1229094 1234714 1263376 1265472 1282203 1314144 1364688 1402752 1421298 1423656 1456704 1478412 1519648 1578096 1601613 1638792 1709604 1752192 1775358 1819584 1843641 1852071 1895064 1898208 1971216 2052986 2104128 2131947 2135484 2185056 2217618 2279472 2367144 2458188 2469428 2526752 2530944 2564406 2628288 2663037 2729376 2842596 2847312 2913408 2956824 3039296 3079479 3156192 3203226 3277584 3419208 3550716 3639168 3687282 3704142 3790128 3796416 3846609 3942432 4105972 4208256 4263894 4270968 4370112 4435236 4558944 4734288 4804839 4916376 4938856 5053504 5128812 5256576 5326074 5458752 5556213 5685192 5694624 5913648 6078592 6158958 6312384 6395841 6406452 6555168 6838416 7101432 7374564 7408284 7580256 7592832 7693218 7884864 7989111 8211944 8527788 8541936 8740224 8870472 9117888 9238437 9468576 9609678 9832752 9877712 10107008 10257624 10652148 10917504 11112426 11370384 11389248 11539827 11827296 12317916 12624768 12791682 12812904 13110336 13344409 13676832 14202864 14414517 14749128 14816568 15160512 15386436 15769728 15978222 16423888 16668639 17055576 17083872 17740944 18235776 18476874 18937152 19187523 19219356 19665504 19755424 20515248 21304296 22188041 22224852 22740768 22778496 23079654 23654592 23967333 24635832 25583364 25625808 26220672 26688818 27353664 27715311 28405728 28829034 29498256 29633136 30321024 30772872 31956444 32847776 33337278 34111152 34167744 34619481 35481888 36953748 37874304 38375046 38438712 39331008 39510848 40033227 41030496 42608592 44376082 44449704 45481536 46159308 47309184 47934666 49271664 50005917 51166728 51251616 53377636 54707328 55430622 56811456 57562569 57658068 58996512 59266272 61545744 63912888 65695552 66564123 66674556 68222304 68335488 69238962 70963776 73907496 76750092 76877424 78662016 79021696 80066454 82060992 83145933 85217184 88752164 88899408 90963072 92318616 95869332 98543328 100011834 102333456 102503232 103858443 106755272 110861244 113622912 115125138 115316136 117993024 118532544 120099681 123091488 127825776 131391104 133128246 133349112 136444608 138477924 141927552 147814992 150017751 153500184 153754848 160132908 164121984 166291866 170434368 172687707 173477317 177504328 177798816 184637232 191738664 197086656 199692369 200023668 204666912 205006464 207716886 213510544 221722488 230250276 230632272 235986048 237065088 240199362 246182976 249437799 255651552 266256492 266698224 272889216 276955848 288444533 295629984 300035502 307000368 307509696 311575329 320265816 332583732 340868736 345375414 346954634 355008656 355597632 360299043 369274464 383477328 394173312 399384738 400047336 409333824 415433772 427021088 443444976 450053253 460500552 461264544 480398724 492365952 498875598 511303104 518063121 520431951 532512984 533396448 553911696 576889066 591259968 599077107 600071004 614000736 615019392 623150658 640531632 665167464 690750828 693909268 710017312 711195264 720598086 738548928 748313397 766954656 798769476 800094672 818667648 830867544 854042176 865333599 886889952 900106506 921001104 922529088 960797448 997751196 1022606208 1036126242 1040863902 1065025968 1066792896 1080897129 1107823392 1153778132 1182519936 1198154214 1200142008 1228001472 1246301316 1281063264 1330334928 1350159759 1381501656 1387818536 1420034624 1441196172 1477097856 1496626794 1533909312 1561295853 1597538952 1600189344 1661735088 1708084352 1730667198 1773779904 1797231321 1800213012 1842002208 1845058176 1921594896 1995502392 2072252484 2081727804 2130051936 2133585792 2161794258 2215646784 2244940191 2307556264 2396308428 2400284016 2456002944 2492602632 2562126528 2596000797 2660669856 2700319518 2763003312 2775637072 2840069248 2882392344 2993253588 3067818624 3122591706 3195077904 3200378688 3242691387 3323470176 3461334396 3547559808 3594462642 3600426024 3684004416 3749778929 3843189792 3991004784 4050479277 4144504968 4163455608 4260103872 4323588516 4431293568 4489880382 4615112528 4683887559 4792616856 4800568032 4985205264 5124253056 5192001594 5321339712 5391693963 5400639036 5526006624 5551274144 5764784688 5986507176 6245183412 6390155808 6400757376 6485382774 6646940352 6734820573 6922668792 7188925284 7200852048 7368008832 7499557858 7686379584 7788002391 7982009568 8100958554 8289009936 8326911216 8520207744 8647177032 8979760764 9230225056 9367775118 9585233712 9601136064 9728074161 9970410528 10384003188 10642679424 10783387926 10801278072 11052013248 11102548288 11249336787 11529569376 11973014352 12490366824 12780311616 12970765548 13293880704 13469641146 13845337584 14051662677 14377850568 14401704096 14999115716 15372759168 15576004782 15964019136 16175081889 16201917108 16578019872 16653822432 17294354064 17959521528 18460450112 18735550236 19170467424 19202272128 19456148322 19940821056 20768006376 21566775852 21602556144 22104026496 22205096576 22498673574 23059138752 23364007173 23946028704 24980733648 25560623232 25941531096 26939282292 27690675168 28103325354 28755701136 28803408192 29184222483 29998231432 31152009564 31928038272 32350163778 32403834216 33156039744 33307644864 33748010361 34588708128 35919043056 36920900224 37471100472 38340934848 38912296644 39881642112 41536012752 42154988031 43133551704 43205112288 44997347148 46118277504 46728014346 47892057408 48525245667 48747126077 49961467296 51883062192 53878564584 55381350336 56206650708 57511402272 57606816384 58368444966 59996462864 62304019128 64700327556 64807668432 66312079488 66615289728 67496020722 69177416256 70092021519 71838086112 74942200944 76681869696 77824593288 83072025504 84309976062 86267103408 86410224576 87552667449 89994694296 93456028692 95784114816 97050491334 97494252154 99922934592 101244031083 103766124384 107757129168 110762700672 112413301416 115022804544 116736889932 119992925728 124608038256 126464964093 129400655112 129615336864 134992041444 138354832512 140184043038 143676172224 145575737001 146241378231 149884401888 155649186576 166144051008 168619952124 172534206816 172820449152 175105334898 179989388592 186912057384 194100982668 194988504308 199845869184 202488062166 207532248768 210276064557 215514258336 224826602832 230045609088 233473779864 239985851456 249216076512 252929928186 258801310224 259230673728 269984082888 280368086076 287352344448 291151474002 292482756462 299768803776 303732093249 311298373152 332288102016 337239904248 345068413632 350210669796 359978777184 373824114768 379394892279 388201965336 389977008616 404976124332 415064497536 420552129114 431028516672 438724134693 449653205664 466947559728 479971702912 498432153024 505859856372 517602620448 518461347456 539968165776 560736172152 582302948004 584965512924 599537607552 607464186498 622596746304 630828193671 674479808496 690136827264 700421339592 719957554368 747648229536 758789784558 776403930672 779954017232 809952248664 841104258228 862057033344 877448269386 899306411328 911196279747 933895119456 996864306048 1011719712744 1035205240896 1079936331552 1121472344304 1138184676837 1164605896008 1169931025848 1214928372996 1245193492608 1261656387342 1316172404079 1348959616992 1400842679184 1439915108736 1495296459072 1517579569116 1552807861344 1559908034464 1619904497328 1682208516456 1754896538772 1798612822656 1822392559494 1867790238912 1892484581013 2023439425488 2070410481792 2159872663104 2242944688608 2276369353674 2329211792016 2339862051696 2429856745992 2523312774684 2632344808158 2697919233984 2733588839241 2801685358368 2990592918144 3035159138232 3105615722688 3119816068928 3239808994656 3364417032912 3509793077544 3644785118988 3735580477824 3784969162026 3948517212237 4046878850976 4319745326208 4485889377216 4552738707348 4658423584032 4679724103392 4859713491984 5046625549368 5264689616316 5395838467968 5467177678482 5603370716736 6070318276464 6211231445376 6239632137856 6479617989312 6728834065824 7019586155088 7289570237976 7569938324052 7897034424474 8093757701952 8200766517723 8971778754432 9105477414696 9316847168064 9359448206784 9719426983968 10093251098736 10529379232632 10934355356964 11206741433472 11845551636711 12140636552928 12959235978624 13457668131648 14039172310176 14579140475952 15139876648104 15794068848948 16187515403904 16401533035446 18210954829392 18633694336128 18718896413568 19438853967936 20186502197472 21058758465264 21868710713928 23691103273422 24281273105856 24602299553169 26915336263296 28078344620352 29158280951904 30279753296208 31588137697896 32803066070892 35536654910133 36421909658784 38877707935872 40373004394944 42117516930528 43737421427856 47382206546844 48562546211712 49204599106338 56156689240704 58316561903808 60559506592416 63176275395792 65606132141784 71073309820266 72843819317568 80746008789888 84235033861056 87474842855712 94764413093688 98409198212676 106609964730399 116633123807616 121119013184832 126352550791584 131212264283568 142146619640532 145687638635136 168470067722112 174949685711424 189528826187376 196818396425352 213219929460798 242238026369664 252705101583168 262424528567136 284293239281064 319829894191197 349899371422848 379057652374752 393636792850704 426439858921596 505410203166336 524849057134272 568586478562128 639659788382394 758115304749504 787273585701408 852879717843192 1049698114268544 1137172957124256 1279319576764788 1516230609499008 1574547171402816 1705759435686384 2274345914248512 2558639153529576 3149094342805632 3411518871372768 4548691828497024 5117278307059152 6823037742745536 10234556614118304 13646075485491072 20469113228236608 40938226456473216
- Sum of all divisors σ(n): 132991418265123600
- Sum of proper divisors (its aliquot sum) s(n): 92053191808650384
- 40938226456473216 is an abundant number, because the sum of its proper divisors (92053191808650384) is greater than itself. Its abundance is 51114965352177168
Bases of 40938226456473216
- Binary: 100100010111000100011001100111011010110000101110100000002
- Hexadecimal: 0x9171199DAC2E80
- Base-36: B73E1LQI000
Squares and roots of 40938226456473216
- 40938226456473216 squared (409382264564732162) is 1675938385401483567477428925382656
- 40938226456473216 cubed (409382264564732163) is 68609945148662019622739890463827296789101014941696
-
The
square root of 40938226456473216 is 202331970.9202508015 -
The
cube root of 40938226456473216 is 344648.4592696235
Scales and comparisons
How big is 40938226456473216?- 40,938,226,456,473,216 seconds is equal to 1,301,708,971 years, 3 weeks, 3 days, 10 hours, 33 minutes, 36 seconds.
-
To count from 1 to 40,938,226,456,473,216 would take you about three billion, nine hundred five million, one hundred twenty-six thousand, nine hundred thirteen 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 40938226456473216 cubic inches would be around 28720.7 feet tall.
Recreational maths with 40938226456473216
- 40938226456473216 backwards is 61237465462283904
- 40938226456473216 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 40938226456473216's digits is 72
- More coming soon!
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The information we have on file for 40938226456473216 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 40938226456473216, math, Factors of 40938226456473216, curriculum, school, college, exams, university, Prime factorization of 40938226456473216, STEM, science, technology, engineering, physics, economics, calculator, forty quadrillion, nine hundred thirty-eight trillion, two hundred twenty-six billion, four hundred fifty-six million, four hundred seventy-three thousand, two hundred sixteen.