40426496312064768
40,426,496,312,064,768 is an even composite number composed of four prime numbers multiplied together.
What does the number 40426496312064768 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 972 divisors.
40426496312064768 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 40426496312064768:
28 × 311 × 732 × 4092
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 73 × 73 × 409 × 409)See below for interesting mathematical facts about the number 40426496312064768 from the Numbermatics database.
Names of 40426496312064768
- Cardinal: 40426496312064768 can be written as Forty quadrillion, four hundred twenty-six trillion, four hundred ninety-six billion, three hundred twelve million, sixty-four thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 4.0426496312064768 × 1016
Factors of 40426496312064768
Divisors of 40426496312064768
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 81 96 108 128 144 146 162 192 216 219 243 256 288 292 324 384 409 432 438 486 576 584 648 657 729 768 818 864 876 972 1152 1168 1227 1296 1314 1458 1636 1728 1752 1944 1971 2187 2304 2336 2454 2592 2628 2916 3272 3456 3504 3681 3888 3942 4374 4672 4908 5184 5256 5329 5832 5913 6544 6561 6912 7008 7362 7776 7884 8748 9344 9816 10368 10512 10658 11043 11664 11826 13088 13122 14016 14724 15552 15768 15987 17496 17739 18688 19632 19683 20736 21024 21316 22086 23328 23652 26176 26244 28032 29448 29857 31104 31536 31974 33129 34992 35478 39264 39366 42048 42632 44172 46656 47304 47961 52352 52488 53217 56064 58896 59049 59714 62208 63072 63948 66258 69984 70956 78528 78732 84096 85264 88344 89571 93312 94608 95922 99387 104704 104976 106434 117792 118098 119428 126144 127896 132516 139968 141912 143883 157056 157464 159651 167281 168192 170528 176688 177147 179142 186624 189216 191844 198774 209952 212868 235584 236196 238856 252288 255792 265032 268713 279936 283824 287766 298161 314112 314928 319302 334562 341056 353376 354294 358284 378432 383688 397548 419904 425736 431649 471168 472392 477712 478953 501843 504576 511584 530064 537426 559872 567648 575532 596322 629856 638604 669124 682112 706752 708588 716568 756864 767376 795096 806139 839808 851472 863298 894483 942336 944784 955424 957906 1003686 1023168 1060128 1074852 1135296 1151064 1192644 1259712 1277208 1294947 1338248 1364224 1413504 1417176 1433136 1436859 1505529 1513728 1534752 1590192 1612278 1679616 1702944 1726596 1788966 1889568 1910848 1915812 2007372 2046336 2120256 2149704 2179561 2270592 2302128 2385288 2418417 2519424 2554416 2589894 2676496 2683449 2827008 2834352 2866272 2873718 3011058 3069504 3180384 3224556 3405888 3453192 3577932 3779136 3821696 3831624 3884841 4014744 4092672 4240512 4299408 4310577 4359122 4516587 4541184 4604256 4770576 4836834 5038848 5108832 5179788 5352992 5366898 5668704 5732544 5747436 6022116 6139008 6360768 6449112 6538683 6811776 6906384 7155864 7255251 7558272 7643392 7663248 7769682 8029488 8050347 8481024 8598816 8621154 8718244 9033174 9208512 9541152 9673668 10217664 10359576 10705984 10733796 11337408 11465088 11494872 11654523 12044232 12211513 12278016 12721536 12898224 12931731 13077366 13549761 13623552 13812768 14311728 14510502 15116544 15326496 15539364 16058976 16100694 17197632 17242308 17436488 18066348 18417024 19082304 19347336 19616049 20435328 20719152 21411968 21467592 21765753 22674816 22930176 22989744 23309046 24088464 24151041 24423026 25443072 25796448 25863462 26154732 27099522 27625536 28623456 29021004 30652992 31078728 32117952 32201388 34395264 34484616 34872976 34963569 36132696 36634539 36834048 38164608 38694672 39232098 40649283 40870656 41438304 42823936 42935184 43531506 45349632 45979488 46618092 48176928 48302082 48846052 51592896 51726924 52309464 54199044 55251072 57246912 58042008 58848147 61305984 62157456 64235904 64402776 65297259 68790528 68969232 69745952 69927138 72265392 72453123 73269078 76329216 77389344 78464196 81298566 82876608 85870368 87063012 91958976 93236184 96353856 96604164 97692104 103185792 103453848 104618928 104890707 108398088 109903617 110502144 114493824 116084016 117696294 121947849 122611968 124314912 128471808 128805552 130594518 137938464 139491904 139854276 144530784 144906246 146538156 154778688 156928392 162597132 165753216 171740736 174126024 176544441 183917952 186472368 192707712 193208328 195384208 195891777 206371584 206907696 209237856 209781414 216796176 219807234 228987648 232168032 235392588 243895698 248629824 257611104 261189036 275876928 278983808 279708552 289061568 289812492 293076312 309557376 313856784 314672121 325194264 329710851 331506432 343481472 348252048 353088882 365843547 367835904 372944736 385415424 386416656 390768416 391783554 413815392 418475712 419562828 433592352 439614468 464336064 470785176 487791396 497259648 515222208 522378072 529633323 551753856 557967616 559417104 578123136 579624984 586152624 587675331 619114752 627713568 629344242 650388528 659421702 686962944 696504096 706177764 731687094 745889472 772833312 781536832 783567108 827630784 836951424 839125656 867184704 879228936 891440449 928672128 941570352 944016363 975582792 989132553 994519296 1030444416 1044756144 1059266646 1097530641 1103507712 1118834208 1156246272 1159249968 1172305248 1175350662 1255427136 1258688484 1300777056 1318843404 1393008192 1412355528 1463374188 1491778944 1545666624 1563073664 1567134216 1588899969 1655261568 1673902848 1678251312 1734369408 1758457872 1763025993 1782880898 1857344256 1883140704 1888032726 1951165584 1978265106 2060888832 2089512288 2118533292 2195061282 2237668416 2318499936 2344610496 2350701324 2510854272 2517376968 2601554112 2637686808 2674321347 2786016384 2824711056 2926748376 2967397659 2983557888 3091333248 3126147328 3134268432 3177799938 3292591923 3310523136 3356502624 3468738816 3516915744 3526051986 3565761796 3766281408 3776065452 3902331168 3956530212 4179024576 4237066584 4390122564 4475336832 4636999872 4689220992 4701402648 4766699907 5021708544 5034753936 5203108224 5275373616 5289077979 5348642694 5572032768 5649422112 5853496752 5934795318 6182666496 6268536864 6355599876 6585183846 6713005248 7033831488 7052103972 7131523592 7532562816 7552130904 7804662336 7913060424 8022964041 8358049152 8474133168 8780245128 8902192977 8950673664 9273999744 9378441984 9402805296 9533399814 9877775769 10069507872 10406216448 10550747232 10578155958 10697285388 11298844224 11706993504 11869590636 12537073728 12711199752 13170367692 13426010496 14067662976 14104207944 14263047184 14300099721 15065125632 15104261808 15609324672 15826120848 16045928082 16716098304 16948266336 17560490256 17804385954 18547999488 18805610592 19066799628 19755551538 20139015744 21101494464 21156311916 21394570776 22597688448 23413987008 23739181272 24068892123 25074147456 25422399504 26340735384 26706578931 26852020992 28135325952 28208415888 28526094368 28600199442 29633327307 30208523616 31218649344 31652241696 32091856164 33896532672 35120980512 35608771908 37611221184 38133599256 39511103076 40278031488 42202988928 42312623832 42789141552 42900299163 45195376896 46827974016 47478362544 48137784246 50148294912 50844799008 52681470768 53413157862 56416831776 57052188736 57200398884 59266654614 60417047232 63304483392 64183712328 67793065344 70241961024 71217543816 72206676369 75222442368 76267198512 79022206152 80119736793 80556062976 84405977856 84625247664 85578283104 85800598326 93655948032 94956725088 96275568492 101689598016 105362941536 106826315724 112833663552 114104377472 114400797768 118533309228 120834094464 126608966784 128367424656 128700897489 135586130688 140483922048 142435087632 144413352738 150444884736 152534397024 158044412304 160239473586 169250495328 171156566208 171601196652 189913450176 192551136984 203379196032 210725883072 213652631448 216620029107 225667327104 228208754944 228801595536 237066618456 240359210379 241668188928 253217933568 256734849312 257401794978 280967844096 284870175264 288826705476 305068794048 316088824608 320478947172 338500990656 342313132416 343202393304 379826900352 385102273968 386102692467 406758392064 421451766144 427305262896 433240058214 451334654208 457603191072 474133236912 480718420758 513469698624 514803589956 569740350528 577653410952 610137588096 632177649216 640957894344 649860087321 677001981312 684626264832 686404786608 721077631137 759653800704 770204547936 772205384934 842903532288 854610525792 866480116428 915206382144 948266473824 961436841516 1026939397248 1029607179912 1139480701056 1155306821904 1220275176192 1264355298432 1281915788688 1299720174642 1354003962624 1372809573216 1442155262274 1540409095872 1544410769868 1709221051584 1732960232856 1830412764288 1896532947648 1922873683032 1949580261963 2053878794496 2059214359824 2163232893411 2278961402112 2310613643808 2528710596864 2563831577376 2599440349284 2745619146432 2884310524548 3080818191744 3088821539736 3418442103168 3465920465712 3660825528576 3793065895296 3845747366064 3899160523926 4118428719648 4326465786822 4621227287616 5127663154752 5198880698568 5491238292864 5768621049096 5848740785889 6161636383488 6177643079472 6836884206336 6931840931424 7586131790592 7691494732128 7798321047852 8236857439296 8652931573644 9242454575232 10255326309504 10397761397136 10982476585728 11537242098192 11697481571778 12355286158944 13863681862848 15382989464256 15596642095704 16473714878592 17305863147288 17546222357667 18484909150464 20510652619008 20795522794272 23074484196384 23394963143556 24710572317888 27727363725696 30765978928512 31193284191408 32947429757184 34611726294576 35092444715334 41591045588544 46148968392768 46789926287112 49421144635776 52638667073001 55454727451392 61531957857024 62386568382816 69223452589152 70184889430668 83182091177088 92297936785536 93579852574224 98842289271552 105277334146002 124773136765632 138446905178304 140369778861336 157916001219003 166364182354176 184595873571072 187159705148448 210554668292004 249546273531264 276893810356608 280739557722672 315832002438006 374319410296896 421109336584008 499092547062528 553787620713216 561479115445344 631664004876012 748638820593792 842218673168016 1122958230890688 1263328009752024 1497277641187584 1684437346336032 2245916461781376 2526656019504048 3368874692672064 4491832923562752 5053312039008096 6737749385344128 10106624078016192 13475498770688256 20213248156032384 40426496312064768
- Sum of all divisors σ(n): 123024006364601160
- Sum of proper divisors (its aliquot sum) s(n): 82597510052536392
- 40426496312064768 is an abundant number, because the sum of its proper divisors (82597510052536392) is greater than itself. Its abundance is 42171013740471624
Bases of 40426496312064768
- Binary: 100011111001111110101111001010000011000110111011000000002
- Hexadecimal: 0x8F9FAF2831BB00
- Base-36: B21ZW0R0000
Squares and roots of 40426496312064768
- 40426496312064768 squared (404264963120647682) is 1634301604069386287970275426893824
- 40426496312064768 cubed (404264963120647683) is 66069087769712579409026075522046660350426147192832
-
The
square root of 40426496312064768 is 201063413.6586384729 -
The
cube root of 40426496312064768 is 343206.3920935537
Scales and comparisons
How big is 40426496312064768?- 40,426,496,312,064,768 seconds is equal to 1,285,437,535 years, 18 weeks, 5 days, 2 hours, 52 minutes, 48 seconds.
-
To count from 1 to 40,426,496,312,064,768 would take you about three billion, eight hundred fifty-six million, three hundred twelve thousand, six hundred 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 40426496312064768 cubic inches would be around 28600.5 feet tall.
Recreational maths with 40426496312064768
- 40426496312064768 backwards is 86746021369462404
- 40426496312064768 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 40426496312064768's digits is 72
- More coming soon!
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The information we have on file for 40426496312064768 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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