493980717199497216
493,980,717,199,497,216 is an even composite number composed of five prime numbers multiplied together.
493980717199497216 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 493980717199497216:
211 × 3 × 134 × 172 × 31212
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 13 × 13 × 13 × 17 × 17 × 3121 × 3121)See below for interesting mathematical facts about the number 493980717199497216 from the Numbermatics database.
Names of 493980717199497216
- Cardinal: 493980717199497216 can be written as Four hundred ninety-three quadrillion, nine hundred eighty trillion, seven hundred seventeen billion, one hundred ninety-nine million, four hundred ninety-seven thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 4.93980717199497216 × 1017
Factors of 493980717199497216
Divisors of 493980717199497216
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 128 136 156 169 192 204 208 221 256 272 289 312 338 384 408 416 442 507 512 544 578 624 663 676 768 816 832 867 884 1014 1024 1088 1156 1248 1326 1352 1536 1632 1664 1734 1768 2028 2048 2176 2197 2312 2496 2652 2704 2873 3072 3121 3264 3328 3468 3536 3757 4056 4352 4394 4624 4992 5304 5408 5746 6144 6242 6528 6591 6656 6936 7072 7514 8112 8619 8704 8788 9248 9363 9984 10608 10816 11271 11492 12484 13056 13182 13312 13872 14144 15028 16224 17238 17408 17576 18496 18726 19968 21216 21632 22542 22984 24968 26112 26364 26624 27744 28288 28561 30056 32448 34476 34816 35152 36992 37349 37452 39936 40573 42432 43264 45084 45968 48841 49936 52224 52728 53057 55488 56576 57122 60112 64896 68952 70304 73984 74698 74904 79872 81146 84864 85683 86528 90168 91936 97682 99872 104448 105456 106114 110976 112047 113152 114244 120224 121719 129792 137904 140608 146523 147968 149396 149808 159171 162292 169728 171366 173056 180336 183872 195364 199744 210912 212228 221952 224094 226304 228488 240448 243438 259584 275808 281216 293046 295936 298792 299616 318342 324584 339456 342732 346112 360672 367744 390728 399488 421824 424456 443904 448188 452608 456976 480896 485537 486876 519168 527449 551616 562432 586092 591872 597584 599232 634933 636684 649168 678912 685464 689741 721344 735488 781456 798976 843648 848912 887808 896376 901969 913952 961792 971074 973752 1038336 1054898 1103232 1124864 1172184 1195168 1198464 1269866 1273368 1298336 1357824 1370928 1379482 1442688 1456611 1470976 1562912 1582347 1597952 1687296 1697824 1775616 1792752 1803938 1827904 1904799 1923584 1942148 1947504 2069223 2109796 2206464 2249728 2344368 2390336 2396928 2539732 2546736 2596672 2705907 2741856 2758964 2885376 2913222 2941952 3125824 3164694 3195904 3374592 3395648 3585504 3607876 3655808 3809598 3847168 3884296 3895008 4138446 4219592 4412928 4499456 4688736 4780672 4793856 5079464 5093472 5193344 5411814 5483712 5517928 5770752 5826444 5883904 6251648 6329388 6391808 6749184 6791296 6856837 7171008 7215752 7311616 7619196 7694336 7768592 7790016 8254129 8276892 8439184 8825856 8966633 9377472 9561344 9587712 9740641 10158928 10186944 10386688 10823628 10967424 11035856 11541504 11652888 11725597 12503296 12658776 13498368 13582592 13713674 14342016 14431504 14623232 15238392 15537184 15580032 16508258 16553784 16878368 17651712 17933266 18754944 19122688 19175424 19481282 20317856 20373888 20570511 20773376 21647256 21934848 22071712 23083008 23305776 23451194 24762387 25006592 25317552 26899899 27165184 27427348 28684032 28863008 29221923 29246464 30476784 31074368 31160064 33016516 33107568 33756736 35176791 35866532 37509888 38245376 38962564 40635712 40747776 41141022 41546752 43294512 43869696 44143424 46611552 46902388 49524774 50013184 50635104 53799798 54330368 54854696 57368064 57726016 58443846 58492928 60953568 62148736 62320128 66033032 66215136 67513472 70353582 71733064 75019776 76490752 77925128 81271424 81495552 82282044 83093504 86589024 87739392 88286848 89138881 93223104 93804776 99049548 100026368 101270208 107599596 108660736 109709392 114736128 115452032 116566229 116887692 121907136 124297472 124640256 126628333 132066064 132430272 135026944 140707164 143466128 150039552 152432761 155850256 162542848 162991104 164564088 165590897 173178048 175478784 176573696 178277762 186446208 187609552 198099096 202540416 215199192 219418784 229472256 230904064 233132458 233775384 243814272 248594944 249280512 253256666 264132128 264860544 267416643 270053888 281414328 286932256 300079104 304865522 311700512 325085696 325982208 329128176 331181794 346356096 349698687 353147392 356555524 372892416 375219104 379884999 396198192 405080832 430398384 438837568 457298283 461808128 466264916 467550768 487628544 496772691 497189888 506513332 528264256 529721088 534833286 540107776 562828656 573864512 609731044 623401024 650171392 658256352 662363588 692712192 699397374 706294784 713111048 745784832 750438208 759769998 792396384 810161664 860796768 877675136 914596566 923616256 932529832 935101536 975257088 993545382 994379776 1013026664 1056528512 1059442176 1069666572 1080215552 1125657312 1147729024 1219462088 1246802048 1300342784 1316512704 1324727176 1385424384 1398794748 1412589568 1426222096 1491569664 1500876416 1515360977 1519539996 1584792768 1620323328 1646168329 1721593536 1755350272 1829193132 1847232512 1865059664 1870203072 1950514176 1981625893 1987090764 2026053328 2113057024 2118884352 2139333144 2152681661 2251314624 2295458048 2438924176 2493604096 2633025408 2649454352 2770848768 2797589496 2815045249 2852444192 2983139328 3001752832 3030721954 3039079992 3169585536 3240646656 3292336658 3443187072 3510700544 3658386264 3730119328 3740406144 3901028352 3963251786 3974181528 4052106656 4226114048 4237768704 4278666288 4305363322 4502629248 4546082931 4590916096 4877848352 4938504987 4987208192 5266050816 5298908704 5541697536 5595178992 5630090498 5704888384 5944877679 6003505664 6061443908 6078159984 6339171072 6458044983 6584673316 6886374144 7021401088 7316772528 7460238656 7480812288 7926503572 7948363056 8104213312 8445135747 8452228096 8557332576 8610726644 9005258496 9092165862 9181832192 9755696704 9877009974 9974416384 10532101632 10597817408 11190357984 11260180996 11409776768 11889755358 12007011328 12122887816 12156319968 12678342144 12916089966 13169346632 13772748288 14042802176 14633545056 14920477312 14961624576 15853007144 15896726112 16208426624 16890271494 16904456192 17114665152 17221453288 18010516992 18184331724 18363664384 19511393408 19754019948 19948832768 21064203264 21195634816 21400188277 22380715968 22520361992 22819553536 23779510716 24014022656 24245775632 24312639936 25356684288 25761136609 25832179932 26338693264 27545496576 27984861593 29267090112 29840954624 29923249152 31706014288 31793452224 32416853248 33780542988 34229330304 34442906576 36021033984 36368663448 36595588237 39022786816 39508039896 42128406528 42391269632 42800376554 44761431936 45040723984 45639107072 47559021432 48491551264 48625279872 50713368576 51522273218 51664359864 52677386528 55090993152 55969723186 58534180224 59681909248 59846498304 63412028576 63586904448 64200564831 64833706496 67561085976 68458660608 68885813152 72042067968 72737326896 73191176474 77283409827 78045573632 79016079792 83954584779 84782539264 85600753108 89522863872 90081447968 91278214144 95118042864 96983102528 97250559744 103044546436 103328719728 105354773056 109786764711 111939446372 117068360448 119363818496 126824057152 127173808896 128401129662 129667412992 135122171952 136917321216 137771626304 145474653792 146382352948 154566819654 156091147264 158032159584 167909169558 169565078528 171201506216 179045727744 180162895936 182556428288 190236085728 193966205056 194501119488 206089092872 206657439456 210709546112 219573529422 223878892744 234136720896 238727636992 253648114304 254347617792 256802259324 259334825984 270244343904 273834642432 275543252608 278202447601 290949307584 292764705896 309133639308 312182294528 316064319168 335818339116 339130157056 342403012432 358091455488 360325791872 363803200709 380472171456 387932410112 389002238976 412178185744 413314878912 421419092224 439147058844 447757785488 468273441792 475742647081 507296228608 508695235584 513604518648 540488687808 547669284864 551086505216 556404895202 581898615168 585529411792 618267278616 632128638336 671636678232 684806024864 716182910976 720651583744 727606401418 760944342912 775864820224 778004477952 824356371488 826629757824 834607342803 842838184448 878294117688 895515570976 936546883584 951485294162 1014592457216 1017390471168 1027209037296 1080977375616 1091409602127 1102173010432 1112809790404 1163797230336 1171058823584 1236534557232 1264257276672 1343273356464 1369612049728 1427227941243 1441303167488 1455212802836 1521888685824 1551729640448 1648712742976 1653259515648 1669214685606 1685676368896 1756588235376 1791031141952 1902970588324 2029184914432 2054418074592 2161954751232 2182819204254 2204346020864 2225619580808 2327594460672 2342117647168 2473069114464 2528514553344 2686546712928 2739224099456 2854455882486 2882606334976 2910425605672 3043777371648 3103459280896 3297425485952 3306519031296 3338429371212 3371352737792 3513176470752 3582062283904 3805941176648 4058369828864 4108836149184 4323909502464 4365638408508 4408692041728 4451239161616 4655188921344 4684235294336 4729441609217 4946138228928 5057029106688 5373093425856 5478448198912 5708911764972 5765212669952 5820851211344 6087554743296 6184654412053 6594850971904 6613038062592 6676858742424 7026352941504 7164124567808 7611882353296 8217672298368 8647819004928 8731276817016 8902478323232 9310377842688 9368470588672 9458883218434 9892276457856 10114058213376 10746186851712 10956896397824 11417823529944 11641702422688 12175109486592 12369308824106 13189701943808 13226076125184 13353717484848 14052705883008 14188324827651 14328249135616 15223764706592 16435344596736 17295638009856 17462553634032 17804956646464 18553963236159 18736941177344 18917766436868 19784552915712 21492373703424 21913792795648 22835647059888 23283404845376 24738617648212 26379403887616 26707434969696 28105411766016 28376649655302 28656498271232 30447529413184 32870689193472 34925107268064 35609913292928 37107926472318 37473882354688 37835532873736 39569105831424 42984747406848 43827585591296 45671294119776 46566809690752 49477235296424 52758807775232 53414869939392 56210823532032 56753299310604 57312996542464 60895058826368 65741378386944 69850214536128 71219826585856 74215852944636 74947764709376 75671065747472 79138211662848 80400507356689 85969494813696 91342588239552 93133619381504 98954470592848 106829739878784 112421647064064 113506598621208 121790117652736 131482756773888 139700429072256 142439653171712 148431705889272 151342131494944 158276423325696 160801014713378 171938989627392 182685176479104 186267238763008 197908941185696 213659479757568 224843294128128 227013197242416 241201522070067 243580235305472 279400858144512 284879306343424 296863411778544 302684262989888 321602029426756 365370352958208 372534477526016 395817882371392 427318959515136 454026394484832 482403044140134 487160470610944 558801716289024 569758612686848 593726823557088 605368525979776 643204058853512 730740705916416 745068955052032 791635764742784 854637919030272 908052788969664 964806088280268 974320941221888 1117603432578048 1187453647114176 1210737051959552 1286408117707024 1461481411832832 1583271529485568 1709275838060544 1816105577939328 1929612176560536 2235206865156096 2374907294228352 2421474103919104 2572816235414048 2922962823665664 3166543058971136 3632211155878656 3859224353121072 4749814588456704 4842948207838208 5145632470828096 6333086117942272 7264422311757312 7718448706242144 9499629176913408 9685896415676416 10291264941656192 12666172235884544 14528844623514624 15436897412484288 18999258353826816 20582529883312384 29057689247029248 30873794824968576 37998516707653632 41165059766624768 61747589649937152 82330119533249536 123495179299874304 164660239066499072 246990358599748608 493980717199497216
- Sum of all divisors σ(n): 1516049322471372780
- Sum of proper divisors (its aliquot sum) s(n): 1022068605271875564
- 493980717199497216 is an abundant number, because the sum of its proper divisors (1022068605271875564) is greater than itself. Its abundance is 528087888072378348
Bases of 493980717199497216
- Binary: 110110110101111100011011000010101101001000110011000000000002
- Hexadecimal: 0x6DAF8D856919800
- Base-36: 3R3XJSNKF56O
Squares and roots of 493980717199497216
- 493980717199497216 squared (4939807171994972162) is 244016948964929644638166883191750656
- 493980717199497216 cubed (4939807171994972163) is 120539667458529055688234428265899858076251802038173696
-
The
square root of 493980717199497216 is 702837617.9456370105 -
The
cube root of 493980717199497216 is 790502.6535634583
Scales and comparisons
How big is 493980717199497216?- 493,980,717,199,497,216 seconds is equal to 15,707,058,824 years, 13 weeks, 4 days, 5 hours, 13 minutes, 36 seconds.
-
To count from 1 to 493,980,717,199,497,216 would take you about forty-seven billion, one hundred twenty-one million, one hundred seventy-six thousand, four hundred seventy-two 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 493980717199497216 cubic inches would be around 65875.2 feet tall.
Recreational maths with 493980717199497216
- 493980717199497216 backwards is 612794991717089394
- 493980717199497216 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 493980717199497216's digits is 96
- More coming soon!
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Numbermatics. (2024). Number 493980717199497216 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/493980717199497216/
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The information we have on file for 493980717199497216 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 493980717199497216, math, Factors of 493980717199497216, curriculum, school, college, exams, university, Prime factorization of 493980717199497216, STEM, science, technology, engineering, physics, economics, calculator, four hundred ninety-three quadrillion, nine hundred eighty trillion, seven hundred seventeen billion, one hundred ninety-nine million, four hundred ninety-seven thousand, two hundred sixteen.