513968097684414464
513,968,097,684,414,464 is an even composite number composed of five prime numbers multiplied together.
What does the number 513968097684414464 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1512 divisors.
513968097684414464 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 513968097684414464:
213 × 73 × 132 × 1672 × 1972
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 13 × 13 × 167 × 167 × 197 × 197)See below for interesting mathematical facts about the number 513968097684414464 from the Numbermatics database.
Names of 513968097684414464
- Cardinal: 513968097684414464 can be written as Five hundred thirteen quadrillion, nine hundred sixty-eight trillion, ninety-seven billion, six hundred eighty-four million, four hundred fourteen thousand, four hundred sixty-four.
Scientific notation
- Scientific notation: 5.13968097684414464 × 1017
Factors of 513968097684414464
Divisors of 513968097684414464
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 167 169 182 196 197 208 224 256 334 338 343 364 392 394 416 448 512 637 668 676 686 728 784 788 832 896 1024 1169 1183 1274 1336 1352 1372 1379 1456 1568 1576 1664 1792 2048 2171 2338 2366 2548 2561 2672 2704 2744 2758 2912 3136 3152 3328 3584 4096 4342 4459 4676 4732 5096 5122 5344 5408 5488 5516 5824 6272 6304 6656 7168 8183 8192 8281 8684 8918 9352 9464 9653 10192 10244 10688 10816 10976 11032 11648 12544 12608 13312 14336 15197 16366 16562 17368 17836 17927 18704 18928 19306 20384 20488 21376 21632 21952 22064 23296 25088 25216 26624 27889 28223 28672 30394 32732 32899 33124 33293 34736 35672 35854 37408 37856 38612 38809 40768 40976 42752 43264 43904 44128 46592 50176 50432 53248 55778 56446 57281 57344 57967 60788 65464 65798 66248 66586 67571 69472 71344 71708 74816 75712 77224 77618 81536 81952 85504 86528 87808 88256 93184 100352 100864 106379 106496 111556 112892 114562 115934 121576 125489 130928 131596 132496 133172 135142 138944 142688 143416 149632 151424 154448 155236 163072 163904 171008 173056 175616 176512 186368 195223 197561 200704 201728 212758 223112 225784 229124 230293 231868 233051 243152 250978 261856 263192 264992 266344 270284 271663 277888 285376 286832 299264 302848 308896 310472 326144 327808 342016 346112 351232 353024 362557 372736 390446 395122 401408 403456 425516 427687 446224 451568 458248 460586 463736 466102 486304 501956 504517 523712 526384 529984 532688 540568 543326 555776 570752 573664 598528 605696 617792 620944 652288 655616 684032 692224 702464 706048 725114 744653 745472 780892 790244 806912 851032 855374 878423 892448 903136 916496 921172 927472 932204 972608 1003912 1009034 1047424 1052768 1059968 1065376 1081136 1086652 1111552 1141504 1147328 1197056 1211392 1235584 1241888 1304576 1311232 1366561 1368064 1382927 1384448 1404928 1412096 1450228 1489306 1561784 1580488 1612051 1613824 1631357 1702064 1710748 1756846 1784896 1806272 1832992 1842344 1854944 1864408 1901641 1945216 2007824 2018068 2094848 2105536 2119936 2130752 2162272 2173304 2223104 2283008 2294656 2394112 2422784 2471168 2483776 2537899 2609152 2622464 2733122 2765854 2809856 2824192 2900456 2978612 2993809 3123568 3160976 3224102 3262714 3404128 3421496 3513692 3531619 3569792 3612544 3665984 3684688 3709888 3728816 3803282 3890432 4015648 4036136 4189696 4211072 4239872 4261504 4324544 4346608 4446208 4566016 4589312 4713241 4788224 4845568 4942336 4967552 5075798 5218304 5244928 5466244 5494133 5531708 5559931 5648384 5800912 5957224 5987618 6247136 6321952 6448204 6481103 6525428 6558721 6808256 6842992 7027384 7063238 7139584 7225088 7331968 7369376 7419776 7457632 7606564 7780864 8031296 8072272 8379392 8422144 8479744 8523008 8649088 8693216 8892416 9132032 9178624 9426482 9565927 9576448 9680489 9691136 9884672 9935104 10151596 10489856 10932488 10988266 11063416 11119862 11284357 11296768 11419499 11601824 11914448 11975236 12494272 12643904 12896408 12962206 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58955008 59358208 59661056 60852512 62246912 64250368 64578176 65985374 67035136 67377152 67837952 68184064 69192704 69545728 71061172 71423729 73428992 75411856 76527416 76917862 77443912 77839034 79077376 79480832 81212768 83826652 84254339 87459904 87906128 88507328 88958896 90274856 90735442 91355992 91822094 92814592 95315584 95801888 98885332 99954176 101151232 103171264 103697648 104406848 104939536 106491896 108932096 109487872 112438144 113011808 114233344 115601408 117311488 117910016 118716416 119322112 121705024 124357051 124493824 128500736 129156352 131970748 134754304 136368128 138385408 139091456 142122344 142847458 146696641 146857984 150823712 153054832 153835724 154887824 155678068 158961664 162425536 167653304 168508678 173049331 174919808 175812256 177014656 177917792 180549712 181470884 182711984 183644188 185629184 190631168 191603776 197770664 199908352 202302464 206342528 207395296 208813696 209879072 212983792 217864192 218975744 224876288 226023616 228466688 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92913092608 93548535808 94025824256 97993356188 98493322291 101258579968 103465066432 103992949424 106069731698 107340027886 109047701504 111992407072 112563796904 115596953108 118245790208 118849085056 120607207616 121222550512 122051605312 122674317584 127341620224 127991322368 132110803552 135138045952 137836808704 138540057728 139487548928 140199220096 142273173056 143977043392 145533280256 146275796992 150217360384 150983775488 157527781376 159414341632 162597912064 164545192448 171676983296 172552886272 177202514944 181987661492 182916169969 185826185216 188051648512 195986712376 196986644582 202517159936 206930132864 207985898848 212139463396 214680055772 223984814144 225127593808 231193906216 236491580416 237698170112 241214415232 242445101024 244103210624 245348635168 254683240448 255982644736 264221607104 270276091904 275673617408 277080115456 278975097856 280398440192 284546346112 287954086784 292551593984 300434720768 301967550976 315055562752 318478407611 318828683264 325195824128 329090384896 345105772544 354405029888 363975322984 365832339938 371244060943 371652370432 375690097601 376103297024 391973424752 393973289164 413860265728 415971797696 424278926792 429360111544 447969628288 450255187616 462387812432 472983160832 475396340224 482428830464 484890202048 488206421248 490697270336 509366480896 511965289472 528443214208 551347234816 554160230912 557950195712 560796880384 569092692224 575908173568 585103187968 600869441536 603935101952 636956815222 650391648256 658180769792 689453256037 690211545088 708810059776 727950645968 731664679876 742488121886 751380195202 783946849504 787946578328 827720531456 831943595392 848557853584 858720223088 895939256576 900510375232 924775624864 945966321664 950792680448 964857660928 969780404096 976412842496 981394540672 1018732961792 1023930578944 1056886428416 1102694469632 1108320461824 1115900391424 1121593760768 1138185384448 1151816347136 1201738883072 1207870203904 1273913630444 1280413189783 1300783296512 1316361539584 1378906512074 1417620119552 1455901291936 1463329359752 1484976243772 1502760390404 1567893699008 1575893156656 1655441062912 1663887190784 1697115707168 1717440446176 1791878513152 1801020750464 1849551249728 1891932643328 1901585360896 1929715321856 1939560808192 1952825684992 1962789081344 2047861157888 2113772856832 2205388939264 2216640923648 2231800782848 2243187521536 2276370768896 2303632694272 2415740407808 2547827260888 2560826379566 2601566593024 2632723079168 2757813024148 2911802583872 2926658719504 2969952487544 3005520780808 3135787398016 3151786313312 3310882125824 3327774381568 3394231414336 3434880892352 3583757026304 3602041500928 3699102499456 3803170721792 3859430643712 3879121616384 3905651369984 3925578162688 4095722315776 4227545713664 4433281847296 4486375043072 4552741537792 4607265388544 4826172792259 4831480815616 5095654521776 5121652759132 5515626048296 5823605167744 5853317439008 5939904975088 6011041561616 6271574796032 6303572626624 6621764251648 6655548763136 6788462828672 6869761784704 7167514052608 7204083001856 7398204998912 7606341443584 7718861287424 7758243232768 7811302739968 7851156325376 8455091427328 8866563694592 8962892328481 8972750086144 9105483075584 9214530777088 9652345584518 10191309043552 10243305518264 11031252096592 11647210335488 11706634878016 11879809950176 12022083123232 12543149592064 12607145253248 13243528503296 13311097526272 13576925657344 13739523569408 14335028105216 14408166003712 14796409997824 15437722574848 15516486465536 15622605479936 15702312650752 16910182854656 17925784656962 18210966151168 18429061554176 19304691169036 20382618087104 20486611036528 22062504193184 23294420670976 23413269756032 23759619900352 24044166246464 25086299184128 25214290506496 26622195052544 27153851314688 27479047138816 28670056210432 28816332007424 29592819995648 31032972931072 31404625301504 33820365709312 35851569313924 38609382338072 40765236174208 40973222073056 44125008386368 46588841341952 46826539512064 47519239800704 48088332492928 50172598368256 50428581012992 53244390105088 54307702629376 54958094277632 57632664014848 59185639991296 62065945862144 62740246299367 62809250603008 71703138627848 77218764676144 81530472348416 81946444146112 88250016772736 93177682683904 93653079024128 95038479601408 96176664985856 100345196736512 100857162025984 108615405258752 109916188555264 115265328029696 118371279982592 125480492598734 143406277255696 154437529352288 163060944696832 163892888292224 176500033545472 186355365367808 187306158048256 190076959202816 192353329971712 200690393473024 201714324051968 217230810517504 219832377110528 236742559965184 250960985197468 286812554511392 308875058704576 326121889393664 327785776584448 353000067090944 372710730735616 374612316096512 380153918405632 384706659943424 403428648103936 434461621035008 439664754221056 501921970394936 573625109022784 617750117409152 652243778787328 655571553168896 706000134181888 749224632193024 760307836811264 769413319886848 806857296207872 1003843940789872 1147250218045568 1235500234818304 1304487557574656 1311143106337792 1412000268363776 1498449264386048 1520615673622528 1538826639773696 2007687881579744 2294500436091136 2471000469636608 2608975115149312 2622286212675584 2824000536727552 3041231347245056 3077653279547392 4015375763159488 4589000872182272 4942000939273216 5244572425351168 5648001073455104 8030751526318976 9178001744364544 9884001878546432 10489144850702336 16061503052637952 18356003488729088 19768003757092864 32123006105275904 36712006977458176 39536007514185728 64246012210551808 73424013954916352 128492024421103616 256984048842207232 513968097684414464
- Sum of all divisors σ(n): 1312466704611404400
- Sum of proper divisors (its aliquot sum) s(n): 798498606926989936
- 513968097684414464 is an abundant number, because the sum of its proper divisors (798498606926989936) is greater than itself. Its abundance is 284530509242575472
Bases of 513968097684414464
- Binary: 111001000011111101101000011000000000101110011100000000000002
- Hexadecimal: 0x721FB43005CE000
- Base-36: 3WKQHGHM9OU8
Squares and roots of 513968097684414464
- 513968097684414464 squared (5139680976844144642) is 264163205437335808711133174532407296
- 513968097684414464 cubed (5139680976844144643) is 135771460176844657011133213535026985234251702121529344
-
The
square root of 513968097684414464 is 716915683.8041796279 -
The
cube root of 513968097684414464 is 801023.7402633257
Scales and comparisons
How big is 513968097684414464?- 513,968,097,684,414,464 seconds is equal to 16,342,595,698 years, 34 weeks, 8 hours, 27 minutes, 44 seconds.
-
To count from 1 to 513,968,097,684,414,464 would take you about forty-nine billion, twenty-seven million, seven hundred eighty-seven thousand and ninety-five 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 513968097684414464 cubic inches would be around 66752 feet tall.
Recreational maths with 513968097684414464
- 513968097684414464 backwards is 464414486790869315
- The number of decimal digits it has is: 18
- The sum of 513968097684414464's digits is 89
- More coming soon!
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"Number 513968097684414464 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 513968097684414464 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/513968097684414464/
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The information we have on file for 513968097684414464 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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