4013405804337216768
4,013,405,804,337,216,768 is an even composite number composed of five prime numbers multiplied together.
What does the number 4013405804337216768 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 972 divisors.
4013405804337216768 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 4013405804337216768:
28 × 32 × 133 × 1732 × 51472
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 13 × 13 × 173 × 173 × 5147 × 5147)See below for interesting mathematical facts about the number 4013405804337216768 from the Numbermatics database.
Names of 4013405804337216768
- Cardinal: 4013405804337216768 can be written as Four quintillion, thirteen quadrillion, four hundred five trillion, eight hundred four billion, three hundred thirty-seven million, two hundred sixteen thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 4.013405804337216768 × 1018
Factors of 4013405804337216768
Divisors of 4013405804337216768
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 169 173 192 208 234 256 288 312 338 346 384 416 468 507 519 576 624 676 692 768 832 936 1014 1038 1152 1248 1352 1384 1521 1557 1664 1872 2028 2076 2197 2249 2304 2496 2704 2768 3042 3114 3328 3744 4056 4152 4394 4498 4992 5147 5408 5536 6084 6228 6591 6747 7488 8112 8304 8788 8996 9984 10294 10816 11072 12168 12456 13182 13494 14976 15441 16224 16608 17576 17992 19773 20241 20588 21632 22144 24336 24912 26364 26988 29237 29929 29952 30882 32448 33216 35152 35984 39546 40482 41176 43264 44288 46323 48672 49824 52728 53976 58474 59858 61764 64896 66432 66911 70304 71968 79092 80964 82352 87711 89787 92646 97344 99648 105456 107952 116948 119716 123528 129792 132864 133822 140608 143936 158184 161928 164704 175422 179574 185292 194688 199296 200733 210912 215904 233896 239432 247056 263133 267644 269361 281216 287872 316368 323856 329408 350844 359148 370584 380081 389077 389376 398592 401466 421824 431808 467792 478864 494112 526266 535288 538722 562432 575744 602199 632736 647712 658816 701688 718296 741168 760162 778154 802932 843648 863616 869843 890431 935584 957728 988224 1052532 1070576 1077444 1140243 1167231 1204398 1265472 1295424 1317632 1403376 1436592 1482336 1520324 1556308 1605864 1687296 1727232 1739686 1780862 1871168 1915456 1976448 2105064 2141152 2154888 2280486 2334462 2408796 2530944 2590848 2609529 2671293 2806752 2873184 2964672 3040648 3112616 3211728 3420729 3479372 3501693 3561724 3742336 3830912 3952896 4210128 4282304 4309776 4560972 4668924 4817592 5058001 5061888 5181696 5219058 5342586 5613504 5746368 5929344 6081296 6225232 6423456 6841458 6958744 7003386 7123448 7484672 7661824 7828587 8013879 8420256 8564608 8619552 9121944 9337848 9635184 10116002 10438116 10685172 11227008 11307959 11492736 11575603 11858688 12162592 12450464 12846912 13682916 13917488 14006772 14246896 15174003 15657174 16027758 16840512 17129216 17239104 18243888 18675696 19270368 20232004 20876232 21370344 22454016 22615918 22985472 23151206 24325184 24900928 25693824 26491609 27365832 27834976 28013544 28493792 30348006 31314348 32055516 33681024 33923877 34478208 34726809 36487776 37351392 38540736 40464008 41752464 42740688 45231836 45522009 46302412 48650368 49801856 51387648 52983218 54731664 55669952 56027088 56987584 60696012 62628696 64111032 65754013 67362048 67847754 68956416 69453618 72975552 74702784 77081472 79474827 80928016 83504928 85481376 90463672 91044018 92604824 97300736 99603712 101771631 104180427 105966436 109463328 111339904 112054176 113975168 121392024 125257392 128222064 131508026 135695508 138907236 145951104 149405568 150482839 154044563 154162944 158949654 161856032 167009856 170962752 180927344 182088036 185209648 197262039 203543262 208360854 211932872 218926656 222679808 224108352 227950336 238424481 242784048 250514784 256444128 263016052 271391016 277814472 291902208 298811136 300965678 308089126 317899308 323712064 334019712 341925504 344390917 361854688 364176072 370419296 394524078 407086524 416721708 423865744 437853312 448216704 451448517 462133689 476848962 485568096 501029568 512888256 526032104 542782032 555628944 591786117 601931356 616178252 635798616 647424128 668039424 683851008 688781834 723709376 728352144 740838592 789048156 814173048 833443416 847731488 875706624 896433408 902897034 924267378 953697924 971136192 1002059136 1025776512 1033172751 1052064208 1085564064 1111257888 1183572234 1203862712 1232356504 1271597232 1294848256 1354345551 1377563668 1386401067 1447418752 1456704288 1481677184 1578096312 1628346096 1666886832 1695462976 1805794068 1848534756 1907395848 1942272384 1956276907 2002579319 2004118272 2051553024 2066345502 2104128416 2171128128 2222515776 2367144468 2407725424 2464713008 2543194464 2708691102 2755127336 2772802134 2894837504 2913408576 2963354368 3099518253 3156192624 3256692192 3333773664 3390925952 3611588136 3697069512 3814791696 3884544768 3912553814 4005158638 4132691004 4208256832 4342256256 4445031552 4477081921 4583048357 4734288936 4815450848 4929426016 5086388928 5417382204 5510254672 5545604268 5826817152 5868830721 6007737957 6199036506 6312385248 6513384384 6667547328 6781851904 7223176272 7394139024 7629583392 7825107628 8010317276 8265382008 8416513664 8684512512 8890063104 8954163842 9166096714 9468577872 9630901696 9858852032 10172777856 10834764408 11020509344 11091208536 11653634304 11737661442 12015475914 12398073012 12624770496 13026768768 13335094656 13431245763 13749145071 14446352544 14788278048 15259166784 15650215256 16020634552 16530764016 16833027328 17606492163 17908327684 18023213871 18332193428 18937155744 19261803392 19717704064 20345555712 21669528816 22041018688 22182417072 23475322884 24030951828 24796146024 25249540992 26033531147 26053537536 26670189312 26862491526 27498290142 28892705088 29576556096 30518333568 31300430512 32041269104 33061528032 35212984326 35816655368 36046427742 36664386856 37874311488 38523606784 39435408128 40293737289 41247435213 43339057632 44082037376 44364834144 46950645768 48061903656 49592292048 50499081984 52067062294 53724983052 54996580284 57785410176 58202064973 59153112192 59579628641 61036667136 62600861024 64082538208 66123056064 70425968652 71633310736 72092855484 73328773712 75748622976 78100593441 80587474578 82494870426 86678115264 88164074752 88729668288 93901291536 96123807312 99184584096 104134124588 107449966104 109993160568 115570820352 116404129946 118306224384 119159257282 125201722048 128165076416 132246112128 140851937304 143266621472 144185710968 146657547424 151497245952 156201186882 161174949156 164989740852 173356230528 174606194919 177459336576 178738885923 187802583072 192247614624 198369168192 208268249176 214899932208 219986321136 232808259892 234301780323 238318514564 250403444096 256330152832 264492224256 281703874608 286533242944 288371421936 293315094848 312402373764 322349898312 329979481704 338435904911 346712461056 349212389838 354918673152 357477771846 375605166144 384495229248 396738336384 416536498352 429799864416 439972642272 465616519784 468603560646 476637029128 500806888192 512660305664 523818584757 536216657769 563407749216 573066485888 576742843872 586630189696 624804747528 644699796624 659958963408 676871809822 698424779676 714955543692 751210332288 768990458496 774535172333 792867365761 793476672768 833072996704 859599728832 879945284544 931233039568 937207121292 953274058256 1015307714733 1047637169514 1072433315538 1126815498432 1146132971776 1153485687744 1173260379392 1249609495056 1289399593248 1319917926816 1353743619644 1396849559352 1429911087384 1502420664576 1537980916992 1549070344666 1585734731522 1666145993408 1719199457664 1759890569088 1862466079136 1874414242584 1906548116512 2030615429466 2095274339028 2144866631076 2253630996864 2306971375488 2323605516999 2378602097283 2499218990112 2578799186496 2639835853632 2707487239288 2793699118704 2859822174768 3045923144199 3098140689332 3171469463044 3332291986816 3438398915328 3519781138176 3724932158272 3748828485168 3813096233024 4061230858932 4190548678056 4289733262152 4507261993728 4613942750976 4647211033998 4757204194566 4998437980224 5157598372992 5279671707264 5414974478576 5587398237408 5719644349536 6091846288398 6196281378664 6342938926088 6664583973632 6970816550997 7135806291849 7449864316544 7497656970336 7626192466048 8122461717864 8381097356112 8579466524304 9294422067996 9514408389132 9996875960448 10068957240329 10307275754893 10315196745984 10559343414528 10829948957152 11174796474816 11439288699072 12183692576796 12392562757328 12685877852176 13941633101994 14271612583698 14899728633088 14995313940672 15252384932096 16244923435728 16762194712224 17158933048608 18588844135992 19028816778264 19993751920896 20137914480658 20614551509786 21659897914304 22349592949632 22878577398144 24367385153592 24785125514656 25371755704352 27883266203988 28543225167396 29990627881344 30206871720987 30921827264679 32489846871456 33524389424448 34317866097216 37177688271984 38057633556528 40275828961316 41229103019572 43319795828608 44699185899264 45757154796288 48734770307184 49570251029312 50743511408704 55766532407976 57086450334792 59981255762688 60413743441974 61843654529358 64979693742912 67048778848896 68635732194432 74355376543968 76115267113056 80551657922632 82458206039144 86639591657216 90620615162961 92765481794037 97469540614368 99140502058624 101487022817408 111533064815952 114172900669584 120827486883948 123687309058716 129959387485824 133994584813609 134097557697792 137271464388864 148710753087936 152230534226112 161103315845264 164916412078288 181241230325922 185530963588074 194939081228736 198281004117248 202974045634816 223066129631904 228345801339168 241654973767896 247374618117432 259918774971648 267989169627218 297421506175872 304461068452224 322206631690528 329832824156576 362482460651844 371061927176148 389878162457472 401983754440827 446132259263808 456691602678336 483309947535792 494749236234864 535978339254436 594843012351744 608922136904448 644413263381056 659665648313152 724964921303688 742123854352296 779756324914944 803967508881654 892264518527616 913383205356672 966619895071584 989498472469728 1071956678508872 1205951263322481 1288826526762112 1319331296626304 1449929842607376 1484247708704592 1607935017763308 1741929602576917 1784529037055232 1826766410713344 1933239790143168 1978996944939456 2143913357017744 2411902526644962 2577653053524224 2638662593252608 2899859685214752 2968495417409184 3215870035526616 3483859205153834 3866479580286336 3957993889878912 4287826714035488 4823805053289924 5225788807730751 5799719370429504 5936990834818368 6431740071053232 6967718410307668 7732959160572672 7915987779757824 8575653428070976 9647610106579848 10451577615461502 11599438740859008 11873981669636736 12863480142106464 13935436820615336 15677366423192253 17151306856141952 19295220213159696 20903155230923004 23198877481718016 23747963339273472 25726960284212928 27870873641230672 31354732846384506 34302613712283904 38590440426319392 41806310461846008 51453920568425856 55741747282461344 62709465692769012 77180880852638784 83612620923692016 102907841136851712 111483494564922688 125418931385538024 154361761705277568 167225241847384032 222966989129845376 250837862771076048 308723523410555136 334450483694768064 445933978259690752 501675725542152096 668900967389536128 1003351451084304192 1337801934779072256 2006702902168608384 4013405804337216768
- Sum of all divisors σ(n): 12610831153939340140
- Sum of proper divisors (its aliquot sum) s(n): 8597425349602123372
- 4013405804337216768 is an abundant number, because the sum of its proper divisors (8597425349602123372) is greater than itself. Its abundance is 4584019545264906604
Bases of 4013405804337216768
- Binary: 110111101100100111101101010000101010110000001010111101000000002
- Hexadecimal: 0x37B27B50AB02BD00
- Base-36: UHPLMDHF9Z40
Squares and roots of 4013405804337216768
- 4013405804337216768 squared (40134058043372167682) is 16107426150287661883908358092620365824
- 4013405804337216768 cubed (40134058043372167683) is 64645637604497572661666066183801313490824926910146936832
-
The
square root of 4013405804337216768 is 2003348647.7239094809 -
The
cube root of 4013405804337216768 is 1589172.4401915137
Scales and comparisons
How big is 4013405804337216768?- 4,013,405,804,337,216,768 seconds is equal to 127,613,890,298 years, 35 weeks, 18 hours, 52 minutes, 48 seconds.
-
To count from 1 to 4,013,405,804,337,216,768 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 4013405804337216768 cubic inches would be around 132431 feet tall.
Recreational maths with 4013405804337216768
- 4013405804337216768 backwards is 8676127334085043104
- 4013405804337216768 is a
Harshad number . - The number of decimal digits it has is: 19
- The sum of 4013405804337216768's digits is 72
- More coming soon!
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"Number 4013405804337216768 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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Numbermatics. (2024). Number 4013405804337216768 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/4013405804337216768/
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The information we have on file for 4013405804337216768 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 4013405804337216768, math, Factors of 4013405804337216768, curriculum, school, college, exams, university, Prime factorization of 4013405804337216768, STEM, science, technology, engineering, physics, economics, calculator, four quintillion, thirteen quadrillion, four hundred five trillion, eight hundred four billion, three hundred thirty-seven million, two hundred sixteen thousand, seven hundred sixty-eight.