420345374293100750
420,345,374,293,100,750 is an even composite number composed of six prime numbers multiplied together.
What does the number 420345374293100750 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 576 divisors.
420345374293100750 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 420345374293100750:
2 × 53 × 13 × 312 × 412 × 4313
(2 × 5 × 5 × 5 × 13 × 31 × 31 × 41 × 41 × 431 × 431 × 431)See below for interesting mathematical facts about the number 420345374293100750 from the Numbermatics database.
Names of 420345374293100750
- Cardinal: 420345374293100750 can be written as Four hundred twenty quadrillion, three hundred forty-five trillion, three hundred seventy-four billion, two hundred ninety-three million, one hundred thousand, seven hundred fifty.
Scientific notation
- Scientific notation: 4.2034537429310075 × 1017
Factors of 420345374293100750
Divisors of 420345374293100750
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 5 10 13 25 26 31 41 50 62 65 82 125 130 155 205 250 310 325 403 410 431 533 650 775 806 862 961 1025 1066 1271 1550 1625 1681 1922 2015 2050 2155 2542 2665 3250 3362 3875 4030 4310 4805 5125 5330 5603 6355 7750 8405 9610 10075 10250 10775 11206 12493 12710 13325 13361 16523 16810 17671 20150 21550 21853 24025 24986 26650 26722 28015 31775 33046 35342 39401 42025 43706 48050 50375 52111 53875 56030 62465 63550 66625 66805 78802 82615 84050 88355 100750 104222 107750 109265 120125 124930 133250 133610 140075 158875 165230 173693 176710 185761 197005 210125 218530 229723 240250 260555 280150 312325 317750 334025 347386 371522 394010 413075 414191 420250 441775 459446 512213 521110 546325 547801 624650 668050 677443 700375 724511 826150 828382 868465 883550 928805 985025 1024426 1092650 1095602 1148615 1302775 1354886 1400750 1449022 1561625 1615441 1670125 1736930 1857610 1970050 2065375 2070955 2208875 2297230 2414893 2561065 2605550 2731625 2739005 3123250 3230882 3340250 3387215 3622555 4130750 4141910 4342325 4417750 4644025 4829786 4925125 5122130 5384483 5463250 5478010 5743075 5758591 6513875 6774430 7121413 7245110 7616201 8077205 8684650 9288050 9418643 9850250 10354775 10768966 11486150 11517182 12074465 12805325 13027750 13695025 14242826 15232402 16154410 16936075 16981831 18112775 18837286 20709550 21000733 21711625 22459841 23220125 24148930 25610650 26922415 27390050 28715375 28792955 33872150 33963662 35607065 36225550 38081005 40386025 42001466 43423250 44919682 46440250 47093215 51773875 53844830 57430750 57585910 60372325 64026625 68475125 71214130 74861683 76162010 80062991 80772050 84680375 84909155 90563875 94186430 99010613 103547750 105003665 112299205 120744650 128053250 134612075 136950250 143964775 149723366 160125982 169360750 169818310 178035325 178516321 181127750 190405025 198021226 201930125 210007330 220763803 224598410 235466075 236102231 269224150 287929550 291977933 301861625 312264241 356070650 357032642 374308415 380810050 400314955 403860250 424545775 441527606 470932150 472204462 495053065 525018325 561496025 583955866 603723250 624528482 673060375 696255071 719823875 748616830 800629910 849091550 890176625 892581605 952025125 990106130 1040818883 1050036650 1103819015 1122992050 1177330375 1180511155 1346120750 1392510142 1439647750 1459889665 1561321205 1780353250 1785163210 1871542075 1904050250 2001574775 2081637766 2122728875 2207638030 2320712173 2354660750 2361022310 2475265325 2481952721 2625091625 2807480125 2919779330 3069329003 3122642410 3282582631 3481275355 3743084150 4003149550 4059435133 4245457750 4462908025 4641424346 4950530650 4963905442 5204094415 5250183250 5519095075 5614960250 5902555775 6138658006 6565165262 6962550710 7299448325 7319169161 7806606025 8118870266 8925816050 9051315923 9357710375 9680191471 10007873875 10408188830 11038190150 11603560865 11805111550 12376326625 12409763605 14598896650 14638338322 15346645015 15613212050 16412913155 17406376775 18102631846 18715420750 19360382942 20015747750 20297175665 22314540125 23207121730 24752653250 24819527210 26020472075 27595475375 29512778875 30693290030 32265385373 32825826310 34812753550 36497241625 36595845805 39033030125 40594351330 42673574203 44629080250 45256579615 48400957355 52040944150 55190950750 58017804325 59025557750 62048818025 64530770746 72994483250 73191691610 76733225075 76940534351 78066060250 82064565775 85347148406 87031883875 90513159230 95149199093 96801914710 101485878325 101760061561 116035608650 124097636050 125842489123 130102360375 134585887871 153466450150 153881068702 161326926865 164129131550 174063767750 182979229025 190298398186 202971756650 203520123122 213367871015 226282898075 242004786775 251684978246 260204720750 269171775742 290089021625 300085935601 310244090125 322653853730 365958458050 383666125375 384702671755 410322828875 426735742030 452565796150 475745995465 484009573550 507429391625 508800307805 580178043250 600171871202 620488180250 629212445615 672929439355 767332250750 769405343510 806634634325 820645657750 914896145125 951491990930 1000226946563 1014858783250 1017600615610 1066839355075 1131414490375 1210023933875 1258424891230 1322880800293 1345858878710 1500429678005 1613269268650 1749616542323 1829792290250 1923513358775 2000453893126 2133678710150 2262828980750 2378729977325 2420047867750 2544001539025 2645761600586 3000859356010 3146062228075 3154561908391 3364647196775 3499233084646 3847026717550 3901117162813 4033173171625 4172162524001 4757459954650 5001134732815 5088003078050 5334196775375 6292124456150 6309123816782 6614404001465 6729294393550 7502148390025 7802234325626 8066346343250 8344325048002 8748082711615 9617566793875 10002269465630 10668393550750 11893649886625 12720007695125 13228808002930 15004296780050 15730311140375 15772809541955 16823235983875 17496165423230 19235133587750 19505585814065 20860812620005 23787299773250 25005673664075 25440015390250 31460622280750 31545619083910 33072020007325 33646471967750 37510741950125 39011171628130 41009304809083 41721625240010 43740413558075 50011347328150 54238112812013 66144040014650 75021483900250 78864047709775 82018609618166 87480827116150 97527929070325 104304063100025 108476225624026 125028368320375 129337038244031 157728095419550 165360100036625 195055858140650 205046524045415 208608126200050 218702067790375 250056736640750 258674076488062 271190564060065 330720200073250 394320238548875 410093048090830 437404135580750 487639645351625 521520315500125 542381128120130 646685191220155 788640477097750 975279290703250 1025232620227075 1043040631000250 1293370382440310 1355952820300325 1681381497172403 2050465240454150 2711905640600650 3233425956100775 3362762994344806 5126163101135375 6466851912201550 6779764101501625 8406907485862015 10252326202270750 13559528203003250 16167129780503875 16813814971724030 32334259561007750 42034537429310075 84069074858620150 210172687146550375 420345374293100750
- Sum of all divisors σ(n): 899599156902980352
- Sum of proper divisors (its aliquot sum) s(n): 479253782609879602
- 420345374293100750 is an abundant number, because the sum of its proper divisors (479253782609879602) is greater than itself. Its abundance is 58908408316778852
Bases of 420345374293100750
- Binary: 101110101010101110111100100000011011011100000001000110011102
- Hexadecimal: 0x5D55DE40DB808CE
- Base-36: 36YVZZ4A5YOE
Squares and roots of 420345374293100750
- 420345374293100750 squared (4203453742931007502) is 176690233689606964842769049650562500
- 420345374293100750 cubed (4203453742931007503) is 74270922414193279561937675971629503902242106671875000
-
The
square root of 420345374293100750 is 648340477.1361269481 -
The
cube root of 420345374293100750 is 749092.4574015141
Scales and comparisons
How big is 420345374293100750?- 420,345,374,293,100,750 seconds is equal to 13,365,682,688 years, 47 weeks, 1 day, 17 hours, 45 minutes, 50 seconds.
-
To count from 1 to 420,345,374,293,100,750 would take you about forty billion, ninety-seven million, forty-eight thousand and sixty-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 420345374293100750 cubic inches would be around 62424.4 feet tall.
Recreational maths with 420345374293100750
- 420345374293100750 backwards is 057001392473543024
- The number of decimal digits it has is: 18
- The sum of 420345374293100750's digits is 59
- More coming soon!
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