42668166763135375
42,668,166,763,135,375 is an odd composite number composed of five prime numbers multiplied together.
What does the number 42668166763135375 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 672 divisors.
42668166763135375 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 42668166763135375:
53 × 76 × 11 × 172 × 973
(5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 11 × 17 × 17 × 97 × 97 × 97)See below for interesting mathematical facts about the number 42668166763135375 from the Numbermatics database.
Names of 42668166763135375
- Cardinal: 42668166763135375 can be written as Forty-two quadrillion, six hundred sixty-eight trillion, one hundred sixty-six billion, seven hundred sixty-three million, one hundred thirty-five thousand, three hundred seventy-five.
Scientific notation
- Scientific notation: 4.2668166763135375 × 1016
Factors of 42668166763135375
Divisors of 42668166763135375
- Number of divisors d(n): 672
-
Complete list of divisors:
1 5 7 11 17 25 35 49 55 77 85 97 119 125 175 187 245 275 289 343 385 425 485 539 595 679 833 875 935 1067 1225 1309 1375 1445 1649 1715 1925 2023 2125 2401 2425 2695 2975 3179 3395 3773 4165 4675 4753 5335 5831 6125 6545 7225 7469 8245 8575 9163 9409 9625 10115 11543 12005 12125 13475 14161 14875 15895 16807 16975 18139 18865 20825 22253 23375 23765 26411 26675 28033 29155 32725 33271 36125 37345 40817 41225 42875 45815 47045 50575 52283 57715 60025 64141 65863 67375 70805 79475 80801 84035 84875 90695 94325 99127 103499 104125 111265 117649 118825 126973 132055 133375 140165 145775 155771 159953 163625 166355 184877 186725 196231 204085 206125 229075 232897 235225 252875 261415 285719 288575 300125 308363 320705 329315 354025 365981 397375 404005 420175 448987 453475 461041 471625 495635 517495 556325 565607 588245 594125 634865 660275 693889 700825 724493 728875 778855 799765 831775 888811 912673 924385 933625 981155 1020425 1090397 1119671 1145375 1164485 1176125 1294139 1307075 1373617 1428595 1442875 1541815 1603525 1630279 1646575 1759483 1770125 1829905 2000033 2020025 2100875 2158541 2244935 2267375 2305205 2478175 2561867 2587475 2719201 2781625 2828035 2941225 3142909 3174325 3227287 3301375 3469445 3504125 3622465 3894275 3959249 3998825 4158875 4444055 4563365 4621925 4857223 4905775 5071451 5102125 5451985 5598355 5822425 6221677 6388711 6470695 6535375 6868085 7142975 7632779 7709075 7837697 8017625 8151395 8232875 8797415 9149525 9615319 10000165 10039403 10100125 10792705 11224675 11411953 11526025 12316381 12390875 12809335 12937375 13596005 14140175 14706125 15109787 15515441 15714545 15871625 16136435 17347225 17933069 18112325 19034407 19471375 19796245 19994125 22000363 22220275 22591009 22816825 23109625 24286115 24528875 25357255 27259925 27714743 27991775 29112125 29911211 31108385 31943555 32353475 34000561 34340425 35500157 35714875 38163895 38545375 39188485 40756975 43551739 43987075 44720977 45747625 48076595 50000825 50197015 53429453 53963525 54863879 56123375 57059765 57630125 61581905 64046675 67307233 67980025 70275821 70700875 75548935 77577205 78572725 80682175 86214667 86736125 89665345 90561625 95172035 98981225 105768509 108608087 110001815 111101375 112955045 114084125 121430575 125531483 126786275 133240849 136299625 138573715 139958875 149556055 155541925 158137063 159717775 161767375 170002805 170669851 171702125 177500785 190819475 194003201 195942425 203784875 209378477 217758695 219935375 223604885 240382975 248501099 250004125 250985075 263762497 267147265 269817625 274319395 285298825 304862173 307909525 313046839 320233375 336536165 339900125 351379105 374006171 377744675 384047153 387886025 392863625 403410875 431073335 448326725 471150631 475860175 491930747 494906125 528842545 543040435 550009075 564775225 603502669 607152875 627657415 633931375 666204245 692868575 740379563 747780275 760256609 777709625 790685315 798588875 850014025 853349255 887503925 932685943 954097375 970016005 979712125 1046892385 1088793475 1106959441 1118024425 1194688957 1201914875 1242505495 1254925375 1318812485 1335736325 1371596975 1426494125 1465649339 1524310865 1539547625 1565234195 1682680825 1739507693 1756895525 1846337479 1870030855 1888723375 1920235765 1939430125 2134035211 2155366675 2191327873 2241633625 2355753155 2379300875 2459653735 2644212725 2688330071 2715202175 2750045375 2823876125 2901387467 3017513345 3138287075 3298054417 3331021225 3443515229 3464342875 3701897815 3738901375 3801283045 3953426575 4224518683 4250070125 4266746275 4437519625 4663429715 4850080025 5182656941 5234461925 5321796263 5443967375 5534797205 5590122125 5973444785 6212527475 6528801601 6594062425 6678681625 6857984875 7328246695 7621554325 7826170975 8362822699 8413404125 8697538465 8784477625 9231687395 9350154275 9601178825 10259545373 10670176055 10776833375 10956639365 11778765775 12176553851 12298268675 12924362353 13221063625 13441650355 13576010875 14506937335 15087566725 15339295111 15691435375 16490272085 16655106125 17217576145 18509489075 18818310497 19006415225 19767132875 20309712269 21122593415 21333731375 23317148575 24104606603 24250400125 25913284705 26172309625 26608981315 27673986025 29571630781 29867223925 31062637375 32644008005 32970312125 36278598587 36641233475 37252573841 38107771625 39130854875 41814113495 43487692325 45701611207 46158436975 46750771375 48005894125 51297726865 53350880275 54783196825 58539758893 58893828875 60882769255 61491343375 64621811765 67208251775 71816817611 72534686675 75437833625 76696475555 82451360425 86087880725 90470536471 92547445375 94091552485 95032076125 101548561345 105612967075 107375065777 116585742875 120523033015 129566423525 133044906575 138369930125 142167985883 147858153905 149336119625 163220040025 168732246221 181392992935 183206167375 186262869205 207001415467 209070567475 217438461625 228508056035 230792184875 256488634325 260768016887 266754401375 273915984125 292698794465 304413846275 319911278449 323109058825 336041258875 359084088055 362673433375 383482377775 409778312251 412256802125 430439403625 452352682355 470457762425 502717723277 507742806725 528064835375 536875328885 602615165075 633293755297 647832117625 665224532875 710839929415 739290769525 816100200125 843661231105 906964964675 931314346025 995175901181 1035007077335 1045352837375 1142540280175 1181125723547 1282443171625 1303840084435 1463493972325 1522069231375 1599556392245 1615545294125 1795420440275 1825376118209 1917411888875 2048891561255 2261763411775 2352288812125 2513588616385 2538714033625 2684376644425 2868448185757 3013075825375 3166468776485 3519024062939 3554199647075 3696453847625 4218306155525 4433056287079 4534824823375 4656571730125 4975879505905 5175035386675 5712701400875 5905628617735 6519200422175 6966231308267 7317469861625 7997781961225 8977102201375 9126880591045 10244457806275 11308817058875 12567943081925 13421883222125 14342240928785 15832343882425 17595120314695 17770998235375 20079137300299 21091530777625 22165281435395 24879397529525 25875176933375 29528143088675 31031394009553 32596002110875 34831156541335 39988909806125 45634402955225 48763619157869 51222289031375 62839715409625 71711204643925 79161719412125 87975601573475 100395686501495 110826407176975 124396987647625 147640715443375 155156970047765 174155782706675 228172014776125 243818095789345 341345334105083 358556023219625 439878007867375 501978432507475 554132035884875 775784850238825 870778913533375 1219090478946725 1706726670525415 2509892162537375 3878924251194125 6095452394733625 8533633352627075 42668166763135375
- Sum of all divisors σ(n): 72743538254063040
- Sum of proper divisors (its aliquot sum) s(n): 30075371490927665
- 42668166763135375 is a deficient number, because the sum of its proper divisors (30075371490927665) is less than itself. Its deficiency is 12592795272207710
Bases of 42668166763135375
- Binary: 100101111001011001111000101110110010001001000001100011112
- Hexadecimal: 0x979678BB22418F
- Base-36: BO4LP7JCNM7
Squares and roots of 42668166763135375
- 42668166763135375 squared (426681667631353752) is 1820572454926730304320100576390625
- 42668166763135375 cubed (426681667631353753) is 77680489111184489567141496841314941745325755859375
-
The
square root of 42668166763135375 is 206562742.9212135899 -
The
cube root of 42668166763135375 is 349436.2810183091
Scales and comparisons
How big is 42668166763135375?- 42,668,166,763,135,375 seconds is equal to 1,356,715,721 years, 39 weeks, 4 days, 11 hours, 22 minutes, 55 seconds.
-
To count from 1 to 42,668,166,763,135,375 would take you about four billion, seventy million, one hundred forty-seven thousand, one hundred sixty-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 42668166763135375 cubic inches would be around 29119.7 feet tall.
Recreational maths with 42668166763135375
- 42668166763135375 backwards is 57353136766186624
- The number of decimal digits it has is: 17
- The sum of 42668166763135375's digits is 79
- More coming soon!
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The information we have on file for 42668166763135375 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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