42157337314709760
42,157,337,314,709,760 is an even composite number composed of eight prime numbers multiplied together.
What does the number 42157337314709760 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2592 divisors.
42157337314709760 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 42157337314709760:
28 × 3 × 5 × 112 × 132 × 233 × 1103 × 2089
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 11 × 13 × 13 × 233 × 1103 × 2089)See below for interesting mathematical facts about the number 42157337314709760 from the Numbermatics database.
Names of 42157337314709760
- Cardinal: 42157337314709760 can be written as Forty-two quadrillion, one hundred fifty-seven trillion, three hundred thirty-seven billion, three hundred fourteen million, seven hundred nine thousand, seven hundred sixty.
Scientific notation
- Scientific notation: 4.215733731470976 × 1016
Factors of 42157337314709760
Divisors of 42157337314709760
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 32 33 39 40 44 48 52 55 60 64 65 66 78 80 88 96 104 110 120 121 128 130 132 143 156 160 165 169 176 192 195 208 220 233 240 242 256 260 264 286 312 320 330 338 352 363 384 390 416 429 440 466 480 484 507 520 528 572 605 624 640 660 676 699 704 715 726 768 780 832 845 858 880 932 960 968 1014 1040 1056 1103 1144 1165 1210 1248 1280 1320 1352 1398 1408 1430 1452 1560 1573 1664 1690 1716 1760 1815 1859 1864 1920 1936 2028 2080 2089 2112 2145 2206 2288 2330 2420 2496 2535 2563 2640 2704 2796 2816 2860 2904 3029 3120 3146 3309 3328 3380 3432 3495 3520 3630 3718 3728 3840 3872 4056 4160 4178 4224 4290 4412 4576 4660 4719 4840 4992 5070 5126 5280 5408 5515 5577 5592 5720 5808 6058 6240 6267 6292 6618 6760 6864 6990 7040 7260 7436 7456 7689 7744 7865 8112 8320 8356 8448 8580 8824 9087 9152 9295 9320 9438 9680 9984 10140 10252 10445 10560 10816 11030 11154 11184 11440 11616 12116 12133 12480 12534 12584 12815 13236 13520 13728 13980 14080 14339 14520 14872 14912 15145 15378 15488 15730 16224 16545 16640 16712 17160 17648 18174 18304 18590 18640 18876 19360 20280 20449 20504 20890 21120 21632 22060 22308 22368 22880 22979 23232 23595 24232 24266 24960 25068 25168 25630 26472 27040 27157 27456 27885 27960 28193 28678 29040 29744 29824 30290 30756 30976 31335 31460 32448 33090 33319 33424 34320 35296 36348 36399 36608 37180 37280 37752 38445 38720 39377 40560 40898 41008 41780 42240 43017 43264 44120 44616 44736 45435 45760 45958 46464 47190 48464 48532 49920 50136 50336 51260 52944 54080 54314 54912 55770 55920 56386 57356 58080 59488 59648 60580 60665 61347 61512 62670 62920 64896 66180 66638 66848 68640 68937 70592 71695 72696 72798 74360 74560 75504 76890 77440 78754 81120 81471 81796 82016 83560 84579 86034 88240 89232 89472 90870 91520 91916 92928 94380 96928 97064 99957 100272 100672 102245 102520 105888 108160 108628 109824 111540 111840 112772 114712 114895 116160 118131 118976 121160 121330 122694 123024 125340 125840 129792 132360 133276 133463 133696 135785 137280 137874 140965 141184 143390 145392 145596 148720 149120 151008 153780 154880 157508 157729 162240 162942 163592 164032 166595 167120 169158 172068 176480 178464 178944 181740 181995 183040 183832 186407 188760 193856 194128 196885 199914 200544 201344 204490 205040 211776 215085 216320 217256 223080 223680 225544 229424 229790 232320 236262 237952 242320 242660 245388 246048 250680 251680 252769 256999 264720 266552 266926 267392 271570 274560 275748 281930 282368 286780 290784 291192 297440 298240 298727 302016 306735 307560 315016 315458 324480 325884 327184 328064 333190 334240 338316 344136 344685 352960 353041 356928 363480 363990 366509 367664 372814 377520 387712 388256 393770 399828 400389 401088 402688 407355 408980 410080 422895 423552 430170 433147 434512 446160 447360 451088 458848 459580 464640 472524 473187 475904 484640 485320 486737 490776 492096 499785 501360 503360 505538 513998 529440 533104 533852 534784 543140 549120 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356869384960 362924735836 366920556288 367505904480 373828054080 376943287864 377957121344 383862701365 388089049920 389768281386 398131396520 411210859488 412316859648 418759310580 420429804080 421754727680 434325159840 434934562920 446676597952 453655919795 458650695360 460635241638 463930200448 471179109830 472446401680 477757675824 490007872640 498437405440 504515764896 514013574360 515396074560 517452066560 519691041848 535304077440 544387103754 548281145984 558345747440 565414931796 566935682016 579100213120 579912750560 588009447168 597197094780 611534260480 614180322184 630644706120 632632091520 637010234432 649613802310 670014896928 672687686528 685351432480 687194766080 694920255744 695895300672 706768664745 708669602520 725849471672 735011808960 747656108160 753886575728 755914242688 767725402730 776178099840 779536562772 796262793040 822421718976 837518621160 840859608160 844497943003 868650319680 869869125840 893353195904 907311839590 917301390720 921270483276 927860400896 942358219660 944892803360 955515351648 974420703465 980015745280 998043023549 1009031529792 1028027148720 1030792149120 1039382083696 1070608154880 1088774207508 1096562291968 1116691494880 1130829863592 1133871364032 1151588104095 1158200426240 1159825501120 1194394189560 1228360644368 1261289412240 1265264183040 1274020468864 1299227604620 1340029793856 1345375373056 1360967759385 1370702864960 1391790601344 1413537329490 1417339205040 1451698943344 1470023617920 1495312216320 1507773151456 1511828485376 1535450805460 1552356199680 1559073125544 1592525586080 1644843437952 1675037242320 1681719216320 1688995886006 1737300639360 1739738251680 1786706391808 1814623679180 1834602781440 1842540966552 1884716439320 1889785606720 1911030703296 1948841406930 1996086047098 2018063059584 2056054297440 2061584298240 2078764167392 2177548415016 2233382989760 2261659727184 2267742728064 2303176208190 2319651002240 2388788379120 2456721288736 2522578824480 2533493829009 2548040937728 2598455209240 2680059587712 2721935518770 2741405729920 2783581202688 2827074658980 2834678410080 2903397886688 2940047235840 2994129070647 3015546302912 3070901610920 3118146251088 3185051172160 3289686875904 3350074484640 3363438432640 3377991772012 3474601278720 3479476503360 3629247358360 3685081933104 3769432878640 3779571213440 3822061406592 3897682813860 3992172094196 4036126119168 4112108594880 4157528334784 4222489715015 4355096830032 4466765979520 4523319454368 4535485456128 4606352416380 4639302004480 4777576758240 4913442577472 4990215117745 5045157648960 5066987658018 5196910418480 5360119175424 5443871037540 5482811459840 5654149317960 5669356820160 5806795773376 5988258141294 6031092605824 6141803221840 6236292502176 6370102344320 6700148969280 6726876865280 6755983544024 6958953006720 7258494716720 7370163866208 7538865757280 7559142426880 7644122813184 7795365627720 7984344188392 8224217189760 8315056669568 8444979430030 8710193660064 8933531959040 9046638908736 9212704832760 9555153516480 9826885154944 9980430235490 10090315297920 10133975316036 10393820836960 10887742075080 10978473259039 11308298635920 11338713640320 11613591546752 11976516282588 12062185211648 12283606443680 12472585004352 12667469145045 12740204688640 13400297938560 13511967088048 13917906013440 14516989433440 14740327732416 14970645353235 15077731514560 15590731255440 15968688376784 16448434379520 16630113339136 16889958860060 17420387320128 18093277817472 18425409665520 19110307032960 19653770309888 19960860470980 20180630595840 20267950632072 20787641673920 21775484150160 21956946518078 22616597271840 22677427280640 23227183093504 23953032565176 24567212887360 24945170008704 25334938290090 26800595877120 27023934176096 29033978866880 29480655464832 29941290706470 30155463029120 31181462510880 31937376753568 32935419777117 33779917720120 34840774640256 36186555634944 36850819331040 38220614065920 39921720941960 40535901264144 41575283347840 43550968300320 43913893036156 45233194543680 47906065130352 49134425774720 49890340017408 50669876580180 54047868352192 54892366295195 58067957733760 58961310929664 59882581412940 60310926058240 62362925021760 63874753507136 65870839554234 67559835440240 69681549280512 73701638662080 79843441883920 81071802528288 83150566695680 87101936600640 87827786072312 90466389087360 95812130260704 98268851549440 101339753160360 108095736704384 109784732590390 116135915467520 119765162825880 124725850043520 127749507014272 131741679108468 135119670880480 147403277324160 159686883767840 162143605056576 164677098885585 174203873201280 175655572144624 180932778174720 191624260521408 202679506320720 216191473408768 219569465180780 239530325651760 249451700087040 255499014028544 263483358216936 270239341760960 294806554648320 319373767535680 324287210113152 329354197771170 348407746402560 351311144289248 383248521042816 405359012641440 439138930361560 479060651303520 526966716433872 540478683521920 638747535071360 648574420226304 658708395542340 702622288578496 766497042085632 810718025282880 878277860723120 958121302607040 1053933432867744 1080957367043840 1277495070142720 1317416791084680 1405244577156992 1621436050565760 1756555721446240 1916242605214080 2107866865735488 2634833582169360 2810489154313984 3242872101131520 3513111442892480 3832485210428160 4215733731470976 5269667164338720 7026222885784960 8431467462941952 10539334328677440 14052445771569920 21078668657354880 42157337314709760
- Sum of all divisors σ(n): 161163276985751040
- Sum of proper divisors (its aliquot sum) s(n): 119005939671041280
- 42157337314709760 is an abundant number, because the sum of its proper divisors (119005939671041280) is greater than itself. Its abundance is 76848602356331520
Bases of 42157337314709760
- Binary: 100101011100010111011111111110110101000111010001000000002
- Hexadecimal: 0x95C5DFFB51D100
- Base-36: BJ3J1EEZFUO
Squares and roots of 42157337314709760
- 42157337314709760 squared (421573373147097602) is 1777241089466219918060473039257600
- 42157337314709760 cubed (421573373147097603) is 74923752098189699929840346815428008682429874176000
-
The
square root of 42157337314709760 is 205322520.2327055015 -
The
cube root of 42157337314709760 is 348036.1781284839
Scales and comparisons
How big is 42157337314709760?- 42,157,337,314,709,760 seconds is equal to 1,340,472,925 years, 20 weeks, 6 days, 4 hours, 16 minutes.
-
To count from 1 to 42,157,337,314,709,760 would take you about four billion, twenty-one million, four hundred eighteen thousand, seven hundred seventy-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 42157337314709760 cubic inches would be around 29003 feet tall.
Recreational maths with 42157337314709760
- 42157337314709760 backwards is 06790741373375124
- The number of decimal digits it has is: 17
- The sum of 42157337314709760's digits is 69
- More coming soon!
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"Number 42157337314709760 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 42157337314709760 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/42157337314709760/
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Numbermatics. 2024. "Number 42157337314709760 - Facts about the integer". https://numbermatics.com/n/42157337314709760/
The information we have on file for 42157337314709760 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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