42097958963441664
42,097,958,963,441,664 is an even composite number composed of six prime numbers multiplied together.
42097958963441664 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred thirty-six divisors.
Prime factorization of 42097958963441664:
212 × 3 × 19 × 232 × 47 × 26932
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 19 × 23 × 23 × 47 × 2693 × 2693)See below for interesting mathematical facts about the number 42097958963441664 from the Numbermatics database.
Names of 42097958963441664
- Cardinal: 42097958963441664 can be written as Forty-two quadrillion, ninety-seven trillion, nine hundred fifty-eight billion, nine hundred sixty-three million, four hundred forty-one thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 4.2097958963441664 × 1016
Factors of 42097958963441664
Divisors of 42097958963441664
- Number of divisors d(n): 936
-
Complete list of divisors:
1 2 3 4 6 8 12 16 19 23 24 32 38 46 47 48 57 64 69 76 92 94 96 114 128 138 141 152 184 188 192 228 256 276 282 304 368 376 384 437 456 512 529 552 564 608 736 752 768 874 893 912 1024 1058 1081 1104 1128 1216 1311 1472 1504 1536 1587 1748 1786 1824 2048 2116 2162 2208 2256 2432 2622 2679 2693 2944 3008 3072 3174 3243 3496 3572 3648 4096 4232 4324 4416 4512 4864 5244 5358 5386 5888 6016 6144 6348 6486 6992 7144 7296 8079 8464 8648 8832 9024 9728 10051 10488 10716 10772 11776 12032 12288 12696 12972 13984 14288 14592 16158 16928 17296 17664 18048 19456 20102 20539 20976 21432 21544 23552 24064 24863 25392 25944 27968 28576 29184 30153 32316 33856 34592 35328 36096 38912 40204 41078 41952 42864 43088 47104 48128 49726 50784 51167 51888 55936 57152 58368 60306 61617 61939 64632 67712 69184 70656 72192 74589 77824 80408 82156 83904 85728 86176 94208 96256 99452 101568 102334 103776 111872 114304 116736 120612 123234 123878 126571 129264 135424 138368 141312 144384 149178 153501 160816 164312 167808 171456 172352 185817 192512 198904 203136 204668 207552 223744 228608 233472 241224 246468 247756 253142 258528 270848 276736 282624 288768 298356 307002 321632 328624 335616 342912 344704 371634 379713 397808 406272 409336 415104 447488 457216 472397 482448 492936 495512 506284 517056 541696 553472 577536 596712 614004 643264 657248 671232 685824 689408 743268 759426 795616 812544 818672 830208 894976 914432 944794 964896 985872 991024 1012568 1034112 1083392 1106944 1176841 1193424 1228008 1286528 1314496 1342464 1371648 1378816 1417191 1424597 1486536 1518852 1591232 1625088 1637344 1660416 1789952 1828864 1889588 1929792 1971744 1982048 2025136 2068224 2166784 2213888 2353682 2386848 2404849 2456016 2573056 2628992 2684928 2743296 2757632 2834382 2849194 2911133 2973072 3037704 3182464 3250176 3274688 3320832 3530523 3657728 3779176 3859584 3943488 3964096 4050272 4136448 4273791 4427776 4707364 4773696 4809698 4912032 5146112 5257984 5369856 5486592 5515264 5668764 5698388 5822266 5946144 6075408 6364928 6500352 6549376 6641664 7061046 7214547 7252249 7558352 7719168 7886976 7928192 8100544 8272896 8547582 8733399 9414728 9547392 9619396 9824064 10292224 10515968 10973184 11030528 11337528 11396776 11644532 11892288 12150816 12729856 13098752 13283328 14122092 14429094 14504498 15116704 15438336 15773952 15856384 16201088 16545792 17095164 17466798 18829456 19094784 19238792 19648128 20584448 21031936 21756747 22675056 22793552 23289064 23784576 24301632 25459712 26197504 27067343 28244184 28858188 29008996 30233408 30876672 31547904 31712768 32402176 33091584 34190328 34933596 37658912 38189568 38477584 39296256 41168896 42063872 43513494 45350112 45587104 46578128 47569152 48603264 50919424 52395008 54134686 55311527 56488368 57716376 58017992 60466816 61753344 63095808 63425536 64804352 66956059 68380656 69867192 75317824 76379136 76955168 78592512 81202029 84127744 87026988 90700224 91174208 93156256 95138304 97206528 101838848 104790016 108269372 110623054 112976736 115432752 116035984 120933632 123506688 126191616 126851072 129608704 133912118 136761312 137792731 139734384 150635648 152758272 153910336 157185024 162404058 165934581 166801727 174053976 181400448 182348416 186312512 190276608 194413056 200868177 209580032 216538744 221246108 225953472 230865504 232071968 241867264 252383232 253702144 259217408 267824236 273522624 275585462 279468768 301271296 305516544 307820672 314370048 324808116 331869162 333603454 340855703 348107952 362800896 364696832 372625024 380553216 388826112 401736354 413378193 433077488 442492216 451906944 461731008 464143936 483734528 500405181 518434816 535648472 547045248 551170924 558937536 602542592 615641344 628740096 649616232 663738324 667206908 681711406 696215904 725601792 729393664 745250048 761106432 777652224 803472708 826756386 866154976 884984432 903813888 923462016 928287872 967469056 1000810362 1022567109 1071296944 1094090496 1102341848 1117875072 1205085184 1231282688 1272165121 1299232464 1327476648 1334413816 1363422812 1392431808 1451203584 1458787328 1490500096 1555304448 1606945416 1653512772 1732309952 1769968864 1807627776 1846924032 1856575744 1934938112 2001620724 2045134218 2142593888 2188180992 2204683696 2235750144 2410170368 2462565376 2544330242 2598464928 2654953296 2668827632 2726845624 2784863616 2902407168 2917574656 2981000192 3169232813 3213890832 3307025544 3464619904 3539937728 3615255552 3693848064 3713151488 3816495363 3836439721 4003241448 4090268436 4285187776 4376361984 4409367392 4471500288 4820340736 4925130752 5088660484 5196929856 5309906592 5337655264 5453691248 5569727232 5804814336 5835149312 5962000384 6338465626 6427781664 6476258357 6614051088 6929239808 7079875456 7230511104 7387696128 7426302976 7632990726 7672879442 7839681169 8006482896 8180536872 8570375552 8752723968 8818734784 8943000576 9507698439 9850261504 10177320968 10393859712 10619813184 10675310528 10907382496 11139454464 11509319163 11924000768 12676931252 12855563328 12952516714 13228102176 13858479616 14159750912 14461022208 14775392256 14852605952 15265981452 15345758884 15679362338 16012965792 16361073744 17140751104 17505447936 17637469568 17886001152 19015396878 19428775071 20354641936 20787719424 21239626368 21350621056 21814764992 22278908928 23018638326 23519043507 25353862504 25711126656 25905033428 26456204352 27716959232 28319501824 29550784512 29705211904 30531962904 30691517768 31358724676 32025931584 32722147488 34281502208 35274939136 35772002304 38030793756 38857550142 40709283872 41575438848 42479252736 42701242112 43629529984 44557817856 46037276652 47038087014 50707725008 51422253312 51810066856 52912408704 55433918464 56639003648 61063925808 61383035536 62717449352 64051863168 65444294976 68563004416 70549878272 72892354699 76061587512 77715100284 81418567744 83150877696 84958505472 85402484224 87259059968 89115635712 92074553304 94076174028 101415450016 102844506624 103620133712 105824817408 110867836928 113278007296 122127851616 122766071072 125434898704 128103726336 130888589952 137126008832 141099756544 145784709398 148953942211 152123175024 155430200568 162837135488 166301755392 169917010944 170804968448 174518119936 180312666887 184149106608 188152348056 202830900032 205689013248 207240267424 211649634816 218677064097 226556014592 244255703232 245532142144 250869797408 256207452672 261777179904 274252017664 282199513088 291569418796 297907884422 304246350048 310860401136 325674270976 332603510784 339834021888 341609936896 349036239872 360625333774 368298213216 376304696112 405661800064 411378026496 414480534848 423299269632 437354128194 446861826633 488511406464 491064284288 501739594816 512414905344 523554359808 540938000661 564399026176 583138837592 595815768844 608492700096 621720802272 651348541952 679668043776 683219873792 698072479744 721250667548 736596426432 752609392224 811323600128 822756052992 828961069696 846598539264 874708256388 893723653266 977022812928 982128568576 1003479189632 1024829810688 1047108719616 1081876001322 1166277675184 1191631537688 1216985400192 1243441604544 1302697083904 1396144959488 1442501335096 1473192852864 1505218784448 1622647200256 1657922139392 1693197078528 1749416512776 1787447306532 1954045625856 1964257137152 2006958379264 2049659621376 2094217439232 2163752002644 2332555350368 2383263075376 2433970800384 2486883209088 2605394167808 2885002670192 2946385705728 3010437568896 3245294400512 3315844278784 3425940670853 3498833025552 3574894613064 3908091251712 3928514274304 4013916758528 4188434878464 4327504005288 4665110700736 4766526150752 4867941600768 4973766418176 5210788335616 5770005340384 5892771411456 6020875137792 6490588801024 6631688557568 6851881341706 6997666051104 7149789226128 7816182503424 7857028548608 8027833517056 8655008010576 9330221401472 9533052301504 9735883201536 9947532836352 10277822012559 11540010680768 11785542822912 12041750275584 12981177602048 13263377115136 13703762683412 13995332102208 14299578452256 15632365006848 15714057097216 16055667034112 17310016021152 18660442802944 19066104603008 19471766403072 19895065672704 20555644025118 23080021361536 23571085645824 24083500551168 26526754230272 27407525366824 27990664204416 28599156904512 32111334068224 34620032042304 37320885605888 38132209206016 38943532806144 39790131345408 41111288050236 46160042723072 47142171291648 48167001102336 54815050733648 55981328408832 57198313809024 69240064084608 74641771211776 76264418412032 79580262690816 82222576100472 92320085446144 96334002204672 109630101467296 111962656817664 114396627618048 138480128169216 149283542423552 152528836824064 164445152200944 184640170892288 219260202934592 223925313635328 228793255236096 276960256338432 298567084847104 305057673648128 328890304401888 369280341784576 438520405869184 447850627270656 457586510472192 553920512676864 610115347296256 657780608803776 738560683569152 877040811738368 895701254541312 915173020944384 1107841025353728 1315561217607552 1754081623476736 1830346041888768 2215682050707456 2631122435215104 3508163246953472 5262244870430208 7016326493906944 10524489740860416 14032652987813888 21048979481720832 42097958963441664
- Sum of all divisors σ(n): 126190681637717760
- Sum of proper divisors (its aliquot sum) s(n): 84092722674276096
- 42097958963441664 is an abundant number, because the sum of its proper divisors (84092722674276096) is greater than itself. Its abundance is 41994763710834432
Bases of 42097958963441664
- Binary: 100101011000111111011110111000011100100011110000000000002
- Hexadecimal: 0x958FDEE1C8F000
- Base-36: BIIHBD1QQYO
Squares and roots of 42097958963441664
- 42097958963441664 squared (420979589634416642) is 1772238148887618341264063931088896
- 42097958963441664 cubed (420979589634416643) is 74607608865316774819130993984664855245035294162944
-
The
square root of 42097958963441664 is 205177871.5247861811 -
The
cube root of 42097958963441664 is 347872.6990766517
Scales and comparisons
How big is 42097958963441664?- 42,097,958,963,441,664 seconds is equal to 1,338,584,877 years, 26 weeks, 4 hours, 54 minutes, 24 seconds.
-
To count from 1 to 42,097,958,963,441,664 would take you about four billion, fifteen million, seven hundred fifty-four thousand, six hundred thirty-two 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 42097958963441664 cubic inches would be around 28989.4 feet tall.
Recreational maths with 42097958963441664
- 42097958963441664 backwards is 46614436985979024
- The number of decimal digits it has is: 17
- The sum of 42097958963441664's digits is 87
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 42097958963441664 - Facts about the integer". Numbermatics.com. 2024. Web. 23 September 2024.
APA style:
Numbermatics. (2024). Number 42097958963441664 - Facts about the integer. Retrieved 23 September 2024, from https://numbermatics.com/n/42097958963441664/
Chicago style:
Numbermatics. 2024. "Number 42097958963441664 - Facts about the integer". https://numbermatics.com/n/42097958963441664/
The information we have on file for 42097958963441664 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 42097958963441664, math, Factors of 42097958963441664, curriculum, school, college, exams, university, Prime factorization of 42097958963441664, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, ninety-seven trillion, nine hundred fifty-eight billion, nine hundred sixty-three million, four hundred forty-one thousand, six hundred sixty-four.