42201657560809440
42,201,657,560,809,440 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42201657560809440 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1296 divisors.
42201657560809440 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 42201657560809440:
25 × 32 × 5 × 732 × 972 × 373 × 1567
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 73 × 73 × 97 × 97 × 373 × 1567)See below for interesting mathematical facts about the number 42201657560809440 from the Numbermatics database.
Names of 42201657560809440
- Cardinal: 42201657560809440 can be written as Forty-two quadrillion, two hundred one trillion, six hundred fifty-seven billion, five hundred sixty million, eight hundred nine thousand, four hundred forty.
Scientific notation
- Scientific notation: 4.220165756080944 × 1016
Factors of 42201657560809440
Divisors of 42201657560809440
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 73 80 90 96 97 120 144 146 160 180 194 219 240 288 291 292 360 365 373 388 438 480 485 582 584 657 720 730 746 776 873 876 970 1095 1119 1164 1168 1314 1440 1455 1460 1492 1552 1567 1746 1752 1865 1940 2190 2238 2328 2336 2628 2910 2920 2984 3104 3134 3285 3357 3492 3504 3730 3880 4365 4380 4476 4656 4701 5256 5329 5595 5820 5840 5968 6268 6570 6714 6984 7008 7081 7460 7760 7835 8730 8760 8952 9312 9402 9409 10512 10658 11190 11640 11680 11936 12536 13140 13428 13968 14103 14162 14920 15520 15670 15987 16785 17460 17520 17904 18804 18818 21024 21243 21316 22380 23280 23505 25072 26280 26645 26856 27229 27936 28206 28227 28324 29840 31340 31974 33570 34920 35040 35405 35808 36181 37608 37636 42486 42632 44760 46560 47010 47045 47961 50144 52560 53290 53712 54458 56412 56454 56648 59680 62680 63729 63948 67140 69840 70515 70810 72362 75216 75272 79935 81687 84681 84972 85264 89520 94020 94090 95922 105120 106215 106580 107424 108543 108916 112824 112908 113296 114391 125360 127458 127896 134280 136145 139680 141030 141135 141620 144724 150432 150544 151999 159870 163374 169362 169944 170528 179040 180905 188040 188180 191844 212430 213160 217086 217832 225648 225816 226592 228782 239805 245061 250720 254916 255792 268560 272290 282060 282270 283240 289448 301088 303998 318645 319740 325629 326748 338724 339888 343173 361810 376080 376360 383688 408435 423405 424860 426320 434172 435664 451296 451632 455997 457564 479610 490122 509832 511584 516913 537120 542715 544580 564120 564540 566480 571955 578896 584491 607996 637290 639480 651258 653496 677448 679776 686346 686857 723620 752160 752720 759995 767376 816870 846810 849720 852640 868344 871328 903264 911994 915128 959220 980244 1019664 1029519 1033826 1085430 1089160 1128240 1129080 1132960 1143910 1157792 1168982 1215992 1225305 1274580 1278960 1302516 1306992 1354896 1367991 1372692 1373714 1447240 1505440 1519990 1534752 1550739 1628145 1633740 1693620 1699440 1715865 1736688 1753473 1823988 1830256 1918440 1960488 1987717 2039328 2059038 2060571 2067652 2170860 2178320 2256480 2258160 2279985 2287820 2337964 2431984 2450610 2549160 2557920 2584565 2605032 2613984 2641213 2709792 2735982 2745384 2747428 2894480 2922455 3039980 3101478 3256290 3267480 3387240 3398880 3431730 3434285 3473376 3506946 3509557 3647976 3660512 3836880 3920976 3975434 4118076 4121142 4135304 4341720 4356640 4516320 4559970 4575640 4652217 4675928 4863968 4901220 5098320 5147595 5169130 5210064 5260419 5282426 5471964 5490768 5494856 5788960 5844910 5963151 6079960 6181713 6202956 6512580 6534960 6774480 6839955 6863460 6868570 7013892 7019114 7295952 7673760 7753695 7841952 7923639 7950868 8236152 8242284 8270608 8350543 8683440 8767365 9119940 9151280 9304434 9351856 9802440 9938585 10196640 10295190 10302855 10338260 10420128 10520838 10528671 10564852 10943928 10981536 10989712 11095927 11689820 11926302 12159920 12363426 12405912 13025160 13069920 13206065 13548960 13679910 13726920 13737140 14027784 14038228 14591904 14743903 15507390 15847278 15901736 16472304 16484568 16541216 16701086 17366880 17534730 17547785 17889453 18239880 18302560 18608868 18703712 19604880 19877170 20590380 20605710 20676520 21041676 21057342 21129704 21887856 21979424 22191854 23261085 23379640 23770917 23852604 24319840 24726852 24811824 25051629 26050320 26302095 26412130 27359820 27453840 27474280 28055568 28076456 29487806 29815755 30908565 31014780 31586013 31694556 31803472 32944608 32969136 33287781 33402172 35069460 35095570 35778906 36479760 37217736 39209760 39618195 39754340 41180760 41211420 41353040 41752715 42083352 42114684 42259408 42667843 43775712 44231709 44383708 46522170 46759280 47541834 47705208 49453704 49623648 50103258 50140561 52100640 52604190 52643355 52824260 54719640 54907680 54948560 55479635 56111136 56152912 56695627 58975612 59631510 61817130 62029560 63172026 63389112 63606944 65938272 66575562 66804344 70138920 70191140 71557812 72959520 73719515 74435472 75154887 79236390 79508680 82361520 82422840 82706080 83505430 84166704 84229368 84518816 85335686 88463418 88767416 89447265 93044340 93518560 95083668 95410416 98907408 99863343 100206516 100281122 105208380 105286710 105648520 109439280 109897120 110959270 112305824 113391254 117951224 118854585 119263020 123634260 124059120 125258145 126344052 126778224 128003529 132695127 133151124 133608688 140277840 140382280 143115624 147439030 148870944 150309774 150421683 157930065 158472780 159017360 164723040 164845680 166438905 167010860 168333408 168458736 170086881 170671372 176926836 177534832 178894530 186088680 190167336 190820832 192808549 197814816 199726686 200413032 200562244 210416760 210573420 211297040 213339215 218878560 221158545 221918540 226782508 235902448 237709170 238526040 247268520 248118240 250516290 250702805 252688104 253556448 256007058 256197661 265390254 266302248 267217376 280555680 280764560 283478135 286231248 294878060 300619548 300843366 315860130 316945560 318034720 329691360 332877810 334021720 336917472 340173762 341342744 353853672 355069664 357789060 372177360 375774435 380334672 384010587 385617098 399453372 400826064 401124488 420833520 421146840 422594080 426678430 442317090 443837080 451265049 453565016 471804896 475418340 477052080 494537040 499316715 501032580 501405610 505376208 510260643 512014116 512395322 530780508 532604496 561529120 566956270 572462496 578425647 589756120 601239096 601686732 631720260 633891120 640017645 663475635 665755620 668043440 680347524 682685488 707707344 715578120 744354720 751548870 752108415 760669344 768021174 768592983 771234196 798906744 801652128 802248976 810002671 841667040 842293680 850434405 853356860 884634180 887674160 902530098 907130032 950836680 954104160 964042745 989074080 998633430 1002065160 1002811220 1010752416 1020521286 1024028232 1024790644 1061561016 1065208992 1076304919 1133912540 1156851294 1179512240 1202478192 1203373464 1263440520 1267782240 1280035290 1280988305 1326951270 1331511240 1336086880 1360695048 1365370976 1415414688 1431156240 1503097740 1504216830 1536042348 1537185966 1542468392 1597813488 1604497952 1620005342 1684587360 1700868810 1706713720 1735276941 1769268360 1775348320 1805060196 1814260064 1901673360 1920052935 1928085490 1997266860 2004130320 2005622440 2041042572 2048056464 2049581288 2123122032 2152609838 2256325245 2267825080 2305778949 2313702588 2359024480 2404956384 2406746928 2430008013 2526881040 2551303215 2560070580 2561976610 2653902540 2663022480 2721390096 2862312480 2892128235 3006195480 3008433660 3072084696 3074371932 3084936784 3114752539 3195626976 3228914757 3240010684 3401737620 3413427440 3470553882 3538536720 3610120392 3803346720 3840105870 3842964915 3856170980 3994533720 4008260640 4011244880 4050013355 4082085144 4096112928 4099162576 4138780771 4246244064 4305219676 4512650490 4535650160 4611557898 4627405176 4813493856 4860016026 5053762080 5102606430 5120141160 5123953220 5307805080 5326044960 5381524595 5442780192 5499475819 5784256470 6012390960 6016867320 6144169392 6148743864 6169873568 6229505078 6457829514 6480021368 6803475240 6826854880 6941107764 7077073440 7220240784 7290024039 7680211740 7685929830 7712341960 7989067440 8022489760 8100026710 8164170288 8198325152 8277561542 8610439352 8676384705 9025300980 9071300320 9223115796 9254810352 9344257617 9686744271 9720032052 10205212860 10240282320 10247906440 10615610160 10763049190 10998951638 11528894745 11568512940 12024781920 12033734640 12150040065 12288338784 12297487728 12416342313 12459010156 12915659028 12960042736 13606950480 13882215528 14440481568 14580048078 15360423480 15371859660 15424683920 15573762695 15978134880 16144573785 16200053420 16328340576 16498427457 16555123084 17220878704 17352769410 18050601960 18446231592 18509620704 18688515234 18702429253 19373488542 19440064104 20410425720 20480564640 20495812880 20693903855 21231220320 21526098380 21997903276 23057789490 23137025880 24067469280 24300080130 24594975456 24832684626 24918020312 25831318056 25920085472 27213900960 27497379095 27764431056 28032772851 29160096156 30720846960 30743719320 30849367840 31147525390 32289147570 32400106840 32996854914 33110246168 34441757408 34705538820 36101203920 36450120195 36892463184 37249026939 37377030468 37404858506 38746977084 38880128208 40820851440 40991625760 41387807710 43052196760 43995806552 46115578980 46274051760 46721288085 48433721355 48600160260 49495282371 49665369252 49836040624 51662636112 54994758190 55528862112 56065545702 56107287759 58320192312 61441693920 61487438640 62081711565 62295050780 64578295140 64800213680 65993709828 66220492336 69411077640 72202407840 72900240390 73784926368 74498053878 74754060936 74809717012 77493954168 77760256416 78570259087 81641702880 82492137285 82775615420 86104393520 87991613104 92231157960 92548103520 93442576170 93512146265 96867442710 97200320520 98990564742 99330738504 99672081248 103325272224 109989516380 112131091404 112214575518 116640384624 122974877280 124163423130 124590101560 129156590280 129600427360 131987419656 132440984672 138822155280 140163864255 145800480780 148996107756 149508121872 149619434024 154987908336 157140518174 164984274570 165551230840 168321863277 172208787040 175983226208 184462315920 186245134695 186885152340 187024292530 193734885420 194400641040 197981129484 198661477008 219979032760 224262182808 224429151036 233280769248 235710777261 247476411855 248326846260 249180203120 258313180560 263974839312 277644310560 280327728510 280536438795 291600961560 297992215512 299016243744 299238868048 302130996283 309975816672 314281036348 329968549140 331102461680 336643726554 368924631840 372490269390 373770304680 374048585060 387469770840 388801282080 392851295435 395962258968 397322954016 401461734787 439958065520 448524365616 448858302072 471421554522 494952823710 496653692520 498360406240 516626361120 527949678624 560655457020 561072877590 583201923120 595984431024 598477736096 604261992566 628562072696 659937098280 662204923360 673287453108 707132331783 744980538780 747540609360 748097170120 774939541680 785702590870 791924517936 802923469574 841609316385 879916131040 897048731232 897716604144 906392988849 942843109044 989905647420 993307385040 1121310914040 1122145755180 1166403846240 1178553886305 1191968862048 1204385204361 1208523985132 1257124145392 1319874196560 1346574906216 1414264663566 1489961077560 1495081218720 1496194340240 1510654981415 1549879083360 1571405181740 1583849035872 1605846939148 1683218632770 1795433208288 1812785977698 1885686218088 1979811294840 1986614770080 2007308673935 2242621828080 2244291510360 2357107772610 2408770408722 2417047970264 2514248290784 2639748393120 2693149812432 2719178966547 2828529327132 2979922155120 2992388680480 3021309962830 3142810363480 3211693878296 3366437265540 3535661658915 3613155613083 3625571955396 3771372436176 3959622589680 4014617347870 4485243656160 4488583020720 4531964944245 4714215545220 4817540817444 4834095940528 5386299624864 5438357933094 5657058654264 5959844310240 6021926021805 6042619925660 6285620726960 6423387756592 6732874531080 7071323317830 7226311226166 7251143910792 7542744872352 7919245179360 8029234695740 8977166041440 9063929888490 9428431090440 9635081634888 9668191881056 10876715866188 11314117308528 12043852043610 12085239851320 12571241453920 12846775513184 13465749062160 13595894832735 14142646635660 14452622452332 14502287821584 16058469391480 18065778065415 18127859776980 18856862180880 19270163269776 21753431732376 22628234617056 24087704087220 24170479702640 26931498124320 27191789665470 28285293271320 28905244904664 29004575643168 29306706639451 32116938782960 36131556130830 36255719553960 37713724361760 38540326539552 43506863464752 48175408174440 48340959405280 54383579330940 56570586542640 57810489809328 58613413278902 64233877565920 72263112261660 72511439107920 87013726929504 87920119918353 96350816348880 108767158661880 113141173085280 115620979618656 117226826557804 144526224523320 145022878215840 146533533197255 175840239836706 192701632697760 217534317323760 234453653115608 263760359755059 289052449046640 293067066394510 351680479673412 435068634647520 439600599591765 468907306231216 527520719510118 578104898093280 586134132789020 703360959346824 879201199183530 937814612462432 1055041439020236 1172268265578040 1318801798775295 1406721918693648 1758402398367060 2110082878040472 2344536531156080 2637603597550590 2813443837387296 3516804796734120 4220165756080944 4689073062312160 5275207195101180 7033609593468240 8440331512161888 10550414390202360 14067219186936480 21100828780404720 42201657560809440
- Sum of all divisors σ(n): 148023706308686208
- Sum of proper divisors (its aliquot sum) s(n): 105822048747876768
- 42201657560809440 is an abundant number, because the sum of its proper divisors (105822048747876768) is greater than itself. Its abundance is 63620391187067328
Bases of 42201657560809440
- Binary: 100101011110111000101111000101111101100000111111111000002
- Hexadecimal: 0x95EE2F17D83FE0
- Base-36: BJJ8LU973S0
Squares and roots of 42201657560809440
- 42201657560809440 squared (422016575608094402) is 1780979900879824572991387993113600
- 42201657560809440 cubed (422016575608094403) is 75160303899614695713223946116837934475961872384000
-
The
square root of 42201657560809440 is 205430420.2420114797 -
The
cube root of 42201657560809440 is 348158.0995441695
Scales and comparisons
How big is 42201657560809440?- 42,201,657,560,809,440 seconds is equal to 1,341,882,172 years, 7 weeks, 12 hours, 24 minutes.
-
To count from 1 to 42,201,657,560,809,440 would take you about four billion, twenty-five million, six hundred forty-six thousand, five hundred sixteen 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 42201657560809440 cubic inches would be around 29013.2 feet tall.
Recreational maths with 42201657560809440
- 42201657560809440 backwards is 04490806575610224
- The number of decimal digits it has is: 17
- The sum of 42201657560809440's digits is 63
- More coming soon!
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"Number 42201657560809440 - Facts about the integer". Numbermatics.com. 2024. Web. 21 May 2024.
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Numbermatics. (2024). Number 42201657560809440 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/42201657560809440/
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Numbermatics. 2024. "Number 42201657560809440 - Facts about the integer". https://numbermatics.com/n/42201657560809440/
The information we have on file for 42201657560809440 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 42201657560809440, math, Factors of 42201657560809440, curriculum, school, college, exams, university, Prime factorization of 42201657560809440, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, two hundred one trillion, six hundred fifty-seven billion, five hundred sixty million, eight hundred nine thousand, four hundred forty.