42406403972041728
42,406,403,972,041,728 is an even composite number composed of four prime numbers multiplied together.
42406403972041728 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of six hundred sixty divisors.
Prime factorization of 42406403972041728:
210 × 34 × 192 × 11233
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 19 × 19 × 1123 × 1123 × 1123)See below for interesting mathematical facts about the number 42406403972041728 from the Numbermatics database.
Names of 42406403972041728
- Cardinal: 42406403972041728 can be written as Forty-two quadrillion, four hundred six trillion, four hundred three billion, nine hundred seventy-two million, forty-one thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 4.2406403972041728 × 1016
Factors of 42406403972041728
Divisors of 42406403972041728
- Number of divisors d(n): 660
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 128 144 152 162 171 192 216 228 256 288 304 324 342 361 384 432 456 512 513 576 608 648 684 722 768 864 912 1024 1026 1083 1123 1152 1216 1296 1368 1444 1536 1539 1728 1824 2052 2166 2246 2304 2432 2592 2736 2888 3072 3078 3249 3369 3456 3648 4104 4332 4492 4608 4864 5184 5472 5776 6156 6498 6738 6912 7296 8208 8664 8984 9216 9728 9747 10107 10368 10944 11552 12312 12996 13476 13824 14592 16416 17328 17968 19456 19494 20214 20736 21337 21888 23104 24624 25992 26952 27648 29184 29241 30321 32832 34656 35936 38988 40428 41472 42674 43776 46208 49248 51984 53904 58368 58482 60642 64011 65664 69312 71872 77976 80856 82944 85348 87552 90963 92416 98496 103968 107808 116964 121284 128022 131328 138624 143744 155952 161712 170696 175104 181926 184832 192033 196992 207936 215616 233928 242568 256044 262656 277248 287488 311904 323424 341392 363852 369664 384066 393984 405403 415872 431232 467856 485136 512088 525312 554496 574976 576099 623808 646848 682784 727704 768132 787968 810806 831744 862464 935712 970272 1024176 1108992 1149952 1152198 1216209 1247616 1261129 1293696 1365568 1455408 1536264 1575936 1621612 1663488 1724928 1728297 1871424 1940544 2048352 2304396 2432418 2495232 2522258 2587392 2731136 2910816 3072528 3243224 3326976 3449856 3456594 3648627 3742848 3783387 3881088 4096704 4608792 4864836 4990464 5044516 5174784 5462272 5821632 6145056 6486448 6913188 7297254 7485696 7566774 7762176 8193408 9217584 9729672 9980928 10089032 10349568 10924544 10945881 11350161 11643264 12290112 12972896 13826376 14594508 14971392 15133548 15524352 16386816 18435168 19459344 20178064 21849088 21891762 22700322 23286528 23961451 24580224 25945792 27652752 29189016 29942784 30267096 31048704 32773632 32837643 34050483 36870336 38918688 40356128 43783524 45400644 46573056 47922902 49160448 51891584 55305504 58378032 60534192 65547264 65675286 68100966 71884353 73740672 77837376 80712256 87567048 90801288 93146112 95845804 98320896 102151449 103783168 110611008 116756064 121068384 131350572 136201932 143768706 147481344 155674752 161424512 175134096 181602576 191691608 196641792 204302898 207566336 215653059 221222016 233512128 242136768 262701144 272403864 287537412 294962688 311349504 322849024 350268192 363205152 383383216 408605796 415132672 431306118 442444032 455267569 467024256 484273536 525402288 544807728 575074824 589925376 622699008 645698048 646959177 700536384 726410304 766766432 817211592 862612236 884888064 910535138 934048512 968547072 1050804576 1089615456 1150149648 1245398016 1291396096 1293918354 1365802707 1401072768 1416247867 1452820608 1533532864 1634423184 1725224472 1769776128 1821070276 1868097024 1937094144 1940877531 2101609152 2179230912 2300299296 2587836708 2731605414 2802145536 2832495734 2905641216 3067065728 3268846368 3450448944 3642140552 3736194048 3874188288 3881755062 4097408121 4203218304 4248743601 4358461824 4600598592 5175673416 5463210828 5604291072 5664991468 5811282432 6134131456 6537692736 6900897888 7284281104 7763510124 8194816242 8406436608 8497487202 8716923648 9201197184 10351346832 10926421656 11208582144 11329982936 11622564864 12268262912 12292224363 12746230803 13075385472 13801795776 14568562208 15527020248 16389632484 16812873216 16994974404 17433847296 18402394368 20702693664 21852843312 22659965872 24536525824 24584448726 25492461606 26150770944 26908709473 27603591552 29137124416 31054040496 32779264968 33625746432 33989948808 34867694592 36804788736 36876673089 38238692409 41405387328 43705686624 45319931744 49168897452 50984923212 52301541888 53817418946 55207183104 58274248832 62108080992 65558529936 67979897616 73609577472 73753346178 76477384818 80726128419 82810774656 87411373248 90639863488 98337794904 101969846424 104603083776 107634837892 110414366208 114716077227 116548497664 124216161984 131117059872 135959795232 147506692356 152954769636 161452256838 165621549312 174822746496 181279726976 196675589808 203939692848 215269675784 220828732416 229432154454 233096995328 242178385257 248432323968 262234119744 271919590464 295013384712 305909539272 322904513676 331243098624 349645492992 362559453952 393351179616 407879385696 430539351568 458864308908 466193990656 484356770514 496864647936 511265479987 524468239488 543839180928 590026769424 611819078544 645809027352 662486197248 699290985984 725118907904 726535155771 786702359232 815758771392 861078703136 917728617816 968713541028 993729295872 1022530959974 1048936478976 1087678361856 1180053538848 1223638157088 1291618054704 1398581971968 1450237815808 1453070311542 1533796439961 1573404718464 1631517542784 1722157406272 1835457235632 1937427082056 1987458591744 2045061919948 2097872957952 2175356723712 2179605467313 2360107077696 2447276314176 2583236109408 2906140623084 3067592879922 3146809436928 3263035085568 3444314812544 3670914471264 3874854164112 4090123839896 4195745915904 4350713447424 4359210934626 4601389319883 4720214155392 4894552628352 5166472218816 5812281246168 6135185759844 6293618873856 6526070171136 6888629625088 7341828942528 7749708328224 8180247679792 8718421869252 9202778639766 9440428310784 9789105256704 10332944437632 11624562492336 12270371519688 12587237747712 13052140342272 13777259250176 13804167959649 14683657885056 15499416656448 16360495359584 17436843738504 18405557279532 18880856621568 19578210513408 20665888875264 23249124984672 24540743039376 27554518500352 27608335919298 29367315770112 30998833312896 32720990719168 34873687477008 36811114559064 37761713243136 39156421026816 41331777750528 41412503878947 46498249969344 49081486078752 55216671838596 58734631540224 61997666625792 65441981438336 69747374954016 73622229118128 82663555501056 82825007757894 92996499938688 98162972157504 110433343677192 117469263080448 123995333251584 130883962876672 139494749908032 147244458236256 165650015515788 185992999877376 196325944315008 220866687354384 247990666503168 261767925753344 278989499816064 294488916472512 331300031031576 371985999754752 392651888630016 441733374708768 523535851506688 557978999632128 588977832945024 662600062063152 743971999509504 785303777260032 883466749417536 1115957999264256 1177955665890048 1325200124126304 1570607554520064 1766933498835072 2231915998528512 2355911331780096 2650400248252608 3533866997670144 4711822663560192 5300800496505216 7067733995340288 10601600993010432 14135467990680576 21203201986020864 42406403972041728
- Sum of all divisors σ(n): 133768653884219640
- Sum of proper divisors (its aliquot sum) s(n): 91362249912177912
- 42406403972041728 is an abundant number, because the sum of its proper divisors (91362249912177912) is greater than itself. Its abundance is 48955845940136184
Bases of 42406403972041728
- Binary: 100101101010100001100110010101001111010010001100000000002
- Hexadecimal: 0x96A86654F48C00
- Base-36: BLJTD1K1S00
Squares and roots of 42406403972041728
- 42406403972041728 squared (424064039720417282) is 1798303097839996445633888973225984
- 42406403972041728 cubed (424064039720417283) is 76259567631176969484261498783700780470283221860352
-
The
square root of 42406403972041728 is 205928152.4513871027 -
The
cube root of 42406403972041728 is 348720.2350470397
Scales and comparisons
How big is 42406403972041728?- 42,406,403,972,041,728 seconds is equal to 1,348,392,474 years, 35 weeks, 6 days, 12 hours, 28 minutes, 48 seconds.
-
To count from 1 to 42,406,403,972,041,728 would take you about four billion, forty-five million, one hundred seventy-seven thousand, four hundred twenty-four 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 42406403972041728 cubic inches would be around 29060 feet tall.
Recreational maths with 42406403972041728
- 42406403972041728 backwards is 82714027930460424
- The number of decimal digits it has is: 17
- The sum of 42406403972041728's digits is 63
- More coming soon!
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The information we have on file for 42406403972041728 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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