42480128509908992
42,480,128,509,908,992 is an even composite number composed of five prime numbers multiplied together.
What does the number 42480128509908992 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 648 divisors.
42480128509908992 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 42480128509908992:
211 × 72 × 172 × 2412 × 25219
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 17 × 17 × 241 × 241 × 25219)See below for interesting mathematical facts about the number 42480128509908992 from the Numbermatics database.
Names of 42480128509908992
- Cardinal: 42480128509908992 can be written as Forty-two quadrillion, four hundred eighty trillion, one hundred twenty-eight billion, five hundred nine million, nine hundred eight thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 4.2480128509908992 × 1016
Factors of 42480128509908992
Divisors of 42480128509908992
- Number of divisors d(n): 648
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Complete list of divisors:
1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 128 136 196 224 238 241 256 272 289 392 448 476 482 512 544 578 784 833 896 952 964 1024 1088 1156 1568 1666 1687 1792 1904 1928 2023 2048 2176 2312 3136 3332 3374 3584 3808 3856 4046 4097 4352 4624 6272 6664 6748 7168 7616 7712 8092 8194 8704 9248 11809 12544 13328 13496 14161 14336 15232 15424 16184 16388 17408 18496 23618 25088 25219 26656 26992 28322 28679 30464 30848 32368 32776 34816 36992 47236 50176 50438 53312 53984 56644 57358 58081 60928 61696 64736 65552 69649 73984 94472 100352 100876 106624 107968 113288 114716 116162 121856 123392 129472 131104 139298 147968 176533 188944 200753 201752 213248 215936 226576 229432 232324 243712 246784 258944 262208 278596 295936 353066 377888 401506 403504 406567 426496 428723 431872 453152 458864 464648 487543 493568 517888 524416 557192 591872 706132 755776 803012 807008 813134 852992 857446 863744 906304 917728 929296 975086 987377 1035776 1048832 1114384 1235731 1412264 1511552 1606024 1614016 1626268 1705984 1714892 1727488 1812608 1835456 1858592 1950172 1974754 2071552 2097664 2228768 2471462 2824528 2845969 3001061 3023104 3212048 3228032 3252536 3412801 3429784 3454976 3625216 3670912 3717184 3900344 3949508 4143104 4195328 4457536 4942924 5649056 5691938 6002122 6046208 6077779 6424096 6456064 6505072 6825602 6859568 6911639 7250432 7288291 7341824 7434368 7800688 7899016 8390656 8915072 9885848 11298112 11383876 12004244 12092416 12155558 12848192 12912128 13010144 13651204 13719136 13823278 14500864 14576582 14683648 14868736 15601376 15798032 16785409 17830144 19771696 21007427 22596224 22767752 24008488 24184832 24311116 25696384 25824256 26020288 27302408 27438272 27646556 29001728 29153164 29367296 29737472 31202752 31596064 33570818 35660288 39543392 42014854 42544453 45192448 45535504 48016976 48381473 48622232 51018037 51392768 51648512 52040576 54604816 54876544 55293112 58306328 58734592 59474944 62405504 63192128 67141636 71320576 79086784 84029708 85088906 90384896 91071008 96033952 96762946 97244464 102036074 102785536 103322243 104081152 109209632 109753088 110586224 116612656 117497863 118949888 124811008 126384256 134283272 142641152 158173568 168059416 170177812 180769792 182142016 192067904 193525892 194488928 204072148 205571072 206644486 208162304 218419264 219506176 221172448 233225312 234995726 249622016 252768512 268566544 297811171 316347136 336118832 340355624 357126259 361539584 364284032 384135808 387051784 388977856 408144296 411142144 413288972 416324608 436838528 439012352 442344896 466450624 469991452 499244032 505537024 537133088 595622342 632694272 672237664 680711248 714252518 723255701 728568064 768271616 774103568 777955712 816288592 822485041 826577944 832649216 873677056 878024704 884689792 932901248 939982904 998488064 1011074048 1074266176 1191244684 1265388544 1344475328 1361422496 1428505036 1446511402 1457136128 1464744739 1536543232 1548207136 1555911424 1632577184 1644970082 1653155888 1747354112 1756478131 1769379584 1865802496 1879965808 2022148096 2148532352 2382489368 2530777088 2688950656 2722844992 2857010072 2893022804 2914272256 2929489478 3073086464 3096414272 3111822848 3265154368 3289940164 3306311776 3494708224 3512956262 3538759168 3731604992 3759931616 4297064704 4764978736 5062789907 5377901312 5445689984 5714020144 5786045608 5828544512 5858978956 6146172928 6192828544 6223645696 6530308736 6579880328 6612623552 6989416448 7025912524 7077518336 7463209984 7519863232 8594129408 9529957472 10125579814 10253213173 10755802624 10891379968 11428040288 11572091216 11717957912 12295346917 12385657088 12447291392 13060617472 13159760656 13225247104 14051825048 14155036672 14926419968 15039726464 17188258816 19059914944 20251159628 20506426346 21511605248 21782759936 22856080576 23144182432 23435915824 24590693834 24771314176 24900660563 26121234944 26319521312 26450494208 28103650096 30079452928 34376517632 38119829888 40502319256 41012852692 43023210496 43565519872 45712161152 46288364864 46871831648 49181387668 49542628352 49801321126 52242469888 52639042624 52900988416 56207300192 60158905856 71772492211 76239659776 81004638512 82025705384 86067428419 87131039744 91424322304 92576729728 93743663296 98362775336 99085256704 99602642252 104484939776 105278085248 105801976832 112414600384 120317811712 143544984422 152479319552 162009277024 164051410768 172134856838 174304623941 182848644608 185153459456 187487326592 196725550672 199205284504 210556170496 211603953664 224829200768 240635623424 287089968844 304958639104 324018554048 328102821536 344269713676 348609247882 365697289216 370306918912 374974653184 393451101344 398410569008 421112340992 423311229571 449658401536 574179937688 609917278208 648037108096 656205643072 688539427352 697218495764 731394578432 740613837824 749949306368 786902202688 796821138016 842224681984 846622459142 899316803072 1148359875376 1220132367587 1296074216192 1312411286144 1377078854704 1394436991528 1481227675648 1499898612736 1573804405376 1593642276032 1684449363968 1693244918284 1798633606144 2296719750752 2440264735174 2592148432384 2624822572288 2754157709408 2788873983056 2963178606997 2999797225472 3147608810752 3187284552064 3386489836568 3597267212288 4593439501504 4880529470348 5184296864768 5249645144576 5508315418816 5577747966112 5926357213994 6295217621504 6374569104128 6772979673136 9186879003008 9761058940696 10368593729536 10499290289152 11016630837632 11155495932224 11852714427988 12590435243008 12749138208256 13545959346272 18373758006016 19522117881392 20742250248979 20998580578304 22033261675264 22310991864448 23705428855976 25180870486016 25498276416512 27091918692544 36747516012032 39044235762784 41484500497958 44066523350528 44621983728896 47410857711952 50996552833024 54183837385088 73495032024064 78088471525568 82969000995916 88133046701056 89243967457792 94821715423904 108367674770176 146990064048128 156176943051136 165938001991832 176266093402112 178487934915584 189643430847808 216735349540352 312353886102272 331876003983664 356975869831168 379286861695616 433470699080704 624707772204544 663752007967328 758573723391232 866941398161408 1249415544409088 1327504015934656 1517147446782464 2498831088818176 2655008031869312 3034294893564928 5310016063738624 6068589787129856 10620032127477248 21240064254954496 42480128509908992
- Sum of all divisors σ(n): 105402782164434300
- Sum of proper divisors (its aliquot sum) s(n): 62922653654525308
- 42480128509908992 is an abundant number, because the sum of its proper divisors (62922653654525308) is greater than itself. Its abundance is 20442525144616316
Bases of 42480128509908992
- Binary: 100101101110101101110011101010011101100010011000000000002
- Hexadecimal: 0x96EB73A9D89800
- Base-36: BM9Y5MMDU68
Squares and roots of 42480128509908992
- 42480128509908992 squared (424801285099089922) is 1804561318218382757029132122456064
- 42480128509908992 cubed (424801285099089923) is 76657996701927674246517219797750948292584158527488
-
The
square root of 42480128509908992 is 206107080.2032501549 -
The
cube root of 42480128509908992 is 348922.2041793231
Scales and comparisons
How big is 42480128509908992?- 42,480,128,509,908,992 seconds is equal to 1,350,736,686 years, 49 weeks, 2 days, 20 hours, 56 minutes, 32 seconds.
-
To count from 1 to 42,480,128,509,908,992 would take you about four billion, fifty-two million, two hundred ten thousand and sixty 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 42480128509908992 cubic inches would be around 29076.9 feet tall.
Recreational maths with 42480128509908992
- 42480128509908992 backwards is 29980990582108424
- The number of decimal digits it has is: 17
- The sum of 42480128509908992's digits is 80
- More coming soon!
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The information we have on file for 42480128509908992 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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