42080409657630720
42,080,409,657,630,720 is an even composite number composed of five prime numbers multiplied together.
What does the number 42080409657630720 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1680 divisors.
42080409657630720 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 42080409657630720:
213 × 34 × 5 × 233 × 10212
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 23 × 23 × 23 × 1021 × 1021)See below for interesting mathematical facts about the number 42080409657630720 from the Numbermatics database.
Names of 42080409657630720
- Cardinal: 42080409657630720 can be written as Forty-two quadrillion, eighty trillion, four hundred nine billion, six hundred fifty-seven million, six hundred thirty thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 4.208040965763072 × 1016
Factors of 42080409657630720
Divisors of 42080409657630720
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 32 36 40 45 46 48 54 60 64 69 72 80 81 90 92 96 108 115 120 128 135 138 144 160 162 180 184 192 207 216 230 240 256 270 276 288 320 324 345 360 368 384 405 414 432 460 480 512 529 540 552 576 621 640 648 690 720 736 768 810 828 864 920 960 1021 1024 1035 1058 1080 1104 1152 1242 1280 1296 1380 1440 1472 1536 1587 1620 1656 1728 1840 1863 1920 2042 2048 2070 2116 2160 2208 2304 2484 2560 2592 2645 2760 2880 2944 3063 3072 3105 3174 3240 3312 3456 3680 3726 3840 4084 4096 4140 4232 4320 4416 4608 4761 4968 5105 5120 5184 5290 5520 5760 5888 6126 6144 6210 6348 6480 6624 6912 7360 7452 7680 7935 8168 8192 8280 8464 8640 8832 9189 9216 9315 9522 9936 10210 10240 10368 10580 11040 11520 11776 12167 12252 12288 12420 12696 12960 13248 13824 14283 14720 14904 15315 15360 15870 16336 16560 16928 17280 17664 18378 18432 18630 19044 19872 20420 20480 20736 21160 22080 23040 23483 23552 23805 24334 24504 24576 24840 25392 25920 26496 27567 27648 28566 29440 29808 30630 30720 31740 32672 33120 33856 34560 35328 36501 36756 36864 37260 38088 39744 40840 40960 41472 42320 42849 44160 45945 46080 46966 47104 47610 48668 49008 49680 50784 51840 52992 55134 55296 57132 58880 59616 60835 61260 61440 63480 65344 66240 67712 69120 70449 70656 71415 73002 73512 73728 74520 76176 79488 81680 82701 82944 84640 85698 88320 91890 92160 93932 94208 95220 97336 98016 99360 101568 103680 105984 109503 110268 110592 114264 117415 117760 119232 121670 122520 122880 126960 130688 132480 135424 137835 138240 140898 141312 142830 146004 147024 149040 152352 158976 163360 165402 165888 169280 171396 176640 182505 183780 184320 187864 188416 190440 194672 196032 198720 203136 207360 211347 211968 214245 219006 220536 221184 228528 234830 235520 238464 243340 245040 253920 261376 264960 270848 275670 276480 281796 282624 285660 292008 294048 298080 304704 317952 326720 328509 330804 331776 338560 342792 352245 353280 365010 367560 368640 375728 380880 389344 392064 397440 406272 413505 414720 422694 423936 428490 438012 441072 457056 469660 471040 476928 486680 490080 507840 522752 529920 540109 541696 547515 551340 552960 563592 565248 571320 584016 588096 596160 609408 634041 635904 653440 657018 661608 663552 677120 685584 704490 706560 730020 735120 751456 761760 778688 784128 794880 812544 827010 829440 845388 847872 856980 876024 882144 914112 939320 942080 953856 973360 980160 985527 1015680 1042441 1045504 1056735 1059840 1080218 1083392 1095030 1102680 1105920 1127184 1142640 1168032 1176192 1192320 1218816 1268082 1271808 1306880 1314036 1323216 1354240 1371168 1408980 1413120 1460040 1470240 1502912 1523520 1557376 1568256 1589760 1620327 1625088 1642545 1654020 1658880 1690776 1695744 1713960 1752048 1764288 1828224 1878640 1902123 1907712 1946720 1960320 1971054 2031360 2084882 2091008 2113470 2119680 2160436 2166784 2190060 2205360 2254368 2285280 2336064 2352384 2384640 2437632 2536164 2543616 2613760 2628072 2646432 2700545 2708480 2742336 2817960 2826240 2920080 2940480 3005824 3047040 3114752 3127323 3136512 3170205 3179520 3240654 3250176 3285090 3308040 3317760 3381552 3427920 3504096 3528576 3656448 3757280 3804246 3815424 3893440 3920640 3942108 4062720 4169764 4182016 4226940 4239360 4320872 4333568 4380120 4410720 4508736 4570560 4672128 4704768 4769280 4860981 4875264 4927635 5072328 5087232 5212205 5227520 5256144 5292864 5401090 5416960 5484672 5635920 5840160 5880960 6011648 6094080 6229504 6254646 6273024 6340410 6359040 6481308 6500352 6570180 6616080 6763104 6855840 7008192 7057152 7312896 7514560 7608492 7630848 7786880 7841280 7884216 8101635 8125440 8339528 8364032 8453880 8478720 8641744 8760240 8821440 9017472 9141120 9344256 9381969 9409536 9510615 9538560 9721962 9750528 9855270 10144656 10424410 10455040 10512288 10585728 10802180 10833920 10969344 11271840 11680320 11761920 12023296 12188160 12422507 12459008 12509292 12546048 12680820 12718080 12962616 13000704 13140360 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56065536 56291814 56457216 58331772 58503168 60116480 60867936 62112535 62295040 62546460 62730240 63073728 64813080 65003520 66716224 67631040 69133952 70081920 70571520 71928429 72139776 72914715 73128960 74535042 74754048 75055752 75276288 76084920 76308480 77775696 78842160 81157248 83395280 84098304 84437721 84685824 86417440 87497658 87754752 90174720 93442560 93819690 94095360 95904572 96186368 97219620 97505280 99380056 99672064 100074336 101446560 103700928 105122880 105857280 108209664 109693440 111802563 112131072 112583628 112914432 116663544 117006336 119880715 120232960 121735872 124225070 124590080 125092920 125460480 126147456 129626160 133432448 135262080 138267904 140163840 140729535 141143040 143856858 144279552 145829430 146257920 149070084 149508096 150111504 152169840 155551392 157684320 162314496 166790560 168196608 168875442 169371648 172834880 174995316 175509504 180349440 186337605 186885120 187639380 188190720 191809144 192372736 194439240 195010560 198760112 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257593105152 264696618720 276205167360 282343059968 286214561280 288214087680 294618845184 297783696060 298658672640 304401111528 305295532032 310730813280 317635942464 321991381440 331446200832 342451250469 343457473536 345856905216 352928824960 357340435272 358390407168 368273556480 380501389410 381619415040 384285450240 397044928080 405868148704 414307751040 423514589952 429321841920 432321131520 441928267776 446675544090 447988008960 456601667292 457943298048 476453913696 491031408640 497169301248 507335185880 508825886720 515186210304 529393237440 552410334720 564686119936 570752084115 572429122560 576428175360 589237690368 595567392120 597317345280 608802223056 621461626560 635271884928 643982762880 662892401664 684902500938 686914947072 691713810432 705857649920 714680870544 736547112960 761002778820 763238830080 794089856160 811736297408 828615502080 847029179904 858643683840 864642263040 883856535552 893351088180 895976017920 913203334584 915886596096 952907827392 982062817280 994338602496 1014670371760 1027353751407 1030372420608 1058786474880 1104820669440 1129372239872 1141504168230 1144858245120 1152856350720 1191134784240 1217604446112 1242923253120 1270543769856 1287965525760 1325784803328 1369805001876 1373829894144 1411715299840 1429361741088 1473094225920 1522005557640 1526477660160 1588179712320 1623472594816 1657231004160 1694058359808 1712256252345 1717287367680 1729284526080 1767713071104 1786702176360 1791952035840 1826406669168 1905815654784 1988677204992 2029340743520 2054707502814 2060744841216 2117572949760 2209641338880 2258744479744 2283008336460 2289716490240 2382269568480 2435208892224 2485846506240 2541087539712 2575931051520 2651569606656 2739610003752 2747659788288 2823430599680 2858723482176 2946188451840 3044011115280 3176359424640 3246945189632 3314462008320 3388116719616 3424512504690 3434574735360 3458569052160 3573404352720 3652813338336 3811631309568 3977354409984 4058681487040 4109415005628 4121489682432 4235145899520 4419282677760 4517488959488 4566016672920 4579432980480 4764539136960 4870417784448 4971693012480 5082175079424 5136768757035 5151862103040 5303139213312 5479220007504 5646861199360 5717446964352 6088022230560 6352718849280 6493890379264 6628924016640 6776233439232 6849025009380 6869149470720 7146808705440 7305626676672 7623262619136 7954708819968 8117362974080 8218830011256 8242979364864 8470291799040 8838565355520 9132033345840 9529078273920 9740835568896 9943386024960 10164350158848 10273537514070 10303724206080 10958440015008 11293722398720 11434893928704 12176044461120 12705437698560 12987780758528 13257848033280 13552466878464 13698050018760 13738298941440 14293617410880 14611253353344 15246525238272 15909417639936 16234725948160 16437660022512 16940583598080 18264066691680 19058156547840 19481671137792 19886772049920 20328700317696 20547075028140 20607448412160 21916880030016 22587444797440 22869787857408 24352088922240 25410875397120 25975561517056 26515696066560 27396100037520 28587234821760 29222506706688 30493050476544 32469451896320 32875320045024 33881167196160 36528133383360 38116313095680 38963342275584 39773544099840 40657400635392 41094150056280 41214896824320 43833760060032 45739575714816 48704177844480 50821750794240 51951123034112 54792200075040 57174469643520 58445013413376 60986100953088 64938903792640 65750640090048 67762334392320 73056266766720 76232626191360 77926684551168 79547088199680 82188300112560 87667520120064 91479151429632 97408355688960 101643501588480 103902246068224 109584400150080 114348939287040 116890026826752 121972201906176 129877807585280 131501280180096 146112533533440 152465252382720 155853369102336 164376600225120 175335040240128 182958302859264 194816711377920 203287003176960 219168800300160 228697878574080 233780053653504 259755615170560 263002560360192 292225067066880 304930504765440 311706738204672 328753200450240 350670080480256 365916605718528 389633422755840 438337600600320 457395757148160 467560107307008 519511230341120 526005120720384 584450134133760 609861009530880 657506400900480 701340160960512 779266845511680 876675201200640 914791514296320 935120214614016 1052010241440768 1168900268267520 1315012801800960 1402680321921024 1558533691023360 1753350402401280 1829583028592640 2104020482881536 2337800536535040 2630025603601920 2805360643842048 3506700804802560 4208040965763072 4675601073070080 5260051207203840 7013401609605120 8416081931526144 10520102414407680 14026803219210240 21040204828815360 42080409657630720
- Sum of all divisors σ(n): 157868040113102880
- Sum of proper divisors (its aliquot sum) s(n): 115787630455472160
- 42080409657630720 is an abundant number, because the sum of its proper divisors (115787630455472160) is greater than itself. Its abundance is 73707220797841440
Bases of 42080409657630720
- Binary: 100101010111111111101000110111011010010101100000000000002
- Hexadecimal: 0x957FE8DDA56000
- Base-36: BIC9DBM6800
Squares and roots of 42080409657630720
- 42080409657630720 squared (420804096576307202) is 1770760876954020769607123887718400
- 42080409657630720 cubed (420804096576307203) is 74514343107930618638666628120547348235050549248000
-
The
square root of 42080409657630720 is 205135100.9886672711 -
The
cube root of 42080409657630720 is 347824.3533211583
Scales and comparisons
How big is 42080409657630720?- 42,080,409,657,630,720 seconds is equal to 1,338,026,863 years, 44 weeks, 4 days, 19 hours, 12 minutes.
-
To count from 1 to 42,080,409,657,630,720 would take you about four billion, fourteen million, eighty thousand, five hundred ninety-one 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 42080409657630720 cubic inches would be around 28985.4 feet tall.
Recreational maths with 42080409657630720
- 42080409657630720 backwards is 02703675690408024
- The number of decimal digits it has is: 17
- The sum of 42080409657630720's digits is 63
- More coming soon!
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"Number 42080409657630720 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 42080409657630720 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/42080409657630720/
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The information we have on file for 42080409657630720 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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