84242738323714880
84,242,738,323,714,880 is an even composite number composed of eight prime numbers multiplied together.
What does the number 84242738323714880 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1344 divisors.
84242738323714880 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 84242738323714880:
26 × 5 × 7 × 13 × 172 × 61 × 313 × 524287
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 13 × 17 × 17 × 61 × 313 × 524287)See below for interesting mathematical facts about the number 84242738323714880 from the Numbermatics database.
Names of 84242738323714880
- Cardinal: 84242738323714880 can be written as Eighty-four quadrillion, two hundred forty-two trillion, seven hundred thirty-eight billion, three hundred twenty-three million, seven hundred fourteen thousand, eight hundred eighty.
Scientific notation
- Scientific notation: 8.424273832371488 × 1016
Factors of 84242738323714880
Divisors of 84242738323714880
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 20 26 28 32 34 35 40 52 56 61 64 65 68 70 80 85 91 104 112 119 122 130 136 140 160 170 182 208 221 224 238 244 260 272 280 289 305 313 320 340 364 416 427 442 448 455 476 488 520 544 560 578 595 610 626 680 728 793 832 854 884 910 952 976 1037 1040 1088 1105 1120 1156 1190 1220 1252 1360 1445 1456 1547 1565 1586 1708 1768 1820 1904 1952 2023 2074 2080 2135 2191 2210 2240 2312 2380 2440 2504 2720 2890 2912 3094 3130 3172 3416 3536 3640 3757 3808 3904 3965 4046 4069 4148 4160 4270 4382 4420 4624 4760 4880 5008 5185 5321 5440 5551 5780 5824 6188 6260 6344 6832 7072 7259 7280 7514 7616 7735 7930 8092 8138 8296 8540 8764 8840 9248 9520 9760 10016 10115 10370 10642 10955 11102 11560 12376 12520 12688 13481 13664 14144 14518 14560 15028 15470 15860 16184 16276 16592 17080 17528 17629 17680 18496 18785 19040 19093 19520 20032 20230 20345 20740 21284 21910 22204 23120 24752 25040 25376 26299 26605 26962 27328 27755 28483 29036 29120 30056 30940 31720 32368 32552 33184 34160 35056 35258 35360 36295 37247 37570 38080 38186 40460 40690 41480 42568 43820 44408 46240 49504 50080 50752 52598 53210 53924 55510 56966 58072 60112 61880 63440 64736 65104 66368 67405 68320 69173 70112 70516 70720 72590 74494 75140 76372 80920 81380 82960 85136 87640 88145 88816 90457 92480 94367 95465 99008 100160 105196 106420 107848 111020 113932 116144 120224 123403 123760 126880 129472 130208 131495 133651 134810 136640 138346 140224 141032 142415 145180 148988 150280 152744 161840 162760 165920 170272 175280 176290 177632 180914 186235 188734 190930 210392 212840 215696 222040 227864 229177 232288 240448 246806 247520 248209 253760 260416 262990 267302 269620 276692 282064 284830 290360 297976 300560 305488 323680 324581 325520 331840 340544 345865 350560 352580 355264 361828 372470 377468 381860 420784 425680 431392 444080 452285 455728 458354 464576 471835 484211 493612 495040 496418 524287 525980 534604 539240 553384 564128 569660 580720 595952 601120 610976 617015 633199 647360 649162 651040 668255 691730 701120 705160 723656 744940 754936 763720 841568 851360 862784 888160 904570 911456 916708 943670 968422 987224 992836 1048574 1051960 1069208 1078480 1106768 1128256 1139320 1145885 1161440 1175941 1191904 1202240 1221952 1234030 1241045 1266398 1298324 1302080 1336510 1383460 1410320 1447312 1489880 1509872 1527440 1604239 1622905 1683136 1702720 1737463 1776320 1809140 1822912 1833416 1887340 1936844 1974448 1985672 2097148 2103920 2138416 2156960 2213536 2272067 2278640 2291770 2322880 2351882 2383808 2421055 2468060 2482090 2532796 2596648 2621435 2673020 2766920 2820640 2894624 2979760 3019744 3054880 3165995 3208478 3245810 3474926 3618280 3666832 3670009 3774680 3873688 3948896 3971344 4194296 4207840 4219553 4276832 4313920 4427072 4544134 4557280 4583540 4703764 4842110 4936120 4964180 5065592 5193296 5242870 5346040 5517877 5533840 5641280 5789248 5879705 5959520 6039488 6109760 6331990 6416956 6491620 6815731 6949852 7236560 7333664 7340018 7549360 7747376 7897792 7942688 8021195 8231587 8388592 8415680 8439106 8553664 8687315 8912879 9088268 9114560 9167080 9407528 9684220 9872240 9928360 10131184 10386592 10485740 10692080 11035754 11067680 11360335 11759410 11919040 12663980 12833912 12983240 13631462 13899704 14473120 14667328 14680036 15098720 15494752 15885376 16042390 16463174 16777184 16878212 17374630 17825758 18176536 18334160 18350045 18815056 19368440 19744480 19856720 20262368 20773184 20971480 21097765 21384160 22071508 22135360 22720670 23518820 25327960 25667824 25966480 27262924 27589385 27799408 28946240 29360072 29536871 30197440 30989504 31981507 32084780 32926348 33554368 33756424 34078655 34749260 35651516 36353072 36668320 36700090 37630112 38625139 38736880 39488960 39713440 40524736 41157935 41942960 42195530 42768320 44143016 44564395 45441340 47037640 47710117 50655920 51335648 51932960 54525848 55178770 55598816 58720144 59073742 62390153 63963014 64169560 65852696 67512848 68157310 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570424256 573859208 579337135 587201440 590737420 606075772 618002224 623901530 639630140 656407324 658526960 675128480 713030320 717324010 727061440 757594715 763361872 772502780 811071989 820509155 831519182 882860320 895482196 926939416 945179872 954202340 998242448 1004253614 1023408224 1060632601 1087371238 1090516960 1119352745 1147718416 1148712817 1158674270 1174402880 1181474840 1212151544 1236004448 1247803060 1279260280 1312814648 1317053920 1350256960 1426060640 1434648020 1515189430 1526723744 1545005560 1622143978 1641018310 1663038364 1765720640 1790964392 1853878832 1890359744 1908404680 1969746259 1996484896 2008507228 2046816448 2078797955 2121265202 2133323803 2174742476 2181033920 2238705490 2295436832 2297425634 2317348540 2362949680 2424303088 2472008896 2495606120 2510634035 2558520560 2625629296 2634107840 2718428095 2789731127 2852121280 2869296040 2910317137 3030378860 3053447488 3090011120 3244287956 3282036620 3326076728 3581928784 3707757664 3805799333 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93130148384 94850858318 97640589445 98950782658 100102116910 110305790504 111589245080 113086608752 116412685480 119466132968 120154521799 121785578656 126063760576 129397177322 129771518240 130132751983 133043069120 136532723392 137882238130 140142963674 141358260940 145066018604 147882488368 149332666210 152231973320 156224943112 157579700720 160163387056 160680578240 169701216160 170173598747 170665904240 173979398080 178542792128 181332523255 183794050720 184853110460 186260296768 189701716636 195281178890 197901565316 200204233820 220611581008 223178490160 226173217504 232825370960 237127145795 238932265936 240309043598 243571157312 247376956645 253865532557 258794354644 259543036480 260265503966 275764476260 280285927348 282716521880 290132037208 295764976736 298665332420 304463946640 312449886224 315159401440 320326774112 323492943305 331978004113 339402432320 340347197494 341331808480 350357409185 362665046510 367588101440 369706220920 379403433272 390562357780 395803130632 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1821858527762 1897017166360 1922472348784 1979015653160 2030924260456 2070354837152 2082124031728 2206115810080 2212256783711 2242287418784 2261732175040 2321056297664 2382430382458 2389322659360 2403090435980 2466122316268 2538655325570 2587943546440 2602655039660 2655824032904 2722777579952 2802859273480 2892951178699 2901320372080 2957649767360 3035227466176 3082652895335 3124498862240 3166425045056 3203267741120 3319780041130 3364326610372 3403471974940 3643717055524 3794034332720 3844944697568 3958031306320 4061848520912 4140709674304 4164248063456 4205408262965 4315714053469 4412231620160 4424513567422 4484574837568 4554646319405 4764860764916 4778645318720 4806180871960 4932244632536 5077310651140 5175887092880 5205310079320 5311648065808 5445555159904 5605718546960 5785902357398 5802640744160 5956075956145 6165305790670 6248997724480 6639560082260 6728653220744 6806943949880 7287434111048 7588068665440 7689889395136 7916062612640 8123697041824 8328496126912 8410816525930 8631428106938 8849027134844 9109292638810 9529721529832 9612361743920 9864489265072 10154621302280 10351774185760 10410620158640 10623296131616 10891110319808 11061283918555 11211437093920 11571804714796 11605281488320 11912151912290 12330611581340 13279120164520 13457306441488 13613887899760 14464755893495 14574868222096 15176137330880 15485797485977 15832125225280 16247394083648 16821633051860 17262856213876 17698054269688 18218585277620 19059443059664 19224723487840 19728978530144 20250658250893 20309242604560 20703548371520 20821240317280 21246592263232 21578570267345 22122567837110 22422874187840 23143609429592 23824303824580 24661223162680 26558240329040 26914612882976 27227775799520 28929511786990 29149736444192 30971594971954 33643266103720 34525712427752 35396108539376 36437170555240 37608365323087 38118886119328 38449446975680 39457957060288 40501316501786 40618485209120 41642480634560 43157140534690 44245135674220 46287218859184 47648607649160 49322446325360 53116480658080 53829225765952 54455551599040 57859023573980 58299472888384 61943189943908 67286532207440 69051424855504 70792217078752 72874341110480 75216730646174 76237772238656 77428987429885 81002633003572 81236970418240 86314281069380 88490271348440 92574437718368 95297215298320 98644892650720 101253291254465 106232961316160 115718047147960 123886379887816 134573064414880 138102849711008 141584434157504 145748682220960 150433461292348 154857974859770 162005266007144 172628562138760 176980542696880 185148875436736 188041826615435 190594430596640 197289785301440 202506582508930 231436094295920 247772759775632 263258557261609 269146128829760 276205699422016 291497364441920 300866922584696 309715949719540 324010532014288 345257124277520 353961085393760 376083653230870 381188861193280 405013165017860 462872188591840 495545519551264 526517114523218 601733845169392 619431899439080 648021064028576 690514248555040 707922170787520 752167306461740 810026330035720 925744377183680 991091039102528 1053034229046436 1203467690338784 1238863798878160 1296042128057152 1316292786308045 1381028497110080 1504334612923480 1620052660071440 2106068458092872 2406935380677568 2477727597756320 2632585572616090 3008669225846960 3240105320142880 4212136916185744 4955455195512640 5265171145232180 6017338451693920 6480210640285760 8424273832371488 10530342290464360 12034676903387840 16848547664742976 21060684580928720 42121369161857440 84242738323714880
- Sum of all divisors σ(n): 267425381898780672
- Sum of proper divisors (its aliquot sum) s(n): 183182643575065792
- 84242738323714880 is an abundant number, because the sum of its proper divisors (183182643575065792) is greater than itself. Its abundance is 98939905251350912
Bases of 84242738323714880
- Binary: 1001010110100101001010010111111001011000011110011010000002
- Hexadecimal: 0x12B4A52FCB0F340
- Base-36: N1HK3PUW4ZK
Squares and roots of 84242738323714880
- 84242738323714880 squared (842427383237148802) is 7096838960277899749874203533414400
- 84242738323714880 cubed (842427383237148803) is 597857147456235888224603145406661356542018486272000
-
The
square root of 84242738323714880 is 290245996.2234016415 -
The
cube root of 84242738323714880 is 438373.3642940621
Scales and comparisons
How big is 84242738323714880?- 84,242,738,323,714,880 seconds is equal to 2,678,658,498 years, 41 weeks, 2 days, 12 hours, 21 minutes, 20 seconds.
-
To count from 1 to 84,242,738,323,714,880 would take you about eight billion, thirty-five million, nine hundred seventy-five thousand, four hundred ninety-six 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 84242738323714880 cubic inches would be around 36531.1 feet tall.
Recreational maths with 84242738323714880
- 84242738323714880 backwards is 08841732383724248
- The number of decimal digits it has is: 17
- The sum of 84242738323714880's digits is 74
- More coming soon!
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"Number 84242738323714880 - Facts about the integer". Numbermatics.com. 2024. Web. 28 June 2024.
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Numbermatics. (2024). Number 84242738323714880 - Facts about the integer. Retrieved 28 June 2024, from https://numbermatics.com/n/84242738323714880/
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Numbermatics. 2024. "Number 84242738323714880 - Facts about the integer". https://numbermatics.com/n/84242738323714880/
The information we have on file for 84242738323714880 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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