42640853215664000
42,640,853,215,664,000 is an even composite number composed of five prime numbers multiplied together.
42640853215664000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 42640853215664000:
27 × 53 × 113 × 292 × 15432
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 11 × 11 × 29 × 29 × 1543 × 1543)See below for interesting mathematical facts about the number 42640853215664000 from the Numbermatics database.
Names of 42640853215664000
- Cardinal: 42640853215664000 can be written as Forty-two quadrillion, six hundred forty trillion, eight hundred fifty-three billion, two hundred fifteen million, six hundred sixty-four thousand.
Scientific notation
- Scientific notation: 4.2640853215664 × 1016
Factors of 42640853215664000
Divisors of 42640853215664000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 29 32 40 44 50 55 58 64 80 88 100 110 116 121 125 128 145 160 176 200 220 232 242 250 275 290 319 320 352 400 440 464 484 500 550 580 605 638 640 704 725 800 841 880 928 968 1000 1100 1160 1210 1276 1331 1375 1408 1450 1543 1595 1600 1682 1760 1856 1936 2000 2200 2320 2420 2552 2662 2750 2900 3025 3086 3190 3200 3364 3509 3520 3625 3712 3872 4000 4205 4400 4640 4840 5104 5324 5500 5800 6050 6172 6380 6655 6728 7018 7040 7250 7715 7744 7975 8000 8410 8800 9251 9280 9680 10208 10648 11000 11600 12100 12344 12760 13310 13456 14036 14500 15125 15430 15488 15950 16000 16820 16973 17545 17600 18502 18560 19360 20416 21025 21296 22000 23200 24200 24688 25520 26620 26912 28072 29000 30250 30860 31900 33275 33640 33946 35090 35200 37004 38575 38599 38720 39875 40832 42050 42592 44000 44747 46255 46400 48400 49376 51040 53240 53824 56144 58000 60500 61720 63800 66550 67280 67892 70180 74008 77150 77198 77440 79750 84100 84865 85184 87725 88000 89494 92510 92800 96800 98752 101761 102080 105125 106480 107648 112288 116000 121000 123440 127600 133100 134560 135784 140360 148016 154300 154396 159500 166375 168200 169730 170368 175450 176000 178988 185020 186703 192875 192995 193600 197504 203522 204160 210250 212960 223735 224576 231275 232000 242000 246880 255200 266200 269120 271568 280720 296032 308600 308792 319000 332750 336400 339460 350900 357976 370040 373406 385750 385990 387200 407044 420500 424325 425920 438625 447470 449152 462550 464000 484000 492217 493760 508805 510400 532400 538240 543136 561440 592064 617200 617584 638000 665500 672800 678920 701800 715952 740080 746812 771500 771980 814088 841000 848650 851840 877250 894940 925100 933515 964975 968000 984434 987520 1017610 1020800 1064800 1086272 1118675 1119371 1122880 1156375 1184128 1234400 1235168 1276000 1297663 1331000 1345600 1357840 1403600 1431904 1480160 1493624 1543000 1543960 1628176 1682000 1697300 1754500 1789880 1850200 1867030 1929950 1936000 1968868 2035220 2053733 2121625 2129600 2172544 2237350 2238742 2245760 2312750 2380849 2461085 2468800 2470336 2544025 2552000 2595326 2662000 2691200 2715680 2807200 2863808 2960320 2987248 3086000 3087920 3256352 3364000 3394600 3509000 3579760 3700400 3734060 3859900 3937736 4070440 4107466 4243250 4259200 4474700 4477484 4625500 4667575 4761698 4824875 4922170 4937600 4940672 5088050 5104000 5190652 5324000 5414387 5431360 5593375 5596855 5614400 5727616 5920640 5974496 6172000 6175840 6488315 6512704 6728000 6789200 7018000 7159520 7400800 7468120 7719800 7875472 8140880 8214932 8486500 8949400 8954968 9251000 9335150 9523396 9649750 9844340 10176100 10268665 10381304 10648000 10828774 10862720 11186750 11193710 11228800 11904245 11948992 12305425 12344000 12351680 12720125 12976630 13025408 13456000 13578400 14036000 14274293 14319040 14801600 14936240 15439600 15750944 16281760 16429864 16973000 17898800 17909936 18502000 18670300 19046792 19299500 19688680 20352200 20537330 20762608 21296000 21657548 22373500 22387420 23337875 23808490 23897984 24610850 24688000 24703360 25440250 25953260 26189339 27071935 27156800 27984275 28072000 28548586 28638080 29603200 29872480 30879200 31501888 32441575 32563520 32859728 33946000 35797600 35819872 37004000 37340600 38093584 38599000 39377360 40704400 41074660 41525216 43315096 44747000 44774840 46675750 47616980 49221700 50880500 51343325 51906520 52378678 54143870 54313600 55968550 56144000 57097172 59521225 59558257 59744960 61527125 61758400 63003776 64883150 65127040 65719456 67892000 69044621 71371465 71595200 71639744 74008000 74681200 76187168 77198000 78754720 81408800 82149320 83050432 86630192 89494000 89549680 93351500 95233960 98443400 101761000 102686650 103813040 104757356 108287740 111937100 114194344 119042450 119116514 119489920 123054250 123516800 129766300 130946695 131438912 135359675 135784000 138089242 139921375 142742930 143190400 143279488 148016000 149362400 152374336 154396000 157017223 157509440 162207875 162817600 164298640 166100864 173260384 178988000 179099360 186703000 190467920 196886800 203522000 205373300 207626080 209514712 216575480 223874200 228388688 238084900 238233028 246108500 256716625 259532600 261893390 262877824 270719350 271568000 276178484 279842750 285485860 288082729 297606125 297791285 298724800 304748672 308792000 314034446 315018880 324415750 325635200 328597280 345223105 346520768 356857325 357976000 358198720 373406000 380935840 393773600 407044000 410746600 415252160 419029424 433150960 447748400 456777376 476169800 476466056 492217000 513433250 519065200 523786780 541438700 552356968 559685500 570971720 576165458 595212250 595582570 597449600 617584000 628068892 648831500 654733475 657194560 676798375 690446210 693041536 713714650 715952000 716397440 746812000 759490831 761871680 785086115 787547200 814088000 821493200 830504320 838058848 866301920 895496800 913554752 952339600 952932112 984434000 1026866500 1038130400 1047573560 1082877400 1104713936 1119371000 1141943440 1152330916 1190424500 1191165140 1256137784 1297663000 1309466950 1314389120 1353596750 1380892420 1427429300 1440413645 1488956425 1493624000 1518981662 1523743360 1570172230 1575094400 1628176000 1642986400 1676117696 1726115525 1727189453 1732603840 1784286625 1790993600 1827109504 1904679200 1905864224 1968868000 2002294009 2053733000 2076260800 2095147120 2165754800 2209427872 2238742000 2283886880 2304661832 2380849000 2382330280 2512275568 2595326000 2618933900 2707193500 2761784840 2854858600 2880827290 2977912850 2987248000 3037963324 3140344460 3168910019 3273667375 3285972800 3352235392 3452231050 3454378906 3465207680 3568573250 3581987200 3797454155 3809358400 3811728448 3925430575 3937736000 4004588018 4107466000 4152521600 4190294240 4331509600 4418855744 4477484000 4567773760 4609323664 4761698000 4764660560 5024551136 5190652000 5237867800 5414387000 5523569680 5709717200 5761654580 5955825700 6075926648 6280688920 6337820038 6547334750 6571945600 6904462100 6908757812 7137146500 7202068225 7444782125 7594908310 7618716800 7623456896 7850861150 7875472000 8009176036 8214932000 8354399141 8380588480 8630577625 8635947265 8663019200 8837711488 8954968000 9135547520 9218647328 9523396000 9529321120 10011470045 10049102272 10381304000 10475735600 10828774000 11047139360 11419434400 11523309160 11911651400 12151853296 12561377840 12675640076 13094669500 13808924200 13817515624 14274293000 14404136450 14889564250 15189816620 15701722300 15844550095 16018352072 16429864000 16708798282 16761176960 17261155250 17271894530 17326038400 17909936000 18437294656 18987270775 19046792000 19058642240 19627152875 20022940090 20098204544 20762608000 20951471200 21657548000 22025234099 22094278720 22838868800 23046618320 23823302800 24303706592 25122755680 25351280152 26189339000 27617848400 27635031248 28548586000 28808272900 29779128500 30379633240 31403444600 31689100190 32036704144 32859728000 33417596564 34522310500 34543789060 36010341125 36874589312 37974541550 38093584000 38117284480 39254305750 40045880180 41771995705 41902942400 43179736325 43315096000 44050468198 44188557440 45677737600 46093236640 47646605600 48607413184 50057350225 50245511360 50702560304 52378678000 55235696800 55270062496 57097172000 57616545800 59558257000 60759266480 62806889200 63378200380 64073408288 66835193128 69044621000 69087578120 72020682250 75949083100 78508611500 79222750475 80091760360 83543991410 83805884800 86359472650 86630192000 88100936396 91898390551 92186473280 94936353875 95293211200 97214826368 100114700450 100491022720 101405120608 104757356000 110126170495 110471393600 110540124992 114194344000 115233091600 119116514000 121518532960 125613778400 126756400760 128146816576 133670386256 138089242000 138175156240 144041364500 151898166200 157017223000 158445500950 160183520720 167087982820 172718945300 176201872792 183796781102 184372946560 189872707750 190586422400 200229400900 202810241216 208859978525 209514712000 215898681625 220252340990 220942787200 221080249984 228388688000 230466183200 238233028000 242277575089 243037065920 250286751125 251227556800 253512801520 256293633152 267340772512 276178484000 276350312480 288082729000 303796332400 314034446000 316891001900 320367041440 334175965640 345437890600 352403745584 367593562204 379745415500 396113752375 400458801800 405620482432 417719957050 419029424000 431797363250 440504681980 459491952755 460932366400 476466056000 484555150178 486074131840 500573502250 502455113600 507025603040 534681545024 550630852475 552356968000 552700624960 576165458000 607592664800 628068892000 633782003800 640734082880 668351931280 690875781200 704807491168 735187124408 759490831000 792227504750 800917603600 835439914100 863594726500 881009363960 918983905510 921864732800 952932112000 969110300356 1001147004500 1014051206080 1044299892625 1069363090048 1101261704950 1104713936000 1105401249920 1152330916000 1211387875445 1215185329600 1256137784000 1267564007600 1281468165760 1336703862560 1381751562400 1409614982336 1470374248816 1518981662000 1584455009500 1601835207200 1670879828200 1727189453000 1762018727920 1837967811020 1938220600712 2002294009000 2028102412160 2088599785250 2202523409900 2297459763775 2304661832000 2422775750890 2430370659200 2512275568000 2535128015200 2665053325979 2673407725120 2753154262375 2763503124800 2819229964672 2940748497632 3037963324000 3168910019000 3203670414400 3341759656400 3454378906000 3524037455840 3675935622040 3876441201424 4004588018000 4177199570500 4405046819800 4594919527550 4609323664000 4845551501780 5070256030400 5330106651958 5346815450240 5506308524750 5527006249600 5881496995264 6056939377225 6075926648000 6337820038000 6407340828800 6683519312800 6908757812000 7048074911680 7351871244080 7752882402848 8009176036000 8354399141000 8810093639600 9189839055100 9691103003560 10140512060800 10660213303916 11012617049500 11487298818875 11762993990528 12113878754450 12151853296000 12675640076000 13325266629895 13367038625600 13817515624000 14096149823360 14703742488160 15505764805696 16018352072000 16708798282000 17620187279200 18379678110200 19382206007120 21320426607832 22025234099000 22974597637750 24227757508900 25351280152000 26650533259790 26734077251200 27635031248000 29407484976320 30284696886125 31011529611392 32036704144000 33417596564000 35240374558400 36759356220400 38764412014240 42640853215664 44050468198000 45949195275500 48455515017800 50702560304000 53301066519580 58814969952640 60569393772250 66626333149475 66835193128000 70480749116800 73518712440800 77528824028480 85281706431328 88100936396000 91898390551000 96911030035600 106602133039160 121138787544500 133252666298950 133670386256000 147037424881600 155057648056960 170563412862656 176201872792000 183796781102000 193822060071200 213204266078320 242277575089000 266505332597900 294074849763200 333131665747375 341126825725312 352403745584000 367593562204000 387644120142400 426408532156640 484555150178000 533010665195800 666263331494750 735187124408000 775288240284800 852817064313280 969110300356000 1066021330391600 1332526662989500 1470374248816000 1705634128626560 1938220600712000 2132042660783200 2665053325979000 3876441201424000 4264085321566400 5330106651958000 8528170643132800 10660213303916000 21320426607832000 42640853215664000
- Sum of all divisors σ(n): 120847428872969760
- Sum of proper divisors (its aliquot sum) s(n): 78206575657305760
- 42640853215664000 is an abundant number, because the sum of its proper divisors (78206575657305760) is greater than itself. Its abundance is 35565722441641760
Bases of 42640853215664000
- Binary: 100101110111110110100001010011001101011011010111100000002
- Hexadecimal: 0x977DA14CD6D780
- Base-36: BNUX5JEEGZK
Squares and roots of 42640853215664000
- 42640853215664000 squared (426408532156640002) is 1818242362959802889294960896000000
- 42640853215664000 cubed (426408532156640003) is 77531405709471020876764631523992734674944000000000
-
The
square root of 42640853215664000 is 206496617.9279069937 -
The
cube root of 42640853215664000 is 349361.7025330131
Scales and comparisons
How big is 42640853215664000?- 42,640,853,215,664,000 seconds is equal to 1,355,847,235 years, 22 weeks, 5 days, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 42,640,853,215,664,000 would take you about four billion, sixty-seven million, five hundred forty-one thousand, seven hundred 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 42640853215664000 cubic inches would be around 29113.5 feet tall.
Recreational maths with 42640853215664000
- 42640853215664000 backwards is 00046651235804624
- The number of decimal digits it has is: 17
- The sum of 42640853215664000's digits is 56
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 42640853215664000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
APA style:
Numbermatics. (2024). Number 42640853215664000 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/42640853215664000/
Chicago style:
Numbermatics. 2024. "Number 42640853215664000 - Facts about the integer". https://numbermatics.com/n/42640853215664000/
The information we have on file for 42640853215664000 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 42640853215664000, math, Factors of 42640853215664000, curriculum, school, college, exams, university, Prime factorization of 42640853215664000, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, six hundred forty trillion, eight hundred fifty-three billion, two hundred fifteen million, six hundred sixty-four thousand.