42085661409830400
42,085,661,409,830,400 is an even composite number composed of five prime numbers multiplied together.
42085661409830400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred divisors.
Prime factorization of 42085661409830400:
29 × 3 × 52 × 234 × 19792
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 23 × 23 × 23 × 23 × 1979 × 1979)See below for interesting mathematical facts about the number 42085661409830400 from the Numbermatics database.
Names of 42085661409830400
- Cardinal: 42085661409830400 can be written as Forty-two quadrillion, eighty-five trillion, six hundred sixty-one billion, four hundred nine million, eight hundred thirty thousand, four hundred.
Scientific notation
- Scientific notation: 4.20856614098304 × 1016
Factors of 42085661409830400
Divisors of 42085661409830400
- Number of divisors d(n): 900
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 32 40 46 48 50 60 64 69 75 80 92 96 100 115 120 128 138 150 160 184 192 200 230 240 256 276 300 320 345 368 384 400 460 480 512 529 552 575 600 640 690 736 768 800 920 960 1058 1104 1150 1200 1280 1380 1472 1536 1587 1600 1725 1840 1920 1979 2116 2208 2300 2400 2560 2645 2760 2944 3174 3200 3450 3680 3840 3958 4232 4416 4600 4800 5290 5520 5888 5937 6348 6400 6900 7360 7680 7916 7935 8464 8832 9200 9600 9895 10580 11040 11776 11874 12167 12696 12800 13225 13800 14720 15832 15870 16928 17664 18400 19200 19790 21160 22080 23748 24334 25392 26450 27600 29440 29685 31664 31740 33856 35328 36501 36800 38400 39580 39675 42320 44160 45517 47496 48668 49475 50784 52900 55200 58880 59370 60835 63328 63480 67712 73002 73600 79160 79350 84640 88320 91034 94992 97336 98950 101568 105800 110400 118740 121670 126656 126960 135424 136551 146004 147200 148425 158320 158700 169280 176640 182068 182505 189984 194672 197900 203136 211600 220800 227585 237480 243340 253312 253920 270848 273102 279841 292008 294400 296850 304175 316640 317400 338560 364136 365010 379968 389344 395800 406272 423200 441600 455170 474960 486680 506624 507840 546204 559682 584016 593700 608350 633280 634800 677120 682755 728272 730020 759936 778688 791600 812544 839523 846400 883200 910340 912525 949920 973360 1013248 1015680 1046891 1092408 1119364 1137925 1168032 1187400 1216700 1266560 1269600 1354240 1365510 1399205 1456544 1460040 1519872 1557376 1583200 1679046 1692800 1820680 1825050 1899840 1946720 2031360 2093782 2184816 2238728 2275850 2336064 2374800 2433400 2533120 2539200 2731020 2798410 2913088 2920080 3039744 3114752 3140673 3166400 3358092 3385600 3413775 3641360 3650100 3799680 3893440 3916441 4062720 4187564 4197615 4369632 4477456 4551700 4672128 4749600 4866800 5066240 5078400 5234455 5462040 5596820 5826176 5840160 6229504 6281346 6332800 6716184 6771200 6827550 6996025 7282720 7300200 7599360 7786880 7832882 8375128 8395230 8739264 8954912 9103400 9344256 9499200 9733600 10156800 10468910 10924080 11193640 11652352 11680320 11749323 12562692 12665600 13432368 13655100 13992050 14565440 14600400 15198720 15573760 15665764 15703365 16750256 16790460 17478528 17909824 18206800 18688512 18998400 19467200 19582205 20313600 20937820 20988075 21848160 22387280 23304704 23360640 23498646 24078493 25125384 25331200 26172275 26864736 27310200 27984100 29130880 29200800 31147520 31331528 31406730 33500512 33580920 34957056 35819648 36413600 37996800 38934400 39164410 41875640 41976150 43696320 44774560 46721280 46997292 48156986 50250768 52344550 53729472 54620400 55968200 58261760 58401600 58746615 62663056 62813460 67001024 67161840 69914112 71639296 72235479 72827200 75993600 77868800 78328820 78516825 83751280 83952300 87392640 89549120 90078143 93442560 93994584 96313972 97911025 100501536 104689100 107458944 109240800 111936400 116523520 116803200 117493230 120392465 125326112 125626920 134002048 134323680 143278592 144470958 145654400 155737600 156657640 157033650 167502560 167904600 174785280 179098240 180156286 187989168 192627944 195822050 201003072 209378200 214917888 218481600 223872800 233606400 234986460 240784930 250652224 251253840 268004096 268647360 270234429 288941916 291308800 293733075 313315280 314067300 335005120 335809200 349570560 358196480 360312572 361177395 375978336 385255888 391644100 402006144 418756400 429835776 436963200 447745600 450390715 467212800 469972920 481569860 501304448 502507680 536008192 537294720 540468858 553805339 577883832 582617600 587466150 601962325 626630560 628134600 670010240 671618400 716392960 720625144 722354790 751956672 770511776 783288200 804012288 837512800 873926400 895491200 900781430 939945840 963139720 1002608896 1005015360 1074589440 1080937716 1107610678 1155767664 1174932300 1203924650 1253261120 1256269200 1340020480 1343236800 1351172145 1441250288 1444709580 1503913344 1541023552 1566576400 1608024576 1661416017 1675025600 1747852800 1790982400 1801562860 1805886975 1879891680 1926279440 2005217792 2010030720 2071797289 2149178880 2161875432 2215221356 2251953575 2311535328 2349864600 2407849300 2506522240 2512538400 2680040960 2686473600 2702344290 2769026695 2882500576 2889419160 3007826688 3082047104 3133152800 3322832034 3350051200 3581964800 3603125720 3611773950 3759783360 3852558880 4020061440 4143594578 4323750864 4430442712 4503907150 4623070656 4699729200 4815698600 5013044480 5025076800 5372947200 5404688580 5538053390 5765001152 5778838320 6015653376 6164094208 6215391867 6266305600 6645664068 6700102400 6755860725 7206251440 7223547900 7519566720 7705117760 8040122880 8287189156 8307080085 8647501728 8860885424 9007814300 9246141312 9399458400 9631397200 10026088960 10050153600 10358986445 10745894400 10809377160 11076106780 11530002304 11557676640 12328188416 12430783734 12532611200 13291328136 13400204800 13511721450 13845133475 14412502880 14447095800 15039133440 15410235520 16574378312 16614160170 17295003456 17721770848 18015628600 18492282624 18798916800 19262794400 20100307200 20717972890 21618754320 22152213560 23060004608 23115353280 24861567468 25065222400 26582656272 27023442900 27690266950 28825005760 28894191600 30078266880 30820471040 31076959335 33148756624 33228320340 34590006912 35443541696 36031257200 36984565248 37597833600 38525588800 40200614400 41435945780 41535400425 43237508640 44304427120 46120009216 46230706560 47651337647 49723134936 50130444800 51794932225 53165312544 54046885800 55380533900 57650011520 57788383200 61640942080 62153918670 66297513248 66456640680 69180013824 70887083392 72062514400 75195667200 77051177600 82871891560 83070800850 86475017280 88608854240 92461413120 95302675294 99446269872 103589864450 106330625088 108093771600 110761067800 115300023040 115576766400 124307837340 132595026496 132913281360 138360027648 141774166784 142954012941 144125028800 150391334400 154102355200 155384796675 165743783120 166141601700 172950034560 177217708480 184922826240 190605350588 198892539744 207179728900 212661250176 216187543200 221522135600 230600046080 231153532800 238256688235 248615674680 265190052992 265826562720 283548333568 285908025882 288250057600 308204710400 310769593350 331487566240 332283203400 345900069120 354435416960 381210701176 397785079488 414359457800 425322500352 432375086400 443044271200 462307065600 476513376470 497231349360 530380105984 531653125440 571816051764 576500115200 621539186700 662975132480 664566406800 691800138240 708870833920 714770064705 762421402352 795570158976 828718915600 850645000704 864750172800 886088542400 924614131200 953026752940 994462698720 1060760211968 1063306250880 1095980765881 1143632103528 1153000230400 1191283441175 1243078373400 1325950264960 1329132813600 1417741667840 1429540129410 1524842804704 1591140317952 1657437831200 1729500345600 1772177084800 1906053505880 1988925397440 2126612501760 2191961531762 2287264207056 2382566882350 2486156746800 2651900529920 2658265627200 2859080258820 3049685609408 3182280635904 3287942297643 3314875662400 3459000691200 3544354169600 3573850323525 3812107011760 3977850794880 4253225003520 4383923063524 4574528414112 4765133764700 4972313493600 5303801059840 5316531254400 5479903829405 5718160517640 6099371218816 6575884595286 6629751324800 7088708339200 7147700647050 7624214023520 7955701589760 8767846127048 9149056828224 9530267529400 9944626987200 10633062508800 10959807658810 11436321035280 12198742437632 13151769190572 13259502649600 14295401294100 15248428047040 15911403179520 16439711488215 17535692254096 18298113656448 19060535058800 19889253974400 21266125017600 21919615317620 22872642070560 24397484875264 26303538381144 26519005299200 27399519147025 28590802588200 30496856094080 32879422976430 35071384508192 36596227312896 38121070117600 39778507948800 43839230635240 45745284141120 52607076762288 54799038294050 57181605176400 60993712188160 65758845952860 70142769016384 73192454625792 76242140235200 79557015897600 82198557441075 87678461270480 91490568282240 105214153524576 109598076588100 114363210352800 121987424376320 131517691905720 140285538032768 152484280470400 164397114882150 175356922540960 182981136564480 210428307049152 219196153176200 228726420705600 263035383811440 280571076065536 304968560940800 328794229764300 350713845081920 365962273128960 420856614098304 438392306352400 457452841411200 526070767622880 561142152131072 609937121881600 657588459528600 701427690163840 841713228196608 876784612704800 914905682822400 1052141535245760 1315176919057200 1402855380327680 1683426456393216 1753569225409600 1829811365644800 2104283070491520 2630353838114400 2805710760655360 3507138450819200 4208566140983040 5260707676228800 7014276901638400 8417132281966080 10521415352457600 14028553803276800 21042830704915200 42085661409830400
- Sum of all divisors σ(n): 145420236284392212
- Sum of proper divisors (its aliquot sum) s(n): 103334574874561812
- 42085661409830400 is an abundant number, because the sum of its proper divisors (103334574874561812) is greater than itself. Its abundance is 61248913464731412
Bases of 42085661409830400
- Binary: 100101011000010010101111101000100111100001100110000000002
- Hexadecimal: 0x9584AFA2786600
- Base-36: BIE4DXZU3UO
Squares and roots of 42085661409830400
- 42085661409830400 squared (420856614098304002) is 1771202896302887731749756764160000
- 42085661409830400 cubed (420856614098304003) is 74542245381914277872450200266990224318398464000000
-
The
square root of 42085661409830400 is 205147901.3049619281 -
The
cube root of 42085661409830400 is 347838.8225349081
Scales and comparisons
How big is 42085661409830400?- 42,085,661,409,830,400 seconds is equal to 1,338,193,853 years, 17 weeks, 2 days, 18 hours, 40 minutes.
-
To count from 1 to 42,085,661,409,830,400 would take you about four billion, fourteen million, five hundred eighty-one thousand, five hundred 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 42085661409830400 cubic inches would be around 28986.6 feet tall.
Recreational maths with 42085661409830400
- 42085661409830400 backwards is 00403890416658024
- 42085661409830400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42085661409830400's digits is 60
- 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 42085661409830400 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
APA style:
Numbermatics. (2024). Number 42085661409830400 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/42085661409830400/
Chicago style:
Numbermatics. 2024. "Number 42085661409830400 - Facts about the integer". https://numbermatics.com/n/42085661409830400/
The information we have on file for 42085661409830400 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 42085661409830400, math, Factors of 42085661409830400, curriculum, school, college, exams, university, Prime factorization of 42085661409830400, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, eighty-five trillion, six hundred sixty-one billion, four hundred nine million, eight hundred thirty thousand, four hundred.