4142214631872000
4,142,214,631,872,000 is an even composite number composed of six prime numbers multiplied together.
4142214631872000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 4142214631872000:
29 × 33 × 53 × 83 × 181 × 159563
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 83 × 181 × 159563)See below for interesting mathematical facts about the number 4142214631872000 from the Numbermatics database.
Names of 4142214631872000
- Cardinal: 4142214631872000 can be written as Four quadrillion, one hundred forty-two trillion, two hundred fourteen billion, six hundred thirty-one million, eight hundred seventy-two thousand.
Scientific notation
- Scientific notation: 4.142214631872 × 1015
Factors of 4142214631872000
Divisors of 4142214631872000
- Number of divisors d(n): 1280
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 83 90 96 100 108 120 125 128 135 144 150 160 166 180 181 192 200 216 225 240 249 250 256 270 288 300 320 332 360 362 375 384 400 415 432 450 480 498 500 512 540 543 576 600 640 664 675 720 724 747 750 768 800 830 864 900 905 960 996 1000 1080 1086 1125 1152 1200 1245 1280 1328 1350 1440 1448 1494 1500 1536 1600 1629 1660 1728 1800 1810 1920 1992 2000 2075 2160 2172 2241 2250 2304 2400 2490 2560 2656 2700 2715 2880 2896 2988 3000 3200 3258 3320 3375 3456 3600 3620 3735 3840 3984 4000 4150 4320 4344 4482 4500 4525 4608 4800 4887 4980 5312 5400 5430 5760 5792 5976 6000 6225 6400 6516 6640 6750 6912 7200 7240 7470 7680 7968 8000 8145 8300 8640 8688 8964 9000 9050 9600 9774 9960 10375 10624 10800 10860 11205 11520 11584 11952 12000 12450 12800 13032 13280 13500 13575 13824 14400 14480 14940 15023 15936 16000 16290 16600 17280 17376 17928 18000 18100 18675 19200 19548 19920 20750 21248 21600 21720 22410 22625 23040 23168 23904 24000 24435 24900 26064 26560 27000 27150 28800 28960 29880 30046 31125 31872 32000 32580 33200 34560 34752 35856 36000 36200 37350 38400 39096 39840 40725 41500 42496 43200 43440 44820 45069 45250 46336 47808 48000 48870 49800 52128 53120 54000 54300 56025 57600 57920 59760 60092 62250 63744 64000 65160 66400 67875 69120 69504 71712 72000 72400 74700 75115 78192 79680 81450 83000 86400 86880 89640 90138 90500 92672 93375 95616 96000 97740 99600 104256 106240 108000 108600 112050 115200 115840 119520 120184 122175 124500 127488 130320 132800 135207 135750 139008 143424 144000 144800 149400 150230 156384 159360 159563 162900 166000 172800 173760 179280 180276 181000 186750 191232 192000 195480 199200 203625 208512 212480 216000 217200 224100 225345 231680 239040 240368 244350 249000 260640 265600 270414 271500 278016 280125 286848 288000 289600 298800 300460 312768 318720 319126 325800 332000 345600 347520 358560 360552 362000 373500 375575 382464 390960 398400 405621 407250 417024 432000 434400 448200 450690 463360 478080 478689 480736 488700 498000 521280 531200 540828 543000 560250 573696 576000 579200 597600 600920 610875 625536 637440 638252 651600 664000 676035 695040 717120 721104 724000 747000 751150 781920 796800 797815 811242 814500 834048 864000 868800 896400 901380 956160 957378 961472 977400 996000 1042560 1062400 1081656 1086000 1120500 1126725 1147392 1158400 1195200 1201840 1221750 1251072 1276504 1303200 1328000 1352070 1390080 1434240 1436067 1442208 1448000 1494000 1502300 1563840 1593600 1595630 1622484 1629000 1728000 1737600 1792800 1802760 1877875 1912320 1914756 1922944 1954800 1992000 2028105 2085120 2163312 2172000 2241000 2253450 2316800 2390400 2393445 2403680 2443500 2502144 2553008 2606400 2656000 2704140 2868480 2872134 2884416 2896000 2988000 3004600 3127680 3187200 3191260 3244968 3258000 3380175 3475200 3585600 3605520 3755750 3829512 3845888 3909600 3984000 3989075 4056210 4170240 4308201 4326624 4344000 4482000 4506900 4780800 4786890 4807360 4887000 5106016 5212800 5312000 5408280 5633625 5736960 5744268 5768832 5792000 5976000 6009200 6255360 6382520 6489936 6516000 6760350 6950400 7171200 7180335 7211040 7511500 7659024 7691776 7819200 7968000 7978150 8112420 8616402 8653248 8688000 8964000 9013800 9561600 9573780 9614720 9774000 10140525 10212032 10425600 10816560 11267250 11488536 11537664 11584000 11952000 11967225 12018400 12510720 12765040 12979872 13032000 13243729 13520700 14342400 14360670 14422080 15023000 15318048 15638400 15936000 15956300 16224840 16900875 17232804 17306496 17376000 17928000 18027600 19147560 19229440 19548000 19945375 20281050 20424064 20851200 21541005 21633120 22534500 22977072 23075328 23904000 23934450 24036800 25530080 25959744 26064000 26487458 27041400 28684800 28721340 28844160 28880903 30046000 30636096 31276800 31912600 32449680 33801750 34465608 34612992 34752000 35856000 35901675 36055200 38295120 38458880 39096000 39731187 39890750 40562100 40848128 43082010 43266240 45069000 45954144 47808000 47868900 48073600 50702625 51060160 51919488 52128000 52974916 54082800 57442680 57688320 57761806 59836125 60092000 61272192 62553600 63825200 64899360 66218645 67603500 68931216 69225984 71712000 71803350 72110400 76590240 78192000 79462374 79781500 81124200 81696256 86164020 86532480 86642709 90138000 91908288 95737800 96147200 101405250 102120320 103838976 104256000 105949832 107705025 108165600 114885360 115376640 115523612 119193561 119672250 120184000 122544384 127650400 129798720 132437290 135207000 137862432 143424000 143606700 144220800 144404515 153180480 156384000 158924748 159563000 162248400 172328040 173064960 173285418 179508375 180276000 183816576 191475600 192294400 198655935 202810500 204240640 207677952 211899664 215410050 216331200 229770720 231047224 238387122 239344500 240368000 245088768 255300800 259597440 259928127 264874580 270414000 275724864 287213400 288441600 288809030 306360960 312768000 317849496 319126000 324496800 331093225 344656080 346129920 346570836 357580683 359016750 360552000 367633152 382951200 397311870 405621000 408481280 423799328 430820100 432662400 433213545 459541440 462094448 476774244 478689000 480736000 510601600 519194880 519856254 529749160 538525125 540828000 551449728 574426800 576883200 577618060 595967805 612721920 635698992 638252000 648993600 662186450 689312160 693141672 715161366 718033500 721104000 722022575 735266304 765902400 779784381 794623740 811242000 847598656 861640200 865324800 866427090 919082880 924188896 953548488 957378000 961472000 993279675 1021203200 1038389760 1039712508 1059498320 1077050250 1081656000 1102899456 1148853600 1155236120 1191935610 1225443840 1271397984 1276504000 1297987200 1299640635 1324372900 1378624320 1386283344 1430322732 1436067000 1442208000 1444045150 1531804800 1559568762 1589247480 1622484000 1655466125 1695197312 1723280400 1730649600 1732854180 1787903415 1838165760 1848377792 1907096976 1914756000 1986559350 2042406400 2079425016 2118996640 2154100500 2163312000 2166067725 2205798912 2297707200 2310472240 2383871220 2397114949 2542795968 2553008000 2595974400 2599281270 2648745800 2757248640 2772566688 2860645464 2872134000 2884416000 2888090300 2979839025 3063609600 3119137524 3178494960 3244968000 3310932250 3390394624 3446560800 3465708360 3575806830 3610112875 3676331520 3696755584 3814193952 3829512000 3898921905 3973118700 4158850032 4237993280 4308201000 4326624000 4332135450 4595414400 4620944480 4767742440 4794229898 4966398375 5085591936 5106016000 5191948800 5198562540 5297491600 5514497280 5545133376 5721290928 5744268000 5776180600 5959678050 6127219200 6238275048 6356989920 6489936000 6498203175 6621864500 6780789248 6893121600 6931416720 7151613660 7191344847 7220225750 7393511168 7628387904 7659024000 7797843810 7946237400 8317700064 8475986560 8616402000 8653248000 8664270900 8939517075 9190828800 9241888960 9535484880 9588459796 9932796750 10171183872 10212032000 10397125080 10594983200 10830338625 11028994560 11090266752 11442581856 11488536000 11552361200 11919356100 11985574745 12476550096 12713979840 12979872000 12996406350 13243729000 13786243200 13862833440 14303227320 14382689694 14440451500 14787022336 14899195125 15256775808 15318048000 15595687620 15892474800 16635400128 16951973120 17232804000 17328541800 17879034150 18381657600 18483777920 19070969760 19176919592 19494609525 19865593500 20342367744 20794250160 21189966400 21574034541 21660677250 22180533504 22885163712 22977072000 23104722400 23838712200 23971149490 24953100192 25427959680 25959744000 25992812700 26487458000 27572486400 27725666880 28606454640 28765379388 28880903000 29798390250 30513551616 30636096000 31191375240 31784949600 32491015875 33270800256 33903946240 34465608000 34657083600 35758068300 35956724235 36967555840 38141939520 38353839184 38989219050 39731187000 41588500320 42379932800 43148069082 43321354500 44361067008 44697585375 45770327424 45954144000 46209444800 47677424400 47942298980 49906200384 50855919360 51985625400 52974916000 55144972800 55451333760 57212909280 57530758776 57761806000 59596780500 59927873725 61027103232 62382750480 63569899200 64722103623 64982031750 66541600512 68931216000 69314167200 71516136600 71913448470 73935111680 76283879040 76707678368 77978438100 79462374000 83177000640 84759865600 86296138164 86642709000 89395170750 91540654848 91908288000 92418889600 95354848800 95884597960 97473047625 99812400768 101711838720 103971250800 105949832000 107870172705 110902667520 114425818560 115061517552 115523612000 119193561000 119855747450 124765500960 127139798400 129444207246 129964063500 133083201024 137862432000 138628334400 143032273200 143826896940 152567758080 153415356736 155956876200 158924748000 166354001280 169519731200 172592276328 173285418000 178790341500 179783621175 183081309696 184837779200 190709697600 191769195920 194946095250 199624801536 207942501600 211899664000 215740345410 221805335040 228851637120 230123035104 231047224000 238387122000 239711494900 249531001920 254279596800 258888414492 259928127000 275724864000 277256668800 286064546400 287653793880 299639368625 305135516160 306830713472 311913752400 317849496000 323610518115 332708002560 345184552656 346570836000 357580683000 359567242350 369675558400 381419395200 383538391840 389892190500 399249603072 415885003200 423799328000 431480690820 457703274240 460246070208 462094448000 476774244000 479422989800 499062003840 508559193600 517776828984 519856254000 539350863525 554513337600 572129092800 575307587760 599278737250 613661426944 623827504800 635698992000 647221036230 665416005120 690369105312 693141672000 715161366000 719134484700 762838790400 767076783680 779784381000 831770006400 847598656000 862961381640 898918105875 915406548480 920492140416 924188896000 953548488000 958845979600 998124007680 1035553657968 1039712508000 1078701727050 1109026675200 1144258185600 1150615175520 1198557474500 1227322853888 1247655009600 1271397984000 1294442072460 1380738210624 1386283344000 1430322732000 1438268969400 1525677580800 1534153567360 1559568762000 1618052590575 1663540012800 1725922763280 1797836211750 1840984280832 1848377792000 1907096976000 1917691959200 1996248015360 2071107315936 2079425016000 2157403454100 2288516371200 2301230351040 2397114949000 2495310019200 2542795968000 2588884144920 2696754317625 2761476421248 2772566688000 2860645464000 2876537938800 3068307134720 3119137524000 3236105181150 3327080025600 3451845526560 3595672423500 3681968561664 3814193952000 3835383918400 4142214631872 4158850032000 4314806908200 4577032742400 4602460702080 4794229898000 4990620038400 5177768289840 5393508635250 5522952842496 5545133376000 5721290928000 5753075877600 6136614269440 6238275048000 6472210362300 6903691053120 7191344847000 7628387904000 7670767836800 8090262952875 8284429263744 8317700064000 8629613816400 9204921404160 9588459796000 9981240076800 10355536579680 10787017270500 11045905684992 11442581856000 11506151755200 12476550096000 12944420724600 13807382106240 14382689694000 15341535673600 16180525905750 16568858527488 16635400128000 17259227632800 18409842808320 19176919592000 20711073159360 21574034541000 22885163712000 23012303510400 24953100192000 25888841449200 27614764212480 28765379388000 30683071347200 32361051811500 33137717054976 34518455265600 38353839184000 41422146318720 43148069082000 46024607020800 49906200384000 51777682898400 55229528424960 57530758776000 64722103623000 69036910531200 76707678368000 82844292637440 86296138164000 92049214041600 103555365796800 115061517552000 129444207246000 138073821062400 153415356736000 165688585274880 172592276328000 207110731593600 230123035104000 258888414492000 276147642124800 345184552656000 414221463187200 460246070208000 517776828984000 690369105312000 828442926374400 1035553657968000 1380738210624000 2071107315936000 4142214631872000
- Sum of all divisors σ(n): 15572050814960640
- Sum of proper divisors (its aliquot sum) s(n): 11429836183088640
- 4142214631872000 is an abundant number, because the sum of its proper divisors (11429836183088640) is greater than itself. Its abundance is 7287621551216640
Bases of 4142214631872000
- Binary: 11101011011101010010011111111011011101010110000000002
- Hexadecimal: 0xEB7527FB75600
- Base-36: 14SAJ4R05C0
Squares and roots of 4142214631872000
- 4142214631872000 squared (41422146318720002) is 17157942056494488478224384000000
- 4142214631872000 cubed (41422146318720003) is 71071878639223424218625162258773966848000000000
-
The
square root of 4142214631872000 is 64360039.0915978235 -
The
cube root of 4142214631872000 is 160599.5039326043
Scales and comparisons
How big is 4142214631872000?- 4,142,214,631,872,000 seconds is equal to 131,709,612 years, 30 weeks, 2 days.
-
To count from 1 to 4,142,214,631,872,000 would take you about three hundred ninety-five million, one hundred twenty-eight thousand, eight hundred thirty-seven 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 4142214631872000 cubic inches would be around 13383.3 feet tall.
Recreational maths with 4142214631872000
- 4142214631872000 backwards is 0002781364122414
- 4142214631872000 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 4142214631872000's digits is 45
- 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 4142214631872000 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
APA style:
Numbermatics. (2024). Number 4142214631872000 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/4142214631872000/
Chicago style:
Numbermatics. 2024. "Number 4142214631872000 - Facts about the integer". https://numbermatics.com/n/4142214631872000/
The information we have on file for 4142214631872000 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 4142214631872000, math, Factors of 4142214631872000, curriculum, school, college, exams, university, Prime factorization of 4142214631872000, STEM, science, technology, engineering, physics, economics, calculator, four quadrillion, one hundred forty-two trillion, two hundred fourteen billion, six hundred thirty-one million, eight hundred seventy-two thousand.