213438318643440
213,438,318,643,440 is an even composite number composed of six prime numbers multiplied together.
213438318643440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, eight hundred divisors.
Prime factorization of 213438318643440:
24 × 33 × 5 × 112 × 172 × 414
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 11 × 17 × 17 × 41 × 41 × 41 × 41)See below for interesting mathematical facts about the number 213438318643440 from the Numbermatics database.
Names of 213438318643440
- Cardinal: 213438318643440 can be written as Two hundred thirteen trillion, four hundred thirty-eight billion, three hundred eighteen million, six hundred forty-three thousand, four hundred forty.
Scientific notation
- Scientific notation: 2.1343831864344 × 1014
Factors of 213438318643440
Divisors of 213438318643440
- Number of divisors d(n): 1800
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20 22 24 27 30 33 34 36 40 41 44 45 48 51 54 55 60 66 68 72 80 82 85 88 90 99 102 108 110 120 121 123 132 135 136 144 153 164 165 170 176 180 187 198 204 205 216 220 240 242 246 255 264 270 272 289 297 306 328 330 340 360 363 369 374 396 408 410 432 440 451 459 484 492 495 510 528 540 561 578 594 605 612 615 656 660 680 697 720 726 738 748 765 792 816 820 867 880 902 918 935 968 984 990 1020 1080 1089 1107 1122 1156 1188 1210 1224 1230 1320 1353 1360 1394 1445 1452 1476 1485 1496 1530 1584 1640 1681 1683 1734 1804 1815 1836 1845 1870 1936 1968 1980 2040 2057 2091 2160 2178 2214 2244 2255 2295 2312 2376 2420 2448 2460 2601 2640 2706 2788 2805 2890 2904 2952 2970 2992 3060 3179 3267 3280 3362 3366 3468 3485 3608 3630 3672 3690 3740 3960 4059 4080 4114 4182 4335 4356 4428 4488 4510 4590 4624 4752 4840 4920 4961 5043 5049 5202 5412 5445 5535 5576 5610 5780 5808 5904 5940 6120 6171 6273 6358 6534 6724 6732 6765 6936 6970 7216 7260 7344 7380 7480 7667 7803 7920 8118 8228 8364 8405 8415 8670 8712 8856 8976 9020 9180 9537 9680 9840 9922 10086 10098 10285 10404 10455 10824 10890 11070 11152 11220 11560 11849 11880 12177 12240 12342 12546 12716 13005 13068 13448 13464 13530 13872 13940 14520 14760 14883 14960 15129 15334 15606 15895 16236 16335 16456 16728 16810 16830 17340 17424 17712 18040 18360 18491 18513 18819 19074 19844 20172 20196 20295 20570 20808 20910 21648 21780 22140 22440 23001 23120 23698 23760 24354 24684 24805 25092 25215 25245 25432 26010 26136 26896 26928 27060 27880 28577 28611 29040 29520 29766 30258 30668 30855 31212 31365 31790 32472 32670 32912 33456 33620 33660 34680 34969 35547 36080 36720 36982 37026 37638 38148 38335 39015 39688 40344 40392 40590 41140 41616 41820 43560 44280 44649 44880 45387 46002 47396 47685 48708 49368 49610 50184 50430 50490 50864 52020 52272 54120 55473 55539 55760 57154 57222 59245 59532 60516 60885 61336 61710 62424 62730 63580 64944 65340 67240 67320 68921 69003 69360 69938 71094 73964 74052 74415 75276 75645 76296 76670 78030 79376 80688 80784 81180 82280 83640 84337 85731 85833 87120 88560 89298 90774 92004 92455 92565 94095 94792 95370 97416 98736 99220 100368 100860 100980 104040 104907 106641 108240 110946 111078 114308 114444 115005 118490 119064 121032 121770 122672 123420 124848 125460 127160 130339 130680 133947 134480 134640 137842 138006 139876 142188 142885 143055 147928 148104 148830 150552 151290 152592 153340 156060 162360 164560 166419 167280 168674 171462 171666 174845 177735 178596 181548 184008 184910 185130 188190 189584 190740 194832 198440 201720 201960 203401 206763 207009 208080 209814 213282 221892 222156 223245 226935 228616 228888 230010 236980 238128 242064 243540 246840 250920 253011 254320 257193 260678 261360 267894 275684 276012 277365 277695 279752 284376 285770 286110 295856 296208 297660 301104 302580 306680 312120 314347 314721 319923 324720 332838 337348 342924 343332 344605 345015 349690 355470 357192 363096 368016 369820 370260 376380 381480 391017 396880 403440 403920 406802 413526 414018 419628 421685 426564 428655 429165 443784 444312 446490 453870 457232 457776 460020 473960 485809 487080 493680 499257 501840 506022 514386 521356 524535 533205 535788 551368 552024 554730 555390 559504 568752 571540 572220 595320 605160 610203 613360 620289 624240 628694 629442 639846 651695 665676 669735 674696 685848 686664 689210 690030 699380 710940 714384 726192 739640 740520 752760 758131 759033 762960 771579 782034 813604 827052 828036 832095 839256 843370 853128 857310 858330 887568 888624 892980 907740 920040 943041 944163 947920 971618 974160 998514 1012044 1017005 1028772 1033815 1035045 1042712 1049070 1066410 1071576 1102736 1104048 1109460 1110780 1143080 1144440 1171657 1173051 1190640 1210320 1220406 1240578 1257388 1258884 1265055 1279692 1285965 1303390 1331352 1339470 1349392 1371696 1373328 1378420 1380060 1398760 1421880 1433729 1457427 1479280 1481040 1505520 1516262 1518066 1543158 1564068 1571735 1573605 1599615 1627208 1654104 1656072 1664190 1678512 1686740 1706256 1714620 1716660 1785960 1815480 1830609 1840080 1860867 1886082 1888326 1943236 1955085 1997028 2024088 2034010 2057544 2067630 2070090 2085424 2098140 2132820 2143152 2218920 2221560 2274393 2277099 2286160 2288880 2343314 2346102 2429045 2440812 2481156 2496285 2514776 2517768 2530110 2559384 2571930 2606780 2662704 2678940 2756840 2760120 2797520 2825761 2829123 2843760 2867458 2914854 3032524 3036132 3051015 3086316 3101445 3128136 3143470 3147210 3199230 3254416 3308208 3312144 3328380 3373480 3429240 3433320 3457817 3514971 3519153 3571920 3630960 3661218 3721734 3772164 3776652 3790655 3795165 3857895 3886472 3910170 3994056 4048176 4068020 4115088 4135260 4140180 4196280 4265640 4301187 4372281 4437840 4443120 4548786 4554198 4686628 4692204 4715205 4720815 4858090 4881624 4962312 4992570 5029552 5035536 5060220 5118768 5143860 5213560 5343899 5357880 5491827 5513680 5520240 5651522 5658246 5734916 5829708 5858285 5865255 6065048 6072264 6102030 6172632 6202890 6256272 6286940 6294420 6398460 6656760 6746960 6823179 6858480 6866640 6915634 7029942 7038306 7168645 7287135 7322436 7443468 7544328 7553304 7581310 7590330 7715790 7772944 7820340 7988112 8136040 8270520 8280360 8339441 8392560 8477283 8487369 8531280 8602374 8744562 9097572 9108396 9153045 9304335 9373256 9384408 9430410 9441630 9716180 9763248 9924624 9985140 10120440 10287720 10373451 10427120 10544913 10687798 10715760 10983654 11303044 11316492 11371965 11385495 11469832 11659416 11716570 11730510 12130096 12144528 12204060 12345264 12405780 12573880 12588840 12796920 12888227 12903561 13116843 13313520 13646358 13831268 14059884 14076612 14128805 14145615 14337290 14574270 14644872 14886936 15088656 15106608 15162620 15180660 15431580 15640680 16031697 16272080 16541040 16560720 16678882 16954566 16974738 17204748 17289085 17489124 17574855 17595765 18195144 18216792 18306090 18608670 18746512 18768816 18860820 18883260 19432360 19918169 19970280 20240880 20469537 20575440 20746902 21089826 21375596 21505935 21861405 21967308 22606088 22632984 22743930 22770990 22939664 23318832 23433140 23461020 24408120 24811560 25018323 25147760 25177680 25431849 25593840 25776454 25807122 26233686 26719495 27292716 27459135 27662536 28119768 28153224 28257610 28291230 28674580 29148540 29289744 29773872 30325240 30361320 30863160 31083371 31120353 31281360 31634739 32063394 33357764 33909132 33949476 34115895 34409496 34578170 34978248 35149710 35191530 36390288 36433584 36612180 37217340 37721640 37766520 38664681 38710683 38864720 39836338 39940560 40939074 41493804 41697205 42179652 42386415 42436845 42751192 43011870 43722810 43934616 45212176 45265968 45487860 45541980 46866280 46922040 48037937 48095091 48816240 49623120 50036646 50863698 51552908 51614244 51867255 52467372 52724565 53438990 54585432 54918270 55325072 56239536 56306448 56515220 56582460 57349160 58297080 58782889 59754507 60650480 60722640 61726320 62166742 62240706 63269478 64126788 64441135 64517805 65584215 66715528 67818264 67898952 68231790 68818992 69156340 69956496 70299420 70383060 73224360 74434680 75054969 75443280 75533040 76295547 77329362 77421366 79672676 80158485 81878148 82987608 83394410 84359304 84772830 84873690 85502384 86023740 87445620 87869232 90975720 91083960 93250113 93361059 93732560 93844080 96075874 96190182 99590845 100073292 101727396 102347685 103105816 103228488 103734510 104934744 105449130 106877980 109170864 109836540 113030440 113164920 114698320 115994043 116594160 117565778 119509014 124333484 124481412 125091615 126538956 127159245 128253576 128882270 129035610 131168430 133431056 135636528 135797904 136463580 138312680 140598840 140766120 141770497 144113811 144285273 146448720 148869360 150109938 152591094 154658724 154842732 155416855 155601765 158173695 159345352 160316970 163756296 165975216 166788820 168718608 169545660 169747380 172047480 174891240 176348667 179263521 181951440 182167920 186500226 186722118 192151748 192380364 193323405 193553415 199181690 200146584 203454792 204695370 206211632 206456976 207469020 209869488 210898260 213755960 219099859 219673080 225164907 226060880 226329840 231988086 235131556 239018028 240189685 240475455 248666968 248962824 250183230 253077912 254318490 256507152 257764540 258071220 262336860 272927160 276625360 279750339 281197680 281532240 283540994 288227622 288570546 293914445 298772535 300219876 305182188 309317448 309685464 310833710 311203530 316347390 318690704 320633940 327512592 333577640 339091320 339494760 341917081 344094960 347982129 349782480 352697334 358527042 373000452 373444236 375274845 381477735 384303496 384760728 386646810 387106830 398363380 400293168 406909584 409390740 414938040 421796520 425311491 427511920 432341433 438199718 439346160 450329814 463976172 466250565 466805295 470263112 478036056 480379370 480950910 497333936 497925648 500366460 506155824 508636980 515529080 516142440 524673720 528417307 529046001 537790563 545854320 559500678 567081988 576455244 577141092 579970215 587828890 597545070 600439752 610364376 618634896 619370928 621667420 622407060 632694780 641267880 657299577 667155280 678182640 678989520 683834162 695964258 705394668 708852485 717054084 720569055 721426365 746000904 746888472 750549690 762955470 768606992 769521456 773293620 774213660 796726760 816644929 818781480 829876080 839251017 843593040 850622982 864682866 876399436 881743335 896317605 900659628 927952344 932501130 933610590 940526224 956072112 960758740 961901820 1000732920 1017273960 1025751243 1031058160 1032284880 1049347440 1056834614 1058092002 1075581126 1095499295 1119001356 1125824535 1134163976 1152910488 1154282184 1159940430 1175657780 1195090140 1200879504 1220728752 1243334840 1244814120 1265389560 1275934473 1282535760 1297024299 1314599154 1367668324 1391928516 1398751695 1410789336 1417704970 1434108168 1441138110 1442852730 1492001808 1493776944 1501099380 1525910940 1546587240 1548427320 1585251921 1587138003 1593453520 1633289858 1637562960 1678502034 1701245964 1709585405 1729365732 1739910645 1752798872 1763486670 1792635210 1801319256 1855904688 1865002260 1867221180 1921517480 1923803640 1971898731 2001465840 2034547920 2051502486 2113669228 2116184004 2126557455 2151162252 2161707165 2190998590 2238002712 2251649070 2268327952 2305820976 2308564368 2319880860 2351315560 2390180280 2410098449 2449934787 2486669680 2489628240 2530779120 2551868946 2594048598 2629198308 2642086535 2645230005 2688952815 2735336648 2783857032 2797503390 2821578672 2835409940 2868216336 2882276220 2885705460 3002198760 3051821880 3077253729 3093174480 3096854640 3170503842 3174276006 3266579716 3286497885 3357004068 3402491928 3419170810 3458731464 3479821290 3505597744 3526973340 3585270420 3602638512 3730004520 3734442360 3827803419 3843034960 3847607280 3943797462 4083224645 4103004972 4196255085 4227338456 4232368008 4253114910 4302324504 4323414330 4381997180 4476005424 4503298140 4639761720 4702631120 4755755763 4780360560 4820196898 4899869574 5103737892 5128756215 5188097196 5258396616 5284173070 5290460010 5377905630 5470673296 5567714064 5595006780 5670819880 5764552440 5771410920 5812590377 5915696193 6004397520 6103643760 6154507458 6341007684 6348552012 6379672365 6485121495 6533159432 6572995770 6714008136 6804983856 6838341620 6917462928 6959642580 7053946680 7170540840 7230295347 7349804361 7460009040 7468884720 7655606838 7887594924 7926259605 7935690015 8166449290 8206009944 8392510170 8454676912 8464736016 8506229820 8604649008 8646828660 8763994360 8983094219 9006596280 9231761187 9279523440 9511511526 9640393796 9799739148 9859493655 10207475784 10257512430 10376194392 10516793232 10568346140 10580920020 10755811260 11190013560 11341639760 11529104880 11542821840 11625180754 11831392386 12050492245 12249673935 12309014916 12682015368 12697104024 12759344730 12970242990 13066318864 13145991540 13428016272 13676683240 13919285160 14107893360 14267267289 14341081680 14460590694 14699608722 15311213676 15386268645 15775189848 15852519210 15871380030 16332898580 16412019888 16785020340 17012459640 17293657320 17437771131 17527988720 17966188438 18013192560 18463522374 19023023052 19139017095 19280787592 19599478296 19718987310 20414951568 20515024860 20752388784 21136692280 21161840040 21511622520 21690886041 22049413083 22380027120 23250361508 23662784772 23778778815 24100984490 24499347870 24618029832 25364030736 25394208048 25518689460 25940485980 26291983080 26949282657 27353366480 27838570320 28534534578 28921181388 29062951885 29399217444 29578480965 30622427352 30772537290 31550379696 31705038420 31742760060 32665797160 33570040680 34024919280 34587314640 34875542262 35932376876 36151476735 36749021805 36927044748 38046046104 38278034190 38561575184 39198956592 39437974620 41030049720 42273384560 42323680080 43023245040 43381772082 44098826166 44915471095 46158805935 46500723016 47325569544 47557557630 48201968980 48998695740 49236059664 51037378920 51880971960 52313313393 52583966160 53898565314 57069069156 57842362776 58125903770 58798434888 59156961930 61244854704 61545074580 63410076840 63485520120 65072658123 65331594320 67140081360 69751084524 71336336445 71864753752 72302953470 73498043610 73854089496 76092092208 76556068380 78875949240 80847847971 82060099440 86763544164 87188855655 88197652332 89830942190 92317611870 93001446032 94651139088 95115115260 96403937960 97997391480 98814036409 102074757840 103761943920 104626626786 107797130628 108454430205 110247065415 114138138312 115684725552 116251807540 117596869776 118313923860 123090149160 126820153680 126971040240 130145316246 134746413285 139502169048 142672672890 143729507504 144605906940 146996087220 147708178992 153112136760 156939940179 157751898480 161695695942 173527088328 174377711310 176395304664 179661884380 184635223740 190230230520 192807875920 195994782960 197628072818 209253253572 215594261256 216908860410 220494130830 228276276624 232503615080 236627847720 242543543913 246180298320 260290632492 261566566965 269492826570 279004338096 285345345780 289211813880 293992174440 296442109227 306224273520 313879880358 323391391884 325363290615 347054176656 348755422620 352790609328 359323768760 369270447480 380460461040 395256145636 404239239855 418506507144 431188522512 433817720820 440988261660 465007230160 473255695440 485087087826 494070182045 520581264984 523133133930 538985653140 570690691560 578423627760 587984348880 592884218454 627759760716 646782783768 650726581230 697510845240 718647537520 738540894960 784699700895 790512291272 808478479710 837013014288 867635441640 881976523320 889326327681 970174175652 988140364090 1041162529968 1046266267860 1077971306280 1141381383120 1185768436908 1212717719565 1255519521432 1293565567536 1301453162460 1395021690480 1482210546135 1569399401790 1581024582544 1616956959420 1735270883280 1763953046640 1778652655362 1940348351304 1976280728180 2092532535720 2155942612560 2371536873816 2425435439130 2511039042864 2602906324920 2667978983043 2964421092270 3138798803580 3233913918840 3557305310724 3880696702608 3952561456360 4185065071440 4446631638405 4743073747632 4850870878260 5205812649840 5335957966086 5928842184540 6277597607160 6467827837680 7114610621448 7905122912720 8893263276810 9701741756520 10671915932172 11857684369080 12555195214320 13339894915215 14229221242896 17786526553620 19403483513040 21343831864344 23715368738160 26679789830430 35573053107240 42687663728688 53359579660860 71146106214480 106719159321720 213438318643440
- Sum of all divisors σ(n): 879877557409200
- Sum of proper divisors (its aliquot sum) s(n): 666439238765760
- 213438318643440 is an abundant number, because the sum of its proper divisors (666439238765760) is greater than itself. Its abundance is 453000920122320
Bases of 213438318643440
- Binary: 1100001000011110111110110010101000001000111100002
- Hexadecimal: 0xC21EFB2A08F0
- Base-36: 23NO7K3TO0
Squares and roots of 213438318643440
- 213438318643440 squared (2134383186434402) is 45555915865338627081855033600
- 213438318643440 cubed (2134383186434403) is 9723378086559889569173872900966287619584000
-
The
square root of 213438318643440 is 14609528.3511631545 -
The
cube root of 213438318643440 is 59761.8633813981
Scales and comparisons
How big is 213438318643440?- 213,438,318,643,440 seconds is equal to 6,786,678 years, 16 weeks, 6 days, 5 hours, 24 minutes.
-
To count from 1 to 213,438,318,643,440 would take you about sixteen million, nine hundred sixty-six thousand, six hundred ninety-five 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 213438318643440 cubic inches would be around 4980.2 feet tall.
Recreational maths with 213438318643440
- 213438318643440 backwards is 044346813834312
- 213438318643440 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 213438318643440's digits is 54
- 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 213438318643440 - Facts about the integer". Numbermatics.com. 2024. Web. 11 June 2024.
APA style:
Numbermatics. (2024). Number 213438318643440 - Facts about the integer. Retrieved 11 June 2024, from https://numbermatics.com/n/213438318643440/
Chicago style:
Numbermatics. 2024. "Number 213438318643440 - Facts about the integer". https://numbermatics.com/n/213438318643440/
The information we have on file for 213438318643440 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 213438318643440, math, Factors of 213438318643440, curriculum, school, college, exams, university, Prime factorization of 213438318643440, STEM, science, technology, engineering, physics, economics, calculator, two hundred thirteen trillion, four hundred thirty-eight billion, three hundred eighteen million, six hundred forty-three thousand, four hundred forty.