21071767041340400
21,071,767,041,340,400 is an even composite number composed of seven prime numbers multiplied together.
21071767041340400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 21071767041340400:
24 × 52 × 7 × 112 × 312 × 612 × 17393
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 11 × 31 × 31 × 61 × 61 × 17393)See below for interesting mathematical facts about the number 21071767041340400 from the Numbermatics database.
Names of 21071767041340400
- Cardinal: 21071767041340400 can be written as Twenty-one quadrillion, seventy-one trillion, seven hundred sixty-seven billion, forty-one million, three hundred forty thousand, four hundred.
Scientific notation
- Scientific notation: 2.10717670413404 × 1016
Factors of 21071767041340400
Divisors of 21071767041340400
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 31 35 40 44 50 55 56 61 62 70 77 80 88 100 110 112 121 122 124 140 154 155 175 176 200 217 220 242 244 248 275 280 305 308 310 341 350 385 400 427 434 440 484 488 496 550 560 605 610 616 620 671 682 700 770 775 847 854 868 880 961 968 976 1085 1100 1210 1220 1232 1240 1342 1364 1400 1525 1540 1550 1694 1705 1708 1736 1891 1922 1925 1936 2135 2170 2200 2387 2420 2440 2480 2684 2728 2800 3025 3050 3080 3100 3355 3388 3410 3416 3472 3721 3751 3782 3844 3850 4235 4270 4340 4400 4697 4774 4805 4840 4880 5368 5425 5456 6050 6100 6160 6200 6710 6727 6776 6820 6832 7381 7442 7502 7564 7688 7700 8470 8525 8540 8680 9394 9455 9548 9610 9680 10571 10675 10736 10850 11935 12100 12200 12400 13237 13420 13454 13552 13640 14762 14884 15004 15128 15376 15400 16775 16940 17050 17080 17360 17393 18605 18755 18788 18910 19096 19220 20801 21142 21175 21350 21700 23485 23870 24025 24200 24400 26047 26257 26474 26840 26908 27280 29524 29768 30008 30256 30800 33550 33635 33880 34100 34160 34786 36905 37210 37510 37576 37820 38192 38440 40931 41602 42284 42350 42700 43400 46970 47275 47740 48050 48400 51667 52094 52514 52855 52948 53680 53816 58621 59048 59536 59675 60016 66185 67100 67270 67760 68200 69572 73810 73997 74420 75020 75152 75640 76880 81862 83204 84568 84700 85400 86800 86965 93025 93775 93940 94550 95480 96100 103334 104005 104188 105028 105710 105896 107632 115351 116281 117242 117425 118096 119350 121751 130235 131285 132370 134200 134540 136400 139144 145607 147620 147994 148840 150040 151280 163724 166408 168175 169136 169400 170800 173930 184525 186050 187550 187880 189100 190960 191323 192200 204655 206668 208010 208376 210056 211420 211792 228811 230702 232562 234484 234850 238700 243502 258335 260470 262570 264275 264740 268400 269080 278288 286517 291214 293105 295240 295988 297680 300080 327448 330925 332816 336350 338800 347860 369050 369985 372100 375100 375760 378200 382646 384400 409310 410347 413336 416020 416752 420112 422840 434825 450241 457622 461404 465124 468968 469700 477400 487004 516670 520025 520940 525140 528550 529480 538160 539183 573034 576755 581405 582428 586210 590480 591976 608755 644831 651175 654896 656425 661850 672700 695720 728035 738100 739970 744200 750200 756400 765292 807457 813967 818620 820694 826672 832040 845680 869650 900482 915244 922808 930248 937936 939400 954800 956615 974008 1023275 1033340 1040050 1041880 1050280 1057100 1058960 1060973 1078366 1144055 1146068 1153510 1162810 1164856 1172420 1183952 1217510 1268861 1289662 1291675 1302350 1312850 1323700 1339261 1345400 1391440 1432585 1456070 1465525 1476200 1479940 1488400 1500400 1530584 1601677 1614914 1627934 1637240 1641388 1664080 1739300 1800964 1830488 1845616 1849925 1860496 1878800 1913230 1948016 2046550 2051735 2066680 2080100 2083760 2100560 2104553 2114200 2121946 2156732 2251205 2288110 2292136 2307020 2325620 2329712 2344840 2435020 2537722 2579324 2583350 2604700 2625700 2647400 2678522 2690800 2695915 2865170 2883775 2907025 2912140 2931050 2952400 2959880 3043775 3061168 3151687 3203354 3224155 3229828 3255868 3274480 3282776 3478600 3575881 3601928 3640175 3660976 3699850 3774281 3826460 4037285 4069835 4093100 4103470 4133360 4160200 4209106 4228400 4243892 4313464 4502410 4513817 4576220 4584272 4614040 4651240 4689680 4783075 4870040 5075444 5158648 5166700 5209400 5251400 5294800 5304865 5357044 5391830 5720275 5730340 5767550 5814050 5824280 5862100 5919760 5931013 6087550 6303374 6344305 6406708 6448310 6459656 6511736 6565552 6696305 6957200 7093141 7151762 7162925 7203856 7280350 7399700 7426811 7548562 7652920 8008385 8074570 8139670 8186200 8206940 8320400 8418212 8487784 8626928 8882027 9004820 9027634 9152440 9228080 9302480 9566150 9740080 10150888 10258675 10317296 10333400 10418800 10502800 10522765 10609730 10714088 10783660 11256025 11440550 11460680 11535100 11628100 11648560 11670703 11724200 11862026 12175100 12606748 12688610 12813416 12896620 12919312 13023472 13392610 13479575 13957471 14186282 14303524 14325850 14560700 14731871 14799400 14853622 15097124 15305840 15758435 16016770 16120775 16149140 16279340 16372400 16413880 16714673 16836424 16975568 17764054 17879405 18009640 18055268 18304880 18871405 19132300 20186425 20301776 20349175 20517350 20666800 21045530 21219460 21428176 21567320 22512050 22569085 22881100 22921360 23070200 23256200 23341406 23448400 23724052 24350200 25031167 25213496 25377220 25626832 25793240 26524325 26785220 26959150 27914942 28372564 28607048 28651700 29121400 29463742 29598800 29655065 29707244 30194248 31516870 31721525 32033540 32241550 32298280 32558680 32827760 32890163 33429346 33481525 33672848 35465705 35528108 35758810 36019280 36110536 37134055 37742810 38264600 39334691 40041925 40372850 40698350 41034700 41517091 42091060 42438920 43134640 44410135 45024100 45138170 45762200 46140400 46512400 46682812 47448104 48700400 49651987 50062334 50426992 50754440 51586480 52613825 53048650 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652411430 653559368 657803260 664273456 668586920 697873550 709314100 710562160 711912883 715176200 723583586 735445612 736593550 742681100 754856200 781618376 786693820 794431792 816949210 822254075 830341820 835733650 841821200 865363202 888202700 898644131 902763400 906070942 913376002 919307015 920924564 933656240 936021688 977022970 983367275 993039740 1001246680 1019595053 1027021864 1035509648 1037927275 1043858288 1101371348 1116597680 1151155705 1167070300 1170027110 1178549680 1186202600 1241299675 1251558350 1260674800 1283777330 1287029821 1294387060 1304822860 1307118736 1315606520 1337173840 1376714185 1395747100 1418628200 1423825766 1430352400 1447167172 1470891224 1473187100 1485362200 1509712400 1563236752 1573387640 1617983825 1631028575 1633898420 1644508150 1660683640 1671467300 1730726404 1776405400 1797288262 1805526800 1808958965 1812141884 1826752004 1838614030 1841849128 1872043376 1954045940 1966734550 1986079480 2002493360 2006299943 2022475433 2039190106 2042373025 2054043728 2075854550 2163408005 2202742696 2265177355 2283440005 2302311410 2334140600 2340054220 2372405200 2442557425 2482599350 2503116700 2532542551 2567554660 2574059642 2588774120 2609645720 2631213040 2753428370 2791494200 2837256400 2847651532 2894334344 2925067775 2941782448 2946374200 2970724400 3028771207 3146775280 3209443325 3235967650 3262057150 3267796840 3289016300 3321367280 3342934600 3461452808 3552810800 3559564415 3594576524 3617917930 3624283768 3653504008 3677228060 3683698256 3908091880 3933469100 3972158960 3979709723 4012599886 4044950866 4078380212 4084746050 4151709100 4326816010 4405485392 4493220655 4530354710 4566880010 4596535075 4604622820 4668281200 4680108440 4885114850 4965198700 4983390181 5006233400 5065085102 5097975265 5135109320 5148119284 5177548240 5219291440 5506856740 5582988400 5695303064 5755778525 5788668688 5850135550 5892748400 6057542414 6418886650 6435149105 6471935300 6524114300 6535593680 6578032600 6685869200 6883570925 6922905616 7119128830 7137165371 7189153048 7235835860 7248567536 7307008016 7354456120 7816183760 7831041713 7866938200 7959419446 8025199772 8089901732 8156760424 8169492100 8303418200 8653632020 8986441310 9044794825 9060709420 9133760020 9193070150 9209245640 9360216880 9770229700 9930397400 9966780362 10012466800 10031499715 10112377165 10130170204 10195950530 10270218640 10296238568 10817040025 11013713480 11215545583 11325886775 11390606128 11417200025 11511557050 11700271100 12115084828 12662712755 12837773300 12870298210 12943870600 13048228600 13156065200 13767141850 14044099601 14157328031 14238257660 14274330742 14378306096 14471671720 14708912240 15143856035 15662083426 15733876400 15918838892 16050399544 16179803464 16313520848 16338984200 16606836400 17307264040 17797822075 17972882620 18089589650 18121418840 18267520040 18386140300 18418491280 19540459400 19860794800 19898548615 19933560724 20062999430 20224754330 20260340408 20391901060 20592477136 21634080050 22027426960 22069299373 22431091166 22466103275 22651773550 22834400050 23023114100 23400542200 24230169656 24916950905 25325425510 25489876325 25675546600 25740596420 25887741200 26096457200 27534283700 27857968061 28088199202 28314656062 28476515320 28548661484 28943343440 30287712070 31324166852 31837677784 32100799088 32175745525 32359606928 32677968400 34614528080 35595644150 35685826855 35945765240 36179179300 36242837680 36535040080 36772280600 39080918800 39155208565 39797097230 39867121448 40125998860 40449508660 40520680816 40783802120 43268160100 44138598746 44862182332 44932206550 45303547100 45668800100 46046228200 46801084400 48460339312 49833901810 50157498575 50561885825 50650851020 50979752650 51351093200 51481192840 54817291991 55068567400 55715936122 56077727915 56176398404 56629312124 56953030640 57097322968 60575424140 62195298233 62648333704 63313563775 63675355568 64351491050 70220498005 70786640155 71191288300 71371653710 71891530480 72358358600 73544561200 75719280175 78310417130 78508819081 79594194460 79734242896 80251997720 80899017320 81567604240 86536320200 88277197492 89724364664 89864413100 90607094200 91337600200 92092456400 99492743075 99667803620 100314997150 101123771650 101301702040 101959505300 102962385680 109634583982 110137134800 110346496865 111431872244 112155455830 112352796808 113258624248 114194645936 121150848280 123371001413 124390596466 124584754525 125296667408 126627127550 128702982100 139289840305 140440996010 141573280310 142382576600 142743307420 144716717200 151438560350 154485095611 156620834260 157017638162 159188388920 160503995440 161798034640 173072640400 176554394984 178429134275 179448729328 179728826200 181214188400 182675200400 195776042825 198985486150 199335607240 200629994300 202247543300 202603404080 203919010600 219269167964 220692993730 222863744488 224310911660 224705593616 226517248496 242301696560 242762293103 246742002826 248781192932 249169509050 253254255100 257405964200 274086459955 278579680610 280388639575 280881992020 283146560620 284765153200 285486614840 302877120700 308970191222 310976491165 313241668520 314035276324 318376777840 351102490025 353108789968 353933200775 356858268550 359457652400 391552085650 392544095405 397970972300 398671214480 401259988600 404495086600 407838021200 435367087631 438538335928 441385987460 445727488976 448621823320 485524586206 493484005652 497562385864 498339018100 506508510200 514811928400 548172919910 551732484325 557159361220 560777279150 561763984040 566293121240 570973229680 605754241400 616855007065 617940382444 621952982330 626483337040 628070552648 684148280563 696449201525 702204980050 707866401550 713716537100 772425478055 783104171300 785088190810 795941944600 802519977200 808990173200 863597009891 870734175262 877076671856 882771974920 897243646640 971049172412 986968011304 995124771728 996678036200 1013017020400 1096345839820 1103464968650 1114318722440 1121554558300 1123527968080 1132586242480 1211508482800 1213811465515 1233710014130 1235880764888 1243905964660 1256141105296 1368296561126 1370432299775 1392898403050 1404409960100 1415732803100 1427433074200 1544850956110 1554882455825 1566208342600 1570176381620 1591883889200 1699336051721 1727194019782 1741468350524 1765543949840 1942098344824 1962720477025 1973936022608 1993356072400 2176835438155 2192691679640 2206929937300 2228637444880 2243109116600 2427622931030 2467420028260 2471761529776 2487811929320 2736593122252 2740864599550 2785796806100 2808819920200 2831465606200 2854866148400 3084275035325 3089701912220 3109764911650 3132416685200 3140352763240 3398672103442 3420741402815 3454388039564 3482936701048 3862127390275 3884196689648 3925440954050 4317985049455 4353670876310 4385383359280 4413859874600 4486218233200 4789037963941 4855245862060 4934840056520 4975623858640 5473186244504 5481729199100 5571593612200 5617639840400 5662931212400 6069057327575 6168550070650 6179403824440 6219529823300 6280705526480 6797344206884 6841482805630 6908776079128 6965873402096 7525631086193 7724254780550 7850881908100 8496680258605 8635970098910 8707341752620 8827719749200 9578075927882 9710491724120 9869680113040 10884177190775 10946372489008 10963458398200 11143187224400 12138114655150 12337100141300 12358807648880 12439059646600 13594688413768 13682965611260 13817552158256 15051262172386 15448509561100 15701763816200 16993360517210 17103707014075 17271940197820 17414683505240 19156151855764 19420983448240 21589925247275 21768354381550 21926916796400 23945189819705 24276229310300 24674200282600 24878119293200 27189376827536 27365931222520 30102524344772 30897019122200 31403527632400 33986721034420 34207414028150 34543880395640 34829367010480 37628155430965 38312303711528 42483401293025 43179850494550 43536708763100 47890379639410 48552458620600 49348400565200 52679417603351 54731862445040 60205048689544 61794038244400 67973442068840 68414828056300 69087760791280 75256310861930 76624607423056 84966802586050 86359700989100 87073417526200 95780759278820 97104917241200 105358835206702 119725949098525 120410097379088 135946884137680 136829656112600 150512621723860 169933605172100 172719401978200 174146835052400 188140777154825 191561518557640 210717670413404 239451898197050 263397088016755 273659312225200 301025243447720 339867210344200 345438803956400 376281554309650 383123037115280 421435340826808 478903796394100 526794176033510 602050486895440 679734420688400 752563108619300 842870681653616 957807592788200 1053588352067020 1316985440083775 1505126217238600 1915615185576400 2107176704134040 2633970880167550 3010252434477200 4214353408268080 5267941760335100 10535883520670200 21071767041340400
- Sum of all divisors σ(n): 66811322908000944
- Sum of proper divisors (its aliquot sum) s(n): 45739555866660544
- 21071767041340400 is an abundant number, because the sum of its proper divisors (45739555866660544) is greater than itself. Its abundance is 24667788825320144
Bases of 21071767041340400
- Binary: 10010101101110010101001000101010100100111110011111100002
- Hexadecimal: 0x4ADCA91549F3F0
- Base-36: 5RHBG53IF3K
Squares and roots of 21071767041340400
- 21071767041340400 squared (210717670413404002) is 444019366244519554682628672160000
- 21071767041340400 cubed (210717670413404003) is 9356272647348119291511046525676649078563264000000
-
The
square root of 21071767041340400 is 145161176.0814178579 -
The
cube root of 21071767041340400 is 276206.3457322769
Scales and comparisons
How big is 21071767041340400?- 21,071,767,041,340,400 seconds is equal to 670,017,012 years, 34 weeks, 2 days, 2 hours, 33 minutes, 20 seconds.
-
To count from 1 to 21,071,767,041,340,400 would take you about two billion, ten million, fifty-one thousand and 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 21071767041340400 cubic inches would be around 23017.2 feet tall.
Recreational maths with 21071767041340400
- 21071767041340400 backwards is 00404314076717012
- The number of decimal digits it has is: 17
- The sum of 21071767041340400's digits is 47
- More coming soon!
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"Number 21071767041340400 - Facts about the integer". Numbermatics.com. 2024. Web. 10 June 2024.
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Numbermatics. (2024). Number 21071767041340400 - Facts about the integer. Retrieved 10 June 2024, from https://numbermatics.com/n/21071767041340400/
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The information we have on file for 21071767041340400 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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