213306609200400
213,306,609,200,400 is an even composite number composed of five prime numbers multiplied together.
213306609200400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred seventy-five divisors.
Prime factorization of 213306609200400:
24 × 34 × 52 × 412 × 19792
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 41 × 41 × 1979 × 1979)See below for interesting mathematical facts about the number 213306609200400 from the Numbermatics database.
Names of 213306609200400
- Cardinal: 213306609200400 can be written as Two hundred thirteen trillion, three hundred six billion, six hundred nine million, two hundred thousand, four hundred.
Scientific notation
- Scientific notation: 2.133066092004 × 1014
Factors of 213306609200400
Divisors of 213306609200400
- Number of divisors d(n): 675
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 41 45 48 50 54 60 72 75 80 81 82 90 100 108 120 123 135 144 150 162 164 180 200 205 216 225 240 246 270 300 324 328 360 369 400 405 410 432 450 492 540 600 615 648 656 675 720 738 810 820 900 984 1025 1080 1107 1200 1230 1296 1350 1476 1620 1640 1681 1800 1845 1968 1979 2025 2050 2160 2214 2460 2700 2952 3075 3240 3280 3321 3362 3600 3690 3958 4050 4100 4428 4920 5043 5400 5535 5904 5937 6150 6480 6642 6724 7380 7916 8100 8200 8405 8856 9225 9840 9895 10086 10800 11070 11874 12300 13284 13448 14760 15129 15832 16200 16400 16605 16810 17712 17811 18450 19790 20172 22140 23748 24600 25215 26568 26896 27675 29520 29685 30258 31664 32400 33210 33620 35622 36900 39580 40344 42025 44280 45387 47496 49200 49475 50430 53136 53433 55350 59370 60516 66420 67240 71244 73800 75645 79160 80688 81139 83025 84050 88560 89055 90774 94992 98950 100860 106866 110700 118740 121032 126075 132840 134480 136161 142488 147600 148425 151290 158320 160299 162278 166050 168100 178110 181548 197900 201720 213732 221400 226935 237480 242064 243417 252150 265680 267165 272322 284976 296850 302580 320598 324556 332100 336200 356220 363096 378225 395800 403440 405695 427464 442800 445275 453870 474960 486834 504300 534330 544644 593700 605160 641196 649112 664200 672400 680805 712440 726192 730251 756450 791600 801495 811390 854928 890550 907740 973668 1008600 1068660 1089288 1134675 1187400 1210320 1217085 1282392 1298224 1328400 1335825 1361610 1424880 1460502 1512900 1602990 1622780 1781100 1815480 1947336 2017200 2028475 2137320 2178576 2190753 2269350 2374800 2434170 2564784 2671650 2723220 2921004 3025800 3205980 3245560 3326699 3404025 3562200 3630960 3651255 3894672 3916441 4007475 4056950 4274640 4381506 4538700 4868340 5343300 5446440 5842008 6051600 6085425 6411960 6491120 6572259 6653398 6808050 7124400 7302510 7832882 8014950 8113900 8763012 9077400 9736680 9980097 10686600 10892880 10953765 11684016 11749323 12170850 12823920 13144518 13306796 13616100 14605020 15665764 16029900 16227800 16633495 17526024 18154800 18256275 19473360 19582205 19960194 21373200 21907530 23498646 24341700 26289036 26613592 27232200 29210040 29940291 31331528 32059800 32455600 32861295 33266990 35052048 35247969 36512550 39164410 39920388 43815060 46997292 48683400 49900485 52578072 53227184 54464400 54768825 58420080 58746615 59880582 62663056 64119600 65722590 66533980 70495938 73025100 78328820 79840776 83167475 87630120 89820873 93994584 97366800 97911025 99800970 105156144 105743907 109537650 117493230 119761164 131445180 133067960 140991876 146050200 149701455 156657640 159681552 160574081 164306475 166334950 175260240 176239845 179641746 187989168 195822050 199601940 211487814 219075300 234986460 239522328 249502425 262890360 266135920 269462619 281983752 292100400 293733075 299402910 313315280 317231721 321148162 328612950 332669900 352479690 359283492 391644100 399203880 422975628 438150600 449104365 469972920 479044656 481722243 499004850 525780720 528719535 538925238 563967504 587466150 598805820 634463442 642296324 657225900 665339800 704959380 718566984 748507275 783288200 798407760 802870405 845951256 876301200 881199225 898208730 939945840 963444486 998009700 1057439070 1077850476 1174932300 1197611640 1268926884 1284592648 1314451800 1330679600 1347313095 1409918760 1437133968 1445166729 1497014550 1566576400 1586158605 1605740810 1691902512 1762398450 1796417460 1926888972 1996019400 2114878140 2155700952 2245521825 2349864600 2395223280 2408611215 2537853768 2569185296 2628903600 2643597675 2694626190 2819837520 2890333458 2994029100 3172317210 3211481620 3524796900 3592834920 3853777944 3992038800 4014352025 4229756280 4311401904 4335500187 4491043650 4699729200 4817222430 5075707536 5287195350 5389252380 5780666916 5988058200 6344634420 6422963240 6583537321 6736565475 7049593800 7185669840 7225833645 7707555888 7930793025 8028704050 8459512560 8671000374 8982087300 9634444860 10574390700 10778504760 11561333832 11976116400 12043056075 12689268840 12845926480 13006500561 13167074642 13473130950 14099187600 14451667290 15861586050 16057408100 17342000748 17964174600 19268889720 19750611963 21148781400 21557009520 21677500935 23122667664 24086112150 25378537680 26013001122 26334149284 26946261900 28903334580 31723172100 32114816200 32917686605 34684001496 35928349200 36129168225 38537779440 39501223926 42297562800 43355001870 48172224300 52026002244 52668298568 53892523800 57806669160 59251835889 63446344200 64229632400 65032502805 65835373210 69368002992 72258336450 79002447852 86710003740 96344448600 98753059815 104052004488 105336597136 107785047600 108387504675 115613338320 118503671778 126892688400 130065005610 131670746420 144516672900 158004895704 164588433025 173420007480 177755507667 192688897200 197506119630 208104008976 216775009350 237007343556 260130011220 263341492840 289033345800 296259179445 316009791408 325162514025 329176866050 346840014960 355511015334 395012239260 433550018700 474014687112 493765299075 520260022440 526682985680 533266523001 578066691600 592518358890 650325028050 658353732100 711022030668 790024478520 867100037400 888777538335 948029374224 987530598150 1040520044880 1066533046002 1185036717780 1300650056100 1316707464200 1422044061336 1481295897225 1580048957040 1734200074800 1777555076670 1975061196300 2133066092004 2370073435560 2601300112200 2633414928400 2666332615005 2844088122672 2962591794450 3555110153340 3950122392600 4266132184008 4443887691675 4740146871120 5202600224400 5332665230010 5925183588900 7110220306680 7900244785200 8532264368016 8887775383350 10665330460020 11850367177800 13331663075025 14220440613360 17775550766700 21330660920040 23700734355600 26663326150050 35551101533400 42661321840080 53326652300100 71102203066800 106653304600200 213306609200400
- Sum of all divisors σ(n): 785064122894623
- Sum of proper divisors (its aliquot sum) s(n): 571757513694223
- 213306609200400 is an abundant number, because the sum of its proper divisors (571757513694223) is greater than itself. Its abundance is 358450904493823
Bases of 213306609200400
- Binary: 1100001000000000010100001010101101101101000100002
- Hexadecimal: 0xC20050AB6D10
- Base-36: 23LZPBPD00
Squares and roots of 213306609200400
- 213306609200400 squared (2133066092004002) is 45499709528572169927360160000
- 213306609200400 cubed (2133066092004003) is 9705388759142859968502834904740416064000000
-
213306609200400 is a
perfect square number . Itssquare root is 14605020 -
The
cube root of 213306609200400 is 59749.5681487341
Scales and comparisons
How big is 213306609200400?- 213,306,609,200,400 seconds is equal to 6,782,490 years, 19 weeks, 2 days, 9 hours.
-
To count from 1 to 213,306,609,200,400 would take you about sixteen million, nine hundred fifty-six thousand, two hundred twenty-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 213306609200400 cubic inches would be around 4979.1 feet tall.
Recreational maths with 213306609200400
- 213306609200400 backwards is 004002906603312
- 213306609200400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 213306609200400's digits is 36
- More coming soon!
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