213727807687680
213,727,807,687,680 is an even composite number composed of seven prime numbers multiplied together.
213727807687680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 213727807687680:
210 × 32 × 5 × 113 × 13 × 31 × 8647
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 11 × 11 × 13 × 31 × 8647)See below for interesting mathematical facts about the number 213727807687680 from the Numbermatics database.
Names of 213727807687680
- Cardinal: 213727807687680 can be written as Two hundred thirteen trillion, seven hundred twenty-seven billion, eight hundred seven million, six hundred eighty-seven thousand, six hundred eighty.
Scientific notation
- Scientific notation: 2.1372780768768 × 1014
Factors of 213727807687680
Divisors of 213727807687680
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 30 31 32 33 36 39 40 44 45 48 52 55 60 62 64 65 66 72 78 80 88 90 93 96 99 104 110 117 120 121 124 128 130 132 143 144 155 156 160 165 176 180 186 192 195 198 208 220 234 240 242 248 256 260 264 279 286 288 310 312 320 330 341 352 360 363 372 384 390 396 403 416 429 440 465 468 480 484 495 496 512 520 528 558 572 576 585 605 620 624 640 660 682 704 715 720 726 744 768 780 792 806 832 858 880 930 936 960 968 990 992 1023 1024 1040 1056 1089 1116 1144 1152 1170 1209 1210 1240 1248 1280 1287 1320 1331 1364 1395 1408 1430 1440 1452 1488 1536 1560 1573 1584 1612 1664 1705 1716 1760 1815 1860 1872 1920 1936 1980 1984 2015 2046 2080 2112 2145 2178 2232 2288 2304 2340 2418 2420 2480 2496 2560 2574 2640 2662 2728 2790 2816 2860 2880 2904 2976 3069 3072 3120 3146 3168 3224 3328 3410 3432 3520 3627 3630 3720 3744 3751 3840 3872 3960 3968 3993 4030 4092 4160 4224 4290 4356 4433 4464 4576 4608 4680 4719 4836 4840 4960 4992 5115 5120 5148 5280 5324 5445 5456 5580 5632 5720 5760 5808 5952 6045 6138 6240 6292 6336 6435 6448 6655 6656 6820 6864 7040 7254 7260 7440 7488 7502 7680 7744 7865 7920 7936 7986 8060 8184 8320 8448 8580 8647 8712 8866 8928 9152 9216 9360 9438 9672 9680 9920 9984 10230 10296 10560 10648 10890 10912 11160 11253 11264 11440 11520 11616 11904 11979 12090 12276 12480 12584 12672 12870 12896 13299 13310 13312 13640 13728 14080 14157 14508 14520 14880 14976 15004 15345 15360 15488 15730 15840 15872 15972 16120 16368 16640 16896 17160 17294 17303 17424 17732 17856 18135 18304 18720 18755 18876 19344 19360 19840 19965 19968 20460 20592 21120 21296 21780 21824 22165 22320 22506 22880 23040 23232 23595 23808 23958 24180 24552 24960 25168 25344 25740 25792 25941 26598 26620 27280 27456 28160 28314 29016 29040 29760 29952 30008 30690 30976 31460 31680 31744 31944 32240 32736 33280 33759 33792 34320 34588 34606 34848 35464 35712 36270 36608 37440 37510 37752 38688 38720 39680 39897 39930 39936 40920 41184 41261 42240 42592 43235 43560 43648 44330 44640 45012 45760 46080 46464 47190 47616 47916 48360 48763 49104 49920 50336 50688 51480 51584 51882 51909 53196 53240 54560 54912 56265 56320 56628 58032 58080 59520 59895 59904 60016 61380 61952 62920 63360 63888 64480 65472 66495 66560 67518 68640 69176 69212 69696 70785 70928 71424 72540 73216 74880 75020 75504 77376 77440 77823 79360 79794 79860 81840 82368 82522 84480 85184 86470 86515 87120 87296 88660 89280 90024 91520 92928 94380 95117 95232 95832 96720 97526 98208 99840 100672 101376 102960 103168 103764 103818 106392 106480 109120 109824 112411 112530 113256 116064 116160 119040 119790 119808 120032 122760 123783 123904 125840 126720 127776 128960 129705 130944 132990 135036 137280 138352 138424 139392 141570 141856 142848 145080 146289 146432 149760 150040 151008 154752 154880 155646 155727 158720 159588 159720 163680 164736 165044 168795 168960 170368 172940 173030 174240 174592 177320 178560 180048 183040 185856 188760 190234 191664 193440 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720192 731445 732160 742698 755040 760936 766656 773760 778230 778635 780208 785664 797940 804171 805376 823680 825220 830112 830544 851136 851840 856053 872960 877734 899288 900240 906048 928512 929280 951170 958320 960256 975260 982080 990264 1006720 1011699 1022208 1031680 1037640 1038180 1046287 1047552 1063920 1072228 1072786 1080288 1098240 1106816 1107392 1115136 1124110 1132560 1134848 1141404 1160640 1170312 1200320 1208064 1236521 1237830 1238016 1245168 1245816 1276704 1277760 1309440 1317888 1320352 1340285 1348932 1350360 1362944 1383520 1384240 1393920 1418560 1426755 1428480 1440384 1462890 1485396 1510080 1521872 1533312 1547520 1556460 1557270 1560416 1571328 1595880 1608342 1609179 1610752 1647360 1650440 1660224 1661088 1686165 1702272 1703680 1712106 1745920 1755468 1798576 1800480 1812096 1856745 1857024 1858560 1902340 1916640 1920512 1950520 1964160 1980528 2013440 2023398 2044416 2063360 2075280 2076360 2092574 2127840 2144456 2145572 2160576 2194335 2196480 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4216536610 4246022880 4281406404 4352553920 4382991360 4419516288 4460468480 4488571230 4529091072 4599858120 4638190271 4670625168 4748240640 4787809312 4821290496 4896623160 4906515328 4943397888 5018027040 5059843932 5179898880 5189583520 5223064704 5351758005 5352562176 5356989440 5386285476 5519829744 5524395360 5661363840 5697888768 5708541872 5838281460 5892688384 5984761640 6026613120 6133144160 6176033280 6179247360 6227500224 6324804915 6330987520 6422109606 6528830880 6629274432 6690702720 6732856845 6746458576 6793636608 6899787180 6964086272 7122360960 7135677340 7181713968 7359772992 7365860480 7548485120 7589765898 7784375280 7834597056 8028843264 8035484160 8238996480 8286593040 8303333632 8433073220 8492045760 8562812808 8705107840 8839032576 8920936960 8977142460 9058182144 9199716240 9276380542 9341250336 9496481280 9575618624 9642580992 9793246320 9813030656 10036054080 10119687864 10379167040 10446129408 10703516010 10705124352 10772570952 11039659488 11048790720 11322727680 11395777536 11417083744 11676562920 11785376768 11969523280 12053226240 12266288320 12352066560 12358494720 12455000448 12649609830 12844219212 13057661760 13258548864 13381405440 13465713690 13492917152 13587273216 13799574360 13914570813 13928172544 14244721920 14271354680 14363427936 14719545984 14731720960 15096970240 15179531796 15568750560 15669194112 16055274015 16057686528 16070968320 16573186080 16606667264 16866146440 16984091520 17125625616 17410215680 17678065152 17841873920 17954284920 18399432480 18552761084 18682500672 18974414745 18992962560 19151237248 19586492640 19626061312 20072108160 20239375728 20758334080 20892258816 21407032020 21545141904 22079318976 22097581440 22645455360 22834167488 23190951355 23353125840 23939046560 24106452480 24532576640 24716989440 24910000896 25299219660 25688438424 26115323520 26517097728 26762810880 26931427380 26985834304 27174546432 27599148720 27829141626 28489443840 28542709360 28726855872 29439091968 29463441920 30359063592 31137501120 31338388224 32110548030 32115373056 33146372160 33213334528 33732292880 33968183040 34251251232 34820431360 35356130304 35908569840 36798864960 37105522168 37365001344 37948829490 38302474496 39172985280 39252122624 40144216320 40478751456 41516668160 41743712439 41784517632 42814064040 43090283808 44158637952 44195162880 45290910720 45668334976 46381902710 46706251680 47878093120 48212904960 49065153280 49820001792 50598439320 51376876848 52230647040 53034195456 53525621760 53862854760 53971668608 55198297440 55658283252 56978887680 57085418720 57453711744 58878183936 58926883840 60718127184 62275002240 62676776448 64221096060 66292744320 67464585760 67936366080 68502502464 69572854065 69640862720 71817139680 73597729920 74211044336 74730002688 75897658980 76604948992 78345970560 80288432640 80957502912 83033336320 83487424878 85628128080 86180567616 88317275904 88390325760 91336669952 92763805420 93412503360 95756186240 98130306560 99640003584 101196878640 102753753696 104461294080 106068390912 107725709520 107943337216 110396594880 111316566504 114170837440 114907423488 117756367872 121436254368 124550004480 125353552896 128442192120 132585488640 134929171520 135872732160 137005004928 139145708130 143634279360 147195459840 148422088672 149460005376 151795317960 153209897984 156691941120 160576865280 161915005824 166066672640 166974849756 171256256160 172361135232 176634551808 176780651520 182673339904 185527610840 186825006720 191512372480 196260613120 202393757280 205507507392 208718562195 208922588160 215451419040 215886674432 220793189760 222633133008 228341674880 229814846976 242872508736 249100008960 256884384240 265170977280 269858343040 274010009856 278291416260 287268558720 294390919680 296844177344 298920010752 303590635920 313383882240 323830011648 333949699512 342512512320 344722270464 353269103616 365346679808 371055221680 373650013440 383024744960 404787514560 411015014784 417437124390 430902838080 431773348864 441586379520 445266266016 456683349760 459629693952 485745017472 498200017920 513768768480 530341954560 539716686080 548020019712 556582832520 574537117440 588781839360 593688354688 607181271840 626767764480 647660023296 667899399024 685025024640 689444540928 742110443360 747300026880 766049489920 809575029120 822030029568 834874248780 861805676160 883172759040 890532532032 913366699520 971490034944 1027537536960 1079433372160 1096040039424 1113165665040 1149074234880 1187376709376 1214362543680 1295320046592 1335798798048 1370050049280 1378889081856 1484220886720 1494600053760 1619150058240 1644060059136 1669748497560 1723611352320 1766345518080 1781065064064 1826733399040 1942980069888 2055075073920 2158866744320 2226331330080 2298148469760 2374753418752 2428725087360 2671597596096 2740100098560 2968441773440 3238300116480 3288120118272 3339496995120 3447222704640 3562130128128 3885960139776 4110150147840 4452662660160 4749506837504 4857450174720 5343195192192 5480200197120 5936883546880 6476600232960 6678993990240 6894445409280 7124260256256 8220300295680 8905325320320 9714900349440 10686390384384 11873767093760 13357987980480 14248520512512 16440600591360 17810650640640 19429800698880 21372780768768 23747534187520 26715975960960 35621301281280 42745561537536 53431951921920 71242602562560 106863903843840 213727807687680
- Sum of all divisors σ(n): 905622527287296
- Sum of proper divisors (its aliquot sum) s(n): 691894719599616
- 213727807687680 is an abundant number, because the sum of its proper divisors (691894719599616) is greater than itself. Its abundance is 478166911911936
Bases of 213727807687680
- Binary: 1100001001100010011000100000111001001100000000002
- Hexadecimal: 0xC262620E4C00
- Base-36: 23RD76EPS0
Squares and roots of 213727807687680
- 213727807687680 squared (2137278076876802) is 45679575778981926108423782400
- 213727807687680 cubed (2137278076876803) is 9762995587345054431479750185238063480832000
-
The
square root of 213727807687680 is 14619432.5364454553 -
The
cube root of 213727807687680 is 59788.8697613923
Scales and comparisons
How big is 213727807687680?- 213,727,807,687,680 seconds is equal to 6,795,883 years, 9 weeks, 2 days, 20 hours, 48 minutes.
-
To count from 1 to 213,727,807,687,680 would take you about sixteen million, nine hundred eighty-nine thousand, seven hundred 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 213727807687680 cubic inches would be around 4982.4 feet tall.
Recreational maths with 213727807687680
- 213727807687680 backwards is 086786708727312
- 213727807687680 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 213727807687680's digits is 72
- More coming soon!
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"Number 213727807687680 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 213727807687680 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/213727807687680/
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Numbermatics. 2024. "Number 213727807687680 - Facts about the integer". https://numbermatics.com/n/213727807687680/
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