213830731681600
213,830,731,681,600 is an even composite number composed of six prime numbers multiplied together.
What does the number 213830731681600 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 672 divisors.
213830731681600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 213830731681600:
26 × 52 × 113 × 53 × 97 × 19531
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 11 × 11 × 53 × 97 × 19531)See below for interesting mathematical facts about the number 213830731681600 from the Numbermatics database.
Names of 213830731681600
- Cardinal: 213830731681600 can be written as Two hundred thirteen trillion, eight hundred thirty billion, seven hundred thirty-one million, six hundred eighty-one thousand, six hundred.
Scientific notation
- Scientific notation: 2.138307316816 × 1014
Factors of 213830731681600
Divisors of 213830731681600
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 53 55 64 80 88 97 100 106 110 121 160 176 194 200 212 220 242 265 275 320 352 388 400 424 440 484 485 530 550 583 605 704 776 800 848 880 968 970 1060 1067 1100 1166 1210 1325 1331 1552 1600 1696 1760 1936 1940 2120 2134 2200 2332 2420 2425 2650 2662 2915 3025 3104 3392 3520 3872 3880 4240 4268 4400 4664 4840 4850 5141 5300 5324 5335 5830 6050 6208 6413 6655 7744 7760 8480 8536 8800 9328 9680 9700 10282 10600 10648 10670 11660 11737 12100 12826 13310 14575 15520 16960 17072 17600 18656 19360 19400 19531 20564 21200 21296 21340 23320 23474 24200 25652 25705 26620 26675 29150 31040 32065 33275 34144 37312 38720 38800 39062 41128 42400 42592 42680 46640 46948 48400 51304 51410 53240 53350 56551 58300 58685 64130 66550 68288 70543 77600 78124 82256 84800 85184 85360 93280 93896 96800 97655 102608 102820 106480 106700 113102 116600 117370 128260 128525 129107 133100 141086 155200 156248 160325 164512 170720 186560 187792 193600 195310 205216 205640 212960 213400 214841 226204 233200 234740 256520 257050 258214 266200 282172 282755 293425 312496 320650 329024 341440 352715 375584 390620 410432 411280 425920 426800 429682 452408 466400 469480 488275 513040 514100 516428 532400 564344 565510 586850 622061 624992 641300 645535 705430 751168 781240 822560 853600 859364 904816 932800 938960 976550 1026080 1028200 1032856 1035143 1064800 1074205 1128688 1131020 1173700 1244122 1249984 1282600 1291070 1410860 1413775 1562480 1645120 1707200 1718728 1763575 1809632 1877920 1894507 1953100 2052160 2056400 2065712 2070286 2129600 2148410 2257376 2262040 2347400 2363251 2488244 2565200 2582140 2821720 2827550 3110305 3124960 3227675 3437456 3527150 3619264 3755840 3789014 3906200 4112800 4131424 4140572 4296820 4514752 4524080 4694800 4726502 4976488 5130400 5164280 5175715 5371025 5643440 5655100 6220610 6249920 6455350 6842671 6874912 7054300 7578028 7812400 8225600 8262848 8281144 8593640 9048160 9389600 9453004 9472535 9952976 10260800 10328560 10351430 10742050 11286880 11310200 11386573 11816255 12441220 12910700 13685342 13749824 14108600 15156056 15551525 15624800 16562288 17187280 18096320 18779200 18906008 18945070 19905952 20657120 20702860 20839577 21484100 22573760 22620400 22773146 23632510 24882440 25821400 25878575 25995761 27370684 28217200 30312112 31103050 31249600 33124576 34213355 34374560 37812016 37890140 39811904 41314240 41405720 41679154 42968200 45240800 45546292 47265020 47362675 49764880 51642800 51757150 51991522 54741368 56434400 56932865 59081275 60624224 62206100 66249152 68426710 68749120 75624032 75780280 82811440 83358308 85936400 90481600 91092584 94530040 94725350 99529760 100408871 103285600 103514300 103983044 104197885 109482736 112868800 113865730 118162550 121248448 124412200 125252303 129978805 136853420 151248064 151560560 165622880 166716616 171066775 171872800 182185168 189060080 189450700 199059520 200817742 206571200 207028600 207966088 208395770 218965472 227731460 229235347 236325100 248824400 250504606 259957610 273706840 284664325 303121120 331245760 333433232 342133550 343745600 364370336 378120160 378901400 401635484 414057200 415932176 416791540 437930944 455462920 458470694 472650200 497648800 501009212 502044355 519915220 520989425 547413680 569328650 606242240 626261515 649894025 666866464 684267100 728740672 756240320 757802800 803270968 828114400 831864352 833583080 910925840 916941388 945300400 995297600 1002018424 1004088710 1039830440 1041978850 1094827360 1104497581 1138657300 1146176735 1252523030 1299788050 1333732928 1368534200 1377775333 1515605600 1606541936 1656228800 1663728704 1667166160 1821851680 1833882776 1890600800 2004036848 2008177420 2079660880 2083957700 2189654720 2208995162 2277314600 2292353470 2505046060 2510221775 2521588817 2599576100 2737068400 2755550666 3031211200 3131307575 3213083872 3334332320 3643703360 3667765552 3781201600 4008073696 4016354840 4159321760 4167915400 4417990324 4554629200 4584706940 5010092120 5020443550 5043177634 5199152200 5474136800 5511101332 5522487905 5730883675 6262615150 6426167744 6668664640 6888876665 7335531104 8016147392 8032709680 8318643520 8335830800 8835980648 9109258400 9169413880 10020184240 10040887100 10086355268 10398304400 10948273600 11022202664 11044975810 11461767350 12149473391 12525230300 12607944085 13777753330 14671062208 16065419360 16671661600 17671961296 18218516800 18338827760 20040368480 20081774200 20172710536 20796608800 22044405328 22089951620 22923534700 24298946782 25050460600 25215888170 27555506660 27612439525 32130838720 33343323200 34444383325 35343922592 36677655520 40080736960 40163548400 40345421072 41593217600 44088810656 44179903240 45847069400 48597893564 50100921200 50431776340 55111013320 55224879050 60747366955 63039720425 68888766650 70687845184 73355311040 80327096800 80690842144 88177621312 88359806480 91694138800 97195787128 100201842400 100863552680 110222026640 110449758100 121494733910 126079440850 133644207301 137777533300 160654193600 161381684288 176719612960 183388277600 194391574256 200403684800 201727105360 220444053280 220899516200 242989467820 252158881700 267288414602 275555066600 303736834775 353439225920 366776555200 388783148512 403454210720 440888106560 441799032400 485978935640 504317763400 534576829204 551110133200 607473669550 668221036505 777566297024 806908421440 883598064800 971957871280 1008635526800 1069153658408 1102220266400 1214947339100 1336442073010 1767196129600 1943915742560 2017271053600 2138307316816 2204440532800 2429894678200 2672884146020 3341105182525 3887831485120 4034542107200 4276614633632 4859789356400 5345768292040 6682210365050 8553229267264 9719578712800 10691536584080 13364420730100 19439157425600 21383073168160 26728841460200 42766146336320 53457682920400 106915365840800 213830731681600
- Sum of all divisors σ(n): 595762334520192
- Sum of proper divisors (its aliquot sum) s(n): 381931602838592
- 213830731681600 is an abundant number, because the sum of its proper divisors (381931602838592) is greater than itself. Its abundance is 168100871156992
Bases of 213830731681600
- Binary: 1100001001111010010110001100110111001111010000002
- Hexadecimal: 0xC27A58CDCF40
- Base-36: 23SOHCP3R4
Squares and roots of 213830731681600
- 213830731681600 squared (2138307316816002) is 45723581811488413963778560000
- 213830731681600 cubed (2138307316816003) is 9777106953854065118615879964638826496000000
-
The
square root of 213830731681600 is 14622952.2218189579 -
The
cube root of 213830731681600 is 59798.4656453555
Scales and comparisons
How big is 213830731681600?- 213,830,731,681,600 seconds is equal to 6,799,155 years, 43 weeks, 6 days, 19 hours, 6 minutes, 40 seconds.
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To count from 1 to 213,830,731,681,600 would take you about sixteen million, nine hundred ninety-seven thousand, eight hundred eighty-nine 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 213830731681600 cubic inches would be around 4983.2 feet tall.
Recreational maths with 213830731681600
- 213830731681600 backwards is 006186137038312
- The number of decimal digits it has is: 15
- The sum of 213830731681600's digits is 49
- More coming soon!
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