213998906188800
213,998,906,188,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 213998906188800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2970 divisors.
213998906188800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, nine hundred seventy divisors.
Prime factorization of 213998906188800:
210 × 34 × 52 × 292 × 412 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 29 × 29 × 41 × 41 × 73)See below for interesting mathematical facts about the number 213998906188800 from the Numbermatics database.
Names of 213998906188800
- Cardinal: 213998906188800 can be written as Two hundred thirteen trillion, nine hundred ninety-eight billion, nine hundred six million, one hundred eighty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 2.139989061888 × 1014
Factors of 213998906188800
Divisors of 213998906188800
- Number of divisors d(n): 2970
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 29 30 32 36 40 41 45 48 50 54 58 60 64 72 73 75 80 81 82 87 90 96 100 108 116 120 123 128 135 144 145 146 150 160 162 164 174 180 192 200 205 216 219 225 232 240 246 256 261 270 288 290 292 300 320 324 328 348 360 365 369 384 400 405 410 432 435 438 450 464 480 492 512 522 540 576 580 584 600 615 640 648 656 657 675 696 720 725 730 738 768 783 800 810 820 841 864 870 876 900 928 960 984 1024 1025 1044 1080 1095 1107 1152 1160 1168 1189 1200 1230 1280 1296 1305 1312 1314 1350 1392 1440 1450 1460 1476 1536 1566 1600 1620 1640 1681 1682 1728 1740 1752 1800 1825 1845 1856 1920 1968 1971 2025 2050 2088 2117 2160 2175 2190 2214 2304 2320 2336 2349 2378 2400 2460 2523 2560 2592 2610 2624 2628 2700 2784 2880 2900 2920 2952 2993 3072 3075 3132 3200 3240 3280 3285 3321 3362 3364 3456 3480 3504 3567 3600 3650 3690 3712 3840 3915 3936 3942 4050 4100 4176 4205 4234 4320 4350 4380 4428 4608 4640 4672 4698 4756 4800 4920 5043 5046 5120 5184 5220 5248 5256 5400 5475 5535 5568 5760 5800 5840 5904 5913 5945 5986 6150 6264 6351 6400 6480 6525 6560 6570 6642 6724 6728 6912 6960 7008 7134 7200 7300 7380 7424 7569 7680 7830 7872 7884 8100 8200 8352 8405 8410 8468 8640 8700 8760 8856 8979 9216 9225 9280 9344 9396 9512 9600 9840 9855 10086 10092 10368 10440 10496 10512 10585 10701 10800 10950 11070 11136 11520 11600 11680 11745 11808 11826 11890 11972 12300 12528 12615 12702 12800 12960 13050 13120 13140 13284 13448 13456 13824 13920 14016 14268 14400 14600 14760 14848 14965 15129 15138 15360 15660 15744 15768 16200 16400 16425 16605 16704 16810 16820 16936 17280 17400 17520 17712 17835 17958 18450 18560 18688 18792 19024 19053 19200 19575 19680 19710 20172 20184 20736 20880 20992 21024 21025 21170 21402 21600 21900 22140 22272 22707 23040 23200 23360 23490 23616 23652 23780 23944 24600 25056 25215 25230 25404 25600 25920 26100 26240 26280 26568 26896 26912 26937 27648 27675 27840 28032 28536 28800 29200 29520 29565 29696 29725 29930 30258 30276 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4349571264 4389811200 4468737600 4499556480 4523907200 4530803400 4555106560 4580456040 4612045392 4644073485 4712179200 4714982400 4766653440 4804213950 4832856960 4885819776 4953678384 4999507200 5054296320 5089153536 5089395600 5092180992 5097153825 5124494880 5160081650 5301201600 5304355200 5428688640 5436964080 5466127872 5572888182 5615884800 5624445600 5654615040 5693883200 5725570050 5765056740 5799428352 5958316800 5999408640 6041071200 6107274720 6149393856 6192097980 6206284800 6317870400 6361441920 6365226240 6405618600 6443809280 6514426368 6524356896 6604904512 6666009600 6739061760 6785860800 6796205100 6832659840 7068268800 7072473600 7149980160 7199290368 7206320925 7238251520 7249285440 7328729664 7430517576 7499260800 7634093400 7686742320 7732571136 7740122475 7944422400 7951802400 7956532800 8054761600 8143032960 8155446120 8199191808 8256130640 8359332273 8423827200 8481922560 8486968320 8540824800 8699142528 8937475200 8999112960 9047814400 9061606800 9110213120 9160912080 9224090784 9288146970 9424358400 9608427900 9665713920 9771639552 9907356768 9999014400 10108592640 10178307072 10178791200 10194307650 10248989760 10320163300 10602403200 10608710400 10857377280 10873928160 10932255744 11145776364 11231769600 11248891200 11387766400 11451140100 11530113480 11598856704 11916633600 11998817280 12082142400 12214549440 12298787712 12384195960 12635740800 12722883840 12730452480 12811237200 12887618560 13028852736 13048713792 13209809024 13571721600 13592410200 13665319680 13932220455 14136537600 14144947200 14299960320 14412641850 14498570880 14657459328 14861035152 14998521600 15268186800 15373484640 15480244950 15903604800 15913065600 16109523200 16286065920 16310892240 16398383616 16512261280 16718664546 16847654400 16963845120 17081649600 17398285056 17874950400 17998225920 18095628800 18123213600 18220426240 18321824160 18448181568 18576293940 19216855800 19331427840 19543279104 19814713536 19998028800 20217185280 20357582400 20388615300 20497979520 20640326600 21204806400 21217420800 21714754560 21747856320 22291552728 22497782400 22775532800 22902280200 23060226960 23197713408 23220367425 23833267200 24164284800 24429098880 24597575424 24768391920 25271481600 25445767680 25460904960 25622474400 26097427584 26419618048 27143443200 27184820400 27330639360 27864440910 28273075200 28825283700 28997141760 29314918656 29722070304 29997043200 30536373600 30746969280 30960489900 31807209600 31826131200 32219046400 32572131840 32621784480 32796767232 33024522560 33437329092 33695308800 34163299200 34796570112 35749900800 35996451840 36191257600 36246427200 36643648320 36896363136 37152587880 38433711600 38662855680 39086558208 39629427072 40715164800 40777230600 40995959040 41280653200 41796661365 42409612800 42434841600 43495712640 44583105456 44995564800 45551065600 45804560400 46120453920 46440734850 48328569600 48858197760 49195150848 49536783840 50542963200 50891535360 51244948800 52194855168 52839236096 54286886400 54369640800 54661278720 55728881820 57650567400 57994283520 58629837312 59444140608 59994086400 61072747200 61493938560 61920979800 63614419200 63652262400 64438092800 65144263680 65243568960 66049045120 66874658184 68326598400 69593140224 69661102275 71499801600 72492854400 73287296640 73792726272 74305175760 76867423200 79258854144 81430329600 81554461200 81991918080 82561306400 83593322730 84819225600 86991425280 89166210912 89991129600 91102131200 91609120800 92240907840 92881469700 96657139200 97716395520 98390301696 99073567680 101085926400 102489897600 104389710336 105678472192 108573772800 108739281600 111457763640 115301134800 115988567040 117259674624 118888281216 122145494400 122987877120 123841959600 127228838400 127304524800 130487137920 132098090240 133749316368 136653196800 139322204550 144985708800 146574593280 147585452544 148610351520 153734846400 158517708288 162860659200 163108922400 163983836160 165122612800 167186645460 173982850560 178332421824 179982259200 183218241600 184481815680 185762939400 193314278400 195432791040 198147135360 204979795200 208779420672 208983306825 217478563200 222915527280 230602269600 237776562432 244290988800 245975754240 247683919200 254457676800 260974275840 264196180480 267498632736 273306393600 278644409100 289971417600 293149186560 295170905088 297220703040 307469692800 317035416576 325721318400 326217844800 330245225600 334373290920 347965701120 356664843648 366436483200 368963631360 371525878800 396294270720 409959590400 417966613650 434957126400 445831054560 461204539200 475553124864 488581977600 491951508480 495367838400 521948551680 528392360960 534997265472 557288818200 579942835200 586298373120 594441406080 614939385600 652435689600 660490451200 668746581840 713329687296 732872966400 737927262720 743051757600 792588541440 819919180800 835933227300 869914252800 891662109120 922409078400 951106249728 977163955200 990735676800 1043897103360 1069994530944 1114577636400 1188882812160 1229878771200 1304871379200 1320980902400 1337493163680 1426659374592 1465745932800 1475854525440 1486103515200 1585177082880 1671866454600 1739828505600 1783324218240 1844818156800 1981471353600 2139989061888 2229155272800 2377765624320 2459757542400 2609742758400 2641961804800 2674986327360 2853318749184 2931491865600 2972207030400 3343732909200 3566648436480 3689636313600 3962942707200 4279978123776 4458310545600 4755531248640 5219485516800 5349972654720 5944414060800 6687465818400 7133296872960 7379272627200 7925885414400 8559956247552 8916621091200 10699945309440 11888828121600 13374931636800 14266593745920 17833242182400 21399890618880 23777656243200 26749863273600 35666484364800 42799781237760 53499726547200 71332968729600 106999453094400 213998906188800
- Sum of all divisors σ(n): 852707453185874
- Sum of proper divisors (its aliquot sum) s(n): 638708546997074
- 213998906188800 is an abundant number, because the sum of its proper divisors (638708546997074) is greater than itself. Its abundance is 424709640808274
Bases of 213998906188800
- Binary: 1100001010100001100000001100100100100100000000002
- Hexadecimal: 0xC2A180C92400
- Base-36: 23UTQNGG00
Squares and roots of 213998906188800
- 213998906188800 squared (2139989061888002) is 45795531850002822941245440000
- 213998906188800 cubed (2139989061888003) is 9800193724234956619618759408795779072000000
-
The
square root of 213998906188800 is 14628701.4525828641 -
The
cube root of 213998906188800 is 59814.1383881785
Scales and comparisons
How big is 213998906188800?- 213,998,906,188,800 seconds is equal to 6,804,503 years, 14 weeks, 2 days.
-
To count from 1 to 213,998,906,188,800 would take you about seventeen million, eleven thousand, two hundred fifty-eight 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 213998906188800 cubic inches would be around 4984.5 feet tall.
Recreational maths with 213998906188800
- 213998906188800 backwards is 008881609899312
- 213998906188800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 213998906188800's digits is 72
- More coming soon!
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Cite this page
MLA style:
"Number 213998906188800 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
APA style:
Numbermatics. (2024). Number 213998906188800 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/213998906188800/
Chicago style:
Numbermatics. 2024. "Number 213998906188800 - Facts about the integer". https://numbermatics.com/n/213998906188800/
The information we have on file for 213998906188800 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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