213828565516800
213,828,565,516,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 213828565516800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
213828565516800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 213828565516800:
29 × 3 × 52 × 13 × 19 × 43 × 524287
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 19 × 43 × 524287)See below for interesting mathematical facts about the number 213828565516800 from the Numbermatics database.
Names of 213828565516800
- Cardinal: 213828565516800 can be written as Two hundred thirteen trillion, eight hundred twenty-eight billion, five hundred sixty-five million, five hundred sixteen thousand, eight hundred.
Scientific notation
- Scientific notation: 2.138285655168 × 1014
Factors of 213828565516800
Divisors of 213828565516800
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 25 26 30 32 38 39 40 43 48 50 52 57 60 64 65 75 76 78 80 86 95 96 100 104 114 120 128 129 130 150 152 156 160 172 190 192 195 200 208 215 228 240 247 256 258 260 285 300 304 312 320 325 344 380 384 390 400 416 430 456 475 480 494 512 516 520 559 570 600 608 624 640 645 650 688 741 760 768 780 800 817 832 860 912 950 960 975 988 1032 1040 1075 1118 1140 1200 1216 1235 1248 1280 1290 1300 1376 1425 1482 1520 1536 1560 1600 1634 1664 1677 1720 1824 1900 1920 1950 1976 2064 2080 2150 2236 2280 2400 2432 2451 2470 2496 2560 2580 2600 2752 2795 2850 2964 3040 3120 3200 3225 3268 3328 3354 3440 3648 3705 3800 3840 3900 3952 4085 4128 4160 4300 4472 4560 4800 4864 4902 4940 4992 5160 5200 5504 5590 5700 5928 6080 6175 6240 6400 6450 6536 6656 6708 6880 7296 7410 7600 7680 7800 7904 8170 8256 8320 8385 8600 8944 9120 9600 9728 9804 9880 9984 10320 10400 10621 11008 11180 11400 11856 12160 12255 12350 12480 12800 12900 13072 13416 13760 13975 14592 14820 15200 15600 15808 16340 16512 16640 16770 17200 17888 18240 18525 19200 19608 19760 19968 20425 20640 20800 21242 22016 22360 22800 23712 24320 24510 24700 24960 25800 26144 26832 27520 27950 29184 29640 30400 31200 31616 31863 32680 33024 33280 33540 34400 35776 36480 37050 38400 39216 39520 40850 41280 41600 41925 42484 44720 45600 47424 48640 49020 49400 49920 51600 52288 53105 53664 55040 55900 59280 60800 61275 62400 63232 63726 65360 66048 67080 68800 71552 72960 74100 78432 79040 81700 82560 83200 83850 84968 89440 91200 94848 98040 98800 99840 103200 104576 106210 107328 110080 111800 118560 121600 122550 124800 126464 127452 130720 134160 137600 143104 145920 148200 156864 158080 159315 163400 165120 166400 167700 169936 178880 182400 189696 196080 197600 206400 209152 212420 214656 223600 237120 243200 245100 249600 254904 261440 265525 268320 275200 286208 296400 313728 316160 318630 326800 330240 335400 339872 357760 364800 379392 392160 395200 412800 418304 424840 429312 447200 474240 490200 499200 509808 522880 524287 531050 536640 550400 592800 627456 632320 637260 653600 670800 679744 715520 729600 784320 790400 796575 825600 849680 858624 894400 948480 980400 1019616 1045760 1048574 1062100 1073280 1185600 1254912 1274520 1307200 1341600 1359488 1431040 1568640 1572861 1580800 1593150 1651200 1699360 1788800 1896960 1960800 2039232 2091520 2097148 2124200 2146560 2371200 2549040 2614400 2621435 2683200 2718976 3137280 3145722 3161600 3186300 3398720 3577600 3921600 4078464 4194296 4248400 4293120 4742400 5098080 5228800 5242870 5366400 5437952 6274560 6291444 6372600 6797440 6815731 7155200 7843200 7864305 8156928 8388592 8496800 9484800 9961453 10196160 10457600 10485740 10732800 12582888 12745200 13107175 13594880 13631462 15686400 15728610 16313856 16777184 16993600 19922906 20392320 20447193 20971480 21465600 22544341 25165776 25490400 26214350 27189760 27262924 29884359 31372800 31457220 33554368 33987200 34078655 39321525 39845812 40784640 40894386 41942960 45088682 49807265 50331552 50980800 52428700 54525848 59768718 62914440 67108736 67633023 67974400 68157310 78643050 79691624 81569280 81788772 83885920 90177364 99614530 100663104 101961600 102235965 104857400 109051696 112721705 119537436 125828880 129498889 134217472 135266046 135948800 136314620 149421795 157286100 159383248 163577544 167771840 170393275 180354728 199229060 201326208 203923200 204471930 209714800 218103392 225443410 239074872 249036325 251657760 258997778 268434944 270532092 272629240 293076433 298843590 314572200 318766496 327155088 335543680 338165115 340786550 360709456 388496667 398458120 402652416 407846400 408943860 419429600 428342479 436206784 450886820 478149744 498072650 503315520 511179825 517995556 541064184 545258480 563608525 586152866 597687180 629144400 637532992 647494445 654310176 671087360 676330230 681573100 721418912 747108975 776993334 796916240 805304832 817887720 838859200 856684958 872413568 879229299 901773640 956299488 996145300 1006631040 1022359650 1035991112 1082128368 1090516960 1127217050 1172305732 1195374360 1258288800 1275065984 1285027437 1294988890 1308620352 1342174720 1352660460 1363146200 1442837824 1465382165 1494217950 1553986668 1593832480 1635775440 1677718400 1690825575 1713369916 1744827136 1758458598 1803547280 1912598976 1942483335 1992290600 2013262080 2044719300 2071982224 2141712395 2164256736 2181033920 2254434100 2344611464 2390748720 2516577600 2550131968 2570054874 2589977780 2617240704 2705320920 2726292400 2885675648 2930764330 2988435900 3107973336 3187664960 3237472225 3271550880 3355436800 3381651150 3426739832 3489654272 3516917196 3607094560 3825197952 3884966670 3984581200 4026524160 4089438600 4143964448 4283424790 4328513472 4362067840 4396146495 4508868200 4689222928 4781497440 5033155200 5100263936 5140109748 5179955560 5234481408 5410641840 5452584800 5568452227 5771351296 5861528660 5976871800 6215946672 6375329920 6425137185 6474944450 6543101760 6710873600 6763302300 6853479664 7033834392 7214189120 7326910825 7650395904 7769933340 7969162400 8178877200 8287928896 8566849580 8657026944 8724135680 8792292990 9017736400 9378445856 9562994880 9712416675 10066310400 10280219496 10359911120 10468962816 10708561975 10821283680 10905169600 11136904454 11542702592 11723057320 11953743600 12431893344 12750659840 12850274370 12949888900 13086203520 13526604600 13706959328 14067668784 14428378240 14653821650 15300791808 15539866680 15938324800 16357754400 16575857792 16705356681 17133699160 17314053888 17448271360 17584585980 18035472800 18756891712 19125989760 19424833350 20132620800 20560438992 20719822240 21417123950 21642567360 21810339200 21980732475 22273808908 23446114640 23907487200 24863786688 25501319680 25700548740 25899777800 26172407040 27053209200 27413918656 27842261135 28135337568 28856756480 29307643300 31079733360 31876649600 32125685925 32715508800 33151715584 33410713362 34267398320 34628107776 35169171960 36070945600 37513783424 38251979520 38849666700 41120877984 41439644480 42834247900 43285134720 43620678400 43961464950 44547617816 46892229280 47814974400 49727573376 51401097480 51799555600 52344814080 54106418400 54827837312 55684522270 56270675136 57713512960 58615286600 62159466720 63753299200 64251371850 65431017600 66303431168 66821426724 68534796640 70338343920 72141891200 75027566848 76503959040 77699333400 82241755968 82879288960 83526783405 85668495800 86570269440 87241356800 87922929900 89095235632 93784458560 95629948800 99455146752 102802194960 103599111200 108212836800 109655674624 111369044540 112541350272 117230573200 124318933440 127506598400 128502743700 130862035200 133642853448 137069593280 139211305675 140676687840 144283782400 150055133696 155398666800 164483511936 165758577920 167053566810 171336991600 173140538880 175845859800 178190471264 187568917120 191259897600 198910293504 205604389920 207198222400 216425673600 219311349248 222738089080 225082700544 234461146400 248637866880 257005487400 261724070400 267285706896 274139186560 278422611350 281353375680 288567564800 310797333600 328967023872 331517155840 334107133620 342673983200 351691719600 356380942528 375137834240 382519795200 411208779840 414396444800 417633917025 432851347200 445476178160 450165401088 468922292800 497275733760 514010974800 534571413792 548278373120 556845222700 562706751360 621594667200 657934047744 668214267240 685347966400 703383439200 712761885056 750275668480 822417559680 828792889600 835267834050 865702694400 890952356320 937844585600 994551467520 1028021949600 1069142827584 1096556746240 1113690445400 1125413502720 1243189334400 1336428534480 1370695932800 1406766878400 1425523770112 1644835119360 1657585779200 1670535668100 1781904712640 1875689171200 2056043899200 2138285655168 2227380890800 2250827005440 2486378668800 2672857068960 2741391865600 2813533756800 2851047540224 3289670238720 3341071336200 3563809425280 3751378342400 4112087798400 4276571310336 4454761781600 4972757337600 5345714137920 5482783731200 5627067513600 6682142672400 7127618850560 8224175596800 8553142620672 8909523563200 10691428275840 11254135027200 13364285344800 14255237701120 16448351193600 17819047126400 21382856551680 26728570689600 35638094252800 42765713103360 53457141379200 71276188505600 106914282758400 213828565516800
- Sum of all divisors σ(n): 819366010552320
- Sum of proper divisors (its aliquot sum) s(n): 605537445035520
- 213828565516800 is an abundant number, because the sum of its proper divisors (605537445035520) is greater than itself. Its abundance is 391708879518720
Bases of 213828565516800
- Binary: 1100001001111001110101111011000011000010000000002
- Hexadecimal: 0xC279D7B0C200
- Base-36: 23SNHJ0OAO
Squares and roots of 213828565516800
- 213828565516800 squared (2138285655168002) is 45722655430972430051082240000
- 213828565516800 cubed (2138285655168003) is 9776809822423759599112343926584901632000000
-
The
square root of 213828565516800 is 14622878.1543443081 -
The
cube root of 213828565516800 is 59798.2637196429
Scales and comparisons
How big is 213828565516800?- 213,828,565,516,800 seconds is equal to 6,799,086 years, 50 weeks, 2 days, 10 hours, 40 minutes.
-
To count from 1 to 213,828,565,516,800 would take you about sixteen million, nine hundred ninety-seven thousand, seven hundred seventeen 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 213828565516800 cubic inches would be around 4983.2 feet tall.
Recreational maths with 213828565516800
- 213828565516800 backwards is 008615565828312
- 213828565516800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 213828565516800's digits is 60
- More coming soon!
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The information we have on file for 213828565516800 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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