213422563200
213,422,563,200 is an even composite number composed of seven prime numbers multiplied together.
213422563200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 213422563200:
27 × 3 × 52 × 7 × 11 × 47 × 6143
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 11 × 47 × 6143)See below for interesting mathematical facts about the number 213422563200 from the Numbermatics database.
Names of 213422563200
- Cardinal: 213422563200 can be written as Two hundred thirteen billion, four hundred twenty-two million, five hundred sixty-three thousand, two hundred.
Scientific notation
- Scientific notation: 2.134225632 × 1011
Factors of 213422563200
Divisors of 213422563200
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 30 32 33 35 40 42 44 47 48 50 55 56 60 64 66 70 75 77 80 84 88 94 96 100 105 110 112 120 128 132 140 141 150 154 160 165 168 175 176 188 192 200 210 220 224 231 235 240 264 275 280 282 300 308 320 329 330 336 350 352 376 384 385 400 420 440 448 462 470 480 517 525 528 550 560 564 600 616 640 658 660 672 700 704 705 752 770 800 825 840 880 896 924 940 960 987 1034 1050 1056 1100 1120 1128 1155 1175 1200 1232 1316 1320 1344 1400 1408 1410 1504 1540 1551 1600 1645 1650 1680 1760 1848 1880 1920 1925 1974 2068 2100 2112 2200 2240 2256 2310 2350 2400 2464 2585 2632 2640 2688 2800 2820 3008 3080 3102 3200 3290 3300 3360 3520 3525 3619 3696 3760 3850 3948 4136 4200 4224 4400 4480 4512 4620 4700 4800 4928 4935 5170 5264 5280 5600 5640 5775 6016 6143 6160 6204 6580 6600 6720 7040 7050 7238 7392 7520 7700 7755 7896 8225 8272 8400 8800 9024 9240 9400 9600 9856 9870 10340 10528 10560 10857 11200 11280 11550 12286 12320 12408 12925 13160 13200 13440 14100 14476 14784 15040 15400 15510 15792 16450 16544 16800 17600 18048 18095 18429 18480 18800 19740 20680 21056 21120 21714 22400 22560 23100 24572 24640 24675 24816 25850 26320 26400 28200 28952 29568 30080 30715 30800 31020 31584 32900 33088 33600 35200 36190 36858 36960 37600 38775 39480 41360 42112 43001 43428 45120 46200 49144 49280 49350 49632 51700 52640 52800 54285 56400 57904 61430 61600 62040 63168 65800 66176 67200 67573 72380 73716 73920 75200 77550 78960 82720 86002 86856 90240 90475 92145 92400 98288 98700 99264 103400 105280 105600 108570 112800 115808 122860 123200 124080 126336 129003 131600 135146 144760 147432 147840 150400 153575 155100 157920 165440 172004 173712 180950 184290 184800 196576 197400 198528 202719 206800 210560 215005 217140 225600 231616 245720 246400 248160 258006 263200 270292 271425 288721 289520 294864 307150 310200 315840 330880 337865 344008 347424 361900 368580 369600 393152 394800 405438 413600 430010 434280 451200 460725 463232 473011 491440 496320 516012 526400 540584 542850 577442 579040 589728 614300 620400 631680 645015 675730 688016 694848 723800 737160 739200 786304 789600 810876 827200 860020 866163 868560 921450 946022 982880 992640 1013595 1032024 1052800 1075025 1081168 1085700 1154884 1158080 1179456 1228600 1240800 1290030 1351460 1376032 1389696 1419033 1443605 1447600 1474320 1579200 1621752 1654400 1689325 1720040 1732326 1737120 1842900 1892044 1965760 2021047 2027190 2064048 2150050 2162336 2171400 2309768 2316160 2358912 2365055 2457200 2481600 2580060 2702920 2752064 2838066 2887210 2895200 2948640 3158400 3175931 3225075 3243504 3378650 3440080 3464652 3474240 3685800 3784088 3931520 4042094 4054380 4128096 4300100 4324672 4330815 4342800 4619536 4730110 4914400 4963200 5067975 5160120 5405840 5504128 5676132 5774420 5790400 5897280 6063141 6351862 6450150 6487008 6757300 6880160 6929304 6948480 7095165 7218025 7371600 7568176 8084188 8108760 8256192 8600200 8649344 8661630 8685600 9239072 9460220 9527793 9828800 10105235 10135950 10320240 10811680 11352264 11548840 11580800 11794560 11825275 12126282 12703724 12900300 12974016 13514600 13760320 13858608 14190330 14436050 14743200 15136352 15879655 16168376 16217520 16512384 17200400 17323260 17371200 18478144 18920440 19055586 19657600 20210470 20271900 20640480 21623360 21654075 22231517 22704528 23097680 23650550 24252564 25407448 25800600 25948032 27029200 27520640 27717216 28380660 28872100 29486400 30272704 30315705 31759310 32336752 32435040 34400800 34646520 34742400 35475825 36956288 37840880 38111172 40420940 40543800 41280960 43246720 43308150 44463034 45409056 46195360 47301100 47638965 48505128 50526175 50814896 51601200 54058400 55434432 56761320 57744200 58972800 60545408 60631410 63518620 64673504 64870080 66694551 68801600 69293040 70951650 75681760 76222344 79398275 80841880 81087600 82561920 86616300 88926068 90818112 92390720 94602200 95277930 97010256 101052350 101629792 103202400 108116800 110868864 111157585 113522640 115488400 121262820 127037240 129347008 129740160 133389102 137603200 138586080 141903300 151363520 151578525 152444688 158796550 161683760 162175200 173232600 177852136 181636224 184781440 189204400 190555860 194020512 202104700 203259584 206404800 216233600 222315170 227045280 230976800 238194825 242525640 254074480 258694016 266778204 277172160 283806600 302727040 303157050 304889376 317593100 323367520 324350400 333472755 346465200 355704272 378408800 381111720 388041024 404209400 406519168 412809600 444630340 454090560 461953600 476389650 485051280 508148960 533556408 554344320 555787925 567613200 606314100 609778752 635186200 646735040 648700800 666945510 692930400 711408544 756817600 762223440 776082048 808418800 889260680 908181120 923907200 952779300 970102560 1016297920 1067112816 1111575850 1135226400 1212628200 1219557504 1270372400 1293470080 1333891020 1385860800 1422817088 1513635200 1524446880 1616837600 1667363775 1778521360 1905558600 1940205120 2032595840 2134225632 2223151700 2270452800 2425256400 2540744800 2667782040 2771721600 2845634176 3048893760 3233675200 3334727550 3557042720 3811117200 3880410240 4268451264 4446303400 4540905600 4850512800 5081489600 5335564080 6097787520 6467350400 6669455100 7114085440 7622234400 8536902528 8892606800 9701025600 10162979200 10671128160 13338910200 14228170880 15244468800 17785213600 19402051200 21342256320 26677820400 30488937600 35570427200 42684512640 53355640800 71140854400 106711281600 213422563200
- Sum of all divisors σ(n): 895211274240
- Sum of proper divisors (its aliquot sum) s(n): 681788711040
- 213422563200 is an abundant number, because the sum of its proper divisors (681788711040) is greater than itself. Its abundance is 468366147840
Bases of 213422563200
- Binary: 110001101100001111100111011111100000002
- Hexadecimal: 0x31B0F9DF80
- Base-36: 2Q1MA7PC
Squares and roots of 213422563200
- 213422563200 squared (2134225632002) is 45549190482857994240000
- 213422563200 cubed (2134225632003) is 9721224984536598792311635968000000
-
The
square root of 213422563200 is 461976.7994174599 -
The
cube root of 213422563200 is 5976.0392858465
Scales and comparisons
How big is 213422563200?- 213,422,563,200 seconds is equal to 6,786 years, 9 weeks, 1 day, 13 hours, 20 minutes.
-
To count from 1 to 213,422,563,200 would take you about thirteen thousand, five hundred seventy-two 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 213422563200 cubic inches would be around 498 feet tall.
Recreational maths with 213422563200
- 213422563200 backwards is 002365224312
- 213422563200 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 213422563200's digits is 30
- More coming soon!
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