213405321199616
213,405,321,199,616 is an even composite number composed of six prime numbers multiplied together.
What does the number 213405321199616 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 816 divisors.
213405321199616 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixteen divisors.
Prime factorization of 213405321199616:
216 × 7 × 13 × 472 × 97 × 167
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 13 × 47 × 47 × 97 × 167)See below for interesting mathematical facts about the number 213405321199616 from the Numbermatics database.
Names of 213405321199616
- Cardinal: 213405321199616 can be written as Two hundred thirteen trillion, four hundred five billion, three hundred twenty-one million, one hundred ninety-nine thousand, six hundred sixteen.
Scientific notation
- Scientific notation: 2.13405321199616 × 1014
Factors of 213405321199616
Divisors of 213405321199616
- Number of divisors d(n): 816
-
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 32 47 52 56 64 91 94 97 104 112 128 167 182 188 194 208 224 256 329 334 364 376 388 416 448 512 611 658 668 679 728 752 776 832 896 1024 1169 1222 1261 1316 1336 1358 1456 1504 1552 1664 1792 2048 2171 2209 2338 2444 2522 2632 2672 2716 2912 3008 3104 3328 3584 4096 4277 4342 4418 4559 4676 4888 5044 5264 5344 5432 5824 6016 6208 6656 7168 7849 8192 8554 8684 8827 8836 9118 9352 9776 10088 10528 10688 10864 11648 12032 12416 13312 14336 15197 15463 15698 16199 16384 17108 17368 17654 17672 18236 18704 19552 20176 21056 21376 21728 23296 24064 24832 26624 28672 28717 30394 30926 31396 31913 32398 32768 34216 34736 35308 35344 36472 37408 39104 40352 42112 42752 43456 46592 48128 49664 53248 54943 57344 57434 59267 60788 61852 62792 63826 64796 65536 68432 69472 70616 70688 72944 74816 78208 80704 84224 85504 86912 93184 96256 99328 102037 106496 109886 113393 114688 114868 118534 121576 123704 125584 127652 129592 136864 138944 141232 141376 145888 149632 156416 161408 168448 171008 173824 186368 192512 198656 201019 204074 210587 212992 214273 219772 226786 229376 229736 237068 243152 247408 251168 255304 259184 273728 277888 282464 282752 291776 299264 312832 322816 336896 342016 347648 368903 372736 385024 397312 402038 408148 414869 421174 425984 428546 439544 453572 458752 459472 474136 486304 494816 502336 510608 518368 547456 555776 564928 565504 583552 598528 625664 645632 673792 684032 695296 714259 737806 745472 761353 770048 794624 804076 816296 829738 842348 851968 857092 879088 907144 918944 948272 972608 989632 1004672 1021216 1036736 1094912 1111552 1129856 1131008 1167104 1197056 1251328 1291264 1347584 1368064 1390592 1428518 1474109 1475612 1490944 1499911 1522706 1540096 1589248 1608152 1632592 1659476 1684696 1714184 1758176 1814288 1837888 1896544 1945216 1979264 2009344 2042432 2073472 2189824 2223104 2259712 2262016 2334208 2394112 2502656 2582321 2582528 2695168 2736128 2781184 2785549 2857036 2948218 2951224 2981888 2999822 3045412 3080192 3178496 3216304 3265184 3318952 3369392 3428368 3516352 3628576 3675776 3793088 3890432 3958528 4018688 4084864 4146944 4379648 4446208 4519424 4524032 4668416 4788224 4795739 5005312 5164642 5165056 5329471 5390336 5472256 5562368 5571098 5714072 5896436 5902448 5963776 5999644 6090824 6356992 6432608 6530368 6637904 6738784 6856736 7032704 7257152 7351552 7586176 7780864 7917056 8037376 8169728 8293888 8759296 8892416 9038848 9048064 9336832 9576448 9591478 9897589 10010624 10329284 10330112 10658942 10780672 10944512 11124736 11142196 11428144 11792872 11804896 11999288 12181648 12865216 13060736 13275808 13477568 13713472 14065408 14514304 14703104 15172352 15561728 15834112 16074752 16339456 16587776 17518592 17784832 18077696 18096128 18673664 19152896 19182956 19498843 19795178 20021248 20658568 20660224 21317884 21561344 22249472 22284392 22856288 23585744 23609792 23998576 24363296 25730432 26121472 26551616 26955136 27426944 28130816 29028608 29406208 30344704 31123456 31668224 32149504 32678912 33175552 33570173 35037184 35569664 35783591 36155392 36192256 37347328 38305792 38365912 38997686 39590356 40042496 41317136 41320448 42635768 44498944 44568784 45712576 47171488 47219584 47997152 48726592 51460864 52242944 53103232 53910272 54853888 56261632 58057216 58812416 60689408 62246912 63336448 64299008 65357824 66351104 67140346 69283123 70074368 71139328 71567182 72310784 72384512 74694656 76611584 76731824 77995372 79180712 82634272 82640896 85271536 89137568 91425152 94342976 94439168 95994304 97453184 102921728 104485888 106206464 107820544 109707776 112523264 116114432 117624832 121378816 124493824 126672896 128598016 130715648 132702208 134280692 138566246 140148736 142278656 143134364 144621568 144769024 149389312 153463648 155990744 158361424 165268544 170543072 178275136 182850304 188685952 188878336 191988608 194906368 205843456 208971776 212412928 215641088 219415552 225046528 232228864 235249664 242757632 248987648 250485137 253345792 257196032 261431296 265404416 268561384 277132492 280297472 286268728 289243136 298778624 306927296 311981488 316722848 330537088 341086144 356550272 365700608 377371904 377756672 383977216 389812736 411686912 417943552 424825856 431282176 438831104 450093056 464457728 465186683 470499328 485515264 497975296 500970274 506691584 514392064 522862592 530808832 537122768 554264984 572537456 578486272 613854592 623962976 633445696 661074176 682172288 713100544 731401216 754743808 755513344 767954432 779625472 823373824 835887104 849651712 862564352 877662208 900186112 928915456 930373366 940998656 971030528 995950592 1001940548 1013383168 1045725184 1061617664 1074245536 1108529968 1145074912 1227709184 1247925952 1266891392 1322148352 1364344576 1426201088 1462802432 1509487616 1511026688 1535908864 1559250944 1646747648 1671774208 1699303424 1725128704 1755324416 1800372224 1857830912 1860746732 1881997312 1942061056 2003881096 2091450368 2148491072 2217059936 2290149824 2455418368 2495851904 2533782784 2644296704 2728689152 2852402176 2925604864 3018975232 3022053376 3071817728 3118501888 3256306781 3293495296 3343548416 3398606848 3450257408 3510648832 3600744448 3715661824 3721493464 3884122112 4007762192 4296982144 4434119872 4580299648 4910836736 4991703808 5067565568 5288593408 5457378304 5704804352 5851209728 6037950464 6044106752 6143635456 6237003776 6512613562 6586990592 6687096832 6797213696 6900514816 7021297664 7431323648 7442986928 8015524384 8593964288 8868239744 9160599296 9821673472 9983407616 10135131136 10577186816 10914756608 11409608704 11702419456 12075900928 12088213504 12287270912 12474007552 13025227124 13173981184 13594427392 13801029632 14042595328 14885973856 16031048768 17187928576 17736479488 18321198592 19643346944 19966815232 20270262272 21154373632 21829513216 22819217408 23404838912 24151801856 24176427008 24574541824 24948015104 26050454248 27188854784 29771947712 32062097536 34375857152 35472958976 36642397184 39286693888 39933630464 40540524544 42308747264 43659026432 45638434816 46809677824 48303603712 49149083648 49896030208 52100908496 59543895424 64124195072 68751714304 70945917952 73284794368 78573387776 79867260928 81081049088 84617494528 87318052864 91276869632 96607207424 98298167296 104201816992 119087790848 128248390144 137503428608 141891835904 146569588736 157146775552 159734521856 162162098176 169234989056 174636105728 182553739264 208403633984 238175581696 256496780288 275006857216 283783671808 293139177472 314293551104 319469043712 324324196352 349272211456 416807267968 476351163392 512993560576 550013714432 567567343616 586278354944 638938087424 648648392704 833614535936 952702326784 1025987121152 1100027428864 1135134687232 1172556709888 1277876174848 1667229071872 1905404653568 2051974242304 2200054857728 2270269374464 2345113419776 3334458143744 3810809307136 4103948484608 4540538748928 6668916287488 7621618614272 8207896969216 13337832574976 15243237228544 16415793938432 26675665149952 30486474457088 53351330299904 106702660599808 213405321199616
- Sum of all divisors σ(n): 545495976996096
- Sum of proper divisors (its aliquot sum) s(n): 332090655796480
- 213405321199616 is an abundant number, because the sum of its proper divisors (332090655796480) is greater than itself. Its abundance is 118685334596864
Bases of 213405321199616
- Binary: 1100001000010111010011000101110100000000000000002
- Hexadecimal: 0xC2174C5D0000
- Base-36: 23N91UA328
Squares and roots of 213405321199616
- 213405321199616 squared (2134053211996162) is 45541831116311274153318547456
- 213405321199616 cubed (2134053211996163) is 9718869097395073956721539136490248544976896
-
The
square root of 213405321199616 is 14608398.9950855327 -
The
cube root of 213405321199616 is 59758.7835058729
Scales and comparisons
How big is 213405321199616?- 213,405,321,199,616 seconds is equal to 6,785,629 years, 5 weeks, 4 days, 8 hours, 46 minutes, 56 seconds.
-
To count from 1 to 213,405,321,199,616 would take you about sixteen million, nine hundred sixty-four thousand and 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 213405321199616 cubic inches would be around 4979.9 feet tall.
Recreational maths with 213405321199616
- 213405321199616 backwards is 616991123504312
- The number of decimal digits it has is: 15
- The sum of 213405321199616's digits is 53
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 213405321199616 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
APA style:
Numbermatics. (2024). Number 213405321199616 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/213405321199616/
Chicago style:
Numbermatics. 2024. "Number 213405321199616 - Facts about the integer". https://numbermatics.com/n/213405321199616/
The information we have on file for 213405321199616 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!
Keywords: Divisors of 213405321199616, math, Factors of 213405321199616, curriculum, school, college, exams, university, Prime factorization of 213405321199616, STEM, science, technology, engineering, physics, economics, calculator, two hundred thirteen trillion, four hundred five billion, three hundred twenty-one million, one hundred ninety-nine thousand, six hundred sixteen.