213382731465984
213,382,731,465,984 is an even composite number composed of seven prime numbers multiplied together.
What does the number 213382731465984 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 864 divisors.
213382731465984 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 213382731465984:
28 × 3 × 17 × 37 × 41 × 67 × 4012
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 17 × 37 × 41 × 67 × 401 × 401)See below for interesting mathematical facts about the number 213382731465984 from the Numbermatics database.
Names of 213382731465984
- Cardinal: 213382731465984 can be written as Two hundred thirteen trillion, three hundred eighty-two billion, seven hundred thirty-one million, four hundred sixty-five thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 2.13382731465984 × 1014
Factors of 213382731465984
Divisors of 213382731465984
- Number of divisors d(n): 864
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Complete list of divisors:
1 2 3 4 6 8 12 16 17 24 32 34 37 41 48 51 64 67 68 74 82 96 102 111 123 128 134 136 148 164 192 201 204 222 246 256 268 272 296 328 384 401 402 408 444 492 536 544 592 629 656 697 768 802 804 816 888 984 1072 1088 1139 1184 1203 1258 1312 1394 1517 1604 1608 1632 1776 1887 1968 2091 2144 2176 2278 2368 2406 2479 2516 2624 2747 2788 3034 3208 3216 3264 3417 3552 3774 3936 4182 4288 4352 4551 4556 4736 4812 4958 5032 5248 5494 5576 6068 6416 6432 6528 6817 6834 7104 7437 7548 7872 8241 8364 8576 9102 9112 9472 9624 9916 10064 10496 10988 11152 12136 12832 12864 13056 13634 13668 14208 14837 14874 15096 15744 16441 16482 16728 17152 18204 18224 19248 19832 20128 20451 21976 22304 24272 25664 25728 25789 26867 27268 27336 28416 29674 29748 30192 31488 32882 32964 33456 36408 36448 38496 39664 40256 40902 42143 43952 44511 44608 46699 48544 49323 51328 51456 51578 53734 54536 54672 59348 59496 60384 65764 65928 66912 72816 72896 76992 77367 79328 80512 80601 81804 84286 87904 89022 89216 93398 97088 98646 101639 102656 103156 107468 109072 109344 118696 118992 120768 126429 131528 131856 133824 140097 145632 145792 153984 154734 158656 160801 161024 161202 163608 168572 175808 178044 178432 186796 194176 197292 203278 206312 214936 218144 218688 237392 237984 241536 252229 252858 263056 263712 267648 279497 280194 291264 291584 304917 307968 309468 317312 321602 322404 327216 337144 351616 356088 373592 388352 394584 406556 412624 429872 436288 437376 456739 474784 475968 482403 483072 504458 505716 526112 527424 535296 558994 560388 582528 608317 609834 618936 634624 643204 644808 654432 674288 703232 712176 747184 756687 789168 813112 825248 838491 859744 872576 874752 913478 949568 951936 964806 994079 1008916 1011432 1052224 1054848 1101547 1117988 1120776 1165056 1216634 1219668 1237872 1286408 1289616 1308864 1348576 1370217 1424352 1494368 1513374 1578336 1626224 1650496 1676982 1719488 1727863 1745152 1824951 1826956 1899136 1903872 1929612 1988158 2017832 2022864 2104448 2109696 2203094 2235976 2241552 2433268 2439336 2475744 2572816 2579232 2617728 2697152 2733617 2740434 2848704 2982237 2988736 3026748 3156672 3252448 3300992 3304641 3353964 3438976 3455726 3649902 3653912 3798272 3859224 3976316 4035664 4045728 4208896 4406188 4471952 4483104 4866536 4878672 4951488 5145632 5158464 5183589 5235456 5394304 5467234 5480868 5697408 5949637 5964474 5977472 6053496 6313344 6504896 6592841 6601984 6609282 6707928 6877952 6911452 7299804 7307824 7718448 7952632 8071328 8091456 8200851 8812376 8943904 8966208 9733072 9757344 9902976 10291264 10316928 10341389 10367178 10773667 10788608 10934468 10961736 11394816 11899274 11928948 11954944 12106992 12626688 13009792 13185682 13218564 13415856 13822904 14599608 14615648 15436896 15905264 16142656 16182912 16401702 16899343 17624752 17848911 17887808 17932416 18726299 19466144 19514688 19778523 19805952 20582528 20633856 20682778 20734356 21547334 21868936 21923472 23798548 23857896 24213984 26019584 26371364 26437128 26831712 27645808 29199216 29231296 30873792 31024167 31810528 32285312 32321001 32365824 32803404 33798686 35249504 35697822 35775616 35864832 37452598 38932288 39029376 39557046 40757239 41165056 41365556 41468712 43094668 43737872 43846944 47597096 47715792 48427968 50698029 52742728 52874256 53663424 55291616 56178897 58398432 58462592 61747584 62048334 63621056 64570624 64642002 65606808 67597372 70499008 71395644 71551232 74905196 77864576 78058752 79114092 81514478 82731112 82937424 86189336 87475744 87693888 95194192 95431584 96855936 101143829 101396058 105485456 105748512 107326848 110583232 112078297 112357794 116796864 116925184 122271717 123495168 124096668 127242112 129284004 131213616 135194744 140998016 142791288 149810392 155729152 158228184 163028956 165462224 165874848 172378672 174951488 175387776 183152339 190388384 190863168 193711872 202287658 202792116 210970912 211497024 214653696 221166464 224156594 224715588 233593728 243935117 244543434 248193336 254484224 258568008 262427232 270389488 281996032 285582576 299620784 303431487 316456368 326057912 330924448 331749696 336234891 344757344 349902976 350775552 366304678 380776768 381726336 398625679 404575316 405584232 421941824 422994048 441720347 442332928 448313188 449431176 467187456 487870234 489086868 496386672 517136016 524854464 540778976 549457017 571165152 599241568 606862974 632912736 652115824 661848896 663499392 672469782 689514688 692873063 699805952 731805351 732609356 761553536 763452672 797251358 809150632 811168464 843883648 845988096 883440694 896626376 898862352 975740468 978173736 992773344 1034272032 1049708928 1081557952 1098914034 1142330304 1195877037 1198483136 1213725948 1265825472 1304231648 1323697792 1325161041 1326998784 1344939564 1379029376 1385746126 1463610702 1465218712 1523107072 1594502716 1618301264 1622336928 1687767296 1766881388 1793252752 1797724704 1951480936 1956347472 1985546688 2068544064 2078619189 2099417856 2163115904 2197828068 2284660608 2391754074 2396966272 2427451896 2531650944 2608463296 2647395584 2650322082 2689879128 2758058752 2771492252 2927221404 2930437424 3189005432 3236602528 3244673856 3533762776 3586505504 3595449408 3902961872 3912694944 3971093376 4137088128 4146896989 4157238378 4326231808 4395656136 4569321216 4783508148 4793932544 4854903792 5063301888 5216926592 5300644164 5379758256 5542984504 5854442808 5860874848 6378010864 6473205056 6489347712 6776636543 7067525552 7173011008 7190898816 7509245899 7805923744 7825389888 7942186752 8274176256 8293793978 8314476756 8791312272 9567016296 9709807584 10433853184 10601288328 10759516512 11085969008 11708885616 11721749696 12440690967 12756021728 12946410112 12978695424 13553273086 14135051104 14346022016 14381797632 15018491798 15611847488 15650779776 16343652839 16587587956 16628953512 17582624544 19134032592 19419615168 20329909629 21202576656 21519033024 22171938016 22527737697 23417771232 23443499392 24881381934 25512043456 25892820224 27106546172 28270102208 28692044032 30036983596 31223694976 31301559552 32687305678 33175175912 33257907024 35165249088 38268065184 38839230336 40659819258 42405153312 43038066048 44343876032 45055475394 46835542464 46886998784 49030958517 49762763868 51024086912 54213092344 56540204416 60073967192 62447389952 65374611356 66350351824 66515814048 70330498176 76536130368 77678460672 81319638516 84810306624 86076132096 88687752064 90110950788 93671084928 98061917034 99525527736 102048173824 108426184688 113080408832 120147934384 130749222712 132700703648 133031628096 140660996352 153072260736 162639277032 169620613248 177375504128 180221901576 187342169856 196123834068 199051055472 216852369376 240295868768 261498445424 265401407296 266063256192 277842098263 306144521472 325278554064 339241226496 360443803152 392247668136 398102110944 433704738752 480591737536 522996890848 530802814592 532126512384 555684196526 650557108128 720887606304 784495336272 796204221888 833526294789 867409477504 961183475072 1045993781696 1061605629184 1111368393052 1301114216256 1441775212608 1568990672544 1592408443776 1667052589578 1734818955008 1922366950144 2091987563392 2222736786104 2602228432512 2883550425216 3137981345088 3184816887552 3334105179156 4183975126784 4445473572208 5204456865024 5767100850432 6275962690176 6668210358312 8890947144416 12551925380352 13336420716624 17781894288832 26672841433248 35563788577664 53345682866496 71127577155328 106691365732992 213382731465984
- Sum of all divisors σ(n): 643677481657728
- Sum of proper divisors (its aliquot sum) s(n): 430294750191744
- 213382731465984 is an abundant number, because the sum of its proper divisors (430294750191744) is greater than itself. Its abundance is 216912018725760
Bases of 213382731465984
- Binary: 1100001000010010000010011110100100000101000000002
- Hexadecimal: 0xC21209E90500
- Base-36: 23MYO8XP1C
Squares and roots of 213382731465984
- 213382731465984 squared (2133827314659842) is 45532190087884238261749088256
- 213382731465984 cubed (2133827314659843) is 9715783090581140838059362170988194277883904
-
The
square root of 213382731465984 is 14607625.7983966717 -
The
cube root of 213382731465984 is 59756.6748695485
Scales and comparisons
How big is 213382731465984?- 213,382,731,465,984 seconds is equal to 6,784,910 years, 42 weeks, 6 days, 2 hours, 46 minutes, 24 seconds.
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To count from 1 to 213,382,731,465,984 would take you about sixteen million, nine hundred sixty-two thousand, two hundred seventy-seven 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 213382731465984 cubic inches would be around 4979.7 feet tall.
Recreational maths with 213382731465984
- 213382731465984 backwards is 489564137283312
- The number of decimal digits it has is: 15
- The sum of 213382731465984's digits is 66
- More coming soon!
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The information we have on file for 213382731465984 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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