213988172649568416
213,988,172,649,568,416 is an even composite number composed of seven prime numbers multiplied together.
213988172649568416 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 213988172649568416:
25 × 32 × 11 × 19 × 31 × 43 × 2666986681
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 19 × 31 × 43 × 2666986681)See below for interesting mathematical facts about the number 213988172649568416 from the Numbermatics database.
Names of 213988172649568416
- Cardinal: 213988172649568416 can be written as Two hundred thirteen quadrillion, nine hundred eighty-eight trillion, one hundred seventy-two billion, six hundred forty-nine million, five hundred sixty-eight thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 2.13988172649568416 × 1017
Factors of 213988172649568416
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 2666986790
Divisors of 213988172649568416
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 19 22 24 31 32 33 36 38 43 44 48 57 62 66 72 76 86 88 93 96 99 114 124 129 132 144 152 171 172 176 186 198 209 228 248 258 264 279 288 304 341 342 344 352 372 387 396 418 456 473 496 516 528 558 589 608 627 682 684 688 744 774 792 817 836 912 946 992 1023 1032 1056 1116 1178 1254 1333 1364 1368 1376 1419 1488 1548 1584 1634 1672 1767 1824 1881 1892 2046 2064 2232 2356 2451 2508 2666 2728 2736 2838 2976 3069 3096 3168 3268 3344 3534 3762 3784 3999 4092 4128 4257 4464 4712 4902 5016 5301 5332 5456 5472 5676 6138 6192 6479 6536 6688 7068 7353 7524 7568 7998 8184 8514 8928 8987 9424 9804 10032 10602 10664 10912 11352 11997 12276 12384 12958 13072 14136 14663 14706 15048 15136 15996 16368 17028 17974 18848 19437 19608 20064 21204 21328 22704 23994 24552 25327 25916 26144 26961 28272 29326 29412 30096 31992 32736 34056 35948 38874 39216 42408 42656 43989 45408 47988 49104 50654 51832 53922 56544 58311 58652 58824 60192 63984 68112 71896 75981 77748 78432 80883 84816 87978 95976 98208 101308 103664 107844 116622 117304 117648 127968 131967 136224 143792 151962 155496 161766 169632 175956 191952 202616 207328 215688 227943 233244 234608 235296 263934 278597 287584 303924 310992 323532 351912 383904 405232 431376 455886 466488 469216 527868 557194 607848 621984 647064 703824 810464 835791 862752 911772 932976 1055736 1114388 1215696 1294128 1407648 1671582 1823544 1865952 2111472 2228776 2431392 2507373 2588256 3343164 3647088 4222944 4457552 5014746 6686328 7294176 8915104 10029492 13372656 20058984 26745312 40117968 80235936 2666986681 5333973362 8000960043 10667946724 16001920086 21335893448 24002880129 29336853491 32003840172 42671786896 48005760258 50672746939 58673706982 64007680344 82676587111 85343573792 88010560473 96011520516 101345493878 114680427283 117347413964 128015360688 152018240817 165353174222 176021120946 192023041032 202690987756 229360854566 234694827928 248029761333 256030721376 264031681419 304036481634 330706348444 344041281849 352042241892 384046082064 405381975512 456054722451 458721709132 469389655856 496059522666 528063362838 557400216329 608072963268 661412696888 688082563698 704084483784 744089283999 768092164128 810763951024 909442458221 912109444902 917443418264 938779311712 992119045332 1032123845547 1056126725676 1114800432658 1216145926536 1261484700113 1322825393776 1376165127396 1408168967568 1488178567998 1570855155109 1621527902048 1672200648987 1818884916442 1824218889804 1834886836528 1984238090664 2064247691094 2112253451352 2178928118377 2229600865316 2432291853072 2522969400226 2645650787552 2728327374663 2752330254792 2816337935136 2976357135996 3141710310218 3344401297974 3555093245773 3637769832884 3648437779608 3669773673056 3784454100339 3968476181328 4128495382188 4224506902704 4357856236754 4459201730632 4712565465327 4864583706144 5016601946961 5045938800452 5456654749326 5504660509584 5952714271992 6283420620436 6536784355131 6688802595948 7110186491546 7275539665768 7296875559216 7568908200678 7936952362656 8184982123989 8256990764376 8449013805408 8715712473508 8918403461264 9425130930654 10033203893922 10091877600904 10665279737319 10913309498652 11009321019168 11353362301017 11905428543984 12566841240872 13073568710262 13377605191896 14137696395981 14220372983092 14551079331536 14593751118432 15137816401356 16369964247978 16513981528752 17279406706199 17431424947016 17836806922528 18850261861308 19610353065393 20066407787844 20183755201808 21330559474638 21826618997304 22706724602034 23810857087968 23968209302147 25133682481744 26147137420524 26755210383792 28275392791962 28440745966184 29102158663072 30275632802712 31995839211957 32739928495956 33027963057504 34558813412398 34862849894032 37700523722616 39106025703503 39220706130786 40132815575688 40367510403616 42661118949276 43653237994608 45413449204068 47936418604294 50267364963488 51838220118597 52294274841048 53510420767584 56550785583924 56881491932368 60551265605424 63991678423914 65479856991912 67546771669687 69117626824796 69725699788064 71904627906441 75401047445232 78212051407006 78441412261572 80265631151376 85322237898552 87306475989216 90826898408136 95872837208588 103676440237194 104588549682096 113101571167848 113762983864736 117318077110509 121102531210848 127983356847828 130959713983824 135093543339374 138235253649592 143809255812882 150802094890464 155514660355791 156424102814012 156882824523144 160531262302752 170644475797104 181653796816272 191745674417176 202640315009061 207352880474388 209177099364192 215713883719323 226203142335696 234636154221018 255966713695656 261919427967648 270187086678748 276470507299184 287618511625764 311029320711582 312848205628024 313765649046288 341288951594208 351954231331527 363307593632544 383491348834352 405280630018122 414705760948776 431427767438646 452406284671392 469272308442036 511933427391312 540374173357496 552941014598368 575237023251528 607920945027183 622058641423164 625696411256048 627531298092576 703908462663054 743014488366557 766982697668704 810561260036244 829411521897552 862855534877292 938544616884072 1023866854782624 1080748346714992 1150474046503056 1215841890054366 1244117282846328 1251392822512096 1407816925326108 1486028976733114 1621122520072488 1658823043795104 1725711069754584 1877089233768144 2161496693429984 2229043465099671 2300948093006112 2431683780108732 2488234565692656 2815633850652216 2972057953466228 3242245040144976 3451422139509168 3754178467536288 4458086930199342 4863367560217464 4976469131385312 5631267701304432 5944115906932456 6484490080289952 6687130395299013 6902844279018336 8916173860398684 9726735120434928 11262535402608864 11888231813864912 13374260790598026 17832347720797368 19453470240869856 23776463627729824 26748521581196052 35664695441594736 53497043162392104 71329390883189472 106994086324784208 213988172649568416
- Sum of all divisors σ(n): 738105846317199360
- Sum of proper divisors (its aliquot sum) s(n): 524117673667630944
- 213988172649568416 is an abundant number, because the sum of its proper divisors (524117673667630944) is greater than itself. Its abundance is 310129501018062528
Bases of 213988172649568416
- Binary: 10111110000011110100011011111110001110100110011000101000002
- Hexadecimal: 0x2F83D1BF8E998A0
- Base-36: 1MJ0H5EGNVS0
Squares and roots of 213988172649568416
- 213988172649568416 squared (2139881726495684162) is 45790938033901500279490231064749056
- 213988172649568416 cubed (2139881726495684163) is 9798719153784203158701155473975290812368669743415296
-
The
square root of 213988172649568416 is 462588556.5484390751 -
The
cube root of 213988172649568416 is 598131.3833924281
Scales and comparisons
How big is 213988172649568416?- 213,988,172,649,568,416 seconds is equal to 6,804,161,981 years, 19 weeks, 4 days, 20 hours, 33 minutes, 36 seconds.
-
To count from 1 to 213,988,172,649,568,416 would take you about twenty billion, four hundred twelve million, four hundred eighty-five thousand, nine hundred forty-four 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 213988172649568416 cubic inches would be around 49844.3 feet tall.
Recreational maths with 213988172649568416
- 213988172649568416 backwards is 614865946271889312
- The number of decimal digits it has is: 18
- The sum of 213988172649568416's digits is 90
- More coming soon!
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The information we have on file for 213988172649568416 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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