13338198705267072
13,338,198,705,267,072 is an even composite number composed of six prime numbers multiplied together.
13338198705267072 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 13338198705267072:
27 × 34 × 7 × 132 × 7012 × 2213
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 13 × 13 × 701 × 701 × 2213)See below for interesting mathematical facts about the number 13338198705267072 from the Numbermatics database.
Names of 13338198705267072
- Cardinal: 13338198705267072 can be written as Thirteen quadrillion, three hundred thirty-eight trillion, one hundred ninety-eight billion, seven hundred five million, two hundred sixty-seven thousand and seventy-two.
Scientific notation
- Scientific notation: 1.3338198705267072 × 1016
Factors of 13338198705267072
Divisors of 13338198705267072
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 52 54 56 63 64 72 78 81 84 91 96 104 108 112 117 126 128 144 156 162 168 169 182 189 192 208 216 224 234 252 273 288 312 324 336 338 351 364 378 384 416 432 448 468 504 507 546 567 576 624 648 672 676 701 702 728 756 819 832 864 896 936 1008 1014 1053 1092 1134 1152 1183 1248 1296 1344 1352 1402 1404 1456 1512 1521 1638 1664 1728 1872 2016 2028 2103 2106 2184 2213 2268 2366 2457 2496 2592 2688 2704 2804 2808 2912 3024 3042 3276 3456 3549 3744 4032 4056 4206 4212 4368 4426 4536 4563 4732 4907 4914 4992 5184 5408 5608 5616 5824 6048 6084 6309 6552 6639 7098 7371 7488 8064 8112 8412 8424 8736 8852 9072 9113 9126 9464 9814 9828 10368 10647 10816 11216 11232 11648 12096 12168 12618 13104 13278 13689 14196 14721 14742 14976 15491 16224 16824 16848 17472 17704 18144 18226 18252 18927 18928 19628 19656 19917 21294 21632 22432 22464 24192 24336 25236 26208 26556 27339 27378 28392 28769 29442 29484 30982 31941 32448 33648 33696 34944 35408 36288 36452 36504 37854 37856 39256 39312 39834 42588 44163 44864 44928 46473 48672 50472 52416 53112 54678 54756 56781 56784 57538 58884 58968 59751 61964 63791 63882 64896 67296 67392 70816 72576 72904 73008 75708 75712 78512 78624 79668 82017 85176 86307 88326 89728 92946 95823 97344 100944 104832 106224 109356 109512 113562 113568 115076 117768 117936 118469 119502 123928 127582 127764 132489 134592 134784 139419 141632 145808 146016 151416 151424 157024 157248 159336 164034 170352 172614 176652 179253 185892 191373 191646 194688 201383 201888 212448 218712 219024 227124 227136 230152 235536 235872 236938 239004 246051 247856 255164 255528 258921 264978 269184 278838 283264 291616 292032 302832 314048 314496 318672 328068 340704 345228 353304 355407 358506 371784 373997 382746 383292 397467 402766 403776 418257 424896 437424 438048 454248 454272 460304 471072 471744 473876 478008 491401 492102 495712 510328 511056 517842 529956 557676 574119 583232 584064 604149 605664 628096 637344 656136 681408 690456 706608 710814 717012 738153 743568 747994 765492 766584 776763 794934 805532 807552 829283 836514 849792 874848 876096 908496 920608 942144 943488 947752 956016 982802 984204 991424 1020656 1022112 1035684 1059912 1066221 1115352 1121991 1148238 1166464 1208298 1211328 1254771 1274688 1312272 1362816 1380912 1413216 1421628 1434024 1474203 1476306 1487136 1495988 1530984 1533168 1551313 1553526 1589868 1611064 1658566 1673028 1722357 1749696 1752192 1812447 1816992 1841216 1884288 1895504 1912032 1965604 1968408 1982848 2041312 2044224 2071368 2119824 2132442 2230704 2243982 2296476 2330289 2416596 2422656 2487849 2509542 2549376 2617979 2624544 2761824 2826432 2843256 2868048 2948406 2952612 2974272 2991976 3061968 3066336 3102626 3107052 3179736 3198663 3222128 3317132 3346056 3365973 3439807 3444714 3499392 3624894 3633984 3682432 3791008 3824064 3931208 3936816 4082624 4088448 4142736 4239648 4264884 4422609 4461408 4487964 4592952 4653939 4660578 4833192 4975698 5019084 5167071 5235958 5249088 5437341 5523648 5652864 5686512 5736096 5896812 5905224 5948544 5983952 6123936 6132672 6205252 6214104 6359472 6388213 6397326 6444256 6634264 6692112 6731946 6879614 6889428 7249788 7267968 7463547 7582016 7648128 7853937 7862416 7873632 8165248 8285472 8479296 8529768 8845218 8922816 8975928 9185904 9307878 9321156 9595989 9666384 9951396 10038168 10097919 10319421 10334142 10471916 10498176 10859191 10874682 11047296 11373024 11472192 11793624 11810448 11967904 12247872 12265344 12410504 12428208 12718944 12776426 12794652 12888512 13267827 13268528 13384224 13463892 13759228 13778856 13961817 14499576 14927094 15164032 15707874 15724832 15747264 16312023 16570944 16958592 17059536 17690436 17845632 17951856 18371808 18615756 18642312 19164639 19191978 19332768 19902792 20076336 20167069 20195838 20638842 20668284 20943832 21718382 21749364 22390641 22746048 22944384 23561811 23587248 23620896 23935808 24495744 24821008 24856416 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1759188942 1787112576 1835203279 1839805344 1936038624 1938800448 1981328832 1993122456 2010501648 2069781012 2084964672 2087938944 2097375176 2146439568 2149501536 2174940826 2178043452 2228994936 2242262763 2258711728 2261933856 2325309532 2345585256 2359547073 2414744514 2453073792 2541050694 2547422784 2581384832 2657496608 2680668864 2759708016 2861919424 2866002048 2904057936 2971993248 2989683684 3015911808 3127447008 3146062764 3219659352 3262411239 3267065178 3388067592 3392900784 3487964298 3518377884 3622116771 3670406558 3679610688 3811576041 3872077248 3877600896 3962657664 3986244912 4021003296 4139562024 4169929344 4194750352 4292879136 4299003072 4349881652 4356086904 4457989872 4484525526 4517423456 4523867712 4650619064 4691170512 4719094146 4829489028 5082101388 5094845568 5231946447 5314993216 5361337728 5505609837 5519416032 5723838848 5808115872 5943986496 5979367368 6254894016 6292125528 6439318704 6524822478 6534130356 6726788289 6776135184 6785801568 6975928596 7036755768 7078641219 7244233542 7340813116 7359221376 7612292891 7623152082 7744154496 7972489824 8042006592 8279124048 8389500704 8585758272 8598006144 8699763304 8712173808 8915979744 8969051052 9034846912 9047735424 9301238128 9382341024 9438188292 9658978056 9787233717 10164202776 10463892894 10629986432 11011219674 11038832064 11434728123 11616231744 11887972992 11958734736 12509788032 12584251056 12878637408 13049644956 13068260712 13453576578 13552270368 13571603136 13951857192 14073511536 14137115369 14157282438 14488467084 14681626232 15224585782 15246304164 15695839341 15944979648 16084013184 16516829511 16558248096 16779001408 17171516544 17399526608 17424347616 17831959488 17938102104 18069693824 18602476256 18764682048 18876376584 19317956112 19574467434 20328405552 20927785788 21235923657 22022439348 22077664128 22836878673 22869456246 23232463488 23917469472 25168502112 25757274816 26099289912 26136521424 26907153156 27104540736 27143206272 27903714384 28147023072 28274230738 28314564876 28976934168 29361701151 29363252464 30449171564 30492608328 31391678682 31889959296 33033659022 33116496192 33558002816 34799053216 34848695232 35663918976 35876204208 37204952512 37529364096 37752753168 38635912224 39148934868 40656811104 41855571576 42411346107 42471847314 44044878696 45673757346 45738912492 47087518023 47834938944 49550488533 50337004224 51514549632 52198579824 52273042848 53814306312 54209081472 55807428768 56294046144 56548461476 56629129752 57953868336 58723402302 58726504928 60898343128 60985216656 62783357364 66067318044 66232992384 68510636019 69598106432 69697390464 71752408416 74409905024 75505506336 77271824448 78297869736 81313622208 83711143152 84822692214 84943694628 88085103453 88089757392 91347514692 91477824984 94175036046 95669877888 98959807583 99100977066 100674008448 104397159648 104546085696 107628612624 111614857536 112588092288 113096922952 113258259504 115907736672 117446804604 117453009856 121796686256 121970433312 125566714728 127234038321 132134636088 137021272038 139196212864 143504816832 148651465599 151011012672 154543648896 156595739472 162627244416 167422286304 169645384428 169887389256 176170206906 176179514784 182695029384 182955649968 183782499797 188350072092 197919615166 198201954132 205531908057 208794319296 209092171392 215257225248 223229715072 226193845904 226516519008 231815473344 234893609208 234906019712 243593372512 243940866624 251133429456 254468076642 264269272176 274042544076 287009633664 296879422749 297302931198 302022025344 313191478944 334844572608 339290768856 339774778512 352340413812 352359029568 365390058768 365911299936 367564999594 376700144184 381702114963 395839230332 396403908264 411063816114 417588638592 430514450496 452387691808 453033038016 463630946688 469787218416 487186745024 487881733248 502266858912 508936153284 528538544352 548085088152 551347499391 593758845498 594605862396 616595724171 626382957888 669689145216 678581537712 679549557024 704680827624 704718059136 730780117536 731822599872 735129999188 753400288368 763404229926 791678460664 792807816528 822127632228 861028900992 890638268247 904775383616 906066076032 939574436832 974373490048 1004533717824 1017872306568 1057077088704 1096170176304 1102694998782 1145106344889 1187517690996 1189211724792 1233191448342 1252765915776 1286477498579 1357163075424 1359099114048 1409361655248 1461560235072 1463645199744 1470259998376 1506800576736 1526808459852 1583356921328 1585615633056 1644255264456 1654042498173 1781276536494 1809550767232 1879148873664 2009067435648 2035744613136 2114154177408 2192340352608 2205389997564 2290212689778 2375035381992 2378423449584 2466382896684 2572954997158 2671914804741 2714326150848 2718198228096 2818723310496 2923120470144 2940519996752 3013601153472 3053616919704 3166713842656 3171231266112 3288510528912 3308084996346 3562553072988 3758297747328 3859432495737 4071489226272 4384680705216 4410779995128 4580425379556 4750070763984 4756846899168 4932765793368 4962127494519 5145909994316 5343829609482 5428652301696 5637446620992 5881039993504 6027202306944 6107233839408 6333427685312 6342462532224 6577021057824 6616169992692 7125106145976 7718864991474 8015744414223 8142978452544 8769361410432 8821559990256 9160850759112 9500141527968 9513693798336 9865531586736 9924254989038 10291819988632 10687659218964 11274893241984 11578297487211 11762079987008 12214467678816 12666855370624 13154042115648 13232339985384 14250212291952 14886382483557 15437729982948 16031488828446 16285956905088 17643119980512 18321701518224 19000283055936 19027387596672 19731063173472 19848509978076 20583639977264 21375318437928 23156594974422 23524159974016 24428935357632 26308084231296 26464679970768 28500424583904 29772764967114 30875459965896 32062977656892 34734892461633 35286239961024 36643403036448 38000566111872 39462126346944 39697019956152 41167279954528 42750636875856 46313189948844 48857870715264 52929359941536 57000849167808 59545529934228 61750919931792 64125955313784 69469784923266 70572479922048 73286806072896 78924252693888 79394039912304 82334559909056 85501273751712 92626379897688 104204677384899 105858719883072 114001698335616 119091059868456 123501839863584 128251910627568 138939569846532 146573612145792 158788079824608 164669119818112 171002547503424 185252759795376 208409354769798 211717439766144 238182119736912 247003679727168 256503821255136 277879139693064 317576159649216 342005095006848 370505519590752 416818709539596 476364239473824 494007359454336 513007642510272 555758279386128 635152319298432 741011039181504 833637419079192 952728478947648 1026015285020544 1111516558772256 1482022078363008 1667274838158384 1905456957895296 2223033117544512 3334549676316768 4446066235089024 6669099352633536 13338198705267072
- Sum of all divisors σ(n): 49215313584732240
- Sum of proper divisors (its aliquot sum) s(n): 35877114879465168
- 13338198705267072 is an abundant number, because the sum of its proper divisors (35877114879465168) is greater than itself. Its abundance is 22538916174198096
Bases of 13338198705267072
- Binary: 1011110110001100000101011000111100010101100001100000002
- Hexadecimal: 0x2F630563C56180
- Base-36: 3NBZVW71400
Squares and roots of 13338198705267072
- 13338198705267072 squared (133381987052670722) is 177907544701188195834154847453184
- 13338198705267072 cubed (133381987052670723) is 2372966182390632129414846314907350780345736757248
-
The
square root of 13338198705267072 is 115491119.5948289005 -
The
cube root of 13338198705267072 is 237155.0594732141
Scales and comparisons
How big is 13338198705267072?- 13,338,198,705,267,072 seconds is equal to 424,113,461 years, 3 weeks, 4 days, 11 hours, 31 minutes, 12 seconds.
-
To count from 1 to 13,338,198,705,267,072 would take you about one billion, two hundred seventy-two million, three hundred forty thousand, three hundred eighty-three 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 13338198705267072 cubic inches would be around 19762.9 feet tall.
Recreational maths with 13338198705267072
- 13338198705267072 backwards is 27076250789183331
- 13338198705267072 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13338198705267072's digits is 72
- More coming soon!
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"Number 13338198705267072 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 13338198705267072 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/13338198705267072/
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The information we have on file for 13338198705267072 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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