13188324022272
13,188,324,022,272 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13188324022272 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
13188324022272 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13188324022272:
211 × 32 × 7 × 17 × 61 × 241 × 409
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 17 × 61 × 241 × 409)See below for interesting mathematical facts about the number 13188324022272 from the Numbermatics database.
Names of 13188324022272
- Cardinal: 13188324022272 can be written as Thirteen trillion, one hundred eighty-eight billion, three hundred twenty-four million, twenty-two thousand, two hundred seventy-two.
Scientific notation
- Scientific notation: 1.3188324022272 × 1013
Factors of 13188324022272
Divisors of 13188324022272
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 61 63 64 68 72 84 96 102 112 119 122 126 128 136 144 153 168 183 192 204 224 238 241 244 252 256 272 288 306 336 357 366 384 408 409 427 448 476 482 488 504 512 544 549 576 612 672 714 723 732 768 816 818 854 896 952 964 976 1008 1024 1037 1071 1088 1098 1152 1224 1227 1281 1344 1428 1446 1464 1536 1632 1636 1687 1708 1792 1904 1928 1952 2016 2048 2074 2142 2169 2176 2196 2304 2448 2454 2562 2688 2856 2863 2892 2928 3072 3111 3264 3272 3374 3416 3584 3681 3808 3843 3856 3904 4032 4097 4148 4284 4338 4352 4392 4608 4896 4908 5061 5124 5376 5712 5726 5784 5856 6144 6222 6528 6544 6748 6832 6953 7168 7259 7362 7616 7686 7712 7808 8064 8194 8296 8568 8589 8676 8704 8784 9216 9333 9792 9816 10122 10248 10752 11424 11452 11568 11712 12291 12444 13056 13088 13496 13664 13906 14336 14518 14701 14724 15183 15232 15372 15424 15616 16128 16388 16592 17136 17178 17352 17408 17568 18432 18666 19584 19632 20244 20496 20859 21504 21777 22848 22904 23136 23424 24582 24888 24949 25767 26112 26176 26992 27328 27812 28679 29036 29402 29448 30366 30464 30744 30848 31232 32256 32776 33184 34272 34356 34704 34816 35136 36873 37332 39168 39264 40488 40992 41718 43008 43554 44103 45696 45808 46272 46848 48671 49164 49776 49898 51534 52224 52352 53984 54656 55624 57358 58072 58804 58896 60732 60928 61488 61696 62464 62577 64512 65331 65552 66368 68544 68712 69408 70272 73746 74664 74847 78336 78528 80976 81984 83436 86037 87108 88206 91392 91616 92544 93696 97342 98328 98569 99552 99796 102907 103068 104448 104704 107968 109312 111248 114716 116144 117608 117792 121464 121856 122976 123392 124928 125154 129024 130662 131104 132309 132736 137088 137424 138816 140544 146013 147492 149328 149694 156672 157056 161952 163968 166872 172074 174216 174643 176412 182784 183232 185088 187392 194684 196656 197138 199104 199592 205814 206136 209408 215936 218624 222496 224541 229432 232288 235216 235584 242928 243712 245952 246784 249917 250308 258111 261324 262208 264618 265472 274176 274848 277632 281088 292026 294984 295707 298656 299388 308721 313344 314112 323904 327936 333744 344148 348432 349286 352824 365568 366464 370176 374784 389368 393312 394276 398208 399184 411628 412272 418816 424133 431872 437248 438039 444992 449082 458864 464576 470432 471168 485856 491904 493568 499834 500616 516222 522648 523929 524416 529236 530944 548352 549696 555264 562176 584052 589968 591414 597312 598776 617442 628224 647808 655872 667488 688296 689983 696864 698572 705648 731136 732928 740352 749751 778736 786624 788552 796416 798368 823256 824544 837632 848266 863744 874496 876078 887121 889984 898164 917728 926163 929152 940864 942336 971712 983808 999668 1001232 1032444 1045296 1047858 1048832 1058472 1061888 1096704 1099392 1110528 1124352 1168104 1179936 1182828 1194624 1197552 1234884 1256448 1272399 1295616 1311744 1334976 1376592 1379966 1393728 1397144 1411296 1465856 1480704 1499502 1557472 1571787 1573248 1577104 1592832 1596736 1646512 1649088 1675673 1696532 1727488 1749419 1752156 1774242 1779968 1796328 1835456 1852326 1858304 1881728 1884672 1943424 1967616 1999336 2002464 2064888 2069949 2090592 2095716 2097664 2116944 2123776 2193408 2198784 2221056 2249253 2336208 2359872 2365656 2389248 2395104 2469768 2512896 2544798 2591232 2623488 2669952 2753184 2759932 2787456 2794288 2822592 2931712 2968931 2999004 3114944 3143574 3146496 3154208 3185664 3193472 3293024 3298176 3351346 3393064 3454976 3498838 3504312 3548484 3559936 3592656 3670912 3704652 3716608 3763456 3769344 3817197 3886848 3935232 3998672 4004928 4129776 4139898 4181184 4191432 4195328 4233888 4397568 4442112 4498506 4672416 4719744 4731312 4778496 4790208 4939536 5027019 5089596 5182464 5248257 5339904 5506368 5519864 5574912 5588576 5645184 5863424 5937862 5998008 6012709 6209847 6229888 6287148 6292992 6308416 6371328 6386944 6586048 6596352 6702692 6786128 6997676 7008624 7096968 7119872 7185312 7341824 7409304 7433216 7526912 7538688 7634394 7773696 7870464 7997344 8009856 8259552 8279796 8362368 8382864 8390656 8467776 8795136 8906793 8997012 9344832 9439488 9462624 9556992 9580416 9879072 10054038 10179192 10364928 10496514 10679808 11012736 11039728 11149824 11177152 11290368 11729711 11875724 11996016 12025418 12419694 12459776 12574296 12585984 12616832 12773888 13172096 13192704 13405384 13572256 13995352 14017248 14193936 14239744 14370624 14683648 14818608 14866432 15053824 15081057 15268788 15547392 15744771 15994688 16019712 16519104 16559592 16724736 16765728 16935552 17590272 17813586 17994024 18038127 18689664 18878976 18925248 19113984 19160832 19758144 20108076 20358384 20993028 21359616 22025472 22079456 22299648 22354304 22580736 23459422 23751448 23992032 24050836 24839388 24919552 25148592 25171968 25233664 25547776 26344192 26385408 26720379 26810768 27144512 27990704 28034496 28387872 28741248 29367296 29637216 30107648 30162114 30537576 31094784 31489542 31989376 32039424 33038208 33119184 33449472 33531456 33871104 35189133 35627172 35988048 36076254 37379328 37757952 37850496 38321664 39516288 40216152 40716768 41986056 42088963 42719232 44050944 44158912 44599296 44708608 45161472 46918844 47502896 47984064 48101672 49678776 49839104 50297184 50467328 51095552 52688384 52770816 53440758 53621536 54114381 54289024 55981408 56068992 56775744 57482496 58734592 59274432 60324228 61075152 62979084 63978752 64078848 66076416 66238368 66898944 67062912 67742208 70378266 71254344 71976096 72152508 74758656 75515904 75700992 76643328 79032576 80432304 81433536 83972112 84177926 88101888 88317824 89417216 90322944 93837688 95005792 95968128 96203344 99357552 99678208 100594368 100934656 102216053 105376768 105567399 106881516 107243072 108228762 108578048 111962816 112137984 113551488 114964992 118548864 120648456 122150304 125958168 126266889 127957504 128157696 132152832 132476736 133797888 134125824 135484416 140756532 142508688 143952192 144305016 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844539192 855052128 857944576 865830096 868624384 895702528 897103872 908411904 919944477 948390912 965187648 977202432 1007665344 1010135112 1059813888 1073006592 1126052256 1140069504 1151617536 1154440128 1226592636 1286916864 1302936576 1343553792 1346846816 1413085184 1431024742 1501403008 1515202668 1520092672 1535490048 1539253504 1589720832 1609509888 1635456848 1689078384 1710104256 1715889152 1731660192 1791405056 1816823808 1839888954 1896781824 1930375296 1954404864 2015330688 2020270224 2119627776 2146537113 2252104512 2280139008 2303235072 2308880256 2453185272 2573833728 2605873152 2687107584 2693693632 2862049484 3002806016 3030405336 3040185344 3078507008 3179441664 3219019776 3270913696 3378156768 3420208512 3431778304 3463320384 3582810112 3679777908 3860750592 3908809728 4030661376 4040540448 4239255552 4293074226 4504209024 4560278016 4606470144 4617760512 4906370544 5147667456 5374215168 5387387264 5724098968 6005612032 6060810672 6080370688 6157014016 6358883328 6439611339 6541827392 6756313536 6840417024 6926640768 7359555816 7721501184 7817619456 8061322752 8081080896 8586148452 9008418048 9120556032 9235521024 9812741088 10295334912 10748430336 10774774528 11448197936 12011224064 12121621344 12314028032 12717766656 12879222678 13083654784 13512627072 13680834048 13853281536 14719111632 15443002368 16122645504 16162161792 17172296904 18016836096 18241112064 18471042048 19625482176 21549549056 22896395872 24022448128 24243242688 25758445356 26167309568 27025254144 27361668096 27706563072 29438223264 30886004736 32245291008 32324323584 34344593808 36033672192 36942084096 39250964352 43099098112 45792791744 48486485376 51516890712 52334619136 54050508288 54723336192 55413126144 58876446528 64648647168 68689187616 72067344384 78501928704 86198196224 91585583488 96972970752 103033781424 104669238272 108101016576 110826252288 117752893056 129297294336 137378375232 157003857408 183171166976 193945941504 206067562848 209338476544 216202033152 235505786112 258594588672 274756750464 314007714816 366342333952 387891883008 412135125696 471011572224 549513500928 628015429632 732684667904 775783766016 824270251392 942023144448 1099027001856 1465369335808 1648540502784 1884046288896 2198054003712 3297081005568 4396108007424 6594162011136 13188324022272
- Sum of all divisors σ(n): 47157487977600
- Sum of proper divisors (its aliquot sum) s(n): 33969163955328
- 13188324022272 is an abundant number, because the sum of its proper divisors (33969163955328) is greater than itself. Its abundance is 20780839933056
Bases of 13188324022272
- Binary: 101111111110101001010101111001011000000000002
- Hexadecimal: 0xBFEA55E5800
- Base-36: 4OAMRLZ40
Squares and roots of 13188324022272
- 13188324022272 squared (131883240222722) is 173931890516436704752041984
- 13188324022272 cubed (131883240222723) is 2293870129937105653344347634832295067648
-
The
square root of 13188324022272 is 3631573.2158765573 -
The
cube root of 13188324022272 is 23626.3447199401
Scales and comparisons
How big is 13188324022272?- 13,188,324,022,272 seconds is equal to 419,347 years, 47 weeks, 2 days, 3 hours, 31 minutes, 12 seconds.
-
To count from 1 to 13,188,324,022,272 would take you about one million, forty-eight thousand, three hundred sixty-nine 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 13188324022272 cubic inches would be around 1968.9 feet tall.
Recreational maths with 13188324022272
- 13188324022272 backwards is 27222042388131
- The number of decimal digits it has is: 14
- The sum of 13188324022272's digits is 45
- More coming soon!
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The information we have on file for 13188324022272 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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