42288704887968
42,288,704,887,968 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42288704887968 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
42288704887968 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 42288704887968:
25 × 33 × 72 × 11 × 251 × 331 × 1093
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 11 × 251 × 331 × 1093)See below for interesting mathematical facts about the number 42288704887968 from the Numbermatics database.
Names of 42288704887968
- Cardinal: 42288704887968 can be written as Forty-two trillion, two hundred eighty-eight billion, seven hundred four million, eight hundred eighty-seven thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 4.2288704887968 × 1013
Factors of 42288704887968
Divisors of 42288704887968
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 49 54 56 63 66 72 77 84 88 96 98 99 108 112 126 132 144 147 154 168 176 189 196 198 216 224 231 251 252 264 288 294 297 308 331 336 352 378 392 396 432 441 462 502 504 528 539 588 594 616 662 672 693 753 756 784 792 864 882 924 993 1004 1008 1056 1078 1093 1176 1188 1232 1323 1324 1386 1506 1512 1568 1584 1617 1757 1764 1848 1986 2008 2016 2079 2156 2186 2259 2317 2352 2376 2464 2646 2648 2761 2772 2979 3012 3024 3168 3234 3279 3514 3528 3641 3696 3972 4016 4158 4312 4372 4518 4634 4704 4752 4851 5271 5292 5296 5522 5544 5958 6024 6048 6468 6558 6777 6951 7028 7056 7282 7392 7651 7944 8032 8283 8316 8624 8744 8937 9036 9268 9504 9702 9837 10542 10584 10592 10923 11044 11088 11916 12023 12048 12299 12936 13116 13554 13902 14056 14112 14553 14564 15302 15813 15888 16219 16566 16632 17248 17488 17874 18072 18536 19327 19404 19674 20853 21084 21168 21846 22088 22176 22953 23832 24046 24096 24598 24849 25487 25872 26232 27108 27804 28112 29106 29128 29511 30604 31626 31776 32438 32769 33132 33264 34976 35748 36069 36144 36897 37072 38654 38808 39348 41706 42168 42336 43692 44176 45906 47439 47664 48092 48657 49196 49698 50974 51744 52464 53557 54216 55608 56224 57981 58212 58256 59022 61208 62559 63252 64876 65538 66264 66528 68859 71496 72138 72288 73794 74144 74547 76461 77308 77616 78696 83081 83412 84161 84336 87384 88352 91812 94878 95328 96184 97314 98307 98392 99396 101948 104928 107114 108207 108432 110691 111216 115962 116424 116512 118044 122416 125118 126504 129752 131076 132528 135289 137718 142992 144276 145971 147588 149094 152922 154616 155232 157392 160671 166162 166824 168322 168672 173943 174768 178409 183624 189756 192368 194628 196614 196784 198792 203896 206577 214228 216414 216864 221382 222432 229383 231924 232848 236088 244832 249243 250236 252483 253008 259504 262152 265056 270578 274343 275436 285984 288552 291942 295176 298188 305844 309232 314784 321342 324621 332073 332324 333648 336644 347886 349536 356818 361783 367248 379512 384736 389256 393228 393568 397584 405867 407792 413154 428456 432828 437913 442764 458766 463848 465696 472176 482013 498486 500472 504966 506016 519008 521829 524304 535227 541156 548686 550872 577104 581567 583884 589127 590352 596376 611688 618464 642684 649242 664146 664648 667296 673288 688149 695772 713636 723566 734496 747729 757449 759024 778512 786456 795168 811734 815584 823029 826308 856912 865656 875826 885528 913891 917532 927696 944352 964026 996972 1000944 1009932 1043658 1048608 1070454 1082312 1085349 1097372 1101744 1154208 1163134 1167768 1178254 1180704 1192752 1217601 1223376 1285368 1298484 1328292 1329296 1346576 1376298 1391544 1427272 1446039 1447132 1495458 1514898 1518048 1557024 1572912 1605681 1623468 1646058 1652616 1713824 1731312 1744701 1751652 1767381 1771056 1827782 1835064 1855392 1920401 1928052 1993944 2001888 2019864 2087316 2140908 2164624 2170698 2194744 2203488 2243187 2272347 2326268 2335536 2356508 2385504 2435202 2446752 2469087 2532481 2570736 2596968 2656584 2658592 2693152 2741673 2752596 2783088 2854544 2892078 2894264 2990916 3017773 3029796 3145824 3211362 3246936 3256047 3292116 3305232 3462624 3489402 3503304 3534762 3542112 3652803 3655564 3670128 3840802 3856104 3979613 3987888 4039728 4070969 4174632 4281816 4329248 4341396 4389488 4486374 4544694 4652536 4671072 4713016 4817043 4870404 4938174 5064962 5141472 5193936 5234103 5302143 5313168 5483346 5505192 5566176 5709088 5761203 5784156 5788528 5981832 6035546 6059592 6397237 6422724 6493872 6512094 6584232 6610464 6978804 7006608 7069524 7305606 7311128 7340256 7407261 7597443 7681604 7712208 7959226 7975776 8079456 8141938 8225019 8349264 8563632 8682792 8778976 8972748 9053319 9089388 9305072 9426032 9634086 9740808 9768141 9876348 10129924 10387872 10468206 10604286 10626336 10966692 11010384 11522406 11568312 11577056 11938839 11963664 12071092 12119184 12212907 12794474 12845448 12987744 13024188 13168464 13442807 13957608 14013216 14139048 14611212 14622256 14814522 15194886 15363208 15424416 15702309 15906429 15918452 16283876 16450038 16698528 17127264 17283609 17365584 17727367 17945496 18106638 18178776 18610144 18852064 19191711 19268172 19481616 19536282 19752696 20259848 20936412 21124411 21208572 21933384 22020768 22792329 23044812 23136624 23877678 23927328 24142184 24238368 24425814 24675057 25588948 25690896 26048376 26336928 26885614 27159957 27857291 27915216 28278096 29222424 29244512 29629044 30389772 30726416 31404618 31812858 31836904 32567752 32900076 34567218 34731168 35454734 35816517 35890992 36213276 36357552 36638721 38383422 38536344 38963232 39072564 39505392 40328421 40519696 41872824 42248822 42417144 43866768 44780659 45584658 46089624 46273248 47755356 48284368 48851628 49350114 51177896 51381792 51850827 52096752 53182101 53771228 54319914 55714582 55830432 56556192 57575133 58444848 59258088 60779544 61452832 62809236 63373233 63625716 63673808 65135504 65800152 68376987 69134436 70909468 71633034 71781984 72426552 72715104 73277442 76766844 77072688 78145128 79010784 80656842 81039392 81479871 83571873 83745648 84497644 84834288 87733536 89561318 90807533 91169316 92179248 95510712 96568736 97703256 98700228 102355792 103701654 104193504 106364202 107449551 107542456 108639828 109916163 111429164 115150266 116889696 118516176 120985263 121559088 125618472 126746466 127251432 127347616 130271008 131600304 134341977 136753974 138268872 141818936 143266068 144853104 146554884 147870877 153533688 154145376 156290256 159546303 161313684 162959742 167143746 167491296 168995288 169668576 172725399 179122636 181615066 182338632 184358496 190119699 191021424 195001037 195406512 197400456 204711584 207403308 212728404 214899102 215084912 217279656 219832326 222858328 230300532 237032352 241970526 243118176 250715619 251236944 253492932 254502864 263200608 268683954 272422599 273507948 276537744 283637872 286532136 289706208 293109768 295741754 307067376 312580512 319092606 322627368 325919484 334287492 337990576 345450798 358245272 362955789 363230132 364677264 380239398 382042848 390002074 390813024 394800912 403025931 414806616 425456808 429798204 430169824 434559312 439664652 443612631 445716656 460601064 478638909 483941052 501431238 502473888 506985864 509005728 537367908 544845198 547015896 553075488 567275744 570359097 573064272 585003111 586219536 591483508 614134752 635652731 638185212 645254736 651838968 668574984 675981152 690901596 716490544 725911578 726460264 729354528 752146857 760478796 780004148 789601824 806051862 817267797 829613232 850913616 859596408 869118624 879329304 887225262 891433312 921202128 957277818 967882104 998882863 1002862476 1013971728 1074735816 1089690396 1094031792 1140718194 1146128544 1170006222 1172439072 1182967016 1209077793 1271305462 1276370424 1290509472 1303677936 1330837893 1337149968 1381803192 1432981088 1451823156 1452920528 1504293714 1520957592 1560008296 1612103724 1634535594 1659226464 1701827232 1719192816 1755009333 1758658608 1774450524 1842404256 1906958193 1914555636 1935764208 1997765726 2005724952 2027943456 2149471632 2179380792 2188063584 2281436388 2340012444 2365934032 2418155586 2451803391 2542610924 2552740848 2607355872 2661675786 2674299936 2763606384 2903646312 2905841056 2996648589 3008587428 3041915184 3120016592 3224207448 3269071188 3438385632 3510018666 3517317216 3548901048 3813916386 3829111272 3871528416 3992513679 3995531452 4011449904 4298943264 4358761584 4449569117 4562872776 4680024888 4731868064 4836311172 4903606782 5085221848 5105481696 5265027999 5323351572 5527212768 5720874579 5807292624 5993297178 6017174856 6083830368 6240033184 6448414896 6538142376 6992180041 7020037332 7097802096 7627832772 7658222544 7985027358 7991062904 8022899808 8717523168 8899138234 8989945767 9125745552 9360049776 9672622344 9807213564 10170443696 10530055998 10646703144 11441749158 11614585248 11986594356 12034349712 12896829792 13076284752 13348707351 13984360082 14040074664 14195604192 15255665544 15316445088 15970054716 15982125808 17162623737 17798276468 17979891534 18251491104 18720099552 19345244688 19614427128 20340887392 20976540123 21060111996 21293406288 22883498316 23973188712 24068699424 26152569504 26697414702 26969837301 27968720164 28080149328 30511331088 31940109432 31964251616 34325247474 35596552936 35959783068 38690489376 39228854256 40046122053 41953080246 42120223992 42586812576 45766996632 47946377424 48945260287 53394829404 53939674602 55937440328 56160298656 61022662176 62929620369 63880218864 68650494948 71193105872 71919566136 78457708512 80092244106 83906160492 84240447984 91533993264 95892754848 97890520574 106789658808 107879349204 111874880656 120138366159 125859240738 127760437728 137300989896 142386211744 143839132272 146835780861 160184488212 167812320984 168480895968 183067986528 188788861107 195781041148 213579317616 215758698408 223749761312 240276732318 251718481476 274601979792 287678264544 293671561722 320368976424 335624641968 377577722214 391562082296 427158635232 431517396816 440507342583 480553464636 503436962952 549203959584 587343123444 640737952848 671249283936 755155444428 783124164592 863034793632 881014685166 961106929272 1006873925904 1174686246888 1281475905696 1321522027749 1510310888856 1566248329184 1762029370332 1922213858544 2013747851808 2349372493776 2643044055498 3020621777712 3524058740664 3844427717088 4698744987552 5286088110996 6041243555424 7048117481328 10572176221992 14096234962656 21144352443984 42288704887968
- Sum of all divisors σ(n): 157765700090880
- Sum of proper divisors (its aliquot sum) s(n): 115476995202912
- 42288704887968 is an abundant number, because the sum of its proper divisors (115476995202912) is greater than itself. Its abundance is 73188290314944
Bases of 42288704887968
- Binary: 10011001110110000110110011101110011100101000002
- Hexadecimal: 0x26761B3B9CA0
- Base-36: EZN5V10O0
Squares and roots of 42288704887968
- 42288704887968 squared (422887048879682) is 1788334561101648615431169024
- 42288704887968 cubed (422887048879683) is 75626352495381395762287256977089191903232
-
The
square root of 42288704887968 is 6502976.6175166277 -
The
cube root of 42288704887968 is 34839.7311465539
Scales and comparisons
How big is 42288704887968?- 42,288,704,887,968 seconds is equal to 1,344,650 years, 2 days, 20 hours, 52 minutes, 48 seconds.
-
To count from 1 to 42,288,704,887,968 would take you about three million, three hundred sixty-one thousand, six hundred twenty-five 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 42288704887968 cubic inches would be around 2903.3 feet tall.
Recreational maths with 42288704887968
- 42288704887968 backwards is 86978840788224
- The number of decimal digits it has is: 14
- The sum of 42288704887968's digits is 81
- More coming soon!
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The information we have on file for 42288704887968 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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