13431222336896
13,431,222,336,896 is an even composite number composed of six prime numbers multiplied together.
13431222336896 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13431222336896:
27 × 72 × 133 × 19 × 292 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 13 × 13 × 13 × 19 × 29 × 29 × 61)See below for interesting mathematical facts about the number 13431222336896 from the Numbermatics database.
Names of 13431222336896
- Cardinal: 13431222336896 can be written as Thirteen trillion, four hundred thirty-one billion, two hundred twenty-two million, three hundred thirty-six thousand, eight hundred ninety-six.
Scientific notation
- Scientific notation: 1.3431222336896 × 1013
Factors of 13431222336896
Divisors of 13431222336896
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 7 8 13 14 16 19 26 28 29 32 38 49 52 56 58 61 64 76 91 98 104 112 116 122 128 133 152 169 182 196 203 208 224 232 244 247 266 304 338 364 377 392 406 416 427 448 464 488 494 532 551 608 637 676 728 754 784 793 812 832 841 854 896 928 931 976 988 1064 1102 1159 1183 1216 1274 1352 1421 1456 1508 1568 1586 1624 1664 1682 1708 1729 1769 1856 1862 1952 1976 2128 2197 2204 2318 2366 2432 2548 2639 2704 2842 2912 2989 3016 3136 3172 3211 3248 3364 3416 3458 3538 3712 3724 3857 3904 3952 4256 4394 4408 4636 4732 4901 5096 5278 5408 5551 5684 5824 5887 5978 6032 6272 6344 6422 6496 6728 6832 6916 7076 7163 7448 7714 7808 7904 8113 8281 8512 8788 8816 9272 9464 9802 10192 10309 10556 10816 10933 11102 11368 11648 11774 11956 12064 12103 12383 12688 12844 12992 13456 13664 13832 14152 14326 14896 15067 15379 15428 15808 15979 16226 16562 17024 17576 17632 18473 18544 18928 19604 20384 20618 21112 21632 21866 22204 22477 22736 22997 23548 23912 24128 24206 24766 25376 25688 25984 26912 26999 27328 27664 28304 28652 29792 30134 30758 30856 31616 31958 32452 33124 33611 34307 35152 35264 36946 37088 37856 38857 39208 40768 41209 41236 41743 42224 43732 44408 44954 45472 45994 47096 47824 48256 48412 49532 50141 50752 51301 51376 53824 53998 54656 55328 56608 56791 57304 59584 60268 61516 61712 63713 63916 64904 66248 67222 68614 70304 70528 72163 73892 74176 75712 76531 77714 78416 81536 82418 82472 83486 84448 86681 87464 88816 89908 90944 91988 93119 94192 95648 96824 99064 100282 101504 102602 102752 105469 107648 107653 107996 110656 111853 113216 113582 114608 119168 120536 123032 123424 127426 127832 129808 132496 134017 134444 137228 140608 142129 144326 147784 148352 151424 153062 155428 156832 157339 160979 164836 164944 166972 168896 173362 174928 177632 179816 181888 183976 186238 188384 191296 193648 195871 198128 200564 205204 205504 207727 210938 215306 215992 221312 223706 226432 227164 229216 235277 240149 241072 246064 246848 254852 255664 259616 264992 268034 268888 274456 281216 284258 288652 292201 295568 298961 306124 310856 313664 314678 321958 329672 329888 333944 337792 346724 349856 350987 355264 359107 359632 367952 372476 376768 382592 387296 391742 396256 401128 410408 411008 415454 421876 430612 431984 436943 445991 447412 454328 458432 470554 480298 482144 492128 493696 505141 509704 511328 519232 529984 535717 536068 537776 548912 568516 577304 584402 591136 597922 612248 621712 627328 629356 643916 651833 659344 659776 666913 667888 693448 699712 701974 710528 718214 719264 735904 738283 744952 753536 774592 782971 783484 792512 802256 820816 830908 843752 861224 863968 873886 891982 894824 908656 916864 938119 941108 960596 964288 974719 984256 994903 1010282 1019408 1022656 1038464 1059968 1071434 1072136 1075552 1097824 1126853 1137032 1154608 1168804 1182272 1195844 1210547 1224496 1243424 1258712 1287832 1303666 1318688 1319552 1333826 1335776 1371097 1386896 1399424 1403948 1436428 1438528 1454089 1471808 1476566 1489904 1549184 1565942 1566968 1585024 1604512 1641632 1646939 1661816 1687504 1722448 1727936 1747772 1783964 1789648 1817312 1847677 1876238 1882216 1921192 1928576 1949438 1968512 1989806 2020564 2038816 2045312 2045407 2092727 2142868 2144272 2151104 2195648 2253706 2274064 2309216 2337608 2364544 2391688 2421094 2448992 2486848 2513749 2517424 2546323 2575664 2607332 2637376 2667652 2671552 2700451 2742194 2773792 2807896 2872856 2877056 2908178 2943616 2953132 2979808 3058601 3121937 3131884 3133936 3209024 3283264 3293878 3323632 3375008 3444896 3455872 3495544 3567928 3579296 3634624 3695354 3752476 3764432 3842384 3886493 3898876 3979612 4041128 4077632 4090814 4185454 4285736 4288544 4302208 4391296 4507412 4548128 4562831 4618432 4668391 4675216 4783376 4842188 4897984 4973696 5027498 5034848 5092646 5151328 5214664 5274752 5335304 5343104 5400902 5484388 5547584 5615792 5680259 5745712 5816356 5906264 5959616 6117202 6243874 6263768 6267872 6418048 6566528 6566833 6587756 6647264 6750016 6823033 6889792 6964321 6991088 7135856 7158592 7269248 7390708 7504952 7528864 7684768 7772986 7797752 7959224 8082256 8155264 8181628 8370908 8473829 8571472 8577088 8669869 9014824 9096256 9125662 9236864 9336782 9350432 9566752 9597679 9684376 9795968 10054996 10069696 10178623 10185292 10302656 10429328 10670608 10801804 10968776 11095168 11231584 11360518 11491424 11632712 11812528 11919232 12234404 12487748 12527536 12535744 12671347 12933739 13133666 13175512 13294528 13500032 13646066 13779584 13928642 13982176 14271712 14317184 14649089 14781416 15009904 15057728 15369536 15545972 15595504 15918448 16164512 16363256 16741816 16947658 17142944 17154176 17339738 17824261 18029648 18192512 18251324 18673564 18700864 18903157 19133504 19195358 19368752 20109992 20139392 20357246 20370584 20605312 20858656 21341216 21410207 21603608 21937552 22463168 22721036 22982848 23265424 23625056 24468808 24975496 25055072 25071488 25342694 25867478 26267332 26351024 26589056 27205451 27292132 27857284 27964352 28543424 29298178 29562832 30019808 30115456 30739072 31091944 31191008 31836896 32329024 32678737 32726512 33483632 33895316 34285888 34679476 35105863 35648522 36059296 36502648 37347128 37401728 37806314 38267008 38390716 38737504 39761813 40219984 40714492 40741168 41717312 42682432 42820414 43207216 43875104 44926336 45442072 45965696 46530848 47250112 47761231 48937616 49950992 50110144 50685388 51734956 52534664 52702048 54410902 54584264 55714568 55928704 57086848 58596356 59125664 59316803 60039616 60689083 62183888 62382016 63673792 64658048 65357474 65453024 66967264 67790632 68571776 69358952 70211726 71297044 72118592 73005296 73843367 74694256 75612628 76781432 77475008 79523626 80439968 81428984 81482336 83434624 85364864 85640828 86414432 87750208 88699429 90536173 90884144 93061696 94500224 95522462 97875232 99901984 100220288 101370776 103469912 105069328 105404096 108821804 109168528 111429136 112708297 117192712 118251328 118633606 120079232 121378166 124367776 124764032 124769827 127347584 130714948 130906048 132322099 133934528 135581264 138717904 140423452 142594088 144237184 146010592 147686734 149388512 151225256 153562864 154950016 159047252 160879936 162857968 162964672 164727511 171281656 172828864 175500416 177398858 181072346 181768288 186123392 190438157 191044924 195750464 199803968 202741552 206939824 210138656 210808192 217643608 218337056 222858272 225416594 234385424 236502656 237267212 242756332 245741041 248735552 249539654 261429896 261812096 264644198 267869056 271162528 277435808 278332691 280846904 285188176 292021184 295373468 298777024 302450512 307125728 318094504 321759872 325715936 325929344 329455022 342563312 345657728 354797716 362144692 363536576 380876314 382089848 391500928 399607936 405483104 413879648 420277312 424823581 435287216 436674112 445716544 450833188 468770848 474534424 485512664 491482082 497471104 499079308 516903569 522859792 529288396 542325056 554871616 556665382 561693808 570376352 584042368 590746936 597554048 604901024 614251456 620896003 636189008 651431872 658910044 685126624 709595432 724289384 727073152 761752628 764179696 788958079 810966208 827759296 840554624 849647162 870574432 873348224 891433088 901666376 937541696 949068848 971025328 982964164 998158616 1033807138 1045719584 1058576792 1084650112 1109743232 1113330764 1123387616 1140752704 1153092577 1181493872 1209802048 1228502912 1241792006 1272378016 1302863744 1317820088 1370253248 1419190864 1448578768 1523505256 1528359392 1577916158 1621932416 1655518592 1699294324 1720187287 1741148864 1803332752 1875083392 1898137696 1942050656 1965928328 1996317232 2067614276 2091439168 2117153584 2141457643 2226661528 2246775232 2281505408 2306185154 2362987744 2419604096 2483584012 2544756032 2635640176 2740506496 2838381728 2897157536 3047010512 3056718784 3155832316 3398588648 3440374574 3482297728 3606665504 3618324983 3796275392 3884101312 3931856656 3992634464 4135228552 4182878336 4234307168 4282915286 4453323056 4493550464 4612370308 4725975488 4967168024 5089512064 5271280352 5522706553 5676763456 5794315072 6094021024 6113437568 6311664632 6797177296 6880749148 7213331008 7236649966 7592550784 7768202624 7863713312 7985268928 8071648039 8270457104 8468614336 8565830572 8906646112 9224740616 9451950976 9934336048 10542560704 11045413106 11353526912 11588630144 12188042048 12623329264 13594354592 13761498296 14426662016 14473299932 14990203501 15727426624 15970537856 16143296078 16540914208 16937228672 17131661144 17813292224 18449481232 19868672096 21085121408 22090826212 24376084096 25246658528 27188709184 27522996592 28946599864 29980407002 31454853248 32286592156 33081828416 34263322288 35626584448 36898962464 39737344192 44181652424 50493317056 54377418368 55045993184 57893199728 59960814004 64573184312 66163656832 68526644576 73797924928 79474688384 88363304848 100986634112 104931424507 110091986368 115786399456 119921628008 129146368624 137053289152 147595849856 176726609696 209862849014 220183972736 231572798912 239843256016 258292737248 274106578304 353453219392 419725698028 463145597824 479686512032 516585474496 706906438784 839451396056 959373024064 1033170948992 1678902792112 1918746048128 3357805584224 6715611168448 13431222336896
- Sum of all divisors σ(n): 37362147732000
- Sum of proper divisors (its aliquot sum) s(n): 23930925395104
- 13431222336896 is an abundant number, because the sum of its proper divisors (23930925395104) is greater than itself. Its abundance is 10499703058208
Bases of 13431222336896
- Binary: 110000110111001100110011110001111101100000002
- Hexadecimal: 0xC37333C7D80
- Base-36: 4RE7UZU68
Squares and roots of 13431222336896
- 13431222336896 squared (134312223368962) is 180397733463134047322914816
- 13431222336896 cubed (134312223368963) is 2422962067215457018148582587685861851136
-
The
square root of 13431222336896 is 3664863.2084835035 -
The
cube root of 13431222336896 is 23770.5107171277
Scales and comparisons
How big is 13431222336896?- 13,431,222,336,896 seconds is equal to 427,071 years, 16 weeks, 6 days, 5 hours, 34 minutes, 56 seconds.
-
To count from 1 to 13,431,222,336,896 would take you about one million, sixty-seven thousand, six hundred seventy-eight 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 13431222336896 cubic inches would be around 1980.9 feet tall.
Recreational maths with 13431222336896
- 13431222336896 backwards is 69863322213431
- The number of decimal digits it has is: 14
- The sum of 13431222336896's digits is 53
- More coming soon!
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Numbermatics. (2024). Number 13431222336896 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/13431222336896/
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The information we have on file for 13431222336896 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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