12972537120438
12,972,537,120,438 is an even composite number composed of eight prime numbers multiplied together.
What does the number 12972537120438 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 768 divisors.
12972537120438 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 12972537120438:
2 × 33 × 7 × 19 × 292 × 61 × 137 × 257
(2 × 3 × 3 × 3 × 7 × 19 × 29 × 29 × 61 × 137 × 257)See below for interesting mathematical facts about the number 12972537120438 from the Numbermatics database.
Names of 12972537120438
- Cardinal: 12972537120438 can be written as Twelve trillion, nine hundred seventy-two billion, five hundred thirty-seven million, one hundred twenty thousand, four hundred thirty-eight.
Scientific notation
- Scientific notation: 1.2972537120438 × 1013
Factors of 12972537120438
Divisors of 12972537120438
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 6 7 9 14 18 19 21 27 29 38 42 54 57 58 61 63 87 114 122 126 133 137 171 174 183 189 203 257 261 266 274 342 366 378 399 406 411 427 513 514 522 549 551 609 771 783 798 822 841 854 959 1026 1098 1102 1159 1197 1218 1233 1281 1542 1566 1647 1653 1682 1769 1799 1827 1918 2313 2318 2394 2466 2523 2562 2603 2877 3294 3306 3477 3538 3591 3598 3654 3699 3843 3857 3973 4626 4883 4959 5046 5206 5307 5397 5481 5754 5887 6939 6954 7182 7398 7453 7569 7686 7714 7809 7946 8113 8357 8631 9766 9918 10431 10614 10794 10962 11529 11571 11774 11919 12383 13878 14649 14877 14906 15138 15618 15677 15921 15979 16191 16226 16714 17262 17661 18221 20862 22359 22707 23058 23142 23427 23838 24339 24766 25071 25893 27811 29298 29754 31293 31354 31842 31958 32382 33611 34181 34713 35209 35322 35757 36442 37149 43947 44718 45414 46854 47031 47763 47937 48573 48678 50142 51301 51786 52171 52983 54663 55622 58499 62586 67077 67222 68362 69426 70281 70418 71514 73017 74298 75213 75487 83433 87894 94062 95526 95874 97146 100833 102543 102602 104139 104342 105627 105966 107271 109326 109739 111447 111853 115217 116998 131841 134154 140562 141093 141607 143811 146034 150426 150974 153903 156513 158783 158949 163989 166866 175497 201231 201666 205086 208278 211254 214542 216137 219051 219478 222894 223706 225639 226461 230434 235277 242353 246463 250299 263682 282186 283214 287622 297863 302499 307629 307806 313026 316881 317566 317898 327978 329217 334341 335559 345651 350994 359107 402462 423279 424821 431433 432274 438102 451278 452922 454633 461709 469539 470554 476349 484706 491967 492926 500598 526491 528409 595726 604998 615258 633762 648411 658434 668682 668971 671118 679383 691302 705831 718214 727059 739389 750897 806519 846558 849642 862866 893589 907497 909266 922887 923418 939078 950643 952698 974719 983934 987651 991249 1006677 1021061 1036953 1052982 1056818 1077321 1111481 1274463 1296822 1337942 1358766 1363899 1385127 1408617 1411662 1429047 1454118 1478778 1501794 1512959 1579473 1585227 1613038 1696471 1787178 1814994 1845774 1901286 1945233 1949438 1975302 1982498 2006913 2013354 2038149 2042122 2073906 2085041 2117493 2147749 2154642 2181177 2189123 2218167 2222962 2419557 2548926 2680767 2727798 2770254 2817234 2858094 2924157 2962953 2973747 3020031 3025918 3063183 3110859 3158946 3170454 3182431 3231963 3334443 3392942 3823389 3890466 4013826 4076298 4091697 4106603 4170082 4234986 4287141 4295498 4362354 4378246 4436334 4538877 4604707 4682797 4755681 4839114 5089413 5361534 5835699 5848314 5925906 5947494 6020739 6040062 6126366 6221718 6255123 6352479 6364862 6443247 6463926 6543531 6567369 6654501 6668886 6823033 7028237 7147427 7258671 7646778 8042301 8183394 8213206 8574282 8638027 8772471 8921241 9077754 9189549 9209414 9365594 9511362 9547293 9695889 10003329 10178826 11671398 12041478 12275091 12319809 12510246 12704958 12886494 13087062 13134738 13184357 13309002 13616631 13646066 13814121 14048391 14056474 14267043 14294854 14517342 15034243 15268239 15323861 16084602 17276054 17544942 17842482 18062217 18379098 18765369 19094586 19329741 19391778 19400159 19702107 20006658 20469099 21084711 21442281 21776013 24550182 24639618 25914081 26317413 26368714 26763723 27233262 27568647 27628242 28096782 28534086 28641879 28746221 29610769 30009987 30068486 30536478 30647722 32232949 36124434 36959427 37530738 38659482 38800318 39404214 39553071 40807231 40849893 40938198 41442363 42145173 42169422 42884562 43552026 45102729 45804717 45971583 49197659 51828162 52634826 53527446 55137294 56296107 57283758 57492442 57989223 58200477 59106321 59221538 60019974 60466189 61407297 62284721 63254133 64326843 64465898 73918854 77742243 79106142 81614462 81699786 82884726 84290346 85925637 86238663 88832307 90205458 91609434 91943166 92290499 96698847 98395318 110878281 112592214 115978446 116400954 118212642 118659213 120932378 122421693 122814594 124327089 124569442 126435519 126508266 128653686 133536503 135308187 135801113 137914749 147592977 155484486 171851274 172477326 174601431 177664614 181398567 184221891 184580998 186854163 189762399 192980529 193397694 207275383 221756562 233226729 237318426 244843386 248654178 250502783 252871038 258715989 266496921 267073006 270616374 271602226 275829498 276871497 285650617 290096541 295185954 349202862 355977639 362797134 367265079 368443782 373708326 379524798 385961058 400609509 405924561 407403339 413744247 414550766 435993047 442778931 466453458 501005566 517431978 523804293 532993842 544195701 553742994 560562489 562604611 571301234 580193082 621826149 711955278 734530158 751508349 776147967 799490763 801219018 811849122 814806678 827488494 830614491 856951851 870289623 871986094 885557862 934755521 1047608586 1088391402 1101795237 1121124978 1125209222 1183409699 1201828527 1222210017 1243652298 1307979141 1328336793 1503016698 1552295934 1598981526 1632587103 1661228982 1681687467 1687813833 1713903702 1740579246 1753519481 1806256909 1865478447 1869511042 2203590474 2254525047 2366819398 2403657054 2444420034 2491843473 2570855553 2615958282 2656673586 2804266563 3265174206 3363374934 3375627666 3507038962 3550229097 3605485581 3612513818 3666630051 3730956894 3923937423 3938232277 4509050094 4983686946 5063441499 5141711106 5260558443 5418770727 5596435341 5608533126 6763575141 7100458194 7210971162 7333260102 7712566659 7847874846 7876464554 8283867893 8412799689 10126882998 10521116886 10650687291 10837541454 11192870682 11771812269 11814696831 12643798363 13527150282 15190324497 15425133318 15781675329 16256312181 16567735786 16825599378 21301374582 23543624538 23629393662 24851603679 25238399067 25287596726 30380648994 31563350658 31952061873 32512624362 34318881271 35444090493 37931395089 47345025987 48768936543 49703207358 50476798134 63904123746 68637762542 70888180986 74554811037 75862790178 94690051974 97537873086 102956643813 106332271479 113794185267 149109622074 205913287626 212664542958 223664433111 227588370534 240232168897 308869931439 341382555801 447328866222 480464337794 617739862878 682765111602 720696506691 926609794317 1441393013382 1853219588634 2162089520073 4324179040146 6486268560219 12972537120438
- Sum of all divisors σ(n): 36915594393600
- Sum of proper divisors (its aliquot sum) s(n): 23943057273162
- 12972537120438 is an abundant number, because the sum of its proper divisors (23943057273162) is greater than itself. Its abundance is 10970520152724
Bases of 12972537120438
- Binary: 101111001100011001110111011110000110101101102
- Hexadecimal: 0xBCC677786B6
- Base-36: 4LJI1NS1I
Squares and roots of 12972537120438
- 12972537120438 squared (129725371204382) is 168286719341141836917311844
- 12972537120438 cubed (129725371204383) is 2183105713529694005666234391475431867672
-
The
square root of 12972537120438 is 3601740.8458185883 -
The
cube root of 12972537120438 is 23496.7776601397
Scales and comparisons
How big is 12972537120438?- 12,972,537,120,438 seconds is equal to 412,486 years, 28 weeks, 5 days, 13 hours, 27 minutes, 18 seconds.
-
To count from 1 to 12,972,537,120,438 would take you about one million, thirty-one thousand, two hundred sixteen 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 12972537120438 cubic inches would be around 1958.1 feet tall.
Recreational maths with 12972537120438
- 12972537120438 backwards is 83402173527921
- 12972537120438 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12972537120438's digits is 54
- More coming soon!
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The information we have on file for 12972537120438 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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