12315137347968
12,315,137,347,968 is an even composite number composed of seven prime numbers multiplied together.
12315137347968 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 12315137347968:
27 × 3 × 72 × 13 × 432 × 73 × 373
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 13 × 43 × 43 × 73 × 373)See below for interesting mathematical facts about the number 12315137347968 from the Numbermatics database.
Names of 12315137347968
- Cardinal: 12315137347968 can be written as Twelve trillion, three hundred fifteen billion, one hundred thirty-seven million, three hundred forty-seven thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.2315137347968 × 1013
Factors of 12315137347968
Divisors of 12315137347968
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 43 48 49 52 56 64 73 78 84 86 91 96 98 104 112 128 129 146 147 156 168 172 182 192 196 208 219 224 258 273 292 294 301 312 336 344 364 373 384 392 416 438 448 511 516 546 559 584 588 602 624 637 672 688 728 746 784 832 876 896 903 949 1022 1032 1092 1118 1119 1168 1176 1204 1248 1274 1344 1376 1456 1492 1533 1568 1664 1677 1752 1806 1849 1898 1911 2044 2064 2107 2184 2236 2238 2336 2352 2408 2496 2548 2611 2688 2752 2847 2912 2984 3066 3136 3139 3354 3504 3577 3612 3698 3796 3822 3913 4088 4128 4214 4368 4472 4476 4672 4704 4816 4849 4992 5096 5222 5504 5547 5694 5824 5968 6132 6272 6278 6321 6643 6708 7008 7154 7224 7396 7592 7644 7826 7833 8176 8256 8428 8736 8944 8952 9344 9408 9417 9632 9698 10192 10444 10731 11094 11388 11648 11739 11936 12264 12556 12642 12943 13286 13416 14016 14308 14448 14547 14792 15184 15288 15652 15666 16039 16352 16512 16856 17472 17888 17904 18277 18816 18834 19264 19396 19929 20384 20888 21462 21973 22188 22776 23478 23872 24037 24528 25112 25284 25886 26572 26832 27229 27391 28032 28616 28896 29094 29584 30368 30576 31304 31332 32078 32704 33712 33943 34944 35776 35808 36554 37668 38528 38792 38829 39858 40768 40807 41776 42924 43946 44376 45552 46501 46956 47744 48074 48117 49056 50224 50568 51772 53144 53664 54458 54782 54831 57232 57792 58188 59168 60736 61152 62608 62664 64156 65408 65919 67424 67886 71552 71616 72111 73108 75336 77584 77658 79716 81536 81614 81687 82173 83552 85848 87892 88752 90601 91104 93002 93912 96148 96234 98112 100448 101136 101829 103544 106288 107328 108916 109564 109662 112273 114464 115584 116376 118336 121472 122304 122421 125216 125328 128312 131838 134848 134977 135772 139503 143232 144222 146216 150672 153811 155168 155316 159432 163228 163374 164346 167104 168259 171696 175784 177504 181202 182208 186004 187824 190603 192296 192468 196224 200896 202272 203658 207088 208507 212576 214656 217832 219128 219324 224546 228928 232752 236672 237601 244608 244842 250432 250656 256624 263676 269696 269954 271544 271803 279006 285649 288444 292432 301344 307622 310336 310632 318864 326456 326748 328692 334208 336518 336819 343392 351568 353977 355008 362404 364416 372008 375648 381206 384592 384936 401792 404544 404931 407316 414176 417014 425152 435664 438256 438648 449092 457856 461433 465504 475202 489684 500864 501312 504777 513248 527352 539908 543088 543606 558012 571298 571809 576888 584864 602688 615244 620672 621264 625521 637728 652912 653496 657384 673036 673638 686784 689677 703136 707954 710016 712803 724808 744016 751296 762412 769184 769872 785911 809088 809862 814632 828352 834028 850304 856947 871328 876512 877296 898184 922866 931008 944839 950404 979368 1002624 1009554 1026496 1054704 1061931 1079816 1086176 1087212 1116024 1142596 1143618 1153776 1169728 1170847 1177813 1205376 1230488 1242528 1251042 1275456 1305824 1306992 1314768 1334221 1346072 1347276 1373568 1379354 1406272 1415908 1425606 1449616 1459549 1488032 1502592 1524824 1538368 1539744 1571822 1619724 1629264 1656704 1668056 1713894 1742656 1753024 1754592 1754701 1796368 1845732 1862016 1889678 1900808 1958736 1999543 2019108 2052992 2069031 2109408 2123862 2159632 2172352 2174424 2232048 2285192 2287236 2307552 2339456 2341694 2355626 2357733 2460976 2477839 2485056 2502084 2550912 2611648 2613984 2629536 2668442 2692144 2694552 2758708 2812544 2831816 2834517 2851212 2899232 2919098 2976064 3049648 3076736 3079488 3143644 3239448 3258528 3336112 3427788 3485312 3506048 3509184 3509402 3512541 3533439 3592736 3691464 3779356 3801616 3917472 3999086 4002663 4038216 4138062 4218816 4247724 4319264 4344704 4348848 4378647 4464096 4570384 4574472 4615104 4683388 4711252 4715466 4827739 4921952 4955678 4970112 5004168 5223296 5227968 5259072 5264103 5336884 5384288 5389104 5517416 5663632 5669034 5702424 5798464 5838196 5952128 5998629 6099296 6158976 6287288 6478896 6517056 6613873 6672224 6855576 7018368 7018804 7025082 7066878 7185472 7382928 7433517 7558712 7603232 7834944 7998172 8005326 8076432 8195929 8276124 8437632 8495448 8638528 8697696 8757294 8928192 8965801 9140768 9148944 9230208 9366776 9422504 9430932 9655478 9843904 9911356 10008336 10216843 10455936 10518144 10528206 10673768 10768576 10778208 11034832 11327264 11338068 11404848 11596928 11676392 11997258 12198592 12282907 12574576 12957792 13034112 13227746 13344448 13711152 14037608 14050164 14133756 14370944 14483217 14765856 14867034 15117424 15206464 15221011 15669888 15996344 16010652 16152864 16391858 16552248 16990896 17277056 17344873 17395392 17514588 17856384 17931602 18281536 18297888 18733552 18845008 18861864 19310956 19687808 19822712 19841619 20016672 20433686 21056412 21347536 21537152 21556416 22069664 22654528 22676136 22809696 23352784 23994516 24397184 24565814 24587787 25149152 25915584 26455492 26688896 26897403 27422304 28075216 28100328 28267512 28966434 29531712 29734068 30234848 30412928 30442022 30650529 31992688 32021304 32305728 32783716 33104496 33794173 33981792 34689746 34790784 35029176 35863204 36563072 36595776 36848721 37467104 37690016 37723728 38621912 39645424 39683238 40033344 40867372 42112824 42695072 43112832 44139328 45309056 45352272 45619392 45663033 46705568 47989032 49131628 49175574 50298304 50346421 51831168 52034619 52910984 53794806 54844608 56150432 56200656 56535024 57371503 57932868 59063424 59468136 60469696 60884044 61301058 62760607 63985376 64042608 64611456 65567432 66208992 67588346 67963584 69379492 70058352 71726408 73191552 73697442 74934208 75380032 75447456 77243824 79290848 79366476 80066688 81734744 84225648 85390144 85980349 88278656 90704544 91238784 91326066 93411136 95978064 98263256 98351148 100596608 100692842 101382519 104069238 105821968 106547077 107589612 109689216 112300864 112401312 113070048 114743006 115865736 118936272 120939392 121768088 122602116 125521214 127970752 128085216 131134864 132417984 135176692 135927168 138758984 140116704 143452816 147394884 149868416 150760064 150894912 151039263 154487648 158581696 158732952 163469488 168451296 170780288 171960698 172114509 181409088 182652132 186822272 188281821 191956128 196526512 196702296 201385684 202765038 208138476 211643936 213094154 215179224 224601728 224802624 226140096 229486012 231731472 237872544 243536176 245204232 251042428 255941504 256170432 257941047 262269728 264835968 270353384 277517968 280233408 286905632 294789768 301789824 302078526 308975296 317163392 317465904 319641231 326938976 336902592 343921396 344229018 352424947 362818176 365304264 376563642 383912256 393053024 393404592 402771368 405530076 416276952 423287872 426188308 430358448 439324249 449605248 452280192 458972024 463462944 475745088 487072352 490408464 502084856 512340864 515882094 524539456 540706768 555035936 560466816 573811264 589579536 604157052 617950592 634931808 639282462 653877952 654503473 673805184 687842792 688458036 704849894 730608528 745829539 753127284 767824512 786106048 786809184 805542736 811060152 832553904 846575744 852376616 860716896 878648498 917944048 926925888 951490176 974144704 980816928 1004169712 1031764188 1049078912 1057274841 1081413536 1110071872 1147622528 1179159072 1208314104 1269863616 1278564924 1307755904 1309006946 1317972747 1375685584 1376916072 1409699788 1461217056 1491659078 1506254568 1572212096 1573618368 1611085472 1622120304 1665107808 1704753232 1721433792 1757296996 1835888096 1853851776 1948289408 1961633856 1963510419 2008339424 2063528376 2114549682 2162827072 2220143744 2237488617 2358318144 2416628208 2466974629 2539727232 2557129848 2618013892 2635945494 2751371168 2753832144 2819399576 2922434112 2983318156 3012509136 3147236736 3222170944 3244240608 3330215616 3409506464 3442867584 3514593992 3671776192 3923267712 3927020838 4016678848 4127056752 4229099364 4325654144 4474977234 4581524311 4716636288 4833256416 4933949258 5114259696 5236027784 5271890988 5502742336 5507664288 5638799152 5844868224 5966636312 6025018272 6444341888 6488481216 6660431232 6819012928 7029187984 7343552384 7400923887 7854041676 8033357696 8254113504 8458198728 8949954468 9163048622 9666512832 9867898516 10228519392 10472055568 10543781976 11005484672 11015328576 11277598304 11933272624 12050036544 12976962432 13638025856 13744572933 14058375968 14801847774 15708083352 16508227008 16916397456 17899908936 18326097244 19333025664 19735797032 20457038784 20944111136 21087563952 22030657152 22555196608 23866545248 24100073088 27489145866 28116751936 29603695548 31416166704 32070670177 33016454016 33832794912 35799817872 36652194488 39471594064 40914077568 41888222272 42175127904 45110393216 47733090496 54978291732 56233503872 59207391096 62832333408 64141340354 67665589824 71599635744 73304388976 78943188128 83776444544 84350255808 95466180992 96212010531 109956583464 118414782192 125664666816 128282680708 135331179648 143199271488 146608777952 157886376256 168700511616 192424021062 219913166928 236829564384 251329333632 256565361416 286398542976 293217555904 315772752512 384848042124 439826333856 473659128768 513130722832 586435111808 769696084248 879652667712 947318257536 1026261445664 1539392168496 1759305335424 2052522891328 3078784336992 4105045782656 6157568673984 12315137347968
- Sum of all divisors σ(n): 42643908125280
- Sum of proper divisors (its aliquot sum) s(n): 30328770777312
- 12315137347968 is an abundant number, because the sum of its proper divisors (30328770777312) is greater than itself. Its abundance is 18013633429344
Bases of 12315137347968
- Binary: 101100110011010101110110001100010001100000002
- Hexadecimal: 0xB3357631180
- Base-36: 4D5HUT56O
Squares and roots of 12315137347968
- 12315137347968 squared (123151373479682) is 151662607899316304313729024
- 12315137347968 cubed (123151373479683) is 1867745846831096839466559690875949023232
-
The
square root of 12315137347968 is 3509292.9983072089 -
The
cube root of 12315137347968 is 23092.9679737841
Scales and comparisons
How big is 12315137347968?- 12,315,137,347,968 seconds is equal to 391,583 years, 14 weeks, 1 day, 21 hours, 32 minutes, 48 seconds.
-
To count from 1 to 12,315,137,347,968 would take you about nine hundred seventy-eight thousand, nine hundred fifty-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 12315137347968 cubic inches would be around 1924.4 feet tall.
Recreational maths with 12315137347968
- 12315137347968 backwards is 86974373151321
- The number of decimal digits it has is: 14
- The sum of 12315137347968's digits is 60
- More coming soon!
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The information we have on file for 12315137347968 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!
Keywords: Divisors of 12315137347968, math, Factors of 12315137347968, curriculum, school, college, exams, university, Prime factorization of 12315137347968, STEM, science, technology, engineering, physics, economics, calculator, twelve trillion, three hundred fifteen billion, one hundred thirty-seven million, three hundred forty-seven thousand, nine hundred sixty-eight.