12824126798914816
12,824,126,798,914,816 is an even composite number composed of seven prime numbers multiplied together.
What does the number 12824126798914816 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 864 divisors.
12824126798914816 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 12824126798914816:
28 × 7 × 112 × 61 × 127 × 1613 × 4733
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 11 × 61 × 127 × 1613 × 4733)See below for interesting mathematical facts about the number 12824126798914816 from the Numbermatics database.
Names of 12824126798914816
- Cardinal: 12824126798914816 can be written as Twelve quadrillion, eight hundred twenty-four trillion, one hundred twenty-six billion, seven hundred ninety-eight million, nine hundred fourteen thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.2824126798914816 × 1016
Factors of 12824126798914816
Divisors of 12824126798914816
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 7 8 11 14 16 22 28 32 44 56 61 64 77 88 112 121 122 127 128 154 176 224 242 244 254 256 308 352 427 448 484 488 508 616 671 704 847 854 889 896 968 976 1016 1232 1342 1397 1408 1613 1694 1708 1778 1792 1936 1952 2032 2464 2684 2794 2816 3226 3388 3416 3556 3872 3904 4064 4697 4733 4928 5368 5588 6452 6776 6832 7112 7381 7744 7747 7808 8128 9394 9466 9779 9856 10736 11176 11291 12904 13552 13664 14224 14762 15367 15488 15494 15616 16256 17743 18788 18932 19558 19712 21472 22352 22582 25808 27104 27328 28448 29524 30734 30976 30988 32512 33131 35486 37576 37864 39116 42944 44704 45164 51616 51667 52063 54208 54229 54656 56896 59048 61468 61976 66262 70972 75152 75728 78232 85217 85888 89408 90328 98393 103232 103334 104126 107569 108416 108458 109312 113792 118096 122936 123952 124201 132524 141944 150304 151456 156464 170434 171776 178816 180656 195173 196786 204851 206464 206668 208252 215138 216832 216916 227584 236192 245872 247904 248402 265048 283888 288713 300608 302912 312928 340868 357632 361312 364441 390346 393572 409702 412928 413336 416504 430276 433832 472384 491744 495808 496804 530096 567776 572693 577426 596519 601091 601216 605824 625856 681736 688751 722624 728882 780692 787144 819404 826672 833008 860552 867664 937387 944768 983488 991616 993608 1060192 1082323 1135552 1145386 1154852 1193038 1202182 1202432 1211648 1251712 1363472 1366211 1377502 1433957 1445248 1457764 1561384 1574288 1638808 1653344 1666016 1721104 1735328 1874774 1889536 1966976 1983232 1987216 2020991 2120384 2164646 2253361 2271104 2290772 2309704 2386076 2404364 2503424 2726944 2732422 2755004 2867914 2890496 2915528 3122768 3148576 3175843 3277616 3306688 3332032 3442208 3470656 3749548 3933952 3974432 4008851 4041982 4207637 4240768 4329292 4506722 4542208 4581544 4619408 4772152 4808728 5453888 5464844 5510008 5735828 5831056 6245536 6297152 6351686 6555232 6561709 6612001 6613376 6664064 6884416 6941312 7499096 7576261 7634329 7948864 8017702 8083964 8415274 8481536 8658584 9013444 9163088 9238816 9544304 9617456 10907776 10929688 11020016 11471656 11662112 11905553 12491072 12495911 12594304 12703372 13110464 13123418 13224002 13226752 13328128 13768832 13882624 14998192 15152522 15268658 15773527 15897728 16035404 16167928 16830548 17317168 18026888 18326176 18477632 19088608 19234912 21815552 21859376 22040032 22230901 22943312 23324224 23811106 24786971 24982144 24991822 25188608 25406744 26220928 26246836 26448004 27537664 29996384 30305044 30537316 31547054 31795456 32070808 32335856 33661096 34634336 34934273 36053776 36652352 36666551 36955264 38177216 38469824 43718752 44080064 44461802 45886624 46284007 46648448 47622212 49573942 49964288 49983644 50813488 52441856 52493672 52896008 53440303 59992768 60610088 61074632 63094108 64141616 64671712 67322192 69268672 69868546 72107552 72732011 73304704 73333102 73910528 76354432 76939648 83338871 83977619 87437504 87471377 88160128 88923604 91773248 92568014 93296896 95244424 99147884 99967288 101626976 104987344 105792016 106880606 119985536 121220176 122149264 126188216 128283232 129343424 134644384 137455021 138537344 139737092 144215104 145464022 146609408 146666204 152708864 153879296 166677742 167955238 173508797 174875008 174942754 176320256 177847208 183546496 185136028 190488848 198295768 199934576 203253952 209974688 211584032 213761212 239971072 242440352 244298528 244539911 252376432 256566464 256665857 258686848 269288768 274910042 277074688 279474184 288430208 290928044 293332408 333355484 335910476 347017594 349750016 349885508 355694416 367092992 370272056 380977696 396591536 399869152 403332061 406507904 419949376 423168064 427522424 465694069 484880704 488597056 489079822 504752864 509124077 513132928 513331714 517373696 538577536 549820084 558948368 576860416 581856088 586664816 587843333 666710968 671820952 694035188 699771016 711388832 740544112 761955392 793183072 799738304 806664122 813015808 839898752 846336128 855044848 923753809 931388138 962185147 969559783 969761408 977194112 978159644 1009505728 1018248154 1026265856 1026663428 1077155072 1099640168 1117896736 1163712176 1173329632 1175686666 1333421936 1343641904 1388070376 1399542032 1422777664 1481088224 1512005231 1523910784 1586366144 1599476608 1613328244 1679797504 1692672256 1710089696 1847507618 1862776276 1924370294 1939119566 1939522816 1954388224 1956319288 2019011456 2036496308 2053326856 2199280336 2235793472 2327424352 2346659264 2351373332 2666843872 2687283808 2776140752 2799084064 2823324427 2845555328 2962176448 3024010462 3047821568 3172732288 3198953216 3226656488 3259858483 3420179392 3695015236 3725552552 3848740588 3878239132 3912638576 4038022912 4072992616 4106653712 4398560672 4436652671 4471586944 4654848704 4693318528 4702746664 5122634759 5333687744 5374567616 5552281504 5598168128 5646648854 5691110656 5924352896 6048020924 6345464576 6453312976 6466276663 6519716966 6786918481 6840358784 7390030472 7451105104 7697481176 7756478264 7825277152 8145985232 8213307424 8797121344 8873305342 8943173888 9309697408 9386637056 9405493328 10245269518 10584036617 10665157613 10667375488 10749135232 11104563008 11196336256 11293297708 11848705792 12096041848 12906625952 12932553326 13039433932 13573836962 13680717568 14780060944 14902210208 15394962352 15512956528 15650554304 16291970464 16426614848 17594242688 17746610684 18619394816 18810986656 20490539036 21168073234 21330315226 21334750976 21498270464 22209126016 22392672512 22586595416 24192083696 25813251904 25865106652 26078867864 27147673924 29560121888 29804420416 30789924704 31025913056 31056568697 31301108608 32583940928 32853229696 35188485376 35493221368 35858443313 37621973312 40981078072 42336146468 42660630452 44418252032 45173190832 48384167392 51626503808 51730213304 52157735728 54295347848 56348982349 59120243776 59143146763 59608840832 61579849408 62051826112 62113137394 62602217216 65167881856 65706459392 70986442736 71716886626 74656103291 75243946624 81962156144 84672292936 85321260904 90346381664 96768334784 103253007616 103460426608 104315471456 108590695696 112697964698 117316733743 118240487552 118286293526 119217681664 123159698816 124103652224 124226274788 130335763712 141972885472 143433773252 149312206582 150487893248 163924312288 169344585872 170642521808 180692763328 193536669568 206920853216 208630942912 217181391392 225395929396 234633467486 236480975104 236572587052 246319397632 248207304448 248452549576 283945770944 286867546504 298624413164 327848624576 338689171744 341285043616 361385526656 387073339136 394442876443 413841706432 414002027341 417261885824 434362782784 450791858792 469266934972 473145174104 496905099152 567891541888 573735093008 597248826328 650574614393 655697249152 677378343488 682570087232 722771053312 788885752886 821217136201 827683412864 828004054682 834523771648 868725565568 901583717584 938533869944 946290348208 993810198304 1135783083776 1147470186016 1194497652656 1301149228786 1311394498304 1354756686976 1365140174464 1577771505772 1642434272402 1655366825728 1656008109364 1737451131136 1803167435168 1877067739888 1892580696416 1987620396608 2294940372032 2388995305312 2602298457572 2709513373952 2730280348928 3155543011544 3284868544804 3312016218728 3606334870336 3754135479776 3785161392832 3975240793216 4554022300751 4589880744064 4777990610624 5204596915144 6311086023088 6569737089608 6624032437456 7156320758323 7212669740672 7508270959552 7570322785664 7950481586432 9108044601502 9179761488128 9555981221248 10409193830288 12622172046176 13139474179216 13248064874912 14312641516646 14425339481344 15016541919104 15140645571328 18216089203004 19111962442496 20818387660576 25244344092352 26278948358432 26496129749824 28625283033292 30033083838208 36432178406008 41636775321152 50094245308261 50488688184704 52557896716864 52992259499648 57250566066584 72864356812016 83273550642304 100188490616522 100977376369408 105115793433728 105984518999296 114501132133168 145728713624032 166547101284608 200376981233044 210231586867456 229002264266336 291457427248064 400753962466088 458004528532672 582914854496128 801507924932176 916009057065344 1165829708992256 1603015849864352 1832018114130688 3206031699728704 6412063399457408 12824126798914816
- Sum of all divisors σ(n): 32968255800582144
- Sum of proper divisors (its aliquot sum) s(n): 20144129001667328
- 12824126798914816 is an abundant number, because the sum of its proper divisors (20144129001667328) is greater than itself. Its abundance is 7320002202752512
Bases of 12824126798914816
- Binary: 1011011000111101111001101100100110011101100101000000002
- Hexadecimal: 0x2D8F79B2676500
- Base-36: 3I9RUIQXJWG
Squares and roots of 12824126798914816
- 12824126798914816 squared (128241267989148162) is 164458228154645165566515224313856
- 12824126798914816 cubed (128241267989148163) is 2109033170980032174370214611381199083758992490496
-
The
square root of 12824126798914816 is 113243661.1864647193 -
The
cube root of 12824126798914816 is 234068.3001182949
Scales and comparisons
How big is 12824126798914816?- 12,824,126,798,914,816 seconds is equal to 407,767,564 years, 29 weeks, 6 days, 23 hours, 16 seconds.
-
To count from 1 to 12,824,126,798,914,816 would take you about one billion, two hundred twenty-three million, three hundred two thousand, six hundred ninety-three 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 12824126798914816 cubic inches would be around 19505.7 feet tall.
Recreational maths with 12824126798914816
- 12824126798914816 backwards is 61841989762142821
- The number of decimal digits it has is: 17
- The sum of 12824126798914816's digits is 79
- More coming soon!
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The information we have on file for 12824126798914816 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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