13972712265191904
13,972,712,265,191,904 is an even composite number composed of six prime numbers multiplied together.
13972712265191904 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 13972712265191904:
25 × 3 × 7 × 43 × 473 × 1673
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 43 × 47 × 47 × 47 × 167 × 167 × 167)See below for interesting mathematical facts about the number 13972712265191904 from the Numbermatics database.
Names of 13972712265191904
- Cardinal: 13972712265191904 can be written as Thirteen quadrillion, nine hundred seventy-two trillion, seven hundred twelve billion, two hundred sixty-five million, one hundred ninety-one thousand, nine hundred four.
Scientific notation
- Scientific notation: 1.3972712265191904 × 1016
Factors of 13972712265191904
Divisors of 13972712265191904
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 47 48 56 84 86 94 96 112 129 141 167 168 172 188 224 258 282 301 329 334 336 344 376 501 516 564 602 658 668 672 688 752 903 987 1002 1032 1128 1169 1204 1316 1336 1376 1504 1806 1974 2004 2021 2064 2209 2256 2338 2408 2632 2672 3507 3612 3948 4008 4042 4128 4418 4512 4676 4816 5264 5344 6063 6627 7014 7181 7224 7849 7896 8016 8084 8836 9352 9632 10528 12126 13254 14028 14147 14362 14448 15463 15698 15792 16032 16168 17672 18704 21543 23547 24252 26508 27889 28056 28294 28724 28896 30926 31396 31584 32336 35344 37408 42441 43086 46389 47094 48504 50267 53016 54943 55778 56112 56588 57448 61852 62792 64672 70688 83667 84882 86172 92778 94188 94987 97008 100534 103823 106032 109886 111556 112224 113176 114896 123704 125584 150801 164829 167334 169764 172344 185556 188376 189974 194016 195223 201068 207646 212064 219772 223112 226352 229792 247408 251168 284961 301602 311469 329658 334668 337507 339528 344688 368903 371112 376752 379948 390446 402136 415292 439544 446224 452704 494816 569922 585669 603204 622938 659316 664909 669336 675014 679056 689376 726761 737806 742224 753504 759896 780892 804272 830584 879088 892448 1012521 1106709 1139844 1171338 1199227 1206408 1245876 1310783 1318632 1329818 1338672 1350028 1358112 1453522 1475612 1484448 1519792 1561784 1608544 1661168 1758176 1994727 2025042 2180283 2213418 2279688 2342676 2362549 2398454 2412816 2491752 2582321 2621566 2637264 2659636 2677344 2700056 2907044 2951224 3039584 3123568 3322336 3597681 3932349 3989454 4050084 4360566 4426836 4464389 4559376 4657463 4685352 4725098 4796908 4825632 4983504 5164642 5243132 5274528 5319272 5400112 5814088 5902448 6247136 7087647 7195362 7746963 7864698 7978908 8100168 8394589 8721132 8853672 8928778 9118752 9175481 9314926 9370704 9450196 9593816 9967008 10329284 10486264 10638544 10800224 11628176 11804896 13393167 13972389 14175294 14390724 15493926 15729396 15862829 15957816 16200336 16789178 17338441 17442264 17707344 17857556 18350962 18629852 18741408 18900392 19187632 20658568 20972528 21277088 23256352 25183767 26786334 27526443 27944778 28350588 28781448 30987852 31250723 31458792 31725658 31915632 32400672 32602241 33578356 34676882 34884528 35414688 35715112 36701924 37259704 37800784 38375264 41317136 41945056 47588487 50367534 52015323 53572668 55052886 55889556 56363669 56701176 57562896 61606801 61975704 62501446 62917584 63451316 63831264 65204482 67156712 69353764 69769056 71430224 73403848 74519408 75601568 82634272 93752169 95176974 97806723 100735068 104030646 107145336 110105772 111039803 111779112 112727338 113402352 115125792 121369087 123213602 123951408 125002892 125835168 126902632 130408964 134313424 138707528 142860448 146807696 149038816 169091007 184820403 187504338 190353948 195613446 200270909 201470136 208061292 214290672 218900761 220211544 222079606 223558224 225454676 226804704 242738174 246427204 247902816 250005784 253805264 260817928 268626848 277415056 293615392 333119409 338182014 364107261 369640806 375008676 380707896 391226892 394545683 400541818 402940272 416122584 428581344 431247607 437801522 440423088 444159212 447116448 450909352 485476348 492854408 500011568 507610528 521635856 554830112 600812727 656702283 666238818 676364028 728214522 739281612 745552963 750017352 761415792 782453784 789091366 801083636 805880544 832245168 862495214 875603044 880846176 888318424 901818704 970952696 985708816 1000023136 1043271712 1183637049 1201625454 1293742821 1313404566 1332477636 1352728056 1401896363 1456429044 1478563224 1491105926 1500034704 1522831584 1532305327 1564907568 1578182732 1602167272 1664490336 1724990428 1751206088 1776636848 1803637408 1941905392 1971417632 2236658889 2367274098 2403250908 2587485642 2626809132 2649092443 2664955272 2705456112 2803792726 2895519647 2912858088 2957126448 2982211852 3000069408 3064610654 3129815136 3156365464 3204334544 3449980856 3502412176 3553273696 3883810784 4205689089 4473317778 4596915981 4734548196 4806501816 5174971284 5218870741 5253618264 5298184886 5329910544 5410912224 5607585452 5791039294 5825716176 5914252896 5964423704 6129221308 6312730928 6408669088 6899961712 7004824352 7947277329 8411378178 8686558941 8946635556 9193831962 9412732723 9469096392 9613003632 10288335767 10349942568 10437741482 10507236528 10596369772 10659821088 11215170904 11582078588 11651432352 11928847408 12258442616 12625461856 13799923424 15656612223 15894554658 16822756356 17373117882 17893271112 18387663924 18543647101 18825465446 18938192784 19226007264 20268637529 20576671534 20699885136 20875482964 21014473056 21192739544 22430341808 23164157176 23857694816 24516885232 28238198169 30865007301 31313224446 31789109316 33645512712 34746235764 35786542224 36775327848 37087294202 37650930892 37876385568 40537275058 41153343068 41399770272 41750965928 42385479088 44860683616 46328314352 49033770464 55630941303 56476396338 60805912587 61730014602 62626448892 63578218632 65889129061 67291025424 69492471528 71573084448 72018350369 73550655696 74174588404 75301861784 81074550116 82306686136 83501931856 84770958176 92656628704 111261882606 112952792676 121611825174 123460029204 124507344821 125252897784 127156437264 131778258122 134582050848 138984943056 144036700738 147101311392 148349176808 150603723568 162149100232 164613372272 167003863712 197667387183 216055051107 222523765212 225905585352 243223650348 246920058408 249014689642 250505795568 254312874528 263556516244 277969886112 288073401476 296698353616 301207447136 324298200464 329226744544 373522034463 395334774366 432110102214 442398437981 445047530424 451811170704 483551781049 486447300696 493840116816 498029379284 501011591136 527113032488 576146802952 593396707232 648596400928 747044068926 790669548732 864220204428 871551413747 884796875962 890095060848 903622341408 967103562098 972894601392 987680233632 996058758568 1054226064976 1152293605904 1327195313943 1450655343147 1494088137852 1581339097464 1728440408856 1743102827494 1769593751924 1780190121696 1934207124196 1945789202784 1992117517136 2108452129952 2304587211808 2614654241241 2654390627886 2901310686294 2988176275704 3096789065867 3162678194928 3384862467343 3456880817712 3486205654988 3539187503848 3868414248392 3984235034272 5229308482482 5308781255772 5802621372588 5976352551408 6193578131734 6325356389856 6769724934686 6913761635424 6972411309976 7078375007696 7736828496784 9290367197601 10154587402029 10458616964964 10617562511544 11605242745176 11952705102816 12387156263468 13539449869372 13944822619952 14156750015392 15473656993568 18580734395202 20309174804058 20792726585107 20917233929928 21235125023088 23210485490352 24774312526936 27078899738744 27889645239904 37161468790404 40618349608116 41585453170214 41834467859856 42470250046176 46420970980704 49548625053872 54157799477488 62378179755321 74322937580808 81236699216232 83170906340428 83668935719712 99097250107744 108315598954976 124756359510642 145549086095749 148645875161616 162473398432464 166341812680856 249512719021284 291098172191498 297291750323232 324946796864928 332683625361712 436647258287247 499025438042568 582196344382996 665367250723424 873294516574494 998050876085136 1164392688765992 1746589033148988 1996101752170272 2328785377531984 3493178066297976 4657570755063968 6986356132595952 13972712265191904
- Sum of all divisors σ(n): 44089432753766400
- Sum of proper divisors (its aliquot sum) s(n): 30116720488574496
- 13972712265191904 is an abundant number, because the sum of its proper divisors (30116720488574496) is greater than itself. Its abundance is 16144008223382592
Bases of 13972712265191904
- Binary: 1100011010010000011011100101110001110110010001111000002
- Hexadecimal: 0x31A41B971D91E0
- Base-36: 3TKWVEDYEAO
Squares and roots of 13972712265191904
- 13972712265191904 squared (139727122651919042) is 195236688045844268974041947145216
- 13972712265191904 cubed (139727122651919043) is 2727986065673613800756304580093635885099195531264
-
The
square root of 13972712265191904 is 118206227.6920801833 -
The
cube root of 13972712265191904 is 240857.5357060031
Scales and comparisons
How big is 13972712265191904?- 13,972,712,265,191,904 seconds is equal to 444,289,029 years, 31 weeks, 1 hour, 18 minutes, 24 seconds.
-
To count from 1 to 13,972,712,265,191,904 would take you about one billion, three hundred thirty-two million, eight hundred sixty-seven thousand and eighty-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 13972712265191904 cubic inches would be around 20071.5 feet tall.
Recreational maths with 13972712265191904
- 13972712265191904 backwards is 40919156221727931
- The number of decimal digits it has is: 17
- The sum of 13972712265191904's digits is 69
- More coming soon!
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The information we have on file for 13972712265191904 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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