13981996821772672
13,981,996,821,772,672 is an even composite number composed of five prime numbers multiplied together.
What does the number 13981996821772672 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1008 divisors.
13981996821772672 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 13981996821772672:
27 × 72 × 11 × 236 × 372
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 11 × 23 × 23 × 23 × 23 × 23 × 23 × 37 × 37)See below for interesting mathematical facts about the number 13981996821772672 from the Numbermatics database.
Names of 13981996821772672
- Cardinal: 13981996821772672 can be written as Thirteen quadrillion, nine hundred eighty-one trillion, nine hundred ninety-six billion, eight hundred twenty-one million, seven hundred seventy-two thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 1.3981996821772672 × 1016
Factors of 13981996821772672
Divisors of 13981996821772672
- Number of divisors d(n): 1008
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Complete list of divisors:
1 2 4 7 8 11 14 16 22 23 28 32 37 44 46 49 56 64 74 77 88 92 98 112 128 148 154 161 176 184 196 224 253 259 296 308 322 352 368 392 407 448 506 518 529 539 592 616 644 704 736 784 814 851 896 1012 1036 1058 1078 1127 1184 1232 1288 1369 1408 1472 1568 1628 1702 1771 1813 2024 2072 2116 2156 2254 2368 2464 2576 2738 2849 2944 3136 3256 3404 3542 3626 3703 4048 4144 4232 4312 4508 4736 4928 5152 5476 5698 5819 5957 6272 6512 6808 7084 7252 7406 8096 8288 8464 8624 9016 9361 9583 9856 10304 10952 11396 11638 11914 12167 12397 13024 13616 14168 14504 14812 15059 16192 16576 16928 17248 18032 18722 19166 19573 19943 20608 21904 22792 23276 23828 24334 24794 25921 26048 27232 28336 29008 29624 30118 31487 32384 33152 33856 34496 36064 37444 38332 39146 39886 40733 41699 43808 45584 46552 47656 48668 49588 51842 52096 54464 56672 58016 59248 60236 62974 65527 67081 67712 68992 72128 74888 76664 78292 79772 81466 83398 85169 87616 91168 93104 95312 97336 99176 103684 105413 108928 113344 116032 118496 120472 125948 131054 133837 134162 137011 144256 149776 153328 156584 159544 162932 166796 170338 175232 182336 186208 190624 194672 198352 207368 210826 215303 220409 226688 232064 236992 240944 251896 262108 267674 268324 274022 279841 285131 299552 306656 313168 319088 325864 333592 340676 346357 364672 372416 381248 389344 396704 414736 421652 430606 440818 450179 458689 473984 481888 503792 524216 535348 536648 548044 559682 570262 596183 599104 613312 626336 638176 651728 667184 681352 692714 724201 737891 744832 762496 778688 793408 829472 843304 861212 881636 900358 917378 936859 959077 963776 1007584 1048432 1070696 1073296 1096088 1119364 1140524 1192366 1198208 1226624 1252672 1276352 1303456 1334368 1362704 1385428 1448402 1475782 1507121 1542863 1557376 1586816 1658944 1686608 1722424 1763272 1800716 1834756 1873718 1918154 1927552 1958887 2015168 2096864 2141392 2146592 2192176 2238728 2281048 2384732 2424499 2505344 2552704 2606912 2668736 2725408 2770856 2896804 2951564 3014242 3078251 3085726 3151253 3317888 3373216 3444848 3526544 3601432 3669512 3747436 3836308 3917774 4030336 4193728 4282784 4293184 4384352 4477456 4562096 4769464 4848998 4951969 5069407 5213824 5337472 5450816 5541712 5793608 5903128 6028484 6156502 6171452 6302506 6436343 6558013 6746432 6889696 7053088 7202864 7339024 7494872 7672616 7835548 7966211 8387456 8565568 8586368 8768704 8954912 9124192 9538928 9697996 9903938 10138814 10354117 10549847 10901632 11083424 11587216 11806256 12056968 12313004 12342904 12605012 12872686 13116026 13492864 13712209 13779392 14106176 14405728 14678048 14989744 15345232 15671096 15932422 16656623 16971493 17131136 17537408 17909824 18248384 19077856 19395992 19807876 20277628 20708234 21099694 21547757 22058771 22166848 23174432 23612512 24113936 24626008 24685808 25210024 25745372 26232052 27424418 27558784 28212352 28811456 29356096 29979488 30690464 31342192 31864844 33313246 33942986 34663783 35485849 35819648 36496768 38155712 38791984 39615752 40555256 41416468 42199388 43095514 44117542 44333696 45054401 46348864 47225024 48227872 49252016 49371616 50420048 51490744 52464104 54848836 55763477 57622912 58712192 59958976 61380928 62684384 63729688 66626492 67885972 69327566 70799773 70971698 72478819 76311424 77583968 79231504 81110512 82832936 84398776 86191028 88235084 90108802 92697728 94450048 96455744 98504032 98743232 100840096 102981488 104928208 109697672 111526954 113895287 116596361 119917952 122761856 125368768 127459376 133252984 135771944 138655132 141599546 141943396 144957638 148035889 150834299 155167936 158463008 162221024 165665872 168797552 172382056 176470168 180217604 183222853 192911488 197008064 197486464 201680192 205962976 209856416 219395344 223053908 227790574 233192722 238144691 242646481 250737536 254918752 266505968 271543888 277310264 283199092 283886792 289915276 296071778 301668598 310335872 315380807 316926016 324442048 331331744 337595104 344764112 352940336 360435208 366445706 383102329 390344339 394016128 403360384 411925952 419712832 438790688 446107816 455581148 466385444 476289382 485292962 495598411 507351733 509837504 533011936 543087776 554620528 566398184 567773584 579830552 592143556 603337196 630761614 633852032 648884096 662663488 675190208 689528224 705880672 720870416 732891412 766204658 780688678 797267009 816174527 823851904 839425664 877581376 892215632 911162296 932770888 952578764 970585924 991196822 1014703466 1019675008 1036251223 1066023872 1086175552 1109241056 1132796368 1135547168 1159661104 1184287112 1206674392 1261523228 1282559971 1325326976 1350380416 1379056448 1411761344 1441740832 1465782824 1532409316 1561377356 1594534018 1628394779 1632349054 1667012837 1755162752 1784431264 1822324592 1865541776 1905157528 1941171848 1982393644 2029406932 2072502446 2132047744 2172351104 2218482112 2265592736 2271094336 2319322208 2368574224 2413348784 2523046456 2565119942 2619591601 2681716303 2758112896 2823522688 2883481664 2931565648 3064818632 3122754712 3189068036 3256789558 3264698108 3334025674 3469188877 3568862528 3644649184 3731083552 3810315056 3882343696 3964787288 4058813864 4145004892 4214125619 4436964224 4531185472 4542188672 4638644416 4737148448 4826697568 5046092912 5130239884 5239183202 5363432606 5477327893 5580869063 5766963328 5863131296 6129637264 6245509424 6378136072 6513579116 6529396216 6668051348 6938377754 7137725056 7253758561 7289298368 7462167104 7620630112 7764687392 7929574576 8117627728 8290009784 8428251238 8811353567 8977919797 9062370944 9277288832 9474296896 9653395136 10092185824 10260479768 10478366404 10726865212 10954655786 11161738126 11398763453 11669089859 11726262592 12259274528 12491018848 12756272144 13027158232 13058792432 13336102696 13876755508 14507517122 14578596736 14924334208 15241260224 15529374784 15859149152 16235255456 16580019568 16856502476 17622707134 17955839594 18337141207 18772014121 18948593792 19306790272 20184371648 20520959536 20956732808 21453730424 21909311572 22323476252 22797526906 23338179718 23452525184 24518549056 24982037696 25512544288 26054316464 26117584864 26672205392 27753511016 29015034244 29498879333 30482520448 31058749568 31718298304 32470510912 33160039136 33713004952 35245414268 35911679188 36674282414 37544028242 38341295251 40368743296 41041919072 41913465616 42907460848 43818623144 44646952504 45595053812 46676359436 49037098112 49964075392 51025088576 52108632928 52235169728 53344410784 55507022032 58030068488 58997758666 60250606823 61679474969 63436596608 64941021824 66320078272 67426009904 70490828536 71823358376 73348564828 75088056484 76682590502 79791344171 82083838144 83826931232 85814921696 87637246288 89293905008 91190107624 93352718872 96924889237 102050177152 104217265856 104470339456 106688821568 111014044064 116060136976 117995517332 120501213646 123358949938 128359988449 132640156544 134852019808 140981657072 143646716752 146697129656 150176112968 153365181004 159582688342 164167676288 167653862464 171629843392 175274492576 178587810016 182380215248 186705437744 193849778474 202661132041 206492155331 208434531712 213377643136 222028088128 232120273952 235991034664 241002427292 246717899876 256719976898 268389066757 269704039616 281963314144 287293433504 293394259312 300352225936 306730362008 319165376684 335307724928 343259686784 350548985152 357175620032 364760430496 373410875488 387699556948 405322264082 412984310662 421754247761 431756324783 444056176256 464240547904 471982069328 482004854584 493435799752 513439953796 536778133514 539408079232 563926628288 574586867008 586788518624 600704451872 613460724016 638330753368 678474224659 701097970304 714351240064 729520860992 746821750976 775399113896 810644528164 825968621324 843508495522 863512649566 928481095808 943964138656 964009709168 986871599504 1026879907592 1073556267028 1127853256576 1149173734016 1173577037248 1201408903744 1226921448032 1276661506736 1356948449318 1418627924287 1459041721984 1493643501952 1550798227792 1621289056328 1651937242648 1687016991044 1727025299132 1887928277312 1928019418336 1973743199008 2053759815184 2147112534056 2229272452451 2347154074496 2402817807488 2453842896064 2553323013472 2713896898636 2837255848574 2952279734327 3101596455584 3242578112656 3303874485296 3374033982088 3454050598264 3775856554624 3856038836672 3947486398016 4107519630368 4294225068112 4458544904902 4749319572613 4907685792128 5106646026944 5427793797272 5674511697148 5904559468654 6203192911168 6485156225312 6607748970592 6748067964176 6908101196528 7712077673344 7894972796032 8215039260736 8588450136224 8917089809804 9498639145226 9930395470009 10213292053888 10855587594544 11349023394296 11809118937308 12406385822336 12970312450624 13215497941184 13496135928352 13816202393056 15604907167157 16430078521472 17176900272448 17834179619608 18997278290452 19860790940018 21711175189088 22698046788592 23618237874616 25940624901248 26430995882368 26992271856704 27632404786112 31209814334314 34353800544896 35668359239216 37994556580904 39721581880036 43422350378176 45396093577184 47236475749232 53984543713408 55264809572224 62419628668628 71336718478432 75989113161808 79443163760072 86844700756352 90792187154368 94472951498464 109234350170099 124839257337256 142673436956864 151978226323616 158886327520144 181584374308736 188945902996928 218468700340198 249678514674512 285346873913728 303956452647232 317772655040288 377891805993856 436937400680396 499357029349024 607912905294464 635545310080576 873874801360792 998714058698048 1271090620161152 1747749602721584 1997428117396096 3495499205443168 6990998410886336 13981996821772672
- Sum of all divisors σ(n): 37980663799449420
- Sum of proper divisors (its aliquot sum) s(n): 23998666977676748
- 13981996821772672 is an abundant number, because the sum of its proper divisors (23998666977676748) is greater than itself. Its abundance is 10016670155904076
Bases of 13981996821772672
- Binary: 1100011010110010001101010100011100111111111001100000002
- Hexadecimal: 0x31AC8D51CFF980
- Base-36: 3TO7CNZ81OG
Squares and roots of 13981996821772672
- 13981996821772672 squared (139819968217726722) is 195496235124061100936948446019584
- 13981996821772672 cubed (139819968217726723) is 2733427738173145320895951832669867421425308008448
-
The
square root of 13981996821772672 is 118245493.8751268947 -
The
cube root of 13981996821772672 is 240910.8720529365
Scales and comparisons
How big is 13981996821772672?- 13,981,996,821,772,672 seconds is equal to 444,584,249 years, 40 weeks, 2 days, 15 hours, 57 minutes, 52 seconds.
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To count from 1 to 13,981,996,821,772,672 would take you about one billion, three hundred thirty-three million, seven hundred fifty-two thousand, seven hundred forty-nine 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 13981996821772672 cubic inches would be around 20075.9 feet tall.
Recreational maths with 13981996821772672
- 13981996821772672 backwards is 27627712869918931
- 13981996821772672 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13981996821772672's digits is 88
- More coming soon!
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The information we have on file for 13981996821772672 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 13981996821772672, math, Factors of 13981996821772672, curriculum, school, college, exams, university, Prime factorization of 13981996821772672, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, nine hundred eighty-one trillion, nine hundred ninety-six billion, eight hundred twenty-one million, seven hundred seventy-two thousand, six hundred seventy-two.