13977679815945216

Names of 13977679815945216

• Cardinal: 13977679815945216 can be written as Thirteen quadrillion, nine hundred seventy-seven trillion, six hundred seventy-nine billion, eight hundred fifteen million, nine hundred forty-five thousand, two hundred sixteen.

Scientific notation

• Scientific notation: 1.3977679815945216 × 10¹⁶

Factors of 13977679815945216

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 323

Divisors of 13977679815945216

• Number of divisors d(n): 1056
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 84 96 98 108 112 126 128 144 147 168 189 192 196 216 224 252 256 288 294 311 336 343 378 384 392 432 441 448 504 512 576 588 622 672 686 756 768 784 864 882 896 933 1008 1024 1029 1152 1176 1244 1323 1344 1372 1512 1536 1568 1728 1764 1792 1866 2016 2058 2177 2304 2352 2401 2488 2646 2688 2744 2799 3024 3072 3087 3136 3456 3528 3584 3732 4032 4116 4354 4608 4704 4802 4976 5292 5376 5488 5598 6048 6174 6272 6531 6912 7056 7168 7203 7464 8064 8232 8397 8708 9216 9261 9408 9604 9952 10584 10752 10976 11196 12096 12348 12544 13062 13824 14112 14406 14928 15239 16128 16464 16794 16807 17416 18522 18816 19208 19593 19904 21168 21504 21609 21952 22392 24192 24696 25088 26124 27648 28224 28812 29856 30478 32256 32928 33588 33614 34832 37044 37632 38416 39186 39808 42336 43218 43904 44784 45717 48384 49392 50176 50421 52248 56448 57624 58779 59712 60956 64512 64827 65856 67176 67228 69664 74088 75264 76832 78372 79616 84672 86436 87808 89568 91434 96721 96768 98784 100842 104496 106673 112896 115248 117558 119424 121912 129654 131712 134352 134456 137151 139328 148176 150528 151263 153664 156744 159232 169344 172872 175616 179136 182868 193442 193536 197568 201684 208992 213346 225792 230496 235116 238848 243824 259308 263424 268704 268912 274302 278656 290163 296352 302526 307328 313488 318464 320019 338688 345744 351232 358272 365736 386884 395136 403368 411453 417984 426692 451584 453789 460992 470232 477696 487648 518616 526848 537408 537824 548604 557312 580326 592704 605052 614656 626976 640038 677047 677376 691488 716544 731472 746711 773768 790272 806736 822906 835968 853384 870489 907578 921984 940464 955392 960057 975296 1037232 1053696 1074816 1075648 1097208 1114624 1160652 1185408 1210104 1229312 1253952 1280076 1354094 1354752 1382976 1433088 1462944 1493422 1547536 1580544 1613472 1645812 1671936 1706768 1740978 1815156 1843968 1880928 1920114 1950592 2031141 2074464 2149632 2151296 2194416 2229248 2240133 2321304 2370816 2420208 2458624 2507904 2560152 2611467 2708188 2765952 2866176 2880171 2925888 2986844 3095072 3161088 3226944 3291624 3343872 3413536 3481956 3630312 3687936 3761856 3840228 3901184 4062282 4148928 4299264 4302592 4388832 4480266 4642608 4739329 4741632 4840416 5015808 5120304 5222934 5226977 5416376 5531904 5760342 5851776 5973688 6093423 6190144 6453888 6583248 6687744 6720399 6827072 6963912 7260624 7375872 7523712 7680456 7802368 8124564 8297856 8598528 8605184 8777664 8960532 9285216 9478658 9483264 9680832 10031616 10240608 10445868 10453954 10832752 11063808 11520684 11703552 11947376 12186846 12380288 12907776 13166496 13440798 13654144 13927824 14217987 14521248 15047424 15360912 15604736 15680931 16249128 16595712 17210368 17555328 17921064 18280269 18570432 18957316 19361664 20063232 20161197 20481216 20891736 20907908 21665504 22127616 23041368 23407104 23894752 24373692 24760576 25815552 26332992 26881596 27308288 27855648 28435974 29042496 30080231 30094848 30721824 31361862 32498256 33175303 33191424 35110656 35842128 36560538 37140864 37914632 38723328 40322394 40962432 41783472 41815816 42653961 43331008 46082736 46814208 47042793 47789504 48747384 49521152 51631104 52665984 53763192 54616576 55711296 56871948 58084992 60160462 60189696 61443648 62723724 64996512 66350606 66382848 70221312 71684256 73121076 74281728 75829264 77446656 80644788 81924864 83566944 83631632 85307922 86662016 90240693 92165472 94085586 95579008 97494768 99042304 99525909 105331968 107526384 109233152 111422592 113743896 116169984 120320924 122887296 125447448 127961883 129993024 132701212 140442624 141128379 143368512 146242152 148563456 151658528 154893312 161289576 163849728 167133888 167263264 170615844 173324032 180481386 184330944 188171172 191158016 194989536 199051818 210561617 210663936 215052768 222845184 227487792 232227121 232339968 240641848 245774592 250894896 255923766 259986048 265402424 270722079 282256758 286737024 292484304 297126912 298577727 303317056 322579152 327699456 334267776 334526528 341231688 346648064 360962772 368661888 376342344 382316032 389979072 398103636 421123234 421327872 430105536 445690368 454975584 464454242 464679936 481283696 491549184 501789792 511847532 519972096 530804848 541444158 564513516 573474048 584968608 597155454 606634112 631684851 645158304 668535552 669053056 682463376 693296128 696681363 721925544 737323776 752684688 764632064 779958144 796207272 812166237 842246468 860211072 891380736 895733181 909951168 928908484 962567392 983098368 1003579584 1023695064 1039944192 1061609696 1082888316 1129027032 1146948096 1169937216 1194310908 1213268224 1263369702 1290316608 1337071104 1338106112 1364926752 1393362726 1443851088 1473931319 1474647552 1505369376 1559916288 1592414544 1624332474 1625589847 1684492936 1720422144 1791466362 1819902336 1857816968 1895054553 1925134784 2007159168 2047390128 2079888384 2090044089 2123219392 2165776632 2258054064 2293896192 2339874432 2388621816 2426536448 2526739404 2580633216 2674142208 2676212224 2729853504 2786725452 2887702176 2947862638 2949295104 3010738752 3119832576 3184829088 3248664948 3251179694 3368985872 3440844288 3582932724 3639804672 3715633936 3790109106 3850269568 4014318336 4094780256 4180088178 4246438784 4331553264 4421793957 4516108128 4679748864 4777243632 4853072896 4876769541 5053478808 5161266432 5352424448 5459707008 5573450904 5685163659 5775404352 5895725276 6021477504 6239665152 6270132267 6369658176 6497329896 6502359388 6737971744 6881688576 7165865448 7279609344 7431267872 7580218212 7700539136 8028636672 8189560512 8360176356 8492877568 8663106528 8843587914 9032216256 9359497728 9554487264 9753539082 10106957616 10317519233 10322532864 10919414016 11146901808 11370327318 11550808704 11791450552 12042955008 12540264534 12739316352 12994659792 13004718776 13265381871 13475943488 14331730896 14559218688 14630308623 14862535744 15160436424 15401078272 16057273344 16379121024 16720352712 16985755136 17326213056 17687175828 18064432512 18718995456 19108974528 19507078164 20213915232 20635038466 20645065728 21838828032 22293803616 22740654636 23101617408 23582901104 24085910016 25080529068 25478632704 25989319584 26009437552 26530763742 26951886976 28663461792 29260617246 29725071488 30320872848 30802156544 30952557699 32758242048 33440705424 33971510272 34652426112 35374351656 36128865024 38217949056 39014156328 39796145613 40427830464 41270076932 43677656064 43890925869 44587607232 45481309272 46203234816 47165802208 48171820032 50161058136 50957265408 51978639168 52018875104 53061527484 53903773952 57326923584 58521234492 59450142976 60641745696 61905115398 65516484096 66881410848 69304852224 70748703312 72222634631 72257730048 76435898112 78028312656 79592291226 80855660928 82540153864 87781851738 89175214464 90962618544 92406469632 92857673097 94331604416 100322116272 101914530816 103957278336 104037750208 106123054968 107807547904 114653847168 117042468984 118900285952 121283491392 123810230796 131032968192 133762821696 138609704448 141497406624 144445269262 144515460096 152871796224 156056625312 159184582452 161711321856 165080307728 175563703476 178350428928 181925237088 185715346194 188663208832 200644232544 207914556672 208075500416 212246109936 215615095808 216667903893 229307694336 234084937968 237800571904 242566982784 247620461592 267525643392 277219408896 278573019291 282994813248 288890538524 305743592448 312113250624 318369164904 323422643712 330160615456 351127406952 356700857856 363850474176 371430692388 377326417664 401288465088 415829113344 416151000832 424492219872 433335807786 458615388672 468169875936 485133965568 495240923184 505558442417 535051286784 557146038582 565989626496 577781077048 624226501248 636738329808 646845287424 650003711679 660321230912 702254813904 713401715712 727700948352 742861384776 754652835328 802576930176 831658226688 832302001664 848984439744 866671615572 917230777344 936339751872 970267931136 990481846368 1011116884834 1070102573568 1114292077164 1131979252992 1155562154096 1248453002496 1273476659616 1300007423358 1320642461824 1404509627808 1455401896704 1485722769552 1509305670656 1516675327251 1605153860352 1664604003328 1697968879488 1733343231144 1872679503744 1940535862272 1950011135037 1980963692736 2022233769668 2140205147136 2228584154328 2263958505984 2311124308192 2496906004992 2546953319232 2600014846716 2641284923648 2809019255616 2910803793408 2971445539104 3033350654502 3210307720704 3395937758976 3466686462288 3745359007488 3900022270074 3961927385472 4044467539336 4457168308656 4527917011968 4550025981753 4622248616384 4993812009984 5093906638464 5200029693432 5282569847296 5618038511232 5821607586816 5942891078208 6066701309004 6420615441408 6791875517952 6933372924576 7490718014976 7800044540148 7923854770944 8088935078672 8914336617312 9100051963506 9244497232768 10187813276928 10400059386864 10565139694592 11236077022464 11885782156416 12133402618008 13583751035904 13650077945259 13866745849152 14981436029952 15600089080296 15847709541888 16177870157344 17828673234624 18200103927012 18488994465536 20375626553856 20800118773728 22472154044928 23771564312832 24266805236016 27300155890518 27733491698304 31200178160592 31695419083776 32355740314688 35657346469248 36400207854024 36977988931072 40751253107712 41600237547456 44944308089856 47543128625664 48533610472032 54600311781036 55466983396608 62400356321184 64711480629376 71314692938496 72800415708048 73955977862144 83200475094912 95086257251328 97067220944064 109200623562072 110933966793216 124800712642368 129422961258752 142629385876992 145600831416096 166400950189824 194134441888128 218401247124144 221867933586432 249601425284736 258845922517504 285258771753984 291201662832192 332801900379648 388268883776256 436802494248288 499202850569472 517691845035008 582403325664384 665603800759296 776537767552512 873604988496576 998405701138944 1164806651328768 1553075535105024 1747209976993152 1996811402277888 2329613302657536 3494419953986304 4659226605315072 6988839907972608 13977679815945216
• Sum of all divisors σ(n): 48449689090882560
• Sum of proper divisors (its aliquot sum) s(n): 34472009274937344
• 13977679815945216 is an abundant number, because the sum of its proper divisors (34472009274937344) is greater than itself. Its abundance is 20494329458992128

Bases of 13977679815945216

• Binary: 110001101010001010000000110000001101101010110000000000₂
• Hexadecimal: 0x31A8A03036AC00
• Base-36: 3TMO9GLEYO0

Squares and roots of 13977679815945216

• 13977679815945216 squared (13977679815945216²) is 195375533037082287433923513286656
• 13977679815945216 cubed (13977679815945216³) is 2730896644661962815394359609319919327583399837696
• The square root of 13977679815945216 is 118227238.0458294221
• The cube root of 13977679815945216 is 240886.0753874697

Scales and comparisons

• 13,977,679,815,945,216 seconds is equal to 444,446,982 years, 17 weeks, 6 days, 10 hours, 33 minutes, 36 seconds.
• To count from 1 to 13,977,679,815,945,216 would take you about one billion, three hundred thirty-three million, three hundred forty thousand, nine hundred forty-seven 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 13977679815945216 cubic inches would be around 20073.8 feet tall.

Recreational maths with 13977679815945216

• 13977679815945216 backwards is 61254951897677931
• The number of decimal digits it has is: 17
• The sum of 13977679815945216's digits is 90
• More coming soon!