13977591037768384

Names of 13977591037768384

• Cardinal: 13977591037768384 can be written as Thirteen quadrillion, nine hundred seventy-seven trillion, five hundred ninety-one billion, thirty-seven million, seven hundred sixty-eight thousand, three hundred eighty-four.

Scientific notation

• Scientific notation: 1.3977591037768384 × 10¹⁶

Factors of 13977591037768384

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 17326

Divisors of 13977591037768384

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 4 8 13 16 19 26 32 38 43 47 52 64 76 86 94 104 152 169 172 188 208 247 304 338 344 376 416 494 559 608 611 676 688 752 817 832 893 988 1118 1216 1222 1352 1376 1504 1634 1786 1976 2021 2236 2251 2444 2704 2752 3008 3211 3268 3572 3952 4042 4472 4502 4888 5408 6422 6536 7144 7267 7904 7943 8084 8944 9004 9776 10621 10816 11609 12844 13072 14288 14534 14951 15808 15886 16168 17888 18008 19552 21242 23218 25688 26144 26273 28576 29068 29263 29902 31772 32336 35776 36016 38399 39104 42484 42769 46436 51376 52288 52546 57152 58136 58526 59804 63544 64672 72032 76798 84968 85538 92872 96793 102752 105092 105797 116272 117052 119608 127088 129344 138073 144064 150917 153596 169936 171076 185744 193586 194363 205504 210184 211594 232544 234104 239216 254176 276146 284069 301834 307192 339872 341549 342152 371488 380419 387172 388726 420368 423188 465088 468208 478432 499187 508352 552292 555997 568138 603668 614384 642893 679744 683098 684304 702697 742976 760838 774344 777452 840736 846376 936416 956864 998374 1104584 1111994 1136276 1207336 1228768 1258309 1285786 1366196 1368608 1375361 1405394 1521676 1548688 1554904 1681472 1692752 1839067 1872832 1996748 2010143 2209168 2223988 2272552 2414672 2457536 2516618 2526719 2571572 2732392 2737216 2750722 2810788 3043352 3097376 3109808 3385504 3678134 3692897 3993496 4020286 4418336 4447976 4545104 4549271 4829344 5033236 5053438 5143144 5464784 5501444 5621576 6086704 6194752 6219616 6489431 6771008 7227961 7356268 7385794 7986992 8040572 8357609 8836672 8895952 9090208 9098542 9135061 9658688 10066472 10106876 10286288 10929568 11002888 11243152 12173408 12214967 12439232 12978862 13351243 14455922 14712536 14771588 15973984 16081144 16358017 16715218 17791904 17879693 18180416 18197084 18270122 20132944 20213752 20572576 21859136 22005776 22486304 23907871 24346816 24429934 25957724 26131859 26702486 28911844 29425072 29543176 30215971 31947968 32162288 32716034 33430436 33654701 35583808 35759386 36394168 36540244 40265888 40427504 41145152 44011552 44972608 47815742 48007661 48859868 51915448 52263718 53404972 57823688 58850144 59086352 59140523 60431942 64324576 65432068 66860872 67309402 71518772 72788336 73080488 80531776 80855008 86436149 88023104 95631484 96015322 97719736 103830896 104527436 106809944 108648917 115647376 117700288 118172704 118281046 118755793 120863884 128649152 130864136 133721744 134618804 143037544 145576672 146160976 158794571 161710016 172872298 173566159 191262968 192030644 195439472 207661792 209054872 213619888 217297834 231294752 236345408 236562092 237511586 241727768 261728272 267443488 269237608 286075088 291153344 292321952 310802323 317589142 339714167 345744596 347132318 382525936 384061288 390878944 392807623 415323584 418109744 427239776 434595668 437511113 462589504 473124184 475023172 483455536 523456544 534886976 538475216 572150176 574103449 584643904 621604646 635178284 639439319 679428334 691489192 694264636 765051872 768122576 768826799 781757888 785615246 836219488 854479552 869191336 875022226 946248368 950046344 966911072 1046913088 1076950432 1123669937 1144300352 1148206898 1243209292 1270356568 1278878638 1358856668 1382978384 1388529272 1447152143 1530103744 1536245152 1537653598 1571230492 1581770947 1672438976 1738382672 1750044452 1892496736 1900092688 1933822144 2064329423 2153900864 2247339874 2256360067 2296413796 2486418584 2540713136 2557757276 2717713336 2765956768 2777058544 2894304286 3072490304 3075307196 3142460984 3163541894 3476765344 3500088904 3784993472 3800185376 4128658846 4494679748 4512720134 4592827592 4972837168 5081426272 5106499099 5115514552 5435426672 5531913536 5554117088 5687644469 5788608572 6150614392 6284921968 6327083788 6953530688 7000177808 7463344837 7600370752 8257317692 8312711147 8989359496 9025440268 9185655184 9945674336 10162852544 10212998198 10231029104 10870853344 11108234176 11375288938 11577217144 12301228784 12569843936 12654167576 14000355616 14607709181 14926689674 16514635384 16625422294 17978718992 18050880536 18371310368 18812977859 19891348672 20425996396 20462058208 20563022311 21741706688 22750577876 23154434288 24602457568 25139687872 25308335152 27495890717 28000711232 29215418362 29853379348 30053647993 33029270768 33250844588 35957437984 36101761072 36742620736 37625955718 40851992792 40924116416 41126044622 45501155752 46308868576 49204915136 50616670304 54991781434 58430836724 59706758696 60107295986 66058541536 66501689176 68016150721 71914875968 72203522144 75251911436 81703985584 82252089244 91002311504 92617737152 97023482881 101233340608 108065244911 109983562868 116861673448 119413517392 120214591972 132117083072 133003378352 136032301442 144407044288 150503822872 163407971168 164504178488 182004623008 194046965762 216130489822 219967125736 233723346896 238827034784 240429183944 244568712167 266006756704 267319290043 272064602884 301007645744 326815942336 329008356976 357446579321 364009246016 388093931524 390697423909 432260979644 439934251472 467446693792 477654069568 480858367888 489137424334 532013513408 534638580086 544129205768 602015291488 658016713952 714893158642 776187863048 781394847818 864521959288 879868502944 884209959373 934893387584 961716735776 978274848668 1069277160172 1088258411536 1204030582976 1292306863699 1316033427904 1429786317284 1552375726096 1562789695636 1729043918576 1759737005888 1768419918746 1923433471552 1956549697336 2138554320344 2176516823072 2584613727398 2859572634568 3104751452192 3125579391272 3458087837152 3536839837492 3913099394672 4277108640688 4353033646144 4646805531173 5079066510817 5169227454796 5719145269136 6209502904384 6251158782544 6916175674304 7073679674984 7826198789344 8554217281376 9293611062346 10158133021634 10338454909592 11438290538272 11494729471849 12502317565088 14147359349968 15652397578688 16799989228087 17108434562752 18587222124692 20316266043268 20676909819184 22876581076544 22989458943698 25004635130176 28294718699936 33599978456174 37174444249384 40632532086536 41353819638368 45978917887396 56589437399872 67199956912348 74348888498768 81265064173072 82707639276736 91957835774792 134399913824696 148697776997536 162530128346144 183915671549584 218399859965131 268799827649392 297395553995072 325060256692288 367831343099168 436799719930262 537599655298784 735662686198336 873599439860524 1075199310597568 1747198879721048 3494397759442096 6988795518884192 13977591037768384
• Sum of all divisors σ(n): 33055702769295360
• Sum of proper divisors (its aliquot sum) s(n): 19078111731526976
• 13977591037768384 is an abundant number, because the sum of its proper divisors (19078111731526976) is greater than itself. Its abundance is 5100520693758592

Bases of 13977591037768384

• Binary: 110001101010001000101110000100100111110011001011000000₂
• Hexadecimal: 0x31A88B849F32C0
• Base-36: 3TMN4OD6J0G

Squares and roots of 13977591037768384

• 13977591037768384 squared (13977591037768384²) is 195373051219103049992338829971456
• 13977591037768384 cubed (13977591037768384³) is 2730844609741598241340217426441403630968659247104
• The square root of 13977591037768384 is 118226862.5895501975
• The cube root of 13977591037768384 is 240885.5653964899

Scales and comparisons

• 13,977,591,037,768,384 seconds is equal to 444,444,159 years, 24 weeks, 4 days, 5 hours, 53 minutes, 4 seconds.
• To count from 1 to 13,977,591,037,768,384 would take you about one billion, three hundred thirty-three million, three hundred thirty-two thousand, four hundred seventy-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 13977591037768384 cubic inches would be around 20073.8 feet tall.

Recreational maths with 13977591037768384

• 13977591037768384 backwards is 48386773019577931
• The number of decimal digits it has is: 17
• The sum of 13977591037768384's digits is 88
• More coming soon!