12888514918567936

Names of 12888514918567936

• Cardinal: 12888514918567936 can be written as Twelve quadrillion, eight hundred eighty-eight trillion, five hundred fourteen billion, nine hundred eighteen million, five hundred sixty-seven thousand, nine hundred thirty-six.

Scientific notation

• Scientific notation: 1.2888514918567936 × 10¹⁶

Factors of 12888514918567936

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 2512

Divisors of 12888514918567936

• Number of divisors d(n): 832
• Complete list of divisors:
  1 2 4 8 16 19 31 32 38 41 62 64 76 82 97 124 128 152 164 194 248 256 304 328 388 496 512 589 608 656 776 779 992 1024 1093 1178 1216 1229 1271 1312 1552 1558 1843 1984 2048 2186 2356 2432 2458 2542 2624 3007 3104 3116 3686 3968 3977 4096 4372 4712 4864 4916 5084 5248 6014 6208 6232 7372 7936 7954 8744 9424 9728 9832 10168 10496 12028 12416 12464 14744 15872 15908 17488 18848 19456 19664 20336 20767 20992 23351 24056 24149 24832 24928 29488 31744 31816 33883 34976 37696 38099 38912 39328 40672 41534 41984 44813 46702 48112 48298 49664 49856 50389 57133 58976 63488 63632 67766 69952 75392 75563 76198 77824 78656 81344 83068 83968 89626 93404 96224 96596 99328 99712 100778 106021 114266 117952 119213 123287 126976 127264 135532 139904 150784 151126 152396 157312 162688 166136 167936 179252 186808 192448 193192 198656 199424 201556 212042 228532 235904 238426 246574 254528 271064 279808 301568 302252 304792 314624 325376 332272 358504 373616 384896 386384 397312 398848 403112 424084 457064 471808 476852 493148 509056 542128 559616 603136 604504 609584 629248 643777 650752 664544 717008 723881 747232 769792 772768 797696 806224 848168 851447 914128 943616 953704 957391 986296 1018112 1084256 1119232 1206272 1209008 1219168 1258496 1287554 1301504 1329088 1343297 1389203 1434016 1447762 1494464 1539584 1545536 1562059 1595392 1612448 1696336 1702894 1828256 1887232 1907408 1914782 1972592 2014399 2036224 2168512 2238464 2265047 2342453 2412544 2418016 2438336 2516992 2575108 2603008 2658176 2686594 2778406 2868032 2895524 2988928 3079168 3091072 3124118 3190784 3224896 3286651 3392672 3405788 3656512 3695603 3774464 3814816 3829564 3945184 4028798 4072448 4337024 4346861 4476928 4530094 4684906 4836032 4876672 4887733 5033984 5150216 5206016 5316352 5373188 5556812 5736064 5791048 5977856 6158336 6182144 6248236 6449792 6573302 6785344 6811576 7313024 7391206 7548928 7629632 7659128 7890368 8057596 8144896 8674048 8693722 9060188 9369812 9672064 9753344 9775466 10300432 10632704 10746376 11113624 11472128 11582096 11955712 12316672 12364288 12496472 12899584 13146604 13570688 13623152 14626048 14782412 15259264 15318256 15780736 16115192 16289792 17348096 17387444 18120376 18739624 19344128 19506688 19550932 20600864 21265408 21492752 22227248 22944256 23164192 23911424 24728576 24992944 25522643 25799168 26293208 26394857 27141376 27246304 29252096 29564824 29679121 30518528 30636512 31561472 32230384 34696192 34774888 36240752 37479248 38688256 39013376 39101864 41201728 41642207 42530816 42985504 44454496 45888512 46328384 47822848 49457152 49985888 51045286 51598336 52586416 52789714 54282752 54492608 55075177 58504192 59129648 59358242 61037056 61273024 62446369 63122944 64460768 69392384 69549776 70216457 72481504 74958496 77376512 78026752 78203728 82403456 82590359 83284414 85061632 85971008 88908992 91777024 92656768 92866927 95645696 98914304 99971776 102090572 103196672 105172832 105579428 108565504 108985216 110150354 117008384 118259296 118716484 122074112 122546048 124892738 126245888 128921536 130299809 134752691 138784768 139099552 140432914 144963008 149916992 151519723 154753024 156053504 156407456 164806912 165180718 166568828 171942016 177817984 183554048 185313536 185733854 199943552 204181144 206393344 210345664 211158856 217131008 217970432 220300708 234016768 236518592 237432968 244148224 245092096 249785476 252491776 257843072 260599618 269505382 278199104 280865828 289926016 299833984 303039446 309506048 312814912 329613824 330361436 333137656 343884032 355635968 370627072 371467708 399887104 408362288 420691328 422317712 434262016 435940864 440601416 473037184 474865936 488296448 490184192 499570952 504983552 515686144 521199236 539010764 556398208 561731656 579852032 599667968 606078892 625629824 659227648 660722872 666275312 687768064 711271936 741254144 742935416 791201933 799774208 816724576 841382656 844635424 871881728 881202832 946074368 949731872 980368384 999141904 1031372288 1042398472 1046428363 1078021528 1112796416 1123463312 1159704064 1199335936 1212157784 1251259648 1318455296 1321445744 1332550624 1375536128 1422543872 1482508288 1485870832 1582403866 1599548416 1633449152 1682765312 1689270848 1707330487 1743763456 1762405664 1892148736 1899463744 1960736768 1998283808 2062744576 2084796944 2092856726 2156043056 2225592832 2246926624 2319408128 2398671872 2424315568 2475696371 2502519296 2560301129 2636910592 2642891488 2665101248 2751072256 2845087744 2878874737 2965016576 2971741664 3164807732 3199096832 3266898304 3365530624 3378541696 3414660974 3487526912 3524811328 3784297472 3798927488 3921473536 3996567616 4039294079 4125489152 4169593888 4185713452 4312086112 4451185664 4493853248 4638816256 4797343744 4848631136 4951392742 5005038592 5120602258 5285782976 5330202496 5342292169 5502144512 5690175488 5757749474 5943483328 6329615464 6398193664 6533796608 6731061248 6757083392 6829321948 7049622656 7568594944 7597854976 7993135232 8078588158 8250978304 8339187776 8371426904 8624172224 8902371328 8987706496 9277632512 9594687488 9697262272 9902785484 10010077184 10241204516 10571565952 10660404992 10684584338 11515498948 11886966656 12659230928 13067593216 13462122496 13514166784 13658643896 14099245312 15137189888 15195709952 15986270464 16157176316 16678375552 16742853808 17248344448 17804742656 17975412992 19394524544 19805570968 20020154368 20482409032 21143131904 21320809984 21369168676 23030997896 23773933312 25318461856 26135186432 27028333568 27317287792 28198490624 30391419904 31972540928 32314352632 32439279253 33356751104 33485707616 34496688896 35950825984 38789049088 39611141936 40964818064 42286263808 42641619968 42738337352 46061995792 47547866624 50636923712 52270372864 54056667136 54634575584 56396981248 60782839808 63945081856 64628705264 64878558506 66713502208 66971415232 68993377792 71901651968 76746587501 77578098176 79222283872 81929636128 84572527616 85283239936 85476674704 92123991584 95095733248 101273847424 101503551211 104540745728 108113334272 109269151168 112793962496 121565679616 127890163712 129257410528 129757117012 133427004416 133942830464 137986755584 143803303936 153493175002 155156196352 158444567744 163859272256 165611057239 169145055232 170566479872 170953349408 184247983168 190191466496 202547694848 203007102422 218538302336 225587924992 255780327424 258514821056 259514234024 266854008832 267885660928 275973511168 287606607872 306986350004 310312392704 316889135488 327718544512 331222114478 338290110464 341906698816 368495966336 380382932992 405095389696 406014204844 437076604672 517029642112 519028468048 533708017664 535771321856 551947022336 613972700008 620624785408 633778270976 655437089024 662444228956 683813397632 736991932672 810190779392 812028409688 874153209344 1034059284224 1038056936096 1071542643712 1227945400016 1267556541952 1310874178048 1324888457912 1367626795264 1473983865344 1620381558784 1624056819376 1748306418688 2068118568448 2076113872192 2143085287424 2455890800032 2535113083904 2621748356096 2649776915824 2735253590528 2947967730688 3146610087541 3240763117568 3248113638752 3496612837376 4136237136896 4152227744384 4286170574848 4911781600064 5070226167808 5243496712192 5299553831648 5470507181056 5895935461376 6293220175082 6496227277504 6993225674752 8272474273792 8304455488768 9823563200128 10140452335616 10486993424384 10599107663296 10941014362112 11791870922752 12586440350164 12992454555008 16544948547584 16608910977536 19647126400256 21198215326592 21882028724224 25172880700328 25984909110016 33217821955072 39294252800512 42396430653184 50345761400656 51969818220032 66435643910144 78588505601024 84792861306368 100691522801312 103939636440064 132871287820288 157177011202048 169585722612736 201383045602624 207879272880128 314354022404096 339171445225472 402766091205248 415758545760256 678342890450944 805532182410496 1611064364820992 3222128729641984 6444257459283968 12888514918567936
• Sum of all divisors σ(n): 29034523261900800
• Sum of proper divisors (its aliquot sum) s(n): 16146008343332864
• 12888514918567936 is an abundant number, because the sum of its proper divisors (16146008343332864) is greater than itself. Its abundance is 3257493424764928

Bases of 12888514918567936

• Binary: 101101110010100000100100111001011001110101000000000000₂
• Hexadecimal: 0x2DCA0939675000
• Base-36: 3IWLI0IX69S

Squares and roots of 12888514918567936

• 12888514918567936 squared (12888514918567936²) is 166113816806148249941261047300096
• 12888514918567936 cubed (12888514918567936³) is 2140960406086302850149152244338230952991555321856
• The square root of 12888514918567936 is 113527595.4055573927
• The cube root of 12888514918567936 is 234459.3875478063

Scales and comparisons

• 12,888,514,918,567,936 seconds is equal to 409,814,907 years, 32 weeks, 7 hours, 32 minutes, 16 seconds.
• To count from 1 to 12,888,514,918,567,936 would take you about one billion, two hundred twenty-nine million, four hundred forty-four thousand, seven hundred twenty-two 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 12888514918567936 cubic inches would be around 19538.3 feet tall.

Recreational maths with 12888514918567936

• 12888514918567936 backwards is 63976581941588821
• The number of decimal digits it has is: 17
• The sum of 12888514918567936's digits is 91
• More coming soon!