12828993874034688

Names of 12828993874034688

• Cardinal: 12828993874034688 can be written as Twelve quadrillion, eight hundred twenty-eight trillion, nine hundred ninety-three billion, eight hundred seventy-four million, thirty-four thousand, six hundred eighty-eight.

Scientific notation

• Scientific notation: 1.2828993874034688 × 10¹⁶

Factors of 12828993874034688

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 27
• Sum of prime factors: 3053

Divisors of 12828993874034688

• Number of divisors d(n): 756
• 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 98 108 112 126 128 144 147 168 189 192 196 216 224 252 256 288 294 336 378 384 392 432 441 448 504 512 576 588 672 756 768 784 864 882 896 1008 1024 1152 1176 1323 1344 1512 1536 1568 1728 1764 1792 2016 2048 2304 2352 2646 2688 3024 3041 3072 3136 3456 3528 3584 4032 4096 4608 4704 5292 5376 6048 6082 6144 6272 6912 7056 7168 8064 8192 9123 9216 9408 10584 10752 12096 12164 12288 12544 13824 14112 14336 16128 16384 18246 18432 18816 21168 21287 21504 24192 24328 24576 25088 27369 27648 28224 28672 32256 32768 36492 36864 37632 42336 42574 43008 48384 48656 49152 50176 54738 55296 56448 57344 63861 64512 65536 72984 73728 75264 82107 84672 85148 86016 96768 97312 98304 100352 109476 110592 112896 114688 127722 129024 131072 145968 147456 149009 150528 164214 169344 170296 172032 191583 193536 194624 196608 200704 218952 221184 225792 229376 255444 258048 262144 291936 294912 298018 301056 328428 338688 340592 344064 383166 387072 389248 393216 401408 437904 442368 447027 451584 458752 510888 516096 524288 574749 583872 589824 596036 602112 656856 677376 681184 688128 766332 774144 778496 786432 802816 875808 884736 894054 903168 917504 1021776 1032192 1048576 1149498 1167744 1179648 1192072 1204224 1313712 1341081 1354752 1362368 1376256 1532664 1548288 1556992 1572864 1605632 1751616 1769472 1788108 1806336 1835008 2043552 2064384 2298996 2335488 2359296 2384144 2408448 2627424 2682162 2709504 2724736 2752512 3065328 3096576 3113984 3145728 3211264 3503232 3538944 3576216 3612672 3670016 4023243 4087104 4128768 4597992 4670976 4718592 4768288 4816896 5254848 5364324 5419008 5449472 5505024 6130656 6193152 6227968 6422528 7006464 7077888 7152432 7225344 7340032 8046486 8174208 8257536 9195984 9247681 9341952 9437184 9536576 9633792 10509696 10728648 10838016 10898944 11010048 12261312 12386304 12455936 12845056 14012928 14155776 14304864 14450688 16092972 16348416 16515072 18391968 18495362 18683904 19073152 19267584 21019392 21457296 21676032 21797888 22020096 24522624 24772608 24911872 25690112 27743043 28025856 28311552 28609728 28901376 32185944 32696832 33030144 36783936 36990724 37367808 38146304 38535168 42038784 42914592 43352064 43595776 49045248 49545216 49823744 51380224 55486086 56051712 57219456 57802752 64371888 64733767 65393664 66060288 73567872 73981448 74735616 76292608 77070336 83229129 84077568 85829184 86704128 87191552 98090496 99090432 99647488 110972172 112103424 114438912 115605504 128743776 129467534 130787328 147135744 147962896 149471232 152585216 154140672 166458258 168155136 171658368 173408256 174383104 194201301 196180992 198180864 199294976 221944344 224206848 228877824 231211008 249687387 257487552 258935068 261574656 294271488 295925792 298942464 305170432 332916516 336310272 343316736 346816512 348766208 388402602 392361984 398589952 443888688 448413696 453136369 457755648 462422016 499374774 514975104 517870136 523149312 582603903 588542976 591851584 597884928 610340864 665833032 672620544 686633472 693633024 697532416 776805204 784723968 797179904 887777376 896827392 906272738 915511296 998749548 1029950208 1035740272 1046298624 1165207806 1177085952 1183703168 1195769856 1220681728 1331666064 1345241088 1359409107 1373266944 1387266048 1395064832 1553610408 1569447936 1594359808 1747811709 1775554752 1793654784 1812545476 1831022592 1997499096 2059900416 2071480544 2092597248 2330415612 2354171904 2367406336 2391539712 2441363456 2663332128 2690482176 2718818214 2746533888 2790129664 3107220816 3138895872 3188719616 3495623418 3551109504 3587309568 3625090952 3662045184 3994998192 4078227321 4119800832 4142961088 4185194496 4660831224 4708343808 4734812672 4783079424 4882726912 5326664256 5380964352 5437636428 5493067776 5580259328 6214441632 6277791744 6991246836 7102219008 7174619136 7250181904 7324090368 7989996384 8156454642 8239601664 8285922176 8370388992 9321662448 9416687616 9469625344 9566158848 9765453824 10653328512 10761928704 10875272856 10986135552 11160518656 12234681963 12428883264 12555583488 13982493672 14204438016 14349238272 14500363808 14648180736 15979992768 16312909284 16479203328 16571844352 16740777984 18643324896 18833375232 18939250688 19530907648 21306657024 21523857408 21750545712 21972271104 22321037312 24469363926 24857766528 25111166976 27964987344 28408876032 28698476544 29000727616 29296361472 31959985536 32625818568 32958406656 33143688704 33481555968 37286649792 37666750464 37878501376 39061815296 42613314048 43047714816 43501091424 43944542208 48938727852 49715533056 50222333952 55929974688 56817752064 58001455232 58592722944 63919971072 65251637136 65916813312 66287377408 66963111936 74573299584 75333500928 75757002752 78123630592 85226628096 86095429632 87002182848 87889084416 97877455704 99431066112 100444667904 111859949376 113635504128 116002910464 117185445888 127839942144 130503274272 131833626624 132574754816 149146599168 150667001856 151514005504 156247261184 170453256192 174004365696 175778168832 195754911408 198862132224 200889335808 223719898752 227271008256 232005820928 234370891776 255679884288 261006548544 263667253248 265149509632 298293198336 301334003712 303028011008 340906512384 348008731392 351556337664 391509822816 397724264448 447439797504 454542016512 464011641856 468741783552 511359768576 522013097088 527334506496 530299019264 596586396672 602668007424 606056022016 681813024768 696017462784 703112675328 783019645632 795448528896 894879595008 909084033024 928023283712 1022719537152 1044026194176 1054669012992 1060598038528 1193172793344 1212112044032 1363626049536 1392034925568 1406225350656 1566039291264 1590897057792 1789759190016 1818168066048 1856046567424 2045439074304 2088052388352 2109338025984 2121196077056 2386345586688 2424224088064 2727252099072 2784069851136 3132078582528 3181794115584 3579518380032 3636336132096 3712093134848 4090878148608 4176104776704 4218676051968 4242392154112 4772691173376 4848448176128 5454504198144 5568139702272 6264157165056 6363588231168 7159036760064 7272672264192 7424186269696 8181756297216 8352209553408 8484784308224 9545382346752 9696896352256 10909008396288 11136279404544 12528314330112 12727176462336 14318073520128 14545344528384 14848372539392 16363512594432 16704419106816 16969568616448 19090764693504 21818016792576 22272558809088 25056628660224 25454352924672 28636147040256 29090689056768 29696745078784 32727025188864 33408838213632 33939137232896 38181529387008 43636033585152 44545117618176 50113257320448 50908705849344 57272294080512 59393490157568 65454050377728 66817676427264 67878274465792 76363058774016 87272067170304 89090235236352 100226514640896 101817411698688 114544588161024 118786980315136 130908100755456 133635352854528 152726117548032 178180470472704 200453029281792 203634823397376 229089176322048 237573960630272 261816201510912 267270705709056 305452235096064 356360940945408 400906058563584 458178352644096 475147921260544 534541411418112 610904470192128 712721881890816 801812117127168 916356705288192 1069082822836224 1425443763781632 1603624234254336 1832713410576384 2138165645672448 3207248468508672 4276331291344896 6414496937017344 12828993874034688
• Sum of all divisors σ(n): 44232371617594440
• Sum of proper divisors (its aliquot sum) s(n): 31403377743559752
• 12828993874034688 is an abundant number, because the sum of its proper divisors (31403377743559752) is greater than itself. Its abundance is 18574383869525064

Bases of 12828993874034688

• Binary: 101101100100111110011011100110101100000000000000000000₂
• Hexadecimal: 0x2D93E6E6B00000
• Base-36: 3IBHYF9SLC0

Squares and roots of 12828993874034688

• 12828993874034688 squared (12828993874034688²) is 164583083820019552155003827257344
• 12828993874034688 cubed (12828993874034688³) is 2111435374096768411168316436556173170270558748672
• The square root of 12828993874034688 is 113265148.5410878185
• The cube root of 12828993874034688 is 234097.9079537525

Scales and comparisons

• 12,828,993,874,034,688 seconds is equal to 407,922,322 years, 26 weeks, 3 days, 22 hours, 4 minutes, 48 seconds.
• To count from 1 to 12,828,993,874,034,688 would take you about one billion, two hundred twenty-three million, seven hundred sixty-six thousand, nine hundred sixty-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 12828993874034688 cubic inches would be around 19508.2 feet tall.

Recreational maths with 12828993874034688

• 12828993874034688 backwards is 88643047839982821
• The number of decimal digits it has is: 17
• The sum of 12828993874034688's digits is 90
• More coming soon!