13712782848934464

Names of 13712782848934464

• Cardinal: 13712782848934464 can be written as Thirteen quadrillion, seven hundred twelve trillion, seven hundred eighty-two billion, eight hundred forty-eight million, nine hundred thirty-four thousand, four hundred sixty-four.

Scientific notation

• Scientific notation: 1.3712782848934464 × 10¹⁶

Factors of 13712782848934464

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 251

Divisors of 13712782848934464

• Number of divisors d(n): 735
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 81 96 106 108 144 159 162 192 193 212 216 243 288 318 324 386 424 432 477 486 576 579 636 648 729 772 848 864 954 972 1158 1272 1296 1431 1458 1544 1696 1728 1737 1908 1944 2316 2544 2592 2809 2862 2916 3088 3392 3474 3816 3888 4293 4632 5088 5184 5211 5618 5724 5832 6176 6948 7632 7776 8427 8586 9264 10176 10229 10422 11236 11448 11664 12352 12879 13896 15264 15552 15633 16854 17172 18528 20458 20844 22472 22896 23328 25281 25758 27792 30528 30687 31266 33708 34344 37056 37249 38637 40916 41688 44944 45792 46656 46899 50562 51516 55584 61374 62532 67416 68688 74498 75843 77274 81832 83376 89888 91584 92061 93798 101124 103032 111168 111747 122748 125064 134832 137376 140697 148877 148996 151686 154548 163664 166752 179776 184122 187596 202248 206064 223494 227529 245496 250128 269664 274752 276183 281394 297754 297992 303372 309096 327328 333504 335241 368244 375192 404496 412128 446631 446988 455058 490992 500256 539328 542137 552366 562788 595508 595984 606744 618192 654656 670482 682587 736488 750384 808992 824256 828549 893262 893976 910116 981984 1000512 1005723 1084274 1104732 1125576 1191016 1191968 1213488 1236384 1339893 1340964 1365174 1472976 1500768 1617984 1626411 1657098 1786524 1787952 1820232 1963968 1974197 2011446 2047761 2168548 2209464 2251152 2382032 2383936 2426976 2472768 2485647 2679786 2681928 2730348 2945952 3001536 3017169 3252822 3314196 3573048 3575904 3640464 3948394 4019679 4022892 4095522 4337096 4418928 4502304 4764064 4853952 4879233 4971294 5359572 5363856 5460696 5891904 5922591 6034338 6505644 6628392 7146096 7151808 7280928 7456941 7890481 7896788 8039358 8045784 8191044 8674192 8837856 9004608 9051507 9528128 9758466 9942588 10719144 10727712 10921392 11845182 12059037 12068676 13011288 13256784 14292192 14561856 14637699 14913882 15780962 15793576 16078716 16091568 16382088 17348384 17675712 17767773 18103014 19516932 19885176 21438288 21455424 21842784 23671443 23690364 24118074 24137352 26022576 26513568 27154521 28584384 28733261 29275398 29827764 31561924 31587152 32157432 32183136 32764176 34696768 35535546 36177111 36206028 39033864 39770352 42876576 43685568 43913097 47342886 47380728 48236148 48274704 52045152 53027136 53303319 54309042 57466522 58550796 59655528 63123848 63174304 64314864 64366272 65528352 71014329 71071092 72354222 72412056 78067728 79540704 85753152 86199783 87826194 94685772 94761456 96472296 96549408 104090304 104632441 106606638 108531333 108618084 114933044 117101592 119311056 126247696 126348608 128629728 131056704 131739291 142028658 142142184 144708444 144824112 156135456 159081408 159909957 172399566 175652388 189371544 189522912 192944592 193098816 209264882 213042987 213213276 217062666 217236168 229866088 234203184 238622112 252495392 257259456 258599349 263478582 284057316 284284368 289416888 289648224 312270912 313897323 319819914 344799132 351304776 378743088 379045824 385889184 395217873 418529764 426085974 426426552 434125332 434472336 459732176 468406368 477244224 479729871 504990784 517198698 526957164 568114632 568568736 578833776 579296448 627794646 639128961 639639828 689598264 702609552 757486176 771778368 775798047 790435746 837059528 852171948 852853104 868250664 868944672 919464352 936812736 941691969 959459742 1034397396 1053914328 1136229264 1137137472 1157667552 1255589292 1278257922 1279279656 1379196528 1405219104 1439189613 1514972352 1522862833 1551596094 1580871492 1674119056 1704343896 1705706208 1736501328 1737889344 1838928704 1883383938 1917386883 1918919484 2068794792 2107828656 2272458528 2315335104 2327394141 2511178584 2556515844 2558559312 2758393056 2810438208 2825075907 2878379226 3045725666 3103192188 3161742984 3348238112 3408687792 3411412416 3473002656 3766767876 3834773766 3837838968 4137589584 4215657312 4544917056 4568588499 4654788282 5022357168 5113031688 5117118624 5516786112 5545519373 5650151814 5752160649 5756758452 6091451332 6206384376 6323485968 6696476224 6817375584 6946005312 6982182423 7533535752 7669547532 7675677936 8275179168 8431314624 8475227721 9137176998 9309576564 10044714336 10226063376 10234237248 11091038746 11300303628 11504321298 11513516904 12182902664 12412768752 12646971936 13634751168 13705765497 13964364846 15067071504 15339095064 15351355872 16550358336 16636558119 16950455442 18274353996 18619153128 20089428672 20452126752 20946547269 22182077492 22600607256 23008642596 23027033808 24365805328 24825537504 25293943872 25425683163 27411530994 27928729692 30134143008 30678190128 30702711744 33273116238 33900910884 36548707992 37238306256 40904253504 41117296491 41893094538 44364154984 45201214512 46017285192 46054067616 48731610656 49651075008 49909674357 50851366326 54823061988 55857459384 60268286016 61356380256 66546232476 67801821768 73097415984 74476612512 76277049489 82234592982 83786189076 88728309968 90402429024 92034570384 92108135232 97463221312 99819348714 101702732652 109646123976 111714918768 122712760512 123351889473 133092464952 135603643536 146194831968 148953225024 149729023071 152554098978 164469185964 167572378152 177456619936 180804858048 184069140768 199638697428 203405465304 219292247952 223429837536 246703778946 266184929904 271207287072 292389663936 293912526769 299458046142 305108197956 328938371928 335144756304 354913239872 368138281536 370055668419 399277394856 406810930608 438584495904 446859675072 449187069213 493407557892 532369859808 542414574144 587825053538 598916092284 610216395912 657876743856 670289512608 740111336838 798554789712 813621861216 877168991808 881737580307 898374138426 986815115784 1064739719616 1110167005257 1175650107076 1197832184568 1220432791824 1315753487712 1340579025216 1347561207639 1480222673676 1597109579424 1627243722432 1763475160614 1796748276852 1973630231568 2220334010514 2351300214152 2395664369136 2440865583648 2631506975424 2645212740921 2695122415278 2960445347352 3194219158848 3526950321228 3593496553704 3947260463136 4042683622917 4440668021028 4702600428304 4791328738272 4881731167296 5290425481842 5390244830556 5920890694704 7053900642456 7186993107408 7894520926272 7935638222763 8085367245834 8881336042056 9405200856608 9582657476544 10580850963684 10780489661112 11841781389408 14107801284912 14373986214816 15871276445526 16170734491668 17762672084112 18810401713216 21161701927368 21560979322224 23683562778816 23806914668289 28215602569824 28747972429632 31742552891052 32341468983336 35525344168224 42323403854736 43121958644448 47613829336578 56431205139648 63485105782104 64682937966672 71050688336448 71420744004867 84646807709472 86243917288896 95227658673156 126970211564208 129365875933344 142841488009734 169293615418944 190455317346312 214262232014601 253940423128416 258731751866688 285682976019468 380910634692624 428524464029202 507880846256832 571365952038936 761821269385248 857048928058404 1142731904077872 1523642538770496 1714097856116808 2285463808155744 3428195712233616 4570927616311488 6856391424467232 13712782848934464
• Sum of all divisors σ(n): 41799445843026333
• Sum of proper divisors (its aliquot sum) s(n): 28086662994091869
• 13712782848934464 is an abundant number, because the sum of its proper divisors (28086662994091869) is greater than itself. Its abundance is 14373880145157405

Bases of 13712782848934464

• Binary: 110000101101111011010000001110100101111100001001000000₂
• Hexadecimal: 0x30B7B40E97C240
• Base-36: 3R0RXH2P000

Squares and roots of 13712782848934464

• 13712782848934464 squared (13712782848934464²) is 188040413462031194927420166967296
• 13712782848934464 cubed (13712782848934464³) is 2578557356628686665967055389015089524643935289344
• 13712782848934464 is a perfect square number. Its square root is 117101592
• The cube root of 13712782848934464 is 239354.6484554747

Scales and comparisons

• 13,712,782,848,934,464 seconds is equal to 436,024,078 years, 9 weeks, 6 hours, 14 minutes, 24 seconds.
• To count from 1 to 13,712,782,848,934,464 would take you about one billion, three hundred eight million, seventy-two thousand, two hundred thirty-four 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 13712782848934464 cubic inches would be around 19946.2 feet tall.

Recreational maths with 13712782848934464

• 13712782848934464 backwards is 46443984828721731
• 13712782848934464 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13712782848934464's digits is 81
• More coming soon!