13688028925329408

Names of 13688028925329408

• Cardinal: 13688028925329408 can be written as Thirteen quadrillion, six hundred eighty-eight trillion, twenty-eight billion, nine hundred twenty-five million, three hundred twenty-nine thousand, four hundred eight.

Scientific notation

• Scientific notation: 1.3688028925329408 × 10¹⁶

Factors of 13688028925329408

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 24
• Sum of prime factors: 150

Divisors of 13688028925329408

• Number of divisors d(n): 1088
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 64 78 87 96 103 104 116 128 156 169 174 192 206 208 232 256 309 312 338 348 377 384 412 416 464 507 512 618 624 676 696 754 768 824 832 928 1014 1024 1131 1236 1248 1339 1352 1392 1508 1536 1648 1664 1856 2028 2048 2197 2262 2472 2496 2678 2704 2784 2987 3016 3072 3296 3328 3712 4017 4056 4096 4394 4524 4901 4944 4992 5356 5408 5568 5974 6032 6144 6591 6592 6656 7424 8034 8112 8192 8788 8961 9048 9802 9888 9984 10609 10712 10816 11136 11948 12064 12288 13182 13184 13312 14703 14848 16068 16224 16384 17407 17576 17922 18096 19604 19776 19968 21218 21424 21632 22272 23896 24128 24576 26364 26368 26624 29406 29696 31827 32136 32448 32768 34814 35152 35844 36192 38831 39208 39552 39936 42436 42848 43264 44544 47792 48256 49152 52221 52728 52736 53248 58812 59392 63654 63713 64272 64896 65536 69628 70304 71688 72384 77662 78416 79104 79872 84872 85696 86528 89088 95584 96512 98304 104442 105456 105472 106496 116493 117624 118784 127308 127426 128544 129792 137917 139256 140608 143376 144768 155324 156832 158208 159744 169744 171392 173056 178176 191139 191168 193024 196608 208884 210912 210944 212992 226291 232986 235248 237568 254616 254852 257088 259584 275834 278512 281216 286752 289536 307661 310648 313664 316416 319488 339488 342784 346112 356352 382278 382336 386048 413751 417768 421824 421888 425984 452582 465972 470496 475136 504803 509232 509704 514176 519168 551668 557024 562432 573504 579072 615322 621296 627328 632832 638976 678873 678976 685568 692224 712704 764556 764672 772096 827502 835536 843648 843776 851968 905164 922983 931944 940992 950272 1009606 1018464 1019408 1028352 1038336 1092727 1103336 1114048 1124864 1147008 1158144 1230644 1242592 1254656 1265664 1277952 1357746 1357952 1371136 1384448 1425408 1514409 1529112 1529344 1544192 1655004 1671072 1687296 1687552 1792921 1810328 1845966 1863888 1881984 1900544 2019212 2036928 2038816 2056704 2076672 2185454 2206672 2228096 2249728 2294016 2316288 2461288 2485184 2509312 2531328 2555904 2715492 2715904 2742272 2768896 2850816 3028818 3058224 3058688 3088384 3278181 3310008 3342144 3374592 3375104 3585842 3620656 3691932 3727776 3763968 3999593 4038424 4073856 4077632 4113408 4153344 4370908 4413344 4456192 4499456 4588032 4632576 4922576 4970368 5018624 5062656 5378763 5430984 5431808 5484544 5537792 5701632 6057636 6116448 6117376 6176768 6556362 6562439 6620016 6684288 6749184 6750208 7171684 7241312 7383864 7455552 7527936 7999186 8076848 8147712 8155264 8226816 8306688 8741816 8826688 8912384 8998912 9176064 9265152 9845152 9940736 10037248 10125312 10757526 10861968 10863616 10969088 11075584 11998779 12115272 12232896 12234752 12353536 13112724 13124878 13240032 13368576 13498368 14205451 14343368 14482624 14767728 14911104 15055872 15998372 16153696 16295424 16310528 16453632 16613376 17483632 17653376 17824768 17997824 18352128 18530304 19687317 19690304 19881472 20074496 20250624 21515052 21723936 21727232 21938176 23307973 23997558 24230544 24465792 24469504 24707072 26225448 26249756 26480064 26737152 26996736 28410902 28686736 28965248 29535456 29822208 30111744 31689083 31996744 32307392 32590848 32621056 32907264 33226752 34967264 35306752 35649536 35995648 36704256 37060608 39374634 39380608 39762944 40148992 42616353 43030104 43447872 43454464 43876352 46615946 47995116 48461088 48931584 48939008 51994709 52450896 52499512 52960128 53474304 53993472 56821804 57373472 57930496 59070912 59644416 60223488 63378166 63993488 64614784 65181696 65242112 65814528 69923919 69934528 70613504 71299072 71991296 73408512 74121216 78749268 78761216 79525888 80297984 85232706 86060208 86895744 86908928 87752704 93231892 95067249 95990232 96922176 97863168 97878016 103989418 104901792 104999024 105920256 106948608 107986944 113643608 114746944 115860992 118141824 119288832 120446976 126756332 127986976 129229568 130363392 130484224 131629056 139847838 139869056 141227008 142598144 143982592 146817024 155984127 157498536 157522432 159051776 160595968 170465412 172120416 173791488 173817856 184670863 186463784 190134498 191980464 193844352 195726336 195756032 207978836 209803584 209998048 211840512 213897216 215973888 227287216 229493888 231721984 236283648 238577664 240893952 253512664 255973952 258459136 260726784 260968448 263258112 279695676 279738112 282454016 285196288 293634048 311968254 314997072 315044864 318103552 321191936 340930824 344240832 347582976 347635712 369341726 372927568 380268996 383960928 387688704 391452672 411958079 415957672 419607168 419996096 423681024 427794432 431947776 454574432 458987776 463443968 472567296 477155328 481787904 507025328 511947904 516918272 521453568 521936896 554012589 559391352 559476224 564908032 570392576 587268096 623936508 629994144 630089728 636207104 675931217 681861648 688481664 695165952 695271424 738683452 745855136 760537992 767921856 775377408 782905344 823916158 831915344 839214336 839992192 847362048 855588864 909148864 917975552 926887936 945134592 954310656 963575808 1014050656 1023895808 1033836544 1042907136 1043873792 1108025178 1118782704 1118952448 1129816064 1140785152 1235874237 1247873016 1259988288 1260179456 1272414208 1351862434 1363723296 1376963328 1390331904 1477366904 1491710272 1521075984 1535843712 1550754816 1565810688 1647832316 1663830688 1678428672 1679984384 1694724096 1711177728 1818297728 1835951104 1853775872 1890269184 1908621312 2027793651 2028101312 2047791616 2067673088 2085814272 2087747584 2216050356 2237565408 2237904896 2259632128 2400721219 2471748474 2495746032 2519976576 2520358912 2544828416 2703724868 2727446592 2753926656 2780663808 2954733808 2983420544 3042151968 3071687424 3101509632 3131621376 3295664632 3327661376 3356857344 3359968768 3389448192 3422355456 3636595456 3671902208 3707551744 3780538368 3817242624 4055587302 4056202624 4095583232 4135346176 4175495168 4432100712 4475130816 4475809792 4519264256 4801442438 4943496948 4991492064 5039953152 5040717824 5355455027 5407449736 5454893184 5507853312 5561327616 5909467616 5966841088 6084303936 6143374848 6203019264 6263242752 6591329264 6655322752 6713714688 6719937536 6778896384 7202163657 7273190912 7343804416 7415103488 7561076736 7634485248 8111174604 8112405248 8191166464 8270692352 8864201424 8950261632 8951619584 9038528512 9602884876 9886993896 9982984128 10079906304 10081435648 10710910054 10814899472 10909786368 11015706624 11122655232 11818935232 11933682176 12168607872 12286749696 12406038528 12526485504 13182658528 13310645504 13427429376 13439875072 13557792768 14404327314 14546381824 14687608832 14830206976 15122153472 16066365081 16222349208 16224810496 16382332928 16541384704 17728402848 17900523264 17903239168 19205769752 19773987792 19965968256 20159812608 20162871296 21421820108 21629798944 21819572736 22031413248 22245310464 23637870464 23867364352 24337215744 24573499392 24812077056 26365317056 26621291008 26854858752 26879750144 27115585536 28808654628 29092763648 29375217664 30244306944 32132730162 32444698416 32449620992 32764665856 33082769408 35456805696 35801046528 35806478336 38411539504 39547975584 39931936512 40319625216 42843640216 43259597888 43639145472 44062826496 44490620928 47275740928 47734728704 48674431488 49146998784 49624154112 52730634112 53242582016 53709717504 53759500288 57617309256 58185527296 58750435328 60488613888 64265460324 64889396832 64899241984 65529331712 69620915351 70913611392 71602093056 71612956672 76823079008 79095951168 79863873024 80639250432 85687280432 86519195776 87278290944 88125652992 94551481856 95469457408 97348862976 98293997568 99248308224 105461268224 106485164032 107419435008 107519000576 115234618512 116371054592 117500870656 128530920648 129778793664 129798483968 131058663424 139241830702 141827222784 143204186112 153646158016 158191902336 159727746048 161278500864 171374560864 173038391552 174556581888 176251305984 189102963712 190938914816 194697725952 196587995136 208862746053 210922536448 212970328064 214838870016 215038001152 230469237024 232742109184 257061841296 259557587328 259596967936 262117326848 278483661404 283654445568 286408372224 307292316032 316383804672 319455492096 322557001728 342749121728 346076783104 349113163776 352502611968 378205927424 381877829632 389395451904 393175990272 417725492106 421845072896 425940656128 430076002304 460938474048 465484218368 514123682592 519115174656 519193935872 556967322808 567308891136 572816744448 614584632064 632767609344 638910984192 645114003456 685498243456 692153566208 698226327552 756411854848 763755659264 778790903808 786351980544 835450984212 843690145792 851881312256 921876948096 930968436736 1028247365184 1038230349312 1038387871744 1113934645616 1134617782272 1145633488896 1229169264128 1265535218688 1277821968384 1290228006912 1370996486912 1384307132416 1396452655104 1512823709696 1527511318528 1557581807616 1670901968424 1687380291584 1703762624512 1843753896192 2056494730368 2076460698624 2076775743488 2227869291232 2269235564544 2291266977792 2458338528256 2531070437376 2555643936768 2741992973824 2768614264832 2792905310208 3025647419392 3115163615232 3341803936848 3374760583168 3407525249024 3687507792384 4112989460736 4152921397248 4455738582464 4538471129088 4582533955584 4916677056512 5062140874752 5111287873536 5483985947648 5537228529664 6051294838784 6230327230464 6683607873696 6749521166336 7375015584768 8225978921472 8305842794496 8911477164928 9076942258176 9833354113024 10124281749504 10222575747072 10967971895296 11074457059328 12102589677568 13367215747392 13499042332672 14750031169536 16451957842944 16611685588992 17822954329856 18153884516352 19666708226048 20248563499008 21935943790592 22148914118656 26734431494784 26998084665344 29500062339072 32903915685888 33223371177984 35645908659712 36307769032704 39333416452096 40497126998016 43871887581184 44297828237312 53468862989568 59000124678144 65807831371776 66446742355968 71291817319424 78666832904192 80994253996032 87743775162368 106937725979136 118000249356288 131615662743552 132893484711936 142583634638848 157333665808384 175487550324736 213875451958272 236000498712576 263231325487104 285167269277696 350975100649472 427750903916544 472000997425152 526462650974208 570334538555392 855501807833088 1052925301948416 1140669077110784 1711003615666176 2281338154221568 3422007231332352 4562676308443136 6844014462664704 13688028925329408
• Sum of all divisors σ(n): 41306037898944000
• Sum of proper divisors (its aliquot sum) s(n): 27618008973614592
• 13688028925329408 is an abundant number, because the sum of its proper divisors (27618008973614592) is greater than itself. Its abundance is 13929980048285184

Bases of 13688028925329408

• Binary: 110000101000010011000010010101110001010000000000000000₂
• Hexadecimal: 0x30A13095C50000
• Base-36: 3QS01OFPGQO

Squares and roots of 13688028925329408

• 13688028925329408 squared (13688028925329408²) is 187362135860654548089361309630464
• 13688028925329408 cubed (13688028925329408³) is 2564618335172137810129567584374692623453951885312
• The square root of 13688028925329408 is 116995850.0346461349
• The cube root of 13688028925329408 is 239210.5363152201

Scales and comparisons

• 13,688,028,925,329,408 seconds is equal to 435,236,979 years, 50 weeks, 3 days, 19 hours, 56 minutes, 48 seconds.
• To count from 1 to 13,688,028,925,329,408 would take you about one billion, three hundred five million, seven hundred ten thousand, nine hundred thirty-nine 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 13688028925329408 cubic inches would be around 19934.2 feet tall.

Recreational maths with 13688028925329408

• 13688028925329408 backwards is 80492352982088631
• 13688028925329408 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13688028925329408's digits is 78
• More coming soon!