13782438641664

Names of 13782438641664

• Cardinal: 13782438641664 can be written as Thirteen trillion, seven hundred eighty-two billion, four hundred thirty-eight million, six hundred forty-one thousand, six hundred sixty-four.

Scientific notation

• Scientific notation: 1.3782438641664 × 10¹³

Factors of 13782438641664

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 27
• Sum of prime factors: 42

Divisors of 13782438641664

• Number of divisors d(n): 1520
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 14 16 18 19 21 22 24 27 28 32 33 36 38 42 44 48 54 56 57 63 64 66 72 76 77 84 88 96 99 108 112 114 121 126 128 132 133 144 152 154 168 171 176 189 192 198 209 216 224 228 231 242 252 256 264 266 288 297 304 308 336 342 352 363 378 384 396 399 418 432 448 456 462 484 504 512 513 528 532 576 594 608 616 627 672 684 693 704 726 756 768 792 798 836 847 864 896 912 924 968 1008 1024 1026 1056 1064 1089 1152 1188 1197 1216 1232 1254 1331 1344 1368 1386 1408 1452 1463 1512 1536 1584 1596 1672 1694 1728 1792 1824 1848 1881 1936 2016 2048 2052 2079 2112 2128 2178 2299 2304 2376 2394 2432 2464 2508 2541 2662 2688 2736 2772 2816 2904 2926 3024 3072 3168 3192 3267 3344 3388 3456 3584 3591 3648 3696 3762 3872 3993 4032 4096 4104 4158 4224 4256 4356 4389 4598 4608 4752 4788 4864 4928 5016 5082 5324 5376 5472 5544 5632 5643 5808 5852 6048 6144 6336 6384 6534 6688 6776 6897 6912 7168 7182 7296 7392 7524 7623 7744 7986 8064 8192 8208 8316 8448 8512 8712 8778 9196 9216 9317 9504 9576 9728 9856 10032 10164 10648 10752 10944 11088 11264 11286 11616 11704 11979 12096 12288 12672 12768 13068 13167 13376 13552 13794 13824 14336 14364 14592 14641 14784 15048 15246 15488 15972 16093 16128 16384 16416 16632 16896 17024 17424 17556 18392 18432 18634 19008 19152 19456 19712 20064 20328 20691 21296 21504 21888 22176 22528 22572 22869 23232 23408 23958 24192 24576 25289 25344 25536 26136 26334 26752 27104 27588 27648 27951 28672 28728 29184 29282 29568 30096 30492 30976 31944 32186 32256 32768 32832 33264 33792 34048 34848 35112 35937 36784 36864 37268 38016 38304 38912 39424 39501 40128 40656 41382 42592 43008 43776 43923 44352 45056 45144 45738 46464 46816 47916 48279 48384 49152 50578 50688 51072 52272 52668 53504 54208 55176 55296 55902 57344 57456 58368 58564 59136 60192 60984 61952 62073 63888 64372 64512 65536 65664 66528 67584 68096 69696 70224 71874 73568 73728 74536 75867 76032 76608 77824 78848 79002 80256 81312 82764 83853 85184 86016 87552 87846 88704 90112 90288 91476 92928 93632 95832 96558 96768 98304 101156 101376 102144 102487 104544 105336 107008 108416 110352 110592 111804 114688 114912 116736 117128 118272 120384 121968 123904 124146 127776 128744 129024 131072 131328 131769 133056 135168 136192 139392 140448 143748 144837 147136 147456 149072 151734 152064 153216 155648 157696 158004 160512 162624 165528 167706 170368 172032 175104 175692 177023 177408 180224 180576 182952 185856 187264 191664 193116 193536 196608 202312 202752 204288 204974 209088 210672 214016 216832 220704 221184 223608 227601 229376 229824 233472 234256 236544 240768 243936 247808 248292 251559 255552 257488 258048 262144 262656 263538 266112 270336 272384 278179 278784 280896 287496 289674 294272 294912 298144 303468 304128 306432 307461 311296 315392 316008 321024 325248 331056 335412 340736 344064 350208 351384 354046 354816 360448 361152 365904 371712 374528 383328 386232 387072 393216 395307 404624 405504 408576 409948 418176 421344 428032 433664 434511 441408 442368 447216 455202 458752 459648 466944 468512 473088 481536 487872 495616 496584 503118 511104 514976 516096 525312 527076 531069 532224 540672 544768 556358 557568 561792 574992 579348 588544 589824 596288 606936 608256 612864 614922 622592 630784 632016 642048 650496 662112 670824 681472 682803 688128 700416 702768 708092 709632 720896 722304 731808 743424 749056 766656 772464 774144 786432 790614 809248 811008 817152 819896 834537 836352 842688 856064 867328 869022 882816 884736 894432 910404 917504 919296 922383 933888 937024 946176 963072 975744 991232 993168 1006236 1022208 1029952 1032192 1050624 1054152 1062138 1064448 1081344 1089536 1112716 1115136 1123584 1149984 1158696 1177088 1179648 1192576 1213872 1216512 1225728 1229844 1245184 1261568 1264032 1284096 1300992 1324224 1341648 1362944 1365606 1376256 1400832 1405536 1416184 1419264 1441792 1444608 1463616 1486848 1498112 1533312 1544928 1548288 1581228 1593207 1618496 1622016 1634304 1639792 1669074 1672704 1685376 1712128 1734656 1738044 1765632 1769472 1788864 1820808 1835008 1838592 1844766 1867776 1874048 1892352 1926144 1947253 1951488 1982464 1986336 2012472 2044416 2059904 2064384 2101248 2108304 2124276 2128896 2162688 2179072 2225432 2230272 2247168 2299968 2317392 2354176 2359296 2385152 2427744 2433024 2451456 2459688 2490368 2503611 2523136 2528064 2568192 2601984 2648448 2683296 2725888 2731212 2752512 2767149 2801664 2811072 2832368 2838528 2883584 2889216 2927232 2973696 2996224 3066624 3089856 3096576 3162456 3186414 3236992 3244032 3268608 3279584 3338148 3345408 3370752 3424256 3469312 3476088 3531264 3538944 3577728 3641616 3677184 3689532 3735552 3748096 3784704 3852288 3894506 3902976 3964928 3972672 4024944 4088832 4119808 4128768 4202496 4216608 4248552 4257792 4325376 4358144 4450864 4460544 4494336 4599936 4634784 4708352 4770304 4779621 4855488 4866048 4902912 4919376 4980736 5007222 5046272 5056128 5136384 5203968 5296896 5366592 5451776 5462424 5505024 5534298 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54788096 55508992 55617408 56500224 57243648 58265856 58834944 59032512 59969536 60086664 60555264 61636608 62312096 62447616 63562752 64399104 65421312 65916928 67239936 67465728 67976832 68124672 70101108 71213824 71368704 71909376 73598976 74156544 75333632 76324864 76473936 77687808 77856768 78446592 78710016 80115552 80898048 82182144 83263488 84750336 85865472 87228416 87398784 88548768 89954304 90635776 90832896 92454912 93468144 93671424 95158272 95879168 98131968 98875392 101198592 101965248 103583744 104595456 104946688 105151662 106820736 107053056 107864064 111017984 111234816 113000448 114487296 116531712 117669888 118065024 119939072 120173328 123273216 124624192 124895232 127125504 128798208 130842624 131833856 134479872 134931456 135953664 136249344 140202216 142427648 142737408 143818752 147197952 148313088 150667264 152649728 152947872 155375616 156893184 157420032 160231104 161796096 164364288 166526976 169500672 171730944 174456832 174797568 177097536 179908608 181271552 181665792 184909824 186936288 187342848 191758336 196263936 197750784 202397184 203930496 207167488 209893376 210303324 213641472 214106112 215728128 222035968 222469632 226000896 228974592 233063424 235339776 236130048 239878144 240346656 246546432 249248384 249790464 254251008 257596416 261685248 263667712 269862912 271907328 272498688 280404432 284855296 285474816 287637504 294395904 296626176 301334528 305299456 305895744 310751232 313786368 314840064 320462208 323592192 333053952 339001344 343461888 348913664 349595136 354195072 359817216 362543104 369819648 373872576 374685696 383516672 392527872 395501568 404794368 407860992 414334976 419786752 420606648 427282944 428212224 431456256 444939264 452001792 457949184 466126848 470679552 472260096 479756288 480693312 493092864 498496768 499580928 508502016 515192832 523370496 527335424 539725824 543814656 544997376 560808864 569710592 575275008 588791808 593252352 602669056 610598912 611791488 621502464 629680128 640924416 647184384 666107904 678002688 686923776 699190272 708390144 719634432 725086208 739639296 747745152 749371392 785055744 791003136 809588736 815721984 828669952 839573504 841213296 854565888 856424448 862912512 889878528 904003584 915898368 932253696 941359104 944520192 959512576 961386624 996993536 999161856 1017004032 1030385664 1046740992 1054670848 1079451648 1087629312 1121617728 1139421184 1150550016 1177583616 1186504704 1221197824 1223582976 1243004928 1259360256 1281848832 1294368768 1356005376 1373847552 1398380544 1416780288 1439268864 1450172416 1479278592 1495490304 1498742784 1570111488 1582006272 1619177472 1631443968 1657339904 1679147008 1682426592 1709131776 1725825024 1779757056 1808007168 1831796736 1864507392 1889040384 1919025152 1922773248 1993987072 1998323712 2034008064 2060771328 2109341696 2158903296 2175258624 2243235456 2278842368 2355167232 2373009408 2442395648 2447165952 2486009856 2518720512 2563697664 2588737536 2712010752 2747695104 2796761088 2833560576 2878537728 2900344832 2990980608 2997485568 3140222976 3164012544 3238354944 3262887936 3314679808 3358294016 3364853184 3418263552 3451650048 3559514112 3663593472 3729014784 3778080768 3838050304 3845546496 3987974144 4068016128 4121542656 4218683392 4317806592 4350517248 4486470912 4557684736 4710334464 4746018816 4894331904 4972019712 5037441024 5127395328 5177475072 5424021504 5495390208 5593522176 5667121152 5757075456 5800689664 5981961216 5994971136 6328025088 6476709888 6525775872 6629359616 6716588032 6729706368 6836527104 7119028224 7327186944 7458029568 7556161536 7691092992 7975948288 8136032256 8243085312 8635613184 8701034496 8972941824 9115369472 9420668928 9492037632 9788663808 9944039424 10074882048 10254790656 10354950144 10990780416 11187044352 11334242304 11514150912 11601379328 11963922432 12656050176 12953419776 13051551744 13433176064 13459412736 13673054208 14238056448 14916059136 15112323072 15382185984 15951896576 16272064512 16486170624 17271226368 17402068992 17945883648 18230738944 18984075264 19577327616 19888078848 20149764096 20509581312 21981560832 22374088704 22668484608 23202758656 23927844864 25906839552 26103103488 26866352128 26918825472 27346108416 28476112896 29832118272 30224646144 30764371968 31903793152 32972341248 34542452736 34804137984 35891767296 36461477888 37968150528 39154655232 40299528192 41019162624 44748177408 45336969216 46405517312 47855689728 51813679104 52206206976 53837650944 54692216832 56952225792 59664236544 60449292288 61528743936 63807586304 65944682496 69608275968 71783534592 72922955776 78309310464 80599056384 82038325248 89496354816 90673938432 95711379456 103627358208 104412413952 107675301888 109384433664 113904451584 120898584576 123057487872 127615172608 139216551936 143567069184 156618620928 164076650496 178992709632 181347876864 191422758912 208824827904 215350603776 218768867328 241797169152 246114975744 255230345216 287134138368 313237241856 328153300992 362695753728 382845517824 417649655808 430701207552 492229951488 510460690432 574268276736 626474483712 656306601984 725391507456 765691035648 861402415104 984459902976 1148536553472 1252948967424 1531382071296 1722804830208 1968919805952 2297073106944 3445609660416 4594146213888 6891219320832 13782438641664
• Sum of all divisors σ(n): 54039309664000
• Sum of proper divisors (its aliquot sum) s(n): 40256871022336
• 13782438641664 is an abundant number, because the sum of its proper divisors (40256871022336) is greater than itself. Its abundance is 26474432380672

Bases of 13782438641664

• Binary: 11001000100011111001010111000000000000000000₂
• Hexadecimal: 0xC88F95C0000
• Base-36: 4VVKC45C0

Squares and roots of 13782438641664

• 13782438641664 squared (13782438641664²) is 189955614911233005396688896
• 13782438641664 cubed (13782438641664³) is 2618051607153624086834945289269431762944
• The square root of 13782438641664 is 3712470.6923643183
• The cube root of 13782438641664 is 23975.9241441245

Scales and comparisons

• 13,782,438,641,664 seconds is equal to 438,238 years, 47 weeks, 4 days, 18 hours, 14 minutes, 24 seconds.
• To count from 1 to 13,782,438,641,664 would take you about one million, ninety-five thousand, five hundred ninety-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 13782438641664 cubic inches would be around 1998 feet tall.

Recreational maths with 13782438641664

• 13782438641664 backwards is 46614683428731
• 13782438641664 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13782438641664's digits is 63
• More coming soon!