13193833897728

Names of 13193833897728

• Cardinal: 13193833897728 can be written as Thirteen trillion, one hundred ninety-three billion, eight hundred thirty-three million, eight hundred ninety-seven thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 1.3193833897728 × 10¹³

Factors of 13193833897728

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 84

Divisors of 13193833897728

• Number of divisors d(n): 972
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 31 32 33 36 37 44 48 62 64 66 72 74 88 93 96 99 111 121 124 128 132 144 148 176 186 192 198 222 242 248 256 264 279 288 296 333 341 352 363 372 384 396 407 444 484 496 528 558 576 592 666 682 704 726 744 768 792 814 888 961 968 992 1023 1056 1089 1116 1147 1152 1184 1221 1331 1332 1364 1408 1452 1488 1584 1628 1776 1922 1936 1984 2046 2112 2178 2232 2294 2304 2368 2442 2662 2664 2728 2816 2883 2904 2976 3069 3168 3256 3441 3552 3663 3751 3844 3872 3968 3993 4092 4224 4356 4464 4477 4588 4736 4884 5324 5328 5456 5766 5808 5952 6138 6336 6512 6882 7104 7326 7502 7688 7744 7936 7986 8184 8448 8649 8712 8928 8954 9176 9472 9768 10323 10571 10648 10656 10912 11253 11532 11616 11904 11979 12276 12617 12672 13024 13431 13764 14208 14641 14652 15004 15376 15488 15972 16368 17298 17424 17856 17908 18352 19536 20646 21142 21296 21312 21824 22506 23064 23232 23808 23958 24552 25234 25344 26048 26862 27528 28416 29282 29304 30008 30752 30976 31713 31944 32736 33759 34596 34848 35557 35712 35816 36704 37851 39072 40293 41261 41292 42284 42592 42624 43648 43923 45012 46128 46464 47916 49104 49247 50468 52096 53724 55056 58564 58608 60016 61504 63426 63888 65472 67518 69192 69696 71114 71424 71632 73408 75702 78144 80586 82522 82584 84568 85184 85248 87296 87846 90024 92256 92928 95139 95832 98208 98494 100936 104192 106671 107448 110112 113553 116281 117128 117216 120032 123008 123783 126852 127776 130944 131769 135036 138384 138787 139392 142228 143264 146816 147741 151404 156288 161051 161172 165044 165168 169136 170368 175692 180048 184512 190278 191664 196416 196988 201872 213342 214896 220224 227106 232562 234256 234432 240064 246016 247566 253704 255552 261888 263538 270072 276768 277574 278784 284456 286528 293632 295482 302808 312576 320013 322102 322344 330088 330336 338272 340736 348843 351384 360096 369024 371349 380556 383328 391127 392832 393976 403744 416361 426684 429792 440448 443223 453871 454212 465124 468512 468864 480128 483153 495132 507408 511104 527076 540144 541717 553536 555148 568912 573056 590964 605616 640026 644204 644688 660176 660672 676544 697686 702768 720192 738048 742698 761112 766656 782254 785664 787952 807488 832722 853368 859584 880896 886446 907742 908424 930248 937024 937728 960256 966306 990264 1014816 1022208 1046529 1054152 1080288 1083434 1107072 1110296 1137824 1146112 1173381 1181928 1211232 1249083 1279091 1280052 1288408 1289376 1320352 1321344 1353088 1361613 1395372 1405536 1440384 1449459 1485396 1522224 1526657 1533312 1564508 1575904 1614976 1625151 1665444 1706736 1719168 1772892 1815484 1816848 1860496 1874048 1932612 1980528 2029632 2093058 2108304 2160576 2166868 2214144 2220592 2275648 2346762 2363856 2422464 2498166 2558182 2560104 2576816 2578752 2640704 2642688 2706176 2723226 2790744 2811072 2880768 2898918 2970792 3044448 3053314 3066624 3129016 3151808 3229952 3250302 3330888 3413472 3438336 3520143 3545784 3630968 3633696 3720992 3748096 3837273 3865224 3961056 4059264 4084839 4186116 4216608 4302397 4321152 4333736 4441184 4551296 4579971 4693524 4727712 4844928 4875453 4992581 4996332 5116364 5120208 5153632 5157504 5281408 5446452 5581488 5622144 5797836 5941584 5958887 6088896 6106628 6258032 6303616 6500604 6661776 6826944 7040286 7091568 7261936 7267392 7441984 7674546 7730448 7922112 8118528 8169678 8372232 8433216 8604794 8642304 8667472 8882368 9102592 9159942 9387048 9455424 9689856 9750906 9985162 9992664 10232728 10240416 10307264 10315008 10562816 10892904 11162976 11244288 11511819 11595672 11883168 11917774 12177792 12213256 12516064 12607232 12907191 13001208 13323552 13653888 13739913 14070001 14080572 14183136 14523872 14534784 14883968 14977743 15349092 15460896 15844224 16339356 16744464 16793227 16866432 17209588 17334944 17764736 17876661 18319884 18774096 18910848 19501812 19970324 19985328 20465456 20480832 20614528 21785808 22325952 23023638 23191344 23766336 23835548 24355584 24426512 25032128 25814382 26002416 26647104 27307776 27479826 28140002 28161144 28366272 29047744 29069568 29767936 29955486 30698184 30921792 31688448 32678712 33488928 33586454 33732864 34419176 34669888 35529472 35753322 36639768 37548192 37821696 38721573 39003624 39940648 39970656 40930912 40961664 41229056 42210003 43571616 44651904 44933229 46047276 46382688 47326367 47532672 47671096 48853024 50064256 50379681 51628764 52004832 53294208 53629983 54959652 56280004 56322288 56732544 58095488 59910972 61396368 61843584 65357424 66977856 67172908 68838352 69339776 71506644 73279536 75096384 77443146 78007248 79881296 79941312 81861824 81923328 84420006 87143232 89303808 89866458 92094552 92765376 94652734 95065344 95342192 97706048 100128512 100759362 103257528 104009664 106588416 107259966 109919304 112560008 112644576 113465088 116190976 119821944 122792736 123687168 126630009 130714848 133955712 134345816 137676704 138679552 141979101 143013288 146559072 150192768 151139043 154770011 154886292 156014496 159762592 159882624 163723648 168840012 174286464 179732916 184189104 184725497 185530752 189305468 190684384 195412096 201518724 206515056 208019328 214519932 219838608 225120016 225289152 239643888 245585472 253260018 261429696 267911424 268691632 275353408 283958202 286026576 293118144 300385536 302278086 309540022 309772584 312028992 319525184 319765248 327447296 337680024 348572928 359465832 368378208 369450994 371061504 378610936 381368768 390824192 403037448 413030112 416038656 425937303 429039864 439677216 450240032 450578304 464310033 479287776 491170944 506520036 520590037 522859392 537383264 550706816 554176491 567916404 572053152 586236288 604556172 619080044 619545168 624057984 639050368 675360048 718931664 736756416 738901988 757221872 762737536 806074896 826060224 851874606 858079728 879354432 900480064 901156608 928620066 958575552 982341888 1013040072 1041180074 1045718784 1074766528 1101413632 1108352982 1135832808 1144106304 1172472576 1209112344 1238160088 1239090336 1248115968 1278100736 1350720096 1392930099 1437863328 1473512832 1477803976 1514443744 1525475072 1561770111 1612149792 1652120448 1662529473 1703749212 1716159456 1758708864 1800960128 1857240132 1917151104 2026080144 2082360148 2149533056 2216705964 2271665616 2288212608 2418224688 2476320176 2478180672 2701440192 2785860198 2875726656 2947025664 2955607952 3028887488 3123540222 3224299584 3304240896 3325058946 3407498424 3432318912 3517417728 3601920256 3714480264 3834302208 4052160288 4164720296 4299066112 4433411928 4543331232 4576425216 4685310333 4836449376 4952640352 4956361344 5402880384 5571720396 5726490407 5751453312 5911215904 6057774976 6247080444 6448599168 6650117892 6814996848 6864637824 7428960528 8104320576 8329440592 8866823856 9086662464 9370620666 9672898752 9905280704 9912722688 10805760768 11143440792 11452980814 11502906624 11822431808 12115549952 12494160888 12897198336 13300235784 13629993696 13729275648 14857921056 16208641152 16658881184 17179471221 17733647712 18173324928 18741241332 19345797504 19810561408 22286881584 22905961628 23644863616 24988321776 26600471568 27259987392 29715842112 32417282304 33317762368 34358942442 35467295424 36346649856 37482482664 38691595008 39621122816 44573763168 45811923256 47289727232 49976643552 51538413663 53200943136 54519974784 59431684224 66635524736 68717884884 70934590848 74964965328 89147526336 91623846512 99953287104 103076827326 106401886272 109039949568 118863368448 133271049472 137435769768 141869181696 149929930656 178295052672 183247693024 199906574208 206153654652 212803772544 274871539536 299859861312 356590105344 366495386048 399813148416 412307309304 425607545088 549743079072 599719722624 732990772096 824614618608 1099486158144 1199439445248 1465981544192 1649229237216 2198972316288 3298458474432 4397944632576 6596916948864 13193833897728
• Sum of all divisors σ(n): 44407156320072
• Sum of proper divisors (its aliquot sum) s(n): 31213322422344
• 13193833897728 is an abundant number, because the sum of its proper divisors (31213322422344) is greater than itself. Its abundance is 18019488524616

Bases of 13193833897728

• Binary: 10111111111111101101110010000101111100000000₂
• Hexadecimal: 0xBFFEDC85F00
• Base-36: 4OD5W1Q80

Squares and roots of 13193833897728

• 13193833897728 squared (13193833897728²) is 174077252920836428763561984
• 13193833897728 cubed (13193833897728³) is 2296746360410302171539478823099644772352
• The square root of 13193833897728 is 3632331.7438978505
• The cube root of 13193833897728 is 23629.6345009127

Scales and comparisons

• 13,193,833,897,728 seconds is equal to 419,523 years, 5 weeks, 3 days, 20 hours, 28 minutes, 48 seconds.
• To count from 1 to 13,193,833,897,728 would take you about one million, forty-eight thousand, eight hundred 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 13193833897728 cubic inches would be around 1969.1 feet tall.

Recreational maths with 13193833897728

• 13193833897728 backwards is 82779833839131
• 13193833897728 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13193833897728's digits is 72
• More coming soon!