13648521127329792

Names of 13648521127329792

• Cardinal: 13648521127329792 can be written as Thirteen quadrillion, six hundred forty-eight trillion, five hundred twenty-one billion, one hundred twenty-seven million, three hundred twenty-nine thousand, seven hundred ninety-two.

Scientific notation

• Scientific notation: 1.3648521127329792 × 10¹⁶

Factors of 13648521127329792

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 13749284

Divisors of 13648521127329792

• Number of divisors d(n): 680
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 17 18 22 24 27 32 33 34 36 44 48 51 54 64 66 68 72 81 88 96 99 102 108 128 132 136 144 153 162 176 187 192 198 204 216 256 264 272 288 297 306 324 352 374 384 396 408 432 459 512 528 544 561 576 594 612 648 704 748 768 792 816 864 891 918 1024 1056 1088 1122 1152 1188 1224 1296 1377 1408 1496 1536 1584 1632 1683 1728 1782 1836 2048 2112 2176 2244 2304 2376 2448 2592 2754 2816 2992 3072 3168 3264 3366 3456 3564 3672 4096 4224 4352 4488 4608 4752 4896 5049 5184 5508 5632 5984 6144 6336 6528 6732 6912 7128 7344 8192 8448 8704 8976 9216 9504 9792 10098 10368 11016 11264 11968 12288 12672 13056 13464 13824 14256 14688 15147 16384 16896 17408 17952 18432 19008 19584 20196 20736 22032 22528 23936 24576 25344 26112 26928 27648 28512 29376 30294 32768 33792 34816 35904 36864 38016 39168 40392 41472 44064 45056 47872 49152 50688 52224 53856 55296 57024 58752 60588 65536 67584 69632 71808 73728 76032 78336 80784 82944 88128 90112 95744 98304 101376 104448 107712 110592 114048 117504 121176 135168 139264 143616 147456 152064 156672 161568 165888 176256 180224 191488 196608 202752 208896 215424 221184 228096 235008 242352 270336 278528 287232 294912 304128 313344 323136 331776 352512 360448 382976 405504 417792 430848 442368 456192 470016 484704 540672 557056 574464 589824 608256 626688 646272 663552 705024 720896 765952 811008 835584 861696 884736 912384 940032 969408 1081344 1114112 1148928 1216512 1253376 1292544 1327104 1410048 1531904 1622016 1671168 1723392 1769472 1824768 1880064 1938816 2162688 2297856 2433024 2506752 2585088 2654208 2820096 3063808 3244032 3342336 3446784 3649536 3760128 3877632 4595712 4866048 5013504 5170176 5308416 5640192 6127616 6488064 6893568 7299072 7520256 7755264 9191424 9732096 10027008 10340352 11280384 12255232 13749251 13787136 14598144 15040512 15510528 18382848 19464192 20680704 22560768 27498502 27574272 29196288 30081024 31021056 36765696 41247753 41361408 45121536 54997004 55148544 58392576 62042112 82495506 82722816 90243072 109994008 110297088 123743259 124084224 151241761 164991012 165445632 219988016 233737267 247486518 248168448 302483522 329982024 330891264 371229777 439976032 453725283 467474534 494973036 496336896 604967044 659964048 701211801 742459554 879952064 907450566 934949068 989946072 992673792 1113689331 1209934088 1319928096 1361175849 1402423602 1484919108 1759904128 1814901132 1869898136 1979892144 2103635403 2227378662 2419868176 2571109937 2639856192 2722351698 2804847204 2969838216 3519808256 3629802264 3739796272 3959784288 4083527547 4207270806 4454757324 4839736352 5142219874 5279712384 5444703396 5609694408 5939676432 6310906209 7039616512 7259604528 7479592544 7713329811 7919568576 8167055094 8414541612 8909514648 9679472704 10284439748 10559424768 10889406792 11219388816 11879352864 12250582641 12621812418 14079233024 14519209056 14959185088 15426659622 15839137152 16334110188 16829083224 17819029296 18932718627 19358945408 20568879496 21118849536 21778813584 22438777632 23139989433 23758705728 24501165282 25243624836 28158466048 29038418112 29918370176 30853319244 31678274304 32668220376 33658166448 35638058592 37865437254 38717890816 41137758992 42237699072 43557627168 44877555264 46279978866 47517411456 49002330564 50487249672 56316932096 58076836224 59836740352 61706638488 63356548608 65336440752 67316332896 69419968299 71276117184 75730874508 77435781632 82275517984 84475398144 87115254336 89755110528 92559957732 95034822912 98004661128 100974499344 112633864192 116153672448 119673480704 123413276976 126713097216 130672881504 134632665792 138839936598 142552234368 151461749016 154871563264 164551035968 168950796288 174230508672 179510221056 185119915464 190069645824 196009322256 201948998688 208259904897 225267728384 232307344896 239346961408 246826553952 253426194432 261345763008 269265331584 277679873196 285104468736 302923498032 309743126528 329102071936 337901592576 348461017344 359020442112 370239830928 380139291648 392018644512 403897997376 416519809794 450535456768 464614689792 478693922816 493653107904 506852388864 522691526016 538530663168 555359746392 570208937472 605846996064 619486253056 658204143872 675803185152 696922034688 718040884224 740479661856 760278583296 784037289024 807795994752 833039619588 901070913536 929229379584 957387845632 987306215808 1013704777728 1045383052032 1077061326336 1110719492784 1140417874944 1211693992128 1238972506112 1316408287744 1351606370304 1393844069376 1436081768448 1480959323712 1520557166592 1568074578048 1615591989504 1666079239176 1858458759168 1914775691264 1974612431616 2027409555456 2090766104064 2154122652672 2221438985568 2280835749888 2423387984256 2477945012224 2632816575488 2703212740608 2787688138752 2872163536896 2961918647424 3041114333184 3136149156096 3231183979008 3332158478352 3716917518336 3829551382528 3949224863232 4054819110912 4181532208128 4308245305344 4442877971136 4561671499776 4846775968512 4955890024448 5265633150976 5575376277504 5744327073792 5923837294848 6082228666368 6272298312192 6462367958016 6664316956704 7433835036672 7659102765056 7898449726464 8109638221824 8363064416256 8616490610688 8885755942272 9123342999552 9693551937024 9911780048896 10531266301952 11150752555008 11488654147584 11847674589696 12164457332736 12544596624384 12924735916032 13328633913408 14867670073344 15318205530112 15796899452928 16726128832512 17232981221376 17771511884544 18246685999104 19387103874048 21062532603904 22301505110016 22977308295168 23695349179392 24328914665472 25089193248768 25849471832064 26657267826816 29735340146688 31593798905856 33452257665024 34465962442752 35543023769088 36493371998208 38774207748096 42125065207808 44603010220032 45954616590336 47390698358784 50178386497536 51698943664128 53314535653632 63187597811712 66904515330048 68931924885504 71086047538176 72986743996416 77548415496192 84250130415616 89206020440064 94781396717568 100356772995072 103397887328256 106629071307264 126375195623424 133809030660096 137863849771008 142172095076352 155096830992384 168500260831232 189562793435136 200713545990144 206795774656512 213258142614528 252750391246848 267618061320192 284344190152704 310193661984768 379125586870272 401427091980288 413591549313024 426516285229056 505500782493696 568688380305408 620387323969536 758251173740544 802854183960576 853032570458112 1137376760610816 1240774647939072 1516502347481088 1706065140916224 2274753521221632 3412130281832448 4549507042443264 6824260563664896 13648521127329792
• Sum of all divisors σ(n): 47100422867601312
• Sum of proper divisors (its aliquot sum) s(n): 33451901740271520
• 13648521127329792 is an abundant number, because the sum of its proper divisors (33451901740271520) is greater than itself. Its abundance is 19803380612941728

Bases of 13648521127329792

• Binary: 110000011111010100000111110101100000010000000000000000₂
• Hexadecimal: 0x307D41F5810000
• Base-36: 3QDZW1OU800

Squares and roots of 13648521127329792

• 13648521127329792 squared (13648521127329792²) is 186282128963167696288139930763264
• 13648521127329792 cubed (13648521127329792³) is 2542475572797767263507618325448984183524806361088
• The square root of 13648521127329792 is 116826885.2932825219
• The cube root of 13648521127329792 is 238980.1698463967

Scales and comparisons

• 13,648,521,127,329,792 seconds is equal to 433,980,754 years, 10 weeks, 3 days, 6 hours, 43 minutes, 12 seconds.
• To count from 1 to 13,648,521,127,329,792 would take you about one billion, three hundred one million, nine hundred forty-two thousand, two hundred sixty-two 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 13648521127329792 cubic inches would be around 19915 feet tall.

Recreational maths with 13648521127329792

• 13648521127329792 backwards is 29792372112584631
• 13648521127329792 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13648521127329792's digits is 72
• More coming soon!