12984104646656

Names of 12984104646656

• Cardinal: 12984104646656 can be written as Twelve trillion, nine hundred eighty-four billion, one hundred four million, six hundred forty-six thousand, six hundred fifty-six.

Scientific notation

• Scientific notation: 1.2984104646656 × 10¹³

Factors of 12984104646656

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 84201

Divisors of 12984104646656

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 4 8 11 13 16 17 22 26 31 32 34 44 52 62 64 68 88 104 124 128 136 143 176 187 208 221 248 256 272 286 341 352 374 403 416 442 496 512 527 544 572 682 704 748 806 832 884 992 1024 1054 1088 1144 1364 1408 1496 1612 1664 1768 1984 2048 2108 2176 2288 2431 2728 2816 2992 3224 3328 3536 3968 4216 4352 4433 4576 4862 5456 5632 5797 5984 6448 6656 6851 7072 7936 8432 8704 8866 9152 9724 10912 11264 11594 11968 12896 13312 13702 14144 15872 16864 17408 17732 18304 19448 21824 22528 23188 23936 25792 26624 27404 28288 31744 33728 34816 35464 36608 38896 43648 46376 47872 51584 54808 56576 63488 67456 70928 73216 75361 77792 84127 87296 92752 95744 103168 109616 113152 134912 141856 146432 150722 155584 168254 174592 185504 191488 206336 219232 226304 269824 283712 292864 301444 311168 336508 349184 371008 382976 412672 438464 452608 539648 567424 602888 622336 673016 698368 742016 825344 876928 925397 1079296 1093651 1134848 1205776 1244672 1346032 1430159 1484032 1753856 1850794 2187302 2269696 2411552 2489344 2607937 2692064 2860318 2968064 3507712 3701588 4374604 4539392 4823104 4978688 5215874 5384128 5720636 5936128 7015424 7403176 8749208 9078784 9646208 10431748 10768256 11441272 11872256 12030161 14030848 14806352 15731749 17498416 18592067 19292416 20863496 21536512 22882544 24060322 28687307 29612704 31463498 33903181 34996832 37184134 38584832 41726992 43073024 44334929 45765088 48120644 57374614 59225408 62926996 67806362 69993664 74368268 77169664 83453984 86146048 88669858 91530176 96241288 114749228 118450816 125853992 135612724 139987328 148736536 154339328 166907968 172292096 177339716 183060352 192482576 204512737 229498456 236901632 251707984 271225448 279974656 297473072 333815936 354679432 366120704 372934991 384965152 409025474 458996912 473803264 487684219 503415968 542450896 559949312 576354077 594946144 667631872 709358864 732241408 745869982 769930304 818050948 917993824 947606528 975368438 1006831936 1084901792 1119898624 1152708154 1189892288 1335263744 1418717728 1464482816 1491739964 1539860608 1636101896 1835987648 1895213056 1950736876 2013663872 2169803584 2239797248 2305416308 2379784576 2670527488 2837435456 2928965632 2983479928 3079721216 3272203792 3671975296 3901473752 4027327744 4339607168 4610832616 4759569152 5341054976 5674870912 5966959856 6159442432 6339894847 6544407584 7343950592 7802947504 8054655488 8679214336 9221665232 9519138304 11349741824 11933919712 12318884864 12679789694 13088815168 14687901184 15605895008 16109310976 17358428672 18443330464 19038276608 22699483648 23867839424 24637769728 25359579388 26177630336 29375802368 31211790016 32218621952 34716857344 36886660928 38076553216 45398967296 47735678848 50719158776 52355260672 58751604736 62423580032 69433714688 73773321856 90797934592 95471357696 101438317552 104710521344 124847160064 147546643712 190942715392 202876635104 209421042688 249694320128 295093287424 381885430784 405753270208 418842085376 499388640256 590186574848 763770861568 811506540416 998777280512 1180373149696 1623013080832 3246026161664 6492052323328 12984104646656
• Sum of all divisors σ(n): 33336978554880
• Sum of proper divisors (its aliquot sum) s(n): 20352873908224
• 12984104646656 is an abundant number, because the sum of its proper divisors (20352873908224) is greater than itself. Its abundance is 7368769261568

Bases of 12984104646656

• Binary: 10111100111100011000111100011111100000000000₂
• Hexadecimal: 0xBCF18F1F800
• Base-36: 4LOTCO0E8

Squares and roots of 12984104646656

• 12984104646656 squared (12984104646656²) is 168586973475313930611982336
• 12984104646656 cubed (12984104646656³) is 2188950905666495427367367410608993468416
• The square root of 12984104646656 is 3603346.3123402393
• The cube root of 12984104646656 is 23503.7595594603

Scales and comparisons

• 12,984,104,646,656 seconds is equal to 412,854 years, 18 weeks, 6 days, 23 hours, 10 minutes, 56 seconds.
• To count from 1 to 12,984,104,646,656 would take you about one million, thirty-two thousand, one hundred thirty-five 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 12984104646656 cubic inches would be around 1958.6 feet tall.

Recreational maths with 12984104646656

• 12984104646656 backwards is 65664640148921
• 12984104646656 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 12984104646656's digits is 62
• More coming soon!