12198948971328

Names of 12198948971328

• Cardinal: 12198948971328 can be written as Twelve trillion, one hundred ninety-eight billion, nine hundred forty-eight million, nine hundred seventy-one thousand, three hundred twenty-eight.

Scientific notation

• Scientific notation: 1.2198948971328 × 10¹³

Factors of 12198948971328

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 3149

Divisors of 12198948971328

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 81 84 96 98 108 112 126 144 147 162 168 189 192 196 216 224 243 252 288 294 324 336 343 378 392 432 441 448 486 504 567 576 588 648 672 686 729 756 784 864 882 972 1008 1029 1134 1176 1296 1323 1344 1372 1458 1512 1568 1701 1728 1764 1944 2016 2058 2187 2268 2352 2592 2646 2744 2916 3024 3087 3136 3137 3402 3528 3888 3969 4032 4116 4374 4536 4704 5103 5184 5292 5488 5832 6048 6174 6274 6561 6804 7056 7776 7938 8232 8748 9072 9261 9408 9411 10206 10584 10976 11664 11907 12096 12348 12548 13122 13608 14112 15309 15552 15876 16464 17496 18144 18522 18822 19683 20412 21168 21952 21959 23328 23814 24696 25096 26244 27216 27783 28224 28233 30618 31752 32928 34992 35721 36288 37044 37644 39366 40824 42336 43918 45927 46656 47628 49392 50192 52488 54432 55566 56466 59049 61236 63504 65856 65877 69984 71442 74088 75288 78732 81648 83349 84672 84699 87836 91854 95256 98784 100384 104976 107163 108864 111132 112932 118098 122472 127008 131754 137781 139968 142884 148176 150576 153713 157464 163296 166698 169398 175672 177147 183708 190512 197568 197631 200768 209952 214326 222264 225864 236196 244944 250047 254016 254097 263508 275562 285768 296352 301152 307426 314928 321489 326592 333396 338796 351344 354294 367416 381024 395262 413343 419904 428652 444528 451728 461139 472392 489888 500094 508194 527016 551124 571536 592704 592893 602304 614852 629856 642978 666792 677592 702688 708588 734832 750141 762048 762291 790524 826686 857304 889056 903456 922278 944784 964467 979776 1000188 1016388 1054032 1075991 1102248 1143072 1185786 1229704 1240029 1259712 1285956 1333584 1355184 1383417 1405376 1417176 1469664 1500282 1524582 1581048 1653372 1714608 1778112 1778679 1806912 1844556 1889568 1928934 2000376 2032776 2108064 2151982 2204496 2250423 2286144 2286873 2371572 2459408 2480058 2571912 2667168 2710368 2766834 2834352 2893401 2939328 3000564 3049164 3162096 3227973 3306744 3429216 3557358 3689112 3779136 3857868 4000752 4065552 4150251 4216128 4303964 4408992 4500846 4573746 4743144 4918816 4960116 5143824 5334336 5336037 5420736 5533668 5668704 5786802 6001128 6098328 6324192 6455946 6613488 6751269 6858432 6860619 7114716 7378224 7715736 8001504 8131104 8300502 8607928 8680203 8817984 9001692 9147492 9486288 9683919 9837632 9920232 10287648 10672074 11067336 11337408 11573604 12002256 12196656 12450753 12648384 12911892 13226976 13502538 13721238 14229432 14756448 15431472 16003008 16008111 16262208 16601004 17215856 17360406 18003384 18294984 18972576 19367838 19840464 20253807 20575296 20581857 21344148 22134672 23147208 24004512 24393312 24901506 25823784 26453952 27005076 27442476 28458864 29051757 29512896 30862944 32016222 33202008 34431712 34720812 36006768 36589968 37352259 37945152 38735676 39680928 40507614 41163714 42688296 44269344 46294416 48009024 48024333 48786624 49803012 51647568 54010152 54884952 56917728 58103514 60761421 61725888 61745571 64032444 66404016 68863424 69441624 72013536 73179936 74704518 77471352 79361856 81015228 82327428 85376592 87155271 88538688 92588832 96048666 99606024 103295136 108020304 109769904 112056777 113835456 116207028 121522842 123491142 128064888 132808032 138883248 144027072 144072999 146359872 149409036 154942704 162030456 164654856 170753184 174310542 185177664 185236713 192097332 199212048 206590272 216040608 219539808 224113554 232414056 243045684 246982284 256129776 261465813 265616064 277766496 288145998 298818072 309885408 324060912 329309712 336170331 341506368 348621084 370473426 384194664 398424096 432081216 432218997 439079616 448227108 464828112 486091368 493964568 512259552 522931626 555532992 555710139 576291996 597636144 619770816 648121824 658619424 672340662 697242168 740946852 768389328 784397439 796848192 864437994 896454216 929656224 972182736 987929136 1008510993 1024519104 1045863252 1111420278 1152583992 1195272288 1296243648 1296656991 1317238848 1344681324 1394484336 1481893704 1536778656 1568794878 1728875988 1792908432 1859312448 1944365472 1975858272 2017021986 2091726504 2222840556 2305167984 2353192317 2390544576 2593313982 2689362648 2788968672 2963787408 3025532979 3073557312 3137589756 3457751976 3585816864 3888730944 3889970973 3951716544 4034043972 4183453008 4445681112 4610335968 4706384634 5186627964 5378725296 5577937344 5927574816 6051065958 6275179512 6915503952 7059576951 7171633728 7779941946 8068087944 8366906016 8891362224 9076598937 9220671936 9412769268 10373255928 10757450592 11855149632 12102131916 12550359024 13831007904 14119153902 15559883892 16136175888 16733812032 17782724448 18153197874 18825538536 20746511856 21178730853 21514901184 24204263832 25100718048 27229796811 27662015808 28238307804 31119767784 32272351776 35565448896 36306395748 37651077072 41493023712 42357461706 48408527664 50201436096 54459593622 56476615608 62239535568 63536192559 64544703552 72612791496 75302154144 82986047424 84714923412 96817055328 108919187244 112953231216 124479071136 127072385118 145225582992 150604308288 169429846824 190608577677 193634110656 217838374488 225906462432 248958142272 254144770236 290451165984 338859693648 381217155354 435676748976 451812924864 508289540472 580902331968 677719387296 762434310708 871353497952 1016579080944 1355438774592 1524868621416 1742706995904 2033158161888 3049737242832 4066316323776 6099474485664 12198948971328
• Sum of all divisors σ(n): 42358531488000
• Sum of proper divisors (its aliquot sum) s(n): 30159582516672
• 12198948971328 is an abundant number, because the sum of its proper divisors (30159582516672) is greater than itself. Its abundance is 17960633545344

Bases of 12198948971328

• Binary: 10110001100001001010000001010010001101000000₂
• Hexadecimal: 0xB184A052340
• Base-36: 4BO4B9000

Squares and roots of 12198948971328

• 12198948971328 squared (12198948971328²) is 148814356005064469366083584
• 12198948971328 cubed (12198948971328³) is 1815378735106819988131707505288867479552
• The square root of 12198948971328 is 3492699.3817573249
• The cube root of 12198948971328 is 23020.1140815547

Scales and comparisons

• 12,198,948,971,328 seconds is equal to 387,888 years, 43 weeks, 6 days, 28 minutes, 48 seconds.
• To count from 1 to 12,198,948,971,328 would take you about nine hundred sixty-nine thousand, seven hundred twenty-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 12198948971328 cubic inches would be around 1918.3 feet tall.

Recreational maths with 12198948971328

• 12198948971328 backwards is 82317984989121
• 12198948971328 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 12198948971328's digits is 72
• More coming soon!