21984647528448

Names of 21984647528448

• Cardinal: 21984647528448 can be written as Twenty-one trillion, nine hundred eighty-four billion, six hundred forty-seven million, five hundred twenty-eight thousand, four hundred forty-eight.

Scientific notation

• Scientific notation: 2.1984647528448 × 10¹³

Factors of 21984647528448

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 790

Divisors of 21984647528448

• Number of divisors d(n): 810
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 41 44 48 64 66 72 82 88 96 99 121 123 128 132 144 164 176 192 198 242 246 256 264 288 328 352 363 369 384 396 451 484 492 512 528 576 656 704 726 733 738 768 792 902 968 984 1024 1056 1089 1152 1312 1353 1408 1452 1466 1476 1536 1584 1681 1804 1936 1968 2048 2112 2178 2199 2304 2624 2706 2816 2904 2932 2952 3072 3168 3362 3608 3872 3936 4059 4096 4224 4356 4398 4608 4961 5043 5248 5412 5632 5808 5864 5904 6144 6336 6597 6724 7216 7744 7872 8063 8118 8192 8448 8712 8796 9216 9922 10086 10496 10824 11264 11616 11728 11808 12288 12672 13194 13448 14432 14883 15129 15488 15744 16126 16236 16384 16896 17424 17592 18432 18491 19844 20172 20992 21648 22528 23232 23456 23616 24189 24576 25344 26388 26896 28864 29766 30053 30258 30976 31488 32252 32472 33792 34848 35184 36864 36982 39688 40344 41984 43296 44649 45056 46464 46912 47232 48378 49152 50688 52776 53792 55473 57728 59532 60106 60516 61952 62976 64504 64944 67584 69696 70368 72567 73728 73964 79376 80688 83968 86592 88693 89298 90112 90159 92928 93824 94464 96756 101376 105552 107584 110946 115456 119064 120212 121032 123904 125952 129008 129888 135168 139392 140736 145134 147456 147928 158752 161376 166419 167936 173184 177386 178596 180224 180318 185856 187648 188928 193512 202752 203401 211104 215168 221892 230912 238128 240424 242064 247808 251904 258016 259776 266079 270336 270477 278784 281472 290268 295856 317504 322752 330583 332838 335872 346368 354772 357192 360636 371712 375296 377856 387024 405504 406802 422208 430336 443784 461824 476256 480848 484128 495616 503808 516032 519552 532158 540672 540954 557568 562944 580536 591712 610203 635008 645504 661166 665676 671744 692736 709544 714384 721272 743424 750592 755712 774048 798237 811008 813604 844416 860672 887568 923648 952512 961696 968256 991232 991749 1007616 1032064 1039104 1064316 1081908 1115136 1125888 1161072 1183424 1220406 1232173 1270016 1291008 1322332 1331352 1385472 1419088 1428768 1442544 1486848 1501184 1511424 1548096 1596474 1622016 1627208 1688832 1721344 1775136 1830609 1847296 1905024 1923392 1936512 1982464 1983498 2015232 2064128 2078208 2128632 2163816 2230272 2251776 2322144 2366848 2440812 2464346 2540032 2582016 2644664 2662704 2770944 2838176 2857536 2885088 2973696 2975247 3002368 3022848 3096192 3192948 3254416 3377664 3442688 3550272 3636413 3661218 3694592 3696519 3810048 3846784 3873024 3966996 4128256 4156416 4257264 4327632 4460544 4503552 4644288 4733696 4881624 4928692 5080064 5164032 5289328 5325408 5541888 5676352 5715072 5770176 5947392 5950494 6004736 6045696 6192384 6385896 6508832 6755328 6885376 7100544 7272826 7322436 7389184 7393038 7620096 7693568 7746048 7933992 8256512 8312832 8514528 8655264 8921088 9007104 9288576 9467392 9763248 9857384 10160128 10328064 10578656 10650816 10909239 11083776 11089557 11352704 11430144 11540352 11900988 12009472 12384768 12771792 13017664 13510656 13553903 13770752 14201088 14545652 14644872 14786076 15240192 15387136 15492096 15867984 16513024 16625664 17029056 17310528 17842176 18014208 18577152 18934784 19526496 19714768 20320256 20656128 21157312 21301632 21818478 22167552 22179114 22705408 22860288 23080704 23801976 24769536 25543584 26035328 27021312 27107806 27541504 28402176 29091304 29289744 29572152 30480384 30774272 30984192 31735968 32727717 33026048 33251328 34058112 34621056 36028416 37154304 37869568 39052992 39429536 40640512 40661709 41312256 42314624 42603264 43636956 44358228 45410816 45720576 46161408 47603952 49539072 51087168 52070656 54042624 54215612 56804352 58182608 58579488 59144304 60960768 61548544 61968384 63471936 65455434 66052096 66502656 68116224 69242112 74308608 75739136 78105984 78859072 81281024 81323418 82624512 84629248 85206528 87273912 88716456 90821632 91441152 92322816 95207904 99078144 102174336 104141312 108085248 108431224 113608704 116365216 117158976 118288608 121921536 121985127 123097088 123936768 126943872 130910868 132104192 136232448 138484224 148617216 149092933 151478272 156211968 157718144 162646836 169258496 170413056 174547824 177432912 181643264 182882304 184645632 190415808 198156288 204348672 208282624 216862448 227217408 232730432 234317952 236577216 243843072 243970254 246194176 247873536 253887744 261821736 272464896 276968448 297234432 298185866 302956544 312423936 315436288 325293672 338516992 340826112 349095648 354865824 363286528 365764608 369291264 380831616 396312576 408697344 416565248 433724896 447278799 454434816 465460864 468635904 473154432 487940508 492388352 507775488 523643472 544929792 553936896 594468864 596371732 624847872 630872576 650587344 677033984 681652224 698191296 709731648 726573056 731529216 738582528 761663232 817394688 833130496 867449792 894557598 908869632 930921728 937271808 946308864 975881016 1015550976 1047286944 1089859584 1107873792 1188937728 1192743464 1249695744 1261745152 1301174688 1341836397 1354067968 1363304448 1396382592 1419463296 1453146112 1477165056 1523326464 1634789376 1666260992 1734899584 1789115196 1861843456 1874543616 1892617728 1951762032 2031101952 2094573888 2179719168 2215747584 2385486928 2499391488 2523490304 2602349376 2683672794 2708135936 2726608896 2792765184 2838926592 3046652928 3269578752 3332521984 3469799168 3578230392 3723686912 3749087232 3785235456 3903524064 4062203904 4189147776 4359438336 4431495168 4770973856 4998782976 5046980608 5204698752 5367345588 5416271872 5585530368 5677853184 6093305856 6539157504 6939598336 7156460784 7447373824 7498174464 7570470912 7807048128 8124407808 8378295552 9541947712 9997565952 10093961216 10409397504 10734691176 11171060736 11355706368 12186611712 13078315008 13879196672 14312921568 14894747648 14996348928 15140941824 15614096256 16248815616 16756591104 19083895424 20187922432 20818795008 21469382352 22342121472 22711412736 24373223424 27758393344 28625843136 29789495296 29992697856 30281883648 31228192512 33513182208 38167790848 41637590016 42938764704 44684242944 45422825472 48746446848 55516786688 57251686272 59578990592 60563767296 62456385024 67026364416 76335581696 83275180032 85877529408 89368485888 90845650944 111033573376 114503372544 124912770048 134052728832 152671163392 166550360064 171755058816 178736971776 181691301888 222067146752 229006745088 249825540096 268105457664 305342326784 333100720128 343510117632 458013490176 499651080192 536210915328 610684653568 666201440256 687020235264 916026980352 999302160384 1221369307136 1374040470528 1832053960704 1998604320768 2442738614272 2748080941056 3664107921408 5496161882112 7328215842816 10992323764224 21984647528448
• Sum of all divisors σ(n): 71649474877526
• Sum of proper divisors (its aliquot sum) s(n): 49664827349078
• 21984647528448 is an abundant number, because the sum of its proper divisors (49664827349078) is greater than itself. Its abundance is 27680179820630

Bases of 21984647528448

• Binary: 100111111111010110011000110110100000000000000₂
• Hexadecimal: 0x13FEB31B4000
• Base-36: 7SJLVIF40

Squares and roots of 21984647528448

• 21984647528448 squared (21984647528448²) is 483324726950094754969288704
• 21984647528448 cubed (21984647528448³) is 10625723763781205111874981072538165051392
• The square root of 21984647528448 is 4688778.8952399963
• The cube root of 21984647528448 is 28013.8738763113

Scales and comparisons

• 21,984,647,528,448 seconds is equal to 699,043 years, 40 weeks, 6 days, 23 hours, 40 minutes, 48 seconds.
• To count from 1 to 21,984,647,528,448 would take you about one million, seven hundred forty-seven thousand, six hundred nine 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 21984647528448 cubic inches would be around 2334.5 feet tall.

Recreational maths with 21984647528448

• 21984647528448 backwards is 84482574648912
• 21984647528448 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 21984647528448's digits is 72
• More coming soon!