12984184147968

Names of 12984184147968

• Cardinal: 12984184147968 can be written as Twelve trillion, nine hundred eighty-four billion, one hundred eighty-four million, one hundred forty-seven thousand, nine hundred sixty-eight.

Scientific notation

• Scientific notation: 1.2984184147968 × 10¹³

Factors of 12984184147968

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 26
• Sum of prime factors: 16

Divisors of 12984184147968

• Number of divisors d(n): 780
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 121 128 132 144 162 176 192 198 216 242 243 256 264 288 297 324 352 363 384 396 432 484 486 512 528 576 594 648 704 726 729 768 792 864 891 968 972 1024 1056 1089 1152 1188 1296 1331 1408 1452 1458 1536 1584 1728 1782 1936 1944 2048 2112 2178 2187 2304 2376 2592 2662 2673 2816 2904 2916 3072 3168 3267 3456 3564 3872 3888 3993 4096 4224 4356 4374 4608 4752 5184 5324 5346 5632 5808 5832 6144 6336 6534 6561 6912 7128 7744 7776 7986 8019 8448 8712 8748 9216 9504 9801 10368 10648 10692 11264 11616 11664 11979 12288 12672 13068 13122 13824 14256 14641 15488 15552 15972 16038 16896 17424 17496 18432 19008 19602 19683 20736 21296 21384 22528 23232 23328 23958 24057 25344 26136 26244 27648 28512 29282 29403 30976 31104 31944 32076 33792 34848 34992 35937 36864 38016 39204 39366 41472 42592 42768 43923 45056 46464 46656 47916 48114 50688 52272 52488 55296 57024 58564 58806 61952 62208 63888 64152 67584 69696 69984 71874 72171 76032 78408 78732 82944 85184 85536 87846 88209 92928 93312 95832 96228 101376 104544 104976 107811 110592 114048 117128 117612 123904 124416 127776 128304 131769 135168 139392 139968 143748 144342 152064 156816 157464 161051 165888 170368 171072 175692 176418 185856 186624 191664 192456 202752 209088 209952 215622 216513 228096 234256 235224 247808 248832 255552 256608 263538 264627 278784 279936 287496 288684 304128 313632 314928 322102 323433 331776 340736 342144 351384 352836 371712 373248 383328 384912 395307 405504 418176 419904 431244 433026 456192 468512 470448 483153 495616 497664 511104 513216 527076 529254 557568 559872 574992 577368 608256 627264 629856 644204 646866 681472 684288 702768 705672 743424 746496 766656 769824 790614 793881 836352 839808 862488 866052 912384 937024 940896 966306 970299 995328 1022208 1026432 1054152 1058508 1115136 1119744 1149984 1154736 1185921 1216512 1254528 1259712 1288408 1293732 1362944 1368576 1405536 1411344 1449459 1486848 1492992 1533312 1539648 1581228 1587762 1672704 1679616 1724976 1732104 1824768 1874048 1881792 1932612 1940598 2044416 2052864 2108304 2117016 2230272 2239488 2299968 2309472 2371842 2381643 2509056 2519424 2576816 2587464 2725888 2737152 2811072 2822688 2898918 2910897 2985984 3066624 3079296 3162456 3175524 3345408 3359232 3449952 3464208 3557763 3649536 3748096 3763584 3865224 3881196 4088832 4105728 4216608 4234032 4348377 4460544 4478976 4599936 4618944 4743684 4763286 5018112 5038848 5153632 5174928 5451776 5474304 5622144 5645376 5797836 5821794 6133248 6158592 6324912 6351048 6690816 6718464 6899904 6928416 7115526 7496192 7527168 7730448 7762392 8177664 8211456 8433216 8468064 8696754 8732691 8957952 9199872 9237888 9487368 9526572 10036224 10077696 10307264 10349856 10673289 10948608 11244288 11290752 11595672 11643588 12266496 12317184 12649824 12702096 13045131 13381632 13436928 13799808 13856832 14231052 14992384 15054336 15460896 15524784 16355328 16422912 16866432 16936128 17393508 17465382 18399744 18475776 18974736 19053144 20072448 20155392 20614528 20699712 21346578 22488576 22581504 23191344 23287176 24532992 24634368 25299648 25404192 26090262 26198073 26873856 27599616 27713664 28462104 29984768 30108672 30921792 31049568 32019867 32845824 33732864 33872256 34787016 34930764 36799488 36951552 37949472 38106288 39135393 40144896 40310784 41229056 41399424 42693156 44977152 45163008 46382688 46574352 49065984 49268736 50599296 50808384 52180524 52396146 55199232 55427328 56924208 59969536 60217344 61843584 62099136 64039734 67465728 67744512 69574032 69861528 73598976 73903104 75898944 76212576 78270786 80621568 82458112 82798848 85386312 89954304 90326016 92765376 93148704 96059601 98537472 101198592 101616768 104361048 104792292 110398464 110854656 113848416 117406179 120434688 123687168 124198272 128079468 134931456 135489024 139148064 139723056 147197952 147806208 151797888 152425152 156541572 164916224 165597696 170772624 179908608 180652032 185530752 186297408 192119202 202397184 203233536 208722096 209584584 220796928 221709312 227696832 234812358 247374336 248396544 256158936 269862912 270978048 278296128 279446112 288178803 295612416 303595776 304850304 313083144 329832448 331195392 341545248 352218537 361304064 371061504 372594816 384238404 404794368 406467072 417444192 419169168 441593856 443418624 455393664 469624716 494748672 496793088 512317872 539725824 541956096 556592256 558892224 576357606 607191552 609700608 626166288 659664896 662390784 683090496 704437074 742123008 745189632 768476808 809588736 812934144 834888384 838338336 886837248 910787328 939249432 989497344 993586176 1024635744 1056655611 1083912192 1113184512 1117784448 1152715212 1214383104 1219401216 1252332576 1324781568 1366180992 1408874148 1484246016 1490379264 1536953616 1619177472 1625868288 1669776768 1676676672 1821574656 1878498864 1978994688 1987172352 2049271488 2113311222 2226369024 2235568896 2305430424 2428766208 2438802432 2504665152 2732361984 2817748296 2968492032 2980758528 3073907232 3169966833 3251736576 3339553536 3353353344 3643149312 3756997728 3974344704 4098542976 4226622444 4452738048 4471137792 4610860848 4857532416 4877604864 5009330304 5464723968 5635496592 5936984064 5961517056 6147814464 6339933666 6679107072 6706706688 7286298624 7513995456 8197085952 8453244888 8905476096 8942275584 9221721696 9755209728 10018660608 10929447936 11270993184 11923034112 12295628928 12679867332 13358214144 13413413376 14572597248 15027990912 16394171904 16906489776 17810952192 17884551168 18443443392 20037321216 21858895872 22541986368 24591257856 25359734664 26716428288 26826826752 30055981824 32788343808 33812979552 35769102336 36886886784 40074642432 43717791744 45083972736 49182515712 50719469328 53432856576 53653653504 60111963648 65576687616 67625959104 73773773568 80149284864 90167945472 98365031424 101438938656 107307307008 120223927296 131153375232 135251918208 147547547136 160298569728 180335890944 196730062848 202877877312 240447854592 270503836416 295095094272 360671781888 393460125696 405755754624 480895709184 541007672832 590190188544 721343563776 811511509248 1082015345664 1180380377088 1442687127552 1623023018496 2164030691328 3246046036992 4328061382656 6492092073984 12984184147968
• Sum of all divisors σ(n): 42841827517104
• Sum of proper divisors (its aliquot sum) s(n): 29857643369136
• 12984184147968 is an abundant number, because the sum of its proper divisors (29857643369136) is greater than itself. Its abundance is 16873459221168

Bases of 12984184147968

• Binary: 10111100111100011101101011110001000000000000₂
• Hexadecimal: 0xBCF1DAF1000
• Base-36: 4LOUO0000

Squares and roots of 12984184147968

• 12984184147968 squared (12984184147968²) is 168589037988343498118529024
• 12984184147968 cubed (12984184147968³) is 2188991114569424607833845386558918623232
• The square root of 12984184147968 is 3603357.3439180301
• The cube root of 12984184147968 is 23503.8075303179

Scales and comparisons

• 12,984,184,147,968 seconds is equal to 412,856 years, 46 weeks, 3 days, 2 hours, 52 minutes, 48 seconds.
• To count from 1 to 12,984,184,147,968 would take you about one million, thirty-two thousand, one hundred forty-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 12984184147968 cubic inches would be around 1958.7 feet tall.

Recreational maths with 12984184147968

• 12984184147968 backwards is 86974148148921
• 12984184147968 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 12984184147968's digits is 72
• More coming soon!