12384730086400

Names of 12384730086400

• Cardinal: 12384730086400 can be written as Twelve trillion, three hundred eighty-four billion, seven hundred thirty million, eighty-six thousand, four hundred.

Scientific notation

• Scientific notation: 1.23847300864 × 10¹³

Factors of 12384730086400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 226

Divisors of 12384730086400

• Number of divisors d(n): 792
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 73 80 98 100 112 128 139 140 146 160 175 196 200 224 245 256 278 280 292 320 343 350 365 392 400 448 490 511 512 556 560 584 640 686 695 700 730 784 800 896 973 980 1022 1024 1112 1120 1168 1225 1280 1372 1390 1400 1460 1568 1600 1715 1792 1825 1946 1960 2044 2224 2240 2336 2450 2555 2560 2744 2780 2800 2920 3136 3200 3430 3475 3577 3584 3650 3892 3920 4088 4448 4480 4672 4865 4900 5110 5120 5488 5560 5600 5840 6272 6400 6811 6860 6950 7154 7168 7300 7784 7840 8176 8575 8896 8960 9344 9730 9800 10147 10220 10976 11120 11200 11680 12544 12775 12800 13622 13720 13900 14308 14600 15568 15680 16352 17150 17792 17885 17920 18688 19321 19460 19600 20294 20440 21952 22240 22400 23360 24325 25039 25088 25550 25600 27244 27440 27800 28616 29200 31136 31360 32704 34055 34300 35584 35770 35840 37376 38642 38920 39200 40588 40880 43904 44480 44800 46720 47677 48650 50078 50176 50735 51100 54488 54880 55600 57232 58400 62272 62720 65408 68110 68600 71029 71168 71540 74752 77284 77840 78400 81176 81760 87808 88960 89425 89600 93440 95354 96605 97300 100156 101470 102200 108976 109760 111200 114464 116800 124544 125195 125440 130816 135247 136220 137200 142058 142336 143080 154568 155680 156800 162352 163520 170275 175616 177920 178850 179200 186880 190708 193210 194600 200312 202940 204400 217952 219520 222400 228928 233600 238385 249088 250390 250880 253675 261632 270494 272440 274400 284116 286160 309136 311360 313600 324704 327040 340550 351232 355145 355840 357700 373760 381416 386420 389200 400624 405880 408800 435904 439040 444800 457856 467200 476770 483025 497203 498176 500780 507350 523264 540988 544880 548800 568232 572320 618272 622720 625975 627200 649408 654080 676235 681100 710290 711680 715400 762832 772840 778400 801248 811760 817600 871808 878080 889600 915712 934400 946729 953540 966050 994406 996352 1001560 1014700 1081976 1089760 1097600 1136464 1144640 1191925 1236544 1245440 1251950 1254400 1298816 1308160 1352470 1362200 1410433 1420580 1430800 1525664 1545680 1556800 1602496 1623520 1635200 1743616 1756160 1775725 1779200 1831424 1868800 1893458 1907080 1932100 1988812 2003120 2029400 2163952 2179520 2195200 2272928 2289280 2383850 2473088 2486015 2490880 2503900 2597632 2616320 2704940 2724400 2820866 2841160 2861600 3051328 3091360 3113600 3204992 3247040 3270400 3381175 3480421 3487232 3551450 3558400 3662848 3786916 3814160 3864200 3977624 4006240 4058800 4327904 4359040 4390400 4545856 4578560 4733645 4767700 4946176 4972030 4981760 5007800 5195264 5409880 5448800 5641732 5682320 5723200 6102656 6182720 6227200 6409984 6494080 6540800 6627103 6762350 6960842 6974464 7052165 7102900 7573832 7628320 7728400 7955248 8012480 8117600 8655808 8718080 8780800 9091712 9157120 9467290 9535400 9873031 9892352 9944060 10015600 10390528 10819760 10897600 11283464 11364640 11446400 12205312 12365440 12430075 12454400 12819968 12988160 13081600 13254206 13524700 13921684 14104330 14205800 15147664 15256640 15456800 15910496 16024960 16235200 17311616 17402105 17436160 18183424 18314240 18934580 19070800 19746062 19784704 19888120 20031200 21639520 21795200 22566928 22729280 22892800 23668225 24410624 24730880 24860150 24908800 25639936 25976320 26508412 27049400 27843368 28208660 28411600 30295328 30513280 30913600 31820992 32049920 32470400 33135515 34623232 34804210 34872320 35260825 36366848 37869160 38141600 39492124 39776240 40062400 43279040 43590400 45133856 45458560 45785600 47336450 48821248 49365155 49461760 49720300 51952640 53016824 54098800 55686736 56417320 56823200 60590656 61026560 61827200 63641984 64099840 64940800 66271030 69111217 69246464 69608420 70521650 72733696 75738320 76283200 78984248 79552480 80124800 86558080 87010525 87180800 90267712 90917120 91571200 94672900 98730310 98923520 99440600 106033648 108197600 111373472 112834640 113646400 121181312 122053120 123654400 127283968 128199680 129881600 132542060 138222434 138492928 139216840 141043300 151476640 152566400 157968496 159104960 160249600 165677575 173116160 174021050 174361600 180535424 181834240 189345800 197460620 198881200 212067296 216395200 222746944 225669280 227292800 242362624 244106240 246825775 247308800 254567936 259763200 265084120 276444868 278433680 282086600 302953280 305132800 315936992 318209920 320499200 331355150 345556085 346232320 348042100 361070848 363668480 378691600 394921240 397762400 424134592 432790400 445493888 451338560 454585600 483778519 484725248 493651550 494617600 509135872 530168240 552889736 556867360 564173200 605906560 610265600 631873984 636419840 640998400 662710300 691112170 692464640 696084200 722141696 757383200 789842480 795524800 848269184 865580800 890987776 902677120 909171200 967557038 969450496 987303100 1060336480 1105779472 1113734720 1128346400 1211813120 1220531200 1263747968 1272839680 1325420600 1382224340 1392168400 1444283392 1514766400 1579684960 1591049600 1696538368 1727780425 1731161600 1781975552 1805354240 1818342400 1935114076 1974606200 2120672960 2211558944 2227469440 2256692800 2418892595 2423626240 2527495936 2545679360 2650841200 2764448680 2784336800 3029532800 3159369920 3182099200 3393076736 3455560850 3462323200 3563951104 3610708480 3870228152 3949212400 4241345920 4423117888 4454938880 4513385600 4837785190 4847252480 5054991872 5301682400 5528897360 5568673600 6059065600 6318739840 6364198400 6786153472 6911121700 7221416960 7740456304 7898424800 8482691840 8846235776 8909877760 9026771200 9675570380 10109983744 10603364800 11057794720 11137347200 12094462975 12118131200 12637479680 12728396800 13822243400 15480912608 15796849600 16965383680 17692471552 17819755520 18053542400 19351140760 21206729600 22115589440 22274694400 24188925950 24236262400 25274959360 27644486800 30961825216 31593699200 33930767360 35384943104 36107084800 38702281520 42413459200 44231178880 44549388800 48377851900 50549918720 55288973600 61923650432 63187398400 70769886208 77404563040 84826918400 88462357760 89098777600 96755703800 110577947200 123847300864 126374796800 154809126080 169653836800 176924715520 193511407600 221155894400 247694601728 252749593600 309618252160 353849431040 387022815200 442311788800 495389203456 619236504320 774045630400 884623577600 1238473008640 1548091260800 1769247155200 2476946017280 3096182521600 6192365043200 12384730086400
• Sum of all divisors σ(n): 36554125639200
• Sum of proper divisors (its aliquot sum) s(n): 24169395552800
• 12384730086400 is an abundant number, because the sum of its proper divisors (24169395552800) is greater than itself. Its abundance is 11784665466400

Bases of 12384730086400

• Binary: 10110100001110001011011011111111110000000000₂
• Hexadecimal: 0xB438B6FFC00
• Base-36: 4E1GSJ1TS

Squares and roots of 12384730086400

• 12384730086400 squared (12384730086400²) is 153381539312981351464960000
• 12384730086400 cubed (12384730086400³) is 1899588964627824529570222827372544000000
• The square root of 12384730086400 is 3519194.5223871895
• The cube root of 12384730086400 is 23136.3856816291

Scales and comparisons

• 12,384,730,086,400 seconds is equal to 393,796 years, 5 weeks, 4 days, 9 hours, 46 minutes, 40 seconds.
• To count from 1 to 12,384,730,086,400 would take you about nine hundred eighty-four thousand, four hundred ninety 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 12384730086400 cubic inches would be around 1928 feet tall.

Recreational maths with 12384730086400

• 12384730086400 backwards is 00468003748321
• The number of decimal digits it has is: 14
• The sum of 12384730086400's digits is 46
• More coming soon!