13894967625728000

Names of 13894967625728000

• Cardinal: 13894967625728000 can be written as Thirteen quadrillion, eight hundred ninety-four trillion, nine hundred sixty-seven billion, six hundred twenty-five million, seven hundred twenty-eight thousand.

Scientific notation

• Scientific notation: 1.3894967625728 × 10¹⁶

Factors of 13894967625728000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 25
• Sum of prime factors: 55

Divisors of 13894967625728000

• Number of divisors d(n): 1500
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 41 49 50 56 64 70 80 82 98 100 112 125 128 140 160 164 175 196 200 205 224 245 250 256 280 287 320 328 343 350 392 400 410 448 490 500 512 560 574 640 656 686 700 784 800 820 875 896 980 1000 1024 1025 1120 1148 1225 1280 1312 1372 1400 1435 1568 1600 1640 1681 1715 1750 1792 1960 2000 2009 2048 2050 2240 2296 2401 2450 2560 2624 2744 2800 2870 3136 3200 3280 3362 3430 3500 3584 3920 4000 4018 4096 4100 4480 4592 4802 4900 5120 5125 5248 5488 5600 5740 6125 6272 6400 6560 6724 6860 7000 7168 7175 7840 8000 8036 8192 8200 8405 8575 8960 9184 9604 9800 10045 10240 10250 10496 10976 11200 11480 11767 12005 12250 12544 12800 13120 13448 13720 14000 14063 14336 14350 15680 16000 16072 16384 16400 16810 17150 17920 18368 19208 19600 20090 20480 20500 20992 21952 22400 22960 23534 24010 24500 25088 25600 26240 26896 27440 28000 28126 28672 28700 31360 32000 32144 32800 33620 34300 35840 35875 36736 38416 39200 40180 40960 41000 41984 42025 42875 43904 44800 45920 47068 48020 49000 50176 50225 51200 52480 53792 54880 56000 56252 57344 57400 58835 60025 62720 64000 64288 65600 67240 68600 68921 70315 71680 71750 73472 76832 78400 80360 81920 82000 82369 83968 84050 85750 87808 89600 91840 94136 96040 98000 98441 100352 100450 102400 104960 107584 109760 112000 112504 114688 114800 117670 120050 125440 128000 128576 131200 134480 137200 137842 140630 143360 143500 146944 153664 156800 160720 164000 164738 167936 168100 171500 175616 179200 183680 188272 192080 196000 196882 200704 200900 204800 209920 210125 215168 219520 224000 225008 229600 235340 240100 250880 251125 256000 257152 262400 268960 274400 275684 281260 286720 287000 293888 294175 300125 307328 313600 321440 328000 329476 335872 336200 343000 344605 351232 351575 358400 367360 376544 384160 392000 393764 401408 401800 409600 411845 419840 420250 430336 439040 448000 450016 459200 470680 480200 482447 492205 501760 502250 512000 514304 524800 537920 548800 551368 562520 573440 574000 576583 587776 588350 600250 614656 627200 642880 656000 658952 671744 672400 686000 689210 702464 703150 716800 734720 753088 768320 784000 787528 802816 803600 823690 839680 840500 860672 878080 896000 900032 918400 941360 960400 964894 984410 1003520 1004500 1024000 1028608 1049600 1075840 1097600 1102736 1125040 1148000 1153166 1175552 1176700 1200500 1229312 1254400 1285760 1312000 1317904 1344800 1372000 1378420 1404928 1406300 1433600 1469440 1470875 1506176 1536640 1568000 1575056 1607200 1647380 1679360 1681000 1721344 1723025 1756160 1757875 1792000 1800064 1836800 1882720 1920800 1929788 1968820 2007040 2009000 2048000 2057216 2059225 2099200 2151680 2195200 2205472 2250080 2296000 2306332 2351104 2353400 2401000 2412235 2458624 2461025 2508800 2571520 2624000 2635808 2689600 2744000 2756840 2809856 2812600 2825761 2867200 2882915 2938880 2941750 3012352 3073280 3136000 3150112 3214400 3294760 3358720 3362000 3377129 3442688 3446050 3512320 3515750 3584000 3600128 3673600 3765440 3841600 3859576 3937640 4014080 4018000 4036081 4114432 4118450 4198400 4303360 4390400 4410944 4500160 4592000 4612664 4702208 4706800 4802000 4824470 4917248 4922050 5017600 5143040 5248000 5271616 5379200 5488000 5513680 5619712 5625200 5651522 5765830 5877760 5883500 6024704 6146560 6272000 6300224 6428800 6589520 6724000 6754258 6885376 6892100 7024640 7031500 7168000 7200256 7347200 7530880 7683200 7719152 7875280 8036000 8072162 8228864 8236900 8396800 8606720 8615125 8780800 8821888 9000320 9184000 9225328 9413600 9604000 9648940 9834496 9844100 10035200 10286080 10296125 10496000 10543232 10758400 10976000 11027360 11250400 11303044 11531660 11755520 11767000 12049408 12061175 12293120 12305125 12544000 12600448 12857600 13179040 13448000 13508516 13770752 13784200 14049280 14063000 14128805 14336000 14400512 14414575 14694400 15061760 15366400 15438304 15750560 16072000 16144324 16457728 16473800 16793600 16885645 17213440 17230250 17561600 17643776 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3373834240 3377129000 3442688000 3458180096 3461557225 3528755200 3600128000 3616974080 3690131200 3782384480 3859576000 3876944092 3952205824 3956065400 4032143360 4036081000 4114432000 4132946944 4136983025 4217292800 4322725120 4410944000 4430793248 4521217600 4612664000 4723367936 4727980600 4819763200 4846180115 4917248000 4940257280 4945081750 5040179200 5063763712 5166183680 5271616000 5295338272 5403406400 5538491560 5646008320 5651522000 5760204800 5787158528 5904209920 5909975750 6024704000 6051815168 6175321600 6300224000 6329704640 6457729600 6619172840 6747668480 6754258000 6784652161 6916360192 6923114450 7057510400 7200256000 7233948160 7380262400 7564768960 7719152000 7753888184 7904411648 7912130800 8064286720 8072162000 8265893888 8273966050 8434585600 8645450240 8821888000 8861586496 9042435200 9225328000 9446735872 9455961200 9692360230 9880514560 9890163500 10080358400 10127527424 10332367360 10543232000 10590676544 10806812800 11076983120 11303044000 11574317056 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40510109696 41329469440 41369830250 42172928000 42362706176 43227251200 44307932480 45212176000 46297268224 47233679360 47279806000 48414521344 48461801150 49402572800 50401792000 50637637120 51661836800 52953382720 54034064000 54277217288 55330881536 55384915600 57871585280 59042099200 60518151680 61753216000 62031105472 63297046400 64577296000 66127151104 66191728400 67846521610 69163601920 69231144500 70575104000 70892691968 72339481600 73802624000 75647689600 77538881840 79121308000 81020219392 82658938880 82739660500 84345856000 84725412352 86454502400 88615864960 90424352000 94559612000 96829042688 96923602300 98805145600 100803584000 101275274240 103323673600 105906765440 108068128000 108554434576 110769831200 115743170560 118084198400 121036303360 121154502875 123506432000 124062210944 126594092800 129154592000 132383456800 135693043220 138327203840 138462289000 141150208000 141785383936 144678963200 147605248000 151295379200 155077763680 158242616000 162040438784 165317877760 165479321000 168691712000 169450824704 169616304025 172909004800 177231729920 180848704000 189119224000 193658085376 193847204600 197610291200 201607168000 202550548480 206647347200 211813530880 216136256000 217108869152 221539662400 231486341120 236168396800 242072606720 242309005750 247012864000 248124421888 253188185600 258309184000 264766913600 271386086440 276654407680 276924578000 283570767872 289357926400 295210496000 302590758400 310155527360 316485232000 324080877568 330635755520 330958642000 338901649408 339232608050 345818009600 354463459840 361697408000 378238448000 387316170752 387694409200 405101096960 413294694400 423627061760 432272512000 434217738304 443079324800 484145213440 484618011500 494025728000 496248843776 506376371200 516618368000 529533827200 542772172880 553849156000 567141535744 578715852800 590420992000 605181516800 620311054720 632970464000 661917284000 677803298816 678465216100 691636019200 708926919680 723394816000 756476896000 775388818400 810202193920 826589388800 847254123520 848081520125 864545024000 868435476608 886158649600 968290426880 969236023000 988051456000 992497687552 1012752742400 1033236736000 1059067654400 1085544345760 1107698312000 1134283071488 1157431705600 1180841984000 1210363033600 1240622109440 1265940928000 1323834568000 1355606597632 1356930432200 1383272038400 1417853839360 1446789632000 1512953792000 1550777636800 1620404387840 1653178777600 1694508247040 1696163040250 1729090048000 1736870953216 1772317299200 1936580853760 1938472046000 1984995375104 2025505484800 2066473472000 2118135308800 2171088691520 2215396624000 2268566142976 2420726067200 2481244218880 2531881856000 2647669136000 2711213195264 2713860864400 2835707678720 2893579264000 3025907584000 3101555273600 3389016494080 3392326080500 3458180096000 3473741906432 3544634598400 3876944092000 3969990750208 4051010969600 4132946944000 4236270617600 4342177383040 4430793248000 4841452134400 4962488437760 5063763712000 5295338272000 5427721728800 5671415357440 5787158528000 6051815168000 6203110547200 6778032988160 6784652161000 6916360192000 6947483812864 7089269196800 7753888184000 7939981500416 8102021939200 8265893888000 8472541235200 8684354766080 8861586496000 9682904268800 9924976875520 10127527424000 10590676544000 10855443457600 11342830714880 12103630336000 12406221094400 13556065976320 13569304322000 13894967625728 14178538393600 15507776368000 15879963000832 16945082470400 17368709532160 17723172992000 19849953751040 20255054848000 21181353088000 21710886915200 24207260672000 24812442188800 27138608644000 27789935251456 28357076787200 31015552736000 33890164940800 34737419064320 35446345984000 39699907502080 40510109696000 42362706176000 43421773830400 48414521344000 49624884377600 54277217288000 55579870502912 56714153574400 62031105472000 67780329881600 69474838128640 70892691968000 79399815004160 84725412352000 86843547660800 99249768755200 108554434576000 111159741005824 124062210944000 138949676257280 141785383936000 169450824704000 173687095321600 198499537510400 217108869152000 248124421888000 277899352514560 283570767872000 338901649408000 347374190643200 396999075020800 434217738304000 496248843776000 555798705029120 694748381286400 868435476608000 992497687552000 1389496762572800 1736870953216000 1984995375104000 2778993525145600 3473741906432000 6947483812864000 13894967625728000
• Sum of all divisors σ(n): 41469965765379060
• Sum of proper divisors (its aliquot sum) s(n): 27574998139651060
• 13894967625728000 is an abundant number, because the sum of its proper divisors (27574998139651060) is greater than itself. Its abundance is 13680030513923060

Bases of 13894967625728000

• Binary: 110001010111010110011001000001011111110100000000000000₂
• Hexadecimal: 0x315D66417F4000
• Base-36: 3STCS06XBSW

Squares and roots of 13894967625728000

• 13894967625728000 squared (13894967625728000²) is 193070125320029213487529984000000
• 13894967625728000 cubed (13894967625728000³) is 2682703140817053736696423736315689828352000000000
• The square root of 13894967625728000 is 117876917.2727553135
• The cube root of 13894967625728000 is 240409.9914920967

Scales and comparisons

• 13,894,967,625,728,000 seconds is equal to 441,816,990 years, 28 weeks, 1 day, 53 minutes, 20 seconds.
• To count from 1 to 13,894,967,625,728,000 would take you about one billion, three hundred twenty-five million, four hundred fifty thousand, nine hundred seventy-one 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 13894967625728000 cubic inches would be around 20034.2 feet tall.

Recreational maths with 13894967625728000

• 13894967625728000 backwards is 00082752676949831
• The number of decimal digits it has is: 17
• The sum of 13894967625728000's digits is 77
• More coming soon!