12146349308967200

Names of 12146349308967200

• Cardinal: 12146349308967200 can be written as Twelve quadrillion, one hundred forty-six trillion, three hundred forty-nine billion, three hundred eight million, nine hundred sixty-seven thousand, two hundred.

Scientific notation

• Scientific notation: 1.21463493089672 × 10¹⁶

Factors of 12146349308967200

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 4723147

Divisors of 12146349308967200

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 101 136 160 170 200 202 272 340 400 404 425 505 544 680 800 808 850 1010 1360 1616 1700 1717 1873 2020 2525 2720 3232 3400 3434 3746 4040 5050 6800 6868 7492 8080 8585 9365 10100 13600 13736 14984 16160 17170 18730 20200 27472 29968 31841 34340 37460 40400 42925 46825 54944 59936 63682 68680 74920 80800 85850 93650 127364 137360 149840 159205 171700 187300 189173 254728 274720 299680 318410 343400 374600 378346 509456 636820 686800 749200 756692 796025 945865 1018912 1273640 1373600 1498400 1513384 1592050 1891730 2547280 3026768 3184100 3215941 3783460 4721149 4729325 5094560 6053536 6368200 6431882 7566920 9442298 9458650 12736400 12863764 15133840 16079705 18884596 18917300 23605745 25472800 25727528 30267680 32159410 37769192 37834600 47211490 51455056 64318820 75538384 75669200 80259533 80398525 94422980 102910112 118028725 128637640 151076768 151338400 160519066 160797050 188845960 236057450 257275280 321038132 321594100 377691920 401297665 472114900 476836049 514550560 642076264 643188200 755383840 802595330 944229800 953672098 1284152528 1286376400 1605190660 1888459600 1907344196 2006488325 2384180245 2568305056 2572752800 3210381320 3776919200 3814688392 4012976650 4768360490 6420762640 7629376784 8025953300 8106212833 8842712077 9536720980 11920901225 12841525280 15258753568 16051906600 16212425666 17685424154 19073441960 23841802450 32103813200 32424851332 35370848308 38146883920 40531064165 44213560385 47683604900 64207626400 64849702664 70741696616 76293767840 81062128330 88427120770 95367209800 129699405328 141483393232 150326105309 162124256660 176854241540 190734419600 202655320825 221067801925 259398810656 282966786464 300652210618 324248513320 353708483080 381468839200 405310641650 442135603850 601304421236 648497026640 707416966160 751630526545 810621283300 884271207700 893113919777 1202608842472 1296994053280 1414833932320 1503261053090 1621242566600 1768542415400 1786227839554 2405217684944 3006522106180 3242485133200 3537084830800 3572455679108 3758152632725 4465569598885 4810435369888 6013044212360 6484970266400 7074169661600 7144911358216 7516305265450 8931139197770 12026088424720 14289822716432 15032610530900 15182936636209 17862278395540 22327847994425 24052176849440 28579645432864 30065221061800 30365873272418 35724556791080 44655695988850 60130442123600 60731746544836 71449113582160 75914683181045 89311391977700 120260884247200 121463493089672 142898227164320 151829366362090 178622783955400 242926986179344 303658732724180 357245567910800 379573415905225 485853972358688 607317465448360 714491135821600 759146831810450 1214634930896720 1518293663620900 2429269861793440 3036587327241800 6073174654483600 12146349308967200
• Sum of all divisors σ(n): 31724318817550800
• Sum of proper divisors (its aliquot sum) s(n): 19577969508583600
• 12146349308967200 is an abundant number, because the sum of its proper divisors (19577969508583600) is greater than itself. Its abundance is 7431620199616400

Bases of 12146349308967200

• Binary: 101011001001110000101001010011111000001111100100100000₂
• Hexadecimal: 0x2B270A53E0F920
• Base-36: 3BLIRU942ZK

Squares and roots of 12146349308967200

• 12146349308967200 squared (12146349308967200²) is 147533801535447976966330675840000
• 12146349308967200 cubed (12146349308967200³) is 1791997088329392565340075827110191348392448000000
• The square root of 12146349308967200 is 110210477.3103138319
• The cube root of 12146349308967200 is 229869.8022348341

Scales and comparisons

• 12,146,349,308,967,200 seconds is equal to 386,216,336 years, 46 weeks, 5 days, 13 hours, 33 minutes, 20 seconds.
• To count from 1 to 12,146,349,308,967,200 would take you about one billion, one hundred fifty-eight million, six hundred forty-nine thousand and ten 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 12146349308967200 cubic inches would be around 19155.8 feet tall.

Recreational maths with 12146349308967200

• 12146349308967200 backwards is 00276980394364121
• The number of decimal digits it has is: 17
• The sum of 12146349308967200's digits is 65
• More coming soon!