2042416768000

Names of 2042416768000

• Cardinal: 2042416768000 can be written as Two trillion, forty-two billion, four hundred sixteen million, seven hundred sixty-eight thousand.

Scientific notation

• Scientific notation: 2.042416768 × 10¹²

Factors of 2042416768000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 14690

Divisors of 2042416768000

• Number of divisors d(n): 352
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 157 160 175 200 224 250 256 280 314 320 350 400 448 500 512 560 628 640 700 785 800 875 896 1000 1024 1099 1120 1256 1280 1400 1570 1600 1750 1792 2000 2198 2240 2512 2560 2800 3140 3200 3500 3584 3925 4000 4396 4480 5024 5120 5495 5600 6280 6400 7000 7168 7850 8000 8792 8960 10048 10990 11200 12560 12800 14000 14519 15700 16000 17584 17920 19625 20096 21980 22400 25120 25600 27475 28000 29038 31400 32000 35168 35840 39250 40192 43960 44800 50240 54950 56000 58076 62800 64000 70336 72595 78500 80384 87920 89600 100480 101633 109900 112000 116152 125600 128000 137375 140672 145190 157000 160768 175840 179200 200960 203266 219800 224000 232304 251200 274750 281344 290380 314000 351680 362975 401920 406532 439600 448000 464608 502400 508165 549500 562688 580760 628000 703360 725950 803840 813064 879200 896000 929216 1004800 1016330 1099000 1125376 1161520 1256000 1406720 1451900 1626128 1758400 1814875 1858432 2009600 2032660 2198000 2279483 2323040 2512000 2540825 2813440 2903800 3252256 3516800 3629750 3716864 4019200 4065320 4396000 4558966 4646080 5024000 5081650 5626880 5807600 6504512 7033600 7259500 7433728 8130640 8792000 9117932 9292160 10048000 10163300 11397415 11615200 12704125 13009024 14067200 14519000 14867456 15956381 16261280 17584000 18235864 18584320 20096000 20326600 22794830 23230400 25408250 26018048 28134400 29038000 31912762 32522560 35168000 36471728 37168640 40653200 45589660 46460800 50816500 52036096 56987075 58076000 63825524 65045120 70336000 72943456 74337280 79781905 81306400 91179320 92921600 101633000 104072192 113974150 116152000 127651048 130090240 140672000 145886912 159563810 162612800 182358640 185843200 203266000 227948300 232304000 255302096 260180480 284935375 291773824 319127620 325225600 364717280 371686400 398909525 406532000 455896600 464608000 510604192 520360960 569870750 583547648 638255240 650451200 729434560 797819050 813064000 911793200 929216000 1021208384 1139741500 1167095296 1276510480 1300902400 1458869120 1595638100 1626128000 1823586400 1858432000 1994547625 2042416768 2279483000 2334190592 2553020960 2601804800 2917738240 3191276200 3252256000 3647172800 3989095250 4084833536 4558966000 5106041920 5835476480 6382552400 6504512000 7294345600 7978190500 8169667072 9117932000 10212083840 11670952960 12765104800 13009024000 14588691200 15956381000 16339334144 18235864000 20424167680 25530209600 29177382400 31912762000 36471728000 40848335360 51060419200 58354764800 63825524000 72943456000 81696670720 102120838400 127651048000 145886912000 204241676800 255302096000 291773824000 408483353600 510604192000 1021208384000 2042416768000
• Sum of all divisors σ(n): 5860789608960
• Sum of proper divisors (its aliquot sum) s(n): 3818372840960
• 2042416768000 is an abundant number, because the sum of its proper divisors (3818372840960) is greater than itself. Its abundance is 1775956072960

Bases of 2042416768000

• Binary: 11101101110001001100001101010010000000000₂
• Hexadecimal: 0x1DB8986A400
• Base-36: Q29U7K74

Squares and roots of 2042416768000

• 2042416768000 squared (2042416768000²) is 4171466254207565824000000
• 2042416768000 cubed (2042416768000³) is 8519872624739682991401336832000000000
• The square root of 2042416768000 is 1429131.4733081767
• The cube root of 2042416768000 is 12687.6577718901

Scales and comparisons

• 2,042,416,768,000 seconds is equal to 64,942 years, 27 weeks, 5 days, 23 hours, 6 minutes, 40 seconds.
• To count from 1 to 2,042,416,768,000 would take you about one hundred sixty-two thousand, three hundred fifty-six 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 2042416768000 cubic inches would be around 1057.3 feet tall.

Recreational maths with 2042416768000

• 2042416768000 backwards is 0008676142402
• 2042416768000 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 2042416768000's digits is 40
• More coming soon!