146461195328000

Names of 146461195328000

• Cardinal: 146461195328000 can be written as One hundred forty-six trillion, four hundred sixty-one billion, one hundred ninety-five million, three hundred twenty-eight thousand.

Scientific notation

• Scientific notation: 1.46461195328 × 10¹⁴

Factors of 146461195328000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 10545926

Divisors of 146461195328000

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 40 50 56 62 64 70 80 100 112 124 125 128 140 155 160 175 200 217 224 248 250 256 280 310 320 350 400 434 448 496 500 512 560 620 640 700 775 800 868 875 896 992 1000 1085 1120 1240 1280 1400 1550 1600 1736 1750 1792 1984 2000 2170 2240 2480 2560 2800 3100 3200 3472 3500 3584 3875 3968 4000 4340 4480 4960 5425 5600 6200 6400 6944 7000 7750 7936 8000 8680 8960 9920 10850 11200 12400 12800 13888 14000 15500 15872 16000 17360 17920 19840 21700 22400 24800 27125 27776 28000 31000 32000 34720 39680 43400 44800 49600 54250 55552 56000 62000 64000 69440 79360 86800 89600 99200 108500 111104 112000 124000 138880 173600 198400 217000 224000 248000 277760 347200 396800 434000 448000 496000 555520 694400 868000 992000 1388800 1736000 1984000 2777600 3472000 6944000 10545881 13888000 21091762 42183524 52729405 73821167 84367048 105458810 147642334 168734096 210917620 263647025 295284668 326922311 337468192 369105835 421835240 527294050 590569336 653844622 674936384 738211670 843670480 1054588100 1181138672 1307689244 1318235125 1349872768 1476423340 1634611555 1687340960 1845529175 2109176200 2288456177 2362277344 2615378488 2636470250 2699745536 2952846680 3269223110 3374681920 3691058350 4218352400 4576912354 4724554688 5230756976 5272940500 5399491072 5905693360 6538446220 6749363840 7382116700 8173057775 8436704800 9153824708 9227645875 9449109376 10461513952 10545881000 11442280885 11811386720 13076892440 13498727680 14764233400 16346115550 16873409600 18307649416 18455291750 18898218752 20923027904 21091762000 22884561770 23622773440 26153784880 26997455360 29528466800 32692231100 33746819200 36615298832 36910583500 37796437504 40865288875 41846055808 42183524000 45769123540 47245546880 52307569760 57211404425 59056933600 65384462200 67493638400 73230597664 73821167000 81730577750 83692111616 84367048000 91538247080 94491093760 104615139520 114422808850 118113867200 130768924400 134987276800 146461195328 147642334000 163461155500 167384223232 168734096000 183076494160 188982187520 209230279040 228845617700 236227734400 261537848800 286057022125 292922390656 295284668000 326922311000 337468192000 366152988320 418460558080 457691235400 472455468800 523075697600 572114044250 585844781312 590569336000 653844622000 674936384000 732305976640 836921116160 915382470800 944910937600 1046151395200 1144228088500 1171689562624 1181138672000 1307689244000 1464611953280 1830764941600 2092302790400 2288456177000 2362277344000 2615378488000 2929223906560 3661529883200 4184605580800 4576912354000 4724554688000 5230756976000 5858447813120 7323059766400 9153824708000 10461513952000 14646119532800 18307649416000 20923027904000 29292239065600 36615298832000 73230597664000 146461195328000
• Sum of all divisors σ(n): 430847031453696
• Sum of proper divisors (its aliquot sum) s(n): 284385836125696
• 146461195328000 is an abundant number, because the sum of its proper divisors (284385836125696) is greater than itself. Its abundance is 137924640797696

Bases of 146461195328000

• Binary: 100001010011010010100111100001010101101000000000₂
• Hexadecimal: 0x8534A7855A00
• Base-36: 1FWZCE6K8W

Squares and roots of 146461195328000

• 146461195328000 squared (146461195328000²) is 21450881736906569027584000000
• 146461195328000 cubed (146461195328000³) is 3141721780026900912835295243927552000000000
• The square root of 146461195328000 is 12102115.3245207509
• The cube root of 146461195328000 is 52711.7609201897

Scales and comparisons

• 146,461,195,328,000 seconds is equal to 4,657,012 years, 50 weeks, 5 days, 16 hours, 53 minutes, 20 seconds.
• To count from 1 to 146,461,195,328,000 would take you about eleven million, six hundred forty-two thousand, five hundred thirty-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 146461195328000 cubic inches would be around 4392.6 feet tall.

Recreational maths with 146461195328000

• 146461195328000 backwards is 000823591164641
• 146461195328000 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 146461195328000's digits is 50
• More coming soon!