31668468786072000

Names of 31668468786072000

• Cardinal: 31668468786072000 can be written as Thirty-one quadrillion, six hundred sixty-eight trillion, four hundred sixty-eight billion, seven hundred eighty-six million, seventy-two thousand.

Scientific notation

• Scientific notation: 3.1668468786072 × 10¹⁶

Factors of 31668468786072000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 5283

Divisors of 31668468786072000

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 90 96 100 108 120 125 135 144 150 160 180 192 200 216 225 240 250 270 288 300 320 360 375 400 432 450 480 500 540 576 600 675 720 750 800 864 900 960 1000 1080 1125 1200 1350 1440 1500 1600 1728 1800 2000 2160 2250 2400 2700 2880 3000 3375 3600 4000 4320 4500 4800 5273 5400 6000 6750 7200 8000 8640 9000 10546 10800 12000 13500 14400 15819 18000 21092 21600 24000 26365 27000 31638 36000 42184 43200 47457 52730 54000 63276 72000 79095 84368 94914 105460 108000 126552 131825 142371 158190 168736 189828 210920 216000 237285 253104 263650 284742 316380 337472 379656 395475 421840 474570 506208 527300 569484 632760 659125 711855 759312 790950 843680 949140 1012416 1054600 1138968 1186425 1265520 1318250 1423710 1518624 1581900 1687360 1898280 1977375 2109200 2277936 2372850 2531040 2636500 2847420 3037248 3163800 3559275 3796560 3954750 4218400 4555872 4745700 5062080 5273000 5694840 5932125 6327600 7118550 7593120 7909500 8436800 9111744 9491400 10546000 11389680 11864250 12655200 14237100 15186240 15819000 17796375 18982800 21092000 22779360 23728500 25310400 27804529 28474200 31638000 35592750 37965600 42184000 45558720 47457000 55609058 56948400 63276000 71185500 75931200 83413587 94914000 111218116 113896800 126552000 139022645 142371000 166827174 189828000 222436232 227793600 250240761 278045290 284742000 333654348 379656000 417067935 444872464 500481522 556090580 569484000 667308696 695113225 750722283 834135870 889744928 1000963044 1112181160 1138968000 1251203805 1334617392 1390226450 1501444566 1668271740 1779489856 2001926088 2085339675 2224362320 2502407610 2669234784 2780452900 3002889132 3336543480 3475566125 3753611415 4003852176 4170679350 4448724640 5004815220 5338469568 5560905800 6005778264 6256019025 6673086960 6951132250 7507222830 8007704352 8341358700 8897449280 10009630440 10426698375 11121811600 12011556528 12512038050 13346173920 13902264500 15014445660 16015408704 16682717400 18768057075 20019260880 20853396750 22243623200 24023113056 25024076100 26692347840 27804529000 30028891320 31280095125 33365434800 37536114150 40038521760 41706793500 44487246400 48046226112 50048152200 55609058000 60057782640 62560190250 66730869600 75072228300 80077043520 83413587000 93840285375 100096304400 111218116000 120115565280 125120380500 133461739200 150144456600 166827174000 187680570750 200192608800 222436232000 240231130560 250240761000 300288913200 333654348000 375361141500 400385217600 500481522000 600577826400 667308696000 750722283000 1000963044000 1201155652800 1501444566000 2001926088000 3002889132000 6005778264000
• Sum of all divisors σ(n): 31684501720489440
• Sum of proper divisors (its aliquot sum) s(n): 16032934417440
• 31668468786072000 is a deficient number, because the sum of its proper divisors (16032934417440) is less than itself. Its deficiency is 31652435851654560

Bases of 31668468786072000

• Binary: 1110000100000100100110111111000100100110000100111000000₂
• Hexadecimal: 0x70824DF89309C0
• Base-36: 8NTJ9PVLDC0

Squares and roots of 31668468786072000

• 31668468786072000 squared (31668468786072000²) is 1002891915254416573301189184000000
• 31668468786072000 cubed (31668468786072000³) is 31760051314038456718128108643462496245248000000000
• The square root of 31668468786072000 is 177956367.6468813521
• 31668468786072000 is a perfect cube number. Its cube root is 316380

Scales and comparisons

• 31,668,468,786,072,000 seconds is equal to 1,006,959,350 years, 20 weeks, 2 days, 12 hours.
• To count from 1 to 31,668,468,786,072,000 would take you about three billion, twenty million, eight hundred seventy-eight thousand and fifty-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 31668468786072000 cubic inches would be around 26365 feet tall.

Recreational maths with 31668468786072000

• 31668468786072000 backwards is 00027068786486613
• 31668468786072000 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 31668468786072000's digits is 72
• More coming soon!