468964845409240800

Names of 468964845409240800

• Cardinal: 468964845409240800 can be written as Four hundred sixty-eight quadrillion, nine hundred sixty-four trillion, eight hundred forty-five billion, four hundred nine million, two hundred forty thousand, eight hundred.

Scientific notation

• Scientific notation: 4.689648454092408 × 10¹⁷

Factors of 468964845409240800

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 2412370603967

Divisors of 468964845409240800

• Number of divisors d(n): 216
• 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 72 75 80 81 90 96 100 108 120 135 144 150 160 162 180 200 216 225 240 243 270 288 300 324 360 400 405 432 450 480 486 540 600 648 675 720 800 810 864 900 972 1080 1200 1215 1296 1350 1440 1620 1800 1944 2025 2160 2400 2430 2592 2700 3240 3600 3888 4050 4320 4860 5400 6075 6480 7200 7776 8100 9720 10800 12150 12960 16200 19440 21600 24300 32400 38880 48600 64800 97200 194400 2412370603957 4824741207914 7237111811871 9649482415828 12061853019785 14474223623742 19298964831656 21711335435613 24123706039570 28948447247484 36185559059355 38597929663312 43422670871226 48247412079140 57896894494968 60309265098925 65134006306839 72371118118710 77195859326624 86845341742452 96494824158280 108556677178065 115793788989936 120618530197850 130268012613678 144742236237420 173690683484904 180927795296775 192989648316560 195402018920517 217113354356130 231587577979872 241237060395700 260536025227356 289484472474840 325670031534195 347381366969808 361855590593550 385979296633120 390804037841034 434226708712260 482474120791400 521072050454712 542783385890325 578968944949680 586206056761551 651340063068390 694762733939616 723711181187100 781608075682068 868453417424520 964948241582800 977010094602585 1042144100909424 1085566771780650 1157937889899360 1172412113523102 1302680126136780 1447422362374200 1563216151364136 1628350157670975 1736906834849040 1929896483165600 1954020189205170 2084288201818848 2171133543561300 2344824227046204 2605360252273560 2894844724748400 2931030283807755 3126432302728272 3256700315341950 3473813669698080 3908040378410340 4342267087122600 4689648454092408 4885050473012925 5210720504547120 5789689449496800 5862060567615510 6252864605456544 6513400630683900 7816080756820680 8684534174245200 9379296908184816 9770100946025850 10421441009094240 11724121135231020 13026801261367800 14655151419038775 15632161513641360 17369068348490400 18758593816369632 19540201892051700 23448242270462040 26053602522735600 29310302838077550 31264323027282720 39080403784103400 46896484540924080 52107205045471200 58620605676155100 78160807568206800 93792969081848160 117241211352310200 156321615136413600 234482422704620400 468964845409240800
• Sum of all divisors σ(n): 1714934963388910536
• Sum of proper divisors (its aliquot sum) s(n): 1245970117979669736
• 468964845409240800 is an abundant number, because the sum of its proper divisors (1245970117979669736) is greater than itself. Its abundance is 777005272570428936

Bases of 468964845409240800

• Binary: 11010000010000110010000101011001110110000111000011011100000₂
• Hexadecimal: 0x682190ACEC386E0
• Base-36: 3K9M5VSZ6600

Squares and roots of 468964845409240800

• 468964845409240800 squared (468964845409240800²) is 219928026229713121846830032384640000
• 468964845409240800 cubed (468964845409240800³) is 103138512821976869978033541633701877897915981312000000
• The square root of 468964845409240800 is 684810079.8098994103
• The cube root of 468964845409240800 is 776926.7882971675

Scales and comparisons

• 468,964,845,409,240,800 seconds is equal to 14,911,631,480 years, 26 weeks, 1 day, 6 hours.
• To count from 1 to 468,964,845,409,240,800 would take you about forty-four billion, seven hundred thirty-four million, eight hundred ninety-four thousand, four hundred forty-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 468964845409240800 cubic inches would be around 64743.9 feet tall.

Recreational maths with 468964845409240800

• 468964845409240800 backwards is 008042904548469864
• 468964845409240800 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 468964845409240800's digits is 81
• More coming soon!