468832328668800

Names of 468832328668800

• Cardinal: 468832328668800 can be written as Four hundred sixty-eight trillion, eight hundred thirty-two billion, three hundred twenty-eight million, six hundred sixty-eight thousand, eight hundred.

Scientific notation

• Scientific notation: 4.688323286688 × 10¹⁴

Factors of 468832328668800

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 16278900311

Divisors of 468832328668800

• Number of divisors d(n): 144
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 128 144 150 160 180 192 200 225 240 288 300 320 360 384 400 450 480 576 600 640 720 800 900 960 1152 1200 1440 1600 1800 1920 2400 2880 3200 3600 4800 5760 7200 9600 14400 28800 16278900301 32557800602 48836700903 65115601204 81394501505 97673401806 130231202408 146510102709 162789003010 195346803612 244183504515 260462404816 293020205418 325578006020 390693607224 406972507525 488367009030 520924809632 586040410836 651156012040 732550513545 781387214448 813945015050 976734018060 1041849619264 1172080821672 1220917522575 1302312024080 1465101027090 1562774428896 1627890030100 1953468036120 2083699238528 2344161643344 2441835045150 2604624048160 2930202054180 3125548857792 3255780060200 3662752567725 3906936072240 4688323286688 4883670090300 5209248096320 5860404108360 6251097715584 6511560120400 7325505135450 7813872144480 9376646573376 9767340180600 10418496192640 11720808216720 13023120240800 14651010270900 15627744288960 18753293146752 19534680361200 23441616433440 26046240481600 29302020541800 31255488577920 39069360722400 46883232866880 52092480963200 58604041083600 78138721444800 93766465733760 117208082167200 156277442889600 234416164334400 468832328668800
• Sum of all divisors σ(n): 1672901189535030
• Sum of proper divisors (its aliquot sum) s(n): 1204068860866230
• 468832328668800 is an abundant number, because the sum of its proper divisors (1204068860866230) is greater than itself. Its abundance is 735236532197430

Bases of 468832328668800

• Binary: 1101010100110011010001000011010001101011010000000₂
• Hexadecimal: 0x1AA668868D680
• Base-36: 4M6QLJLI80

Squares and roots of 468832328668800

• 468832328668800 squared (468832328668800²) is 219803752405009706380093440000
• 468832328668800 cubed (468832328668800³) is 103051105090181049113246151959734812672000000
• The square root of 468832328668800 is 21652536.3102986159
• The cube root of 468832328668800 is 77685.3601926815

Scales and comparisons

• 468,832,328,668,800 seconds is equal to 14,907,417 years, 44 weeks, 4 days, 8 hours.
• To count from 1 to 468,832,328,668,800 would take you about thirty-seven million, two hundred sixty-eight thousand, five hundred forty-four 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 468832328668800 cubic inches would be around 6473.8 feet tall.

Recreational maths with 468832328668800

• 468832328668800 backwards is 008866823238864
• 468832328668800 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 468832328668800's digits is 72
• More coming soon!