828819009000

Names of 828819009000

• Cardinal: 828819009000 can be written as Eight hundred twenty-eight billion, eight hundred nineteen million, nine thousand.

Scientific notation

• Scientific notation: 8.28819009 × 10¹¹

Factors of 828819009000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 944

Divisors of 828819009000

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 47 50 60 72 75 90 94 100 120 125 141 150 180 188 200 225 235 250 282 300 360 375 376 423 450 470 500 564 600 705 750 846 887 900 940 1000 1125 1128 1175 1410 1500 1692 1774 1800 1880 2115 2209 2250 2350 2661 2820 3000 3384 3525 3548 4230 4418 4435 4500 4700 5322 5640 5875 6627 7050 7096 7983 8460 8836 8870 9000 9400 10575 10644 11045 11750 13254 13305 14100 15966 16920 17625 17672 17740 19881 21150 21288 22090 22175 23500 26508 26610 28200 31932 33135 35250 35480 39762 39915 41689 42300 44180 44350 47000 52875 53016 53220 55225 63864 66270 66525 70500 79524 79830 83378 84600 88360 88700 99405 103823 105750 106440 110450 110875 125067 132540 133050 141000 159048 159660 165675 166756 177400 198810 199575 207646 208445 211500 220900 221750 250134 265080 266100 276125 311469 319320 331350 332625 333512 375201 397620 399150 415292 416890 423000 441800 443500 497025 500268 519115 532200 552250 622938 625335 662700 665250 750402 795240 798300 828375 830584 833780 887000 934407 994050 997875 1000536 1038230 1042225 1104500 1245876 1250670 1325400 1330500 1500804 1557345 1596600 1656750 1667560 1868814 1876005 1959383 1988100 1995750 2076460 2084450 2209000 2485125 2491752 2501340 2595575 2661000 3001608 3114690 3126675 3313500 3737628 3752010 3918766 3976200 3991500 4152920 4168900 4672035 4970250 5002680 5191150 5211125 5878149 6229380 6253350 6627000 7475256 7504020 7786725 7837532 7983000 8337800 9344070 9380025 9796915 9940500 10382300 10422250 11756298 12458760 12506700 12977875 15008040 15573450 15633375 15675064 17634447 18688140 18760050 19593830 19881000 20764600 20844500 23360175 23512596 25013400 25955750 29390745 31146900 31266750 35268894 37376280 37520100 38933625 39187660 41689000 46720350 46900125 47025192 48984575 51911500 58781490 62293800 62533500 70537788 75040200 77867250 78375320 88172235 92091001 93440700 93800250 97969150 103823000 116800875 117562980 125067000 141075576 146953725 155734500 176344470 184182002 186881400 187600500 195938300 233601750 235125960 244922875 276273003 293907450 311469000 352688940 368364004 375201000 391876600 440861175 460455005 467203500 489845750 552546006 587814900 705377880 734768625 736728008 828819009 881722350 920910010 934407000 979691500 1105092012 1175629800 1381365015 1469537250 1657638018 1763444700 1841820020 1959383000 2204305875 2210184024 2302275025 2762730030 2939074500 3315276036 3526889400 3683640040 4144095045 4408611750 4604550050 5525460060 5878149000 6630552072 6906825075 8288190090 8817223500 9209100100 11050920120 11511375125 13813650150 16576380180 17634447000 18418200200 20720475225 23022750250 27627300300 33152760360 34534125375 41440950450 46045500500 55254600600 69068250750 82881900900 92091001000 103602376125 138136501500 165763801800 207204752250 276273003000 414409504500 828819009000
• Sum of all divisors σ(n): 2865534796800
• Sum of proper divisors (its aliquot sum) s(n): 2036715787800
• 828819009000 is an abundant number, because the sum of its proper divisors (2036715787800) is greater than itself. Its abundance is 1207896778800

Bases of 828819009000

• Binary: 1100000011111001011101100110110111101000₂
• Hexadecimal: 0xC0F9766DE8
• Base-36: AKR5FSA0

Squares and roots of 828819009000

• 828819009000 squared (828819009000²) is 686940949679742081000000
• 828819009000 cubed (828819009000³) is 569349717155082698950017729000000000
• The square root of 828819009000 is 910394.9741732981
• The cube root of 828819009000 is 9393.3369447715

Scales and comparisons

• 828,819,009,000 seconds is equal to 26,353 years, 45 weeks, 5 days, 14 hours, 30 minutes.
• To count from 1 to 828,819,009,000 would take you about fifty-two thousand, seven hundred seven 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 828819009000 cubic inches would be around 782.8 feet tall.

Recreational maths with 828819009000

• 828819009000 backwards is 000900918828
• 828819009000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 828819009000's digits is 45
• More coming soon!