820009008

Names of 820009008

• Cardinal: 820009008 can be written as Eight hundred twenty million, nine thousand and eight.

Scientific notation

• Scientific notation: 8.20009008 × 10⁸

Factors of 820009008

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 451

Divisors of 820009008

• Number of divisors d(n): 400
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 17 18 21 24 26 27 28 34 36 39 42 48 51 52 54 56 63 68 72 78 81 84 91 102 104 108 112 117 119 126 136 144 153 156 162 168 182 189 204 208 216 221 234 238 252 272 273 306 312 324 336 351 357 364 378 408 409 432 442 459 468 476 504 546 567 612 624 648 663 702 714 728 756 816 818 819 884 918 936 952 1008 1053 1071 1092 1134 1224 1227 1296 1326 1377 1404 1428 1456 1512 1547 1636 1638 1768 1836 1872 1904 1989 2106 2142 2184 2268 2448 2454 2457 2652 2754 2808 2856 2863 3024 3094 3213 3272 3276 3536 3672 3681 3978 4212 4284 4368 4536 4641 4908 4914 5304 5317 5508 5616 5712 5726 5967 6188 6426 6544 6552 6953 7344 7362 7371 7956 8424 8568 8589 9072 9282 9639 9816 9828 10608 10634 11016 11043 11452 11934 12376 12852 13104 13906 13923 14724 14742 15912 15951 16848 17136 17178 17901 18564 19278 19632 19656 20859 21268 22032 22086 22904 23868 24752 25704 25767 27812 27846 29448 29484 31824 31902 33129 34356 35802 37128 37219 38556 39312 41718 41769 42536 44172 45808 47736 47853 48671 51408 51534 55624 55692 58896 58968 62577 63804 66258 68712 71604 74256 74438 77112 77301 83436 83538 85072 88344 90389 95472 95706 97342 103068 111248 111384 111657 117936 125154 125307 127608 132516 137424 143208 143559 146013 148876 154224 154602 166872 167076 176688 180778 187731 191412 194684 206136 222768 223314 231903 250308 250614 255216 265032 271167 286416 287118 292026 297752 309204 333744 334152 334971 361556 375462 382824 389368 412272 430677 438039 446628 463806 500616 501228 530064 542334 563193 574236 584052 595504 618408 632723 668304 669942 723112 750924 765648 778736 813501 861354 876078 893256 927612 1001232 1002456 1004913 1084668 1126386 1148472 1168104 1236816 1265446 1314117 1339884 1446224 1501848 1627002 1722708 1752156 1786512 1855224 1898169 2004912 2009826 2169336 2252772 2296944 2336208 2440503 2530892 2628234 2679768 3003696 3014739 3254004 3445416 3504312 3710448 3796338 3942351 4019652 4338672 4505544 4881006 5061784 5256468 5359536 5694507 6029478 6508008 6890832 7008624 7321509 7592676 7884702 8039304 9011088 9762012 10123568 10512936 11389014 12058956 13016016 14643018 15185352 15769404 16078608 17083521 19524024 21025872 22778028 24117912 29286036 30370704 31538808 34167042 39048048 45556056 48235824 51250563 58572072 63077616 68334084 91112112 102501126 117144144 136668168 205002252 273336336 410004504 820009008
• Sum of all divisors σ(n): 3100426560
• Sum of proper divisors (its aliquot sum) s(n): 2280417552
• 820009008 is an abundant number, because the sum of its proper divisors (2280417552) is greater than itself. Its abundance is 1460408544

Bases of 820009008

• Binary: 110000111000000101100000110000₂
• Hexadecimal: 0x30E05830
• Base-36: DK7N00

Squares and roots of 820009008

• 820009008 squared (820009008²) is 672414773201144064
• 820009008 cubed (820009008³) is 551386171137215128385728512
• The square root of 820009008 is 28635.7994126235
• The cube root of 820009008 is 935.9935896997

Scales and comparisons

• 820,009,008 seconds is equal to 26 years, 3 weeks, 5 days, 20 hours, 16 minutes, 48 seconds.
• To count from 1 to 820,009,008 would take you about thirty-nine 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 820009008 cubic inches would be around 78 feet tall.

Recreational maths with 820009008

• 820009008 backwards is 800900028
• 820009008 is a Harshad number.
• The number of decimal digits it has is: 9
• The sum of 820009008's digits is 27
• More coming soon!