820117116

Names of 820117116

• Cardinal: 820117116 can be written as Eight hundred twenty million, one hundred seventeen thousand, one hundred sixteen.

Scientific notation

• Scientific notation: 8.20117116 × 10⁸

Factors of 820117116

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 156

Divisors of 820117116

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 49 52 54 63 78 84 91 98 108 117 126 131 147 156 169 182 189 196 234 252 262 273 294 338 343 351 364 378 393 441 468 507 524 546 588 637 676 686 702 756 786 819 882 917 1014 1029 1092 1179 1183 1274 1323 1372 1404 1521 1572 1638 1703 1764 1834 1911 2028 2058 2358 2366 2457 2548 2646 2751 3042 3087 3276 3406 3537 3549 3668 3822 4116 4459 4563 4716 4732 4914 5109 5292 5502 5733 6084 6174 6419 6812 7074 7098 7644 8253 8281 8918 9126 9261 9828 10218 10647 11004 11466 11921 12348 12838 13377 14148 14196 15327 16506 16562 17199 17836 18252 18522 19257 20436 21294 22139 22932 23842 24759 24843 25676 26754 30654 31941 33012 33124 34398 35763 37044 38514 40131 42588 44278 44933 45981 47684 49518 49686 53508 57771 57967 61308 63882 66417 68796 71526 74529 77028 80262 83447 88556 89866 91962 99036 99372 107289 115542 115934 120393 127764 132834 134799 143052 149058 154973 160524 166894 173313 173901 179732 183924 199251 214578 223587 231084 231868 240786 250341 265668 269598 298116 309946 321867 333788 346626 347802 398502 404397 429156 447174 464919 481572 500682 521703 539196 584129 597753 619892 643734 693252 695604 751023 797004 808794 894348 929838 1001364 1043406 1084811 1168258 1195506 1213191 1287468 1394757 1502046 1565109 1617588 1752387 1859676 2086812 2169622 2253069 2336516 2391012 2426382 2789514 3004092 3130218 3254433 3504774 4184271 4339244 4506138 4852764 5257161 5579028 6260436 6508866 7009548 7593677 8368542 9012276 9763299 10514322 13017732 15187354 15771483 16737084 19526598 21028644 22781031 29289897 30374708 31542966 39053196 45562062 58579794 63085932 68343093 91124124 117159588 136686186 205029279 273372372 410058558 820117116
• Sum of all divisors σ(n): 2705472000
• Sum of proper divisors (its aliquot sum) s(n): 1885354884
• 820117116 is an abundant number, because the sum of its proper divisors (1885354884) is greater than itself. Its abundance is 1065237768

Bases of 820117116

• Binary: 110000111000011111111001111100₂
• Hexadecimal: 0x30E1FE7C
• Base-36: DK9YF0

Squares and roots of 820117116

• 820117116 squared (820117116²) is 672592083956157456
• 820117116 cubed (820117116³) is 551604280138553723256616896
• The square root of 820117116 is 28637.6869876043
• The cube root of 820117116 is 936.0347209343

Scales and comparisons

• 820,117,116 seconds is equal to 26 years, 4 weeks, 2 hours, 18 minutes, 36 seconds.
• To count from 1 to 820,117,116 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 820117116 cubic inches would be around 78 feet tall.

Recreational maths with 820117116

• 820117116 backwards is 611711028
• 820117116 is a Harshad number.
• The number of decimal digits it has is: 9
• The sum of 820117116's digits is 27
• More coming soon!