820999904980801

Names of 820999904980801

• Cardinal: 820999904980801 can be written as Eight hundred twenty trillion, nine hundred ninety-nine billion, nine hundred four million, nine hundred eighty thousand, eight hundred one.

Scientific notation

• Scientific notation: 8.20999904980801 × 10¹⁴

Factors of 820999904980801

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 80

Divisors of 820999904980801

• Number of divisors d(n): 144
• Complete list of divisors:
  1 7 13 19 41 49 91 133 247 287 343 533 637 779 931 1681 1729 2009 2401 3731 4459 5453 6517 10127 11767 12103 14063 16807 21853 26117 31213 31939 38171 45619 70889 82369 84721 98441 117649 152971 182819 218491 223573 267197 319333 415207 496223 576583 593047 689087 823543 1070797 1279733 1529437 1565011 1870379 2235331 2906449 3473561 4036081 4151329 4823609 5764801 7495579 8958131 10706059 10955077 13092653 15647317 20345143 24314927 28252567 29059303 33765263 40353607 52469053 62706917 74942413 76685539 91648571 109531219 142416001 170204489 197767969 203415121 236356841 282475249 367283371 438948419 524596891 536798773 641539997 766718533 996912007 1191431423 1384375783 1423905847 1654497887 1977326743 2570983597 3072638933 3672178237 3757591411 4490779979 5367029731 6978384049 8340019961 9690630481 9967340929 11581485209 17996885179 21508472531 25705247659 26303139877 31435459853 37569208117 48848688343 58380139727 67834413367 69771386503 81070396463 125978196253 150559307717 184121979139 220048218971 341940818401 408660978089 474840893569 488399705521 881847373771 1053915154019 1288853853973 1540337532797 2393585728807 2860626846623 3323886254983 6172931616397 9021976977811 16755100101649 20024387926361 43210521314779 63153838844677 117285700711543 820999904980801
• Sum of all divisors σ(n): 1112931766128000
• Sum of proper divisors (its aliquot sum) s(n): 291931861147199
• 820999904980801 is a deficient number, because the sum of its proper divisors (291931861147199) is less than itself. Its deficiency is 529068043833602

Bases of 820999904980801

• Binary: 10111010101011000111101111101100100110111101000001₂
• Hexadecimal: 0x2EAB1EFB26F41
• Base-36: 830Q5DU3PD

Squares and roots of 820999904980801

• 820999904980801 squared (820999904980801²) is 674040843978484270648178601601
• 820999904980801 cubed (820999904980801³) is 553387468859514498082606000825279466932862401
• The square root of 820999904980801 is 28653095.9056923027
• The cube root of 820999904980801 is 93637.0455432519

Scales and comparisons

• 820,999,904,980,801 seconds is equal to 26,105,257 years, 23 weeks, 6 days, 1 hour, 20 minutes, 1 second.
• To count from 1 to 820,999,904,980,801 would take you about sixty-five million, two hundred sixty-three thousand, one hundred forty-three 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 820999904980801 cubic inches would be around 7803.1 feet tall.

Recreational maths with 820999904980801

• 820999904980801 backwards is 108089409999028
• The number of decimal digits it has is: 15
• The sum of 820999904980801's digits is 76
• More coming soon!