29710485436993504

Names of 29710485436993504

• Cardinal: 29710485436993504 can be written as Twenty-nine quadrillion, seven hundred ten trillion, four hundred eighty-five billion, four hundred thirty-six million, nine hundred ninety-three thousand, five hundred four.

Scientific notation

• Scientific notation: 2.9710485436993504 × 10¹⁶

Factors of 29710485436993504

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 231669

Divisors of 29710485436993504

• Number of divisors d(n): 144
• Complete list of divisors:
  1 2 4 8 11 13 16 22 26 32 44 52 88 104 121 143 176 208 242 286 352 416 484 572 968 1144 1331 1573 1936 2288 2662 3146 3872 4576 5324 6292 10648 12584 17303 21296 25168 34606 42592 50336 69212 138424 231643 276848 463286 553696 926572 1853144 2548073 3011359 3706288 5096146 6022718 7412576 10192292 12045436 20384584 24090872 28028803 33124949 40769168 48181744 56057606 66249898 81538336 96363488 112115212 132499796 224230424 264999592 308316833 364374439 448460848 529999184 616633666 728748878 896921696 1059998368 1233267332 1457497756 2466534664 2914995512 4008118829 4933069328 5829991024 8016237658 9866138656 11659982048 16032475316 32064950632 53658479449 64129901264 107316958898 128259802528 214633917796 429267835592 590243273939 697560232837 858535671184 1180486547878 1395120465674 1717071342368 2360973095756 2790240931348 4721946191512 5580481862696 6492676013329 7673162561207 9443892383024 11160963725392 12985352026658 15346325122414 18887784766048 22321927450784 25970704053316 30692650244828 51941408106632 61385300489656 71419436146619 84404788173277 103882816213264 122770600979312 142838872293238 168809576346554 207765632426528 245541201958624 285677744586476 337619152693108 571355489172952 675238305386216 928452669906047 1142710978345904 1350476610772432 1856905339812094 2285421956691808 2700953221544864 3713810679624188 7427621359248376 14855242718496752 29710485436993504
• Sum of all divisors σ(n): 69286703381414064
• Sum of proper divisors (its aliquot sum) s(n): 39576217944420560
• 29710485436993504 is an abundant number, because the sum of its proper divisors (39576217944420560) is greater than itself. Its abundance is 9865732507427056

Bases of 29710485436993504

• Binary: 1101001100011011000011101110010100100111000111111100000₂
• Hexadecimal: 0x698D8772938FE0
• Base-36: 84JHKL36MSG

Squares and roots of 29710485436993504

• 29710485436993504 squared (29710485436993504²) is 882712944901803082342202538198016
• 29710485436993504 cubed (29710485436993504³) is 26225830094550669769679638248813695642604857688064
• The square root of 29710485436993504 is 172367298.0498142635
• The cube root of 29710485436993504 is 309720.4744839957

Scales and comparisons

• 29,710,485,436,993,504 seconds is equal to 944,701,536 years, 17 weeks, 1 day, 11 hours, 5 minutes, 4 seconds.
• To count from 1 to 29,710,485,436,993,504 would take you about two billion, eight hundred thirty-four million, one hundred four thousand, six hundred eight 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 29710485436993504 cubic inches would be around 25810 feet tall.

Recreational maths with 29710485436993504

• 29710485436993504 backwards is 40539963458401792
• The number of decimal digits it has is: 17
• The sum of 29710485436993504's digits is 79
• More coming soon!