105137531901975744

Names of 105137531901975744

• Cardinal: 105137531901975744 can be written as One hundred five quadrillion, one hundred thirty-seven trillion, five hundred thirty-one billion, nine hundred one million, nine hundred seventy-five thousand, seven hundred forty-four.

Scientific notation

• Scientific notation: 1.05137531901975744 × 10¹⁷

Factors of 105137531901975744

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 49571129

Divisors of 105137531901975744

• Number of divisors d(n): 84
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 4005917 8011834 12017751 16023668 24035502 32047336 36053253 45565207 48071004 64094672 72106506 91130414 96142008 128189344 136695621 144213012 182260828 192284016 256378688 273391242 288426024 364521656 384568032 410086863 546782484 576852048 729043312 769136064 820173726 1093564968 1153704096 1458086624 1640347452 2187129936 2307408192 2916173248 3280694904 4374259872 6561389808 8748519744 13122779616 26245559232 182530437329819 365060874659638 547591311989457 730121749319276 1095182623978914 1460243498638552 1642773935968371 2190365247957828 2920486997277104 3285547871936742 4380730495915656 5840973994554208 6571095743873484 8761460991831312 11681947989108416 13142191487746968 17522921983662624 26284382975493936 35045843967325248 52568765950987872 105137531901975744
• Sum of all divisors σ(n): 301357833873458544
• Sum of proper divisors (its aliquot sum) s(n): 196220301971482800
• 105137531901975744 is an abundant number, because the sum of its proper divisors (196220301971482800) is greater than itself. Its abundance is 91082770069507056

Bases of 105137531901975744

• Binary: 101110101100001100000011100111001100101000001110011000000₂
• Hexadecimal: 0x175860739941CC0
• Base-36: SR857DFT0W0

Squares and roots of 105137531901975744

• 105137531901975744 squared (105137531901975744²) is 11053900614438967305656370764353536
• 105137531901975744 cubed (105137531901975744³) is 1162179828491846203517077834695794014677245312630784
• The square root of 105137531901975744 is 324249181.8061777993
• The cube root of 105137531901975744 is 471975.2870301815

Scales and comparisons

• 105,137,531,901,975,744 seconds is equal to 3,343,048,302 years, 38 weeks, 4 days, 19 hours, 2 minutes, 24 seconds.
• To count from 1 to 105,137,531,901,975,744 would take you about ten billion, twenty-nine million, one hundred forty-four thousand, nine 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 105137531901975744 cubic inches would be around 39331.3 feet tall.

Recreational maths with 105137531901975744

• 105137531901975744 backwards is 447579109135731501
• 105137531901975744 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 105137531901975744's digits is 72
• More coming soon!