146307006972

Names of 146307006972

• Cardinal: 146307006972 can be written as One hundred forty-six billion, three hundred seven million, six thousand, nine hundred seventy-two.

Scientific notation

• Scientific notation: 1.46307006972 × 10¹¹

Factors of 146307006972

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 12825

Divisors of 146307006972

• Number of divisors d(n): 192
• Complete list of divisors:
  1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 84 108 114 126 133 171 189 228 252 266 342 378 399 513 532 684 756 798 853 1026 1197 1596 1706 2052 2394 2559 3412 3591 4788 5118 5971 7182 7677 10236 11941 11942 14364 15354 16207 17913 23031 23882 23884 30708 32414 35823 35826 46062 47764 48621 53739 64828 71646 71652 83587 92124 97242 107469 107478 113449 143292 145863 161217 167174 194484 214938 214956 226879 226898 250761 291726 322407 322434 334348 340347 429876 437589 453758 453796 501522 583452 644814 644868 680637 680694 752283 875178 907516 1003044 1021041 1289628 1361274 1361388 1504566 1588153 1750356 2041911 2042082 2256849 2722548 3009132 3063123 3176306 4083822 4084164 4513698 4764459 6125733 6126246 6352612 8167644 9027396 9528918 10185673 12251466 12252492 14293377 19057836 20371346 24502932 28586754 30557019 40742692 42880131 57173508 61114038 71299711 85760262 91671057 122228076 142599422 171520524 183342114 193527787 213899133 275013171 285198844 366684228 387055574 427798266 550026342 580583361 641697399 774111148 855596532 1100052684 1161166722 1283394798 1354694509 1741750083 1925092197 2322333444 2566789596 2709389018 3483500166 3850184394 4064083527 5225250249 5418778036 6967000332 7700368788 8128167054 10450500498 12192250581 16256334108 20901000996 24384501162 36576751743 48769002324 73153503486 146307006972
• Sum of all divisors σ(n): 456891366400
• Sum of proper divisors (its aliquot sum) s(n): 310584359428
• 146307006972 is an abundant number, because the sum of its proper divisors (310584359428) is greater than itself. Its abundance is 164277352456

Bases of 146307006972

• Binary: 10001000010000100100111100000111111100₂
• Hexadecimal: 0x221093C1FC
• Base-36: 1V7NEX30

Squares and roots of 146307006972

• 146307006972 squared (146307006972²) is 21405740289104856608784
• 146307006972 cubed (146307006972³) is 3131809793718885551500420964442048
• The square root of 146307006972 is 382500.9895046025
• The cube root of 146307006972 is 5269.3256829913

Scales and comparisons

• 146,307,006,972 seconds is equal to 4,652 years, 5 weeks, 5 days, 3 hours, 16 minutes, 12 seconds.
• To count from 1 to 146,307,006,972 would take you about nine thousand, three hundred four 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 146307006972 cubic inches would be around 439.1 feet tall.

Recreational maths with 146307006972

• 146307006972 backwards is 279600703641
• The number of decimal digits it has is: 12
• The sum of 146307006972's digits is 45
• More coming soon!