72057006
72,057,006 is an even composite number composed of six prime numbers multiplied together.
72057006 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 72057006:
2 × 33 × 7 × 19 × 79 × 127
(2 × 3 × 3 × 3 × 7 × 19 × 79 × 127)See below for interesting mathematical facts about the number 72057006 from the Numbermatics database.
Names of 72057006
- Cardinal: 72057006 can be written as Seventy-two million, fifty-seven thousand and six.
Scientific notation
- Scientific notation: 7.2057006 × 107
Factors of 72057006
Divisors of 72057006
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 79 114 126 127 133 158 171 189 237 254 266 342 378 381 399 474 513 553 711 762 798 889 1026 1106 1143 1197 1422 1501 1659 1778 2133 2286 2394 2413 2667 3002 3318 3429 3591 4266 4503 4826 4977 5334 6858 7182 7239 8001 9006 9954 10033 10507 13509 14478 14931 16002 16891 20066 21014 21717 24003 27018 29862 30099 31521 33782 40527 43434 48006 50673 60198 63042 65151 70231 81054 90297 94563 101346 130302 140462 152019 180594 189126 190627 210693 270891 283689 304038 381254 421386 456057 541782 567378 571881 632079 912114 1143762 1264158 1334389 1715643 1896237 2668778 3431286 3792474 4003167 5146929 8006334 10293858 12009501 24019002 36028503 72057006
- Sum of all divisors σ(n): 196608000
- Sum of proper divisors (its aliquot sum) s(n): 124550994
- 72057006 is an abundant number, because the sum of its proper divisors (124550994) is greater than itself. Its abundance is 52493988
Bases of 72057006
- Binary: 1000100101110000000101011102
- Hexadecimal: 0x44B80AE
- Base-36: 16WFJI
Squares and roots of 72057006
- 72057006 squared (720570062) is 5192212113684036
- 72057006 cubed (720570063) is 374135259429003264156216
-
The
square root of 72057006 is 8488.6398203717 -
The
cube root of 72057006 is 416.1265294045
Scales and comparisons
How big is 72057006?- 72,057,006 seconds is equal to 2 years, 15 weeks, 23 hours, 50 minutes, 6 seconds.
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To count from 1 to 72,057,006 would take you about 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 72057006 cubic inches would be around 34.7 feet tall.
Recreational maths with 72057006
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