472985128
472,985,128 is an even composite number composed of five prime numbers multiplied together.
472985128 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 472985128:
23 × 7 × 112 × 292 × 83
(2 × 2 × 2 × 7 × 11 × 11 × 29 × 29 × 83)See below for interesting mathematical facts about the number 472985128 from the Numbermatics database.
Names of 472985128
- Cardinal: 472985128 can be written as Four hundred seventy-two million, nine hundred eighty-five thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 4.72985128 × 108
Factors of 472985128
Divisors of 472985128
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 7 8 11 14 22 28 29 44 56 58 77 83 88 116 121 154 166 203 232 242 308 319 332 406 484 581 616 638 664 812 841 847 913 968 1162 1276 1624 1682 1694 1826 2233 2324 2407 2552 3364 3388 3509 3652 4466 4648 4814 5887 6391 6728 6776 7018 7304 8932 9251 9628 10043 11774 12782 14036 16849 17864 18502 19256 20086 23548 24563 25564 26477 28072 33698 37004 40172 47096 49126 51128 52954 64757 67396 69803 70301 74008 80344 98252 101761 105908 129514 134792 139606 140602 185339 196504 203522 211816 259028 279212 281204 291247 370678 407044 488621 518056 558424 562408 582494 712327 741356 767833 814088 977242 1164988 1424654 1482712 1535666 1954484 2038729 2329976 2849308 3071332 3908968 4077458 5374831 5698616 6142664 8154916 8446163 10749662 16309832 16892326 21499324 33784652 42998648 59123141 67569304 118246282 236492564 472985128
- Sum of all divisors σ(n): 1167697440
- Sum of proper divisors (its aliquot sum) s(n): 694712312
- 472985128 is an abundant number, because the sum of its proper divisors (694712312) is greater than itself. Its abundance is 221727184
Bases of 472985128
- Binary: 111000011000100101110001010002
- Hexadecimal: 0x1C312E28
- Base-36: 7TLPNS
Squares and roots of 472985128
- 472985128 squared (4729851282) is 223714931309176384
- 472985128 cubed (4729851283) is 105813835420781999560817152
-
The
square root of 472985128 is 21748.2212605997 -
The
cube root of 472985128 is 779.1405875163
Scales and comparisons
How big is 472985128?- 472,985,128 seconds is equal to 15 years, 2 weeks, 8 hours, 45 minutes, 28 seconds.
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To count from 1 to 472,985,128 would take you about twenty-two 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 472985128 cubic inches would be around 64.9 feet tall.
Recreational maths with 472985128
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