972504225
972,504,225 is an odd composite number composed of four prime numbers multiplied together.
972504225 is an odd composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred forty-three divisors.
Prime factorization of 972504225:
38 × 52 × 72 × 112
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 11 × 11)See below for interesting mathematical facts about the number 972504225 from the Numbermatics database.
Names of 972504225
- Cardinal: 972504225 can be written as Nine hundred seventy-two million, five hundred four thousand, two hundred twenty-five.
Scientific notation
- Scientific notation: 9.72504225 × 108
Factors of 972504225
Divisors of 972504225
- Number of divisors d(n): 243
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Complete list of divisors:
1 3 5 7 9 11 15 21 25 27 33 35 45 49 55 63 75 77 81 99 105 121 135 147 165 175 189 225 231 243 245 275 297 315 363 385 405 441 495 525 539 567 605 675 693 729 735 825 847 891 945 1089 1155 1215 1225 1323 1485 1575 1617 1701 1815 1925 2025 2079 2187 2205 2475 2541 2673 2695 2835 3025 3267 3465 3645 3675 3969 4235 4455 4725 4851 5103 5445 5775 5929 6075 6237 6561 6615 7425 7623 8019 8085 8505 9075 9801 10395 10935 11025 11907 12705 13365 13475 14175 14553 15309 16335 17325 17787 18225 18711 19845 21175 22275 22869 24057 24255 25515 27225 29403 29645 31185 32805 33075 35721 38115 40095 40425 42525 43659 45927 49005 51975 53361 54675 56133 59535 63525 66825 68607 72171 72765 76545 81675 88209 88935 93555 99225 107163 114345 120285 121275 127575 130977 147015 148225 155925 160083 164025 168399 178605 190575 200475 205821 218295 229635 245025 264627 266805 280665 297675 321489 343035 360855 363825 382725 392931 441045 444675 467775 480249 505197 535815 571725 601425 617463 654885 735075 793881 800415 841995 893025 1029105 1091475 1148175 1178793 1323135 1334025 1403325 1440747 1607445 1715175 1804275 1852389 1964655 2205225 2401245 2525985 2679075 3087315 3274425 3536379 3969405 4002075 4209975 4322241 5145525 5557167 5893965 6615675 7203735 8037225 9261945 9823275 12006225 12629925 12966723 15436575 17681895 19847025 21611205 27785835 29469825 36018675 38900169 46309725 64833615 88409475 108056025 138929175 194500845 324168075 972504225
- Sum of all divisors σ(n): 2312743251
- Sum of proper divisors (its aliquot sum) s(n): 1340239026
- 972504225 is an abundant number, because the sum of its proper divisors (1340239026) is greater than itself. Its abundance is 367734801
Bases of 972504225
- Binary: 1110011111011100111100101000012
- Hexadecimal: 0x39F73CA1
- Base-36: G30529
Squares and roots of 972504225
- 972504225 squared (9725042252) is 945764467642850625
- 972504225 cubed (9725042253) is 919759940637548023856390625
-
972504225 is a
perfect square number . Itssquare root is 31185 -
The
cube root of 972504225 is 990.7494325345
Scales and comparisons
How big is 972504225?- 972,504,225 seconds is equal to 30 years, 47 weeks, 6 days, 20 hours, 3 minutes, 45 seconds.
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To count from 1 to 972,504,225 would take you about forty-six 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 972504225 cubic inches would be around 82.6 feet tall.
Recreational maths with 972504225
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