427006125
427,006,125 is an odd composite number composed of six prime numbers multiplied together.
427006125 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 427006125:
32 × 53 × 7 × 13 × 43 × 97
(3 × 3 × 5 × 5 × 5 × 7 × 13 × 43 × 97)See below for interesting mathematical facts about the number 427006125 from the Numbermatics database.
Names of 427006125
- Cardinal: 427006125 can be written as Four hundred twenty-seven million, six thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 4.27006125 × 108
Factors of 427006125
Divisors of 427006125
- Number of divisors d(n): 192
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Complete list of divisors:
1 3 5 7 9 13 15 21 25 35 39 43 45 63 65 75 91 97 105 117 125 129 175 195 215 225 273 291 301 315 325 375 387 455 485 525 559 585 645 679 819 873 875 903 975 1075 1125 1261 1365 1455 1505 1575 1625 1677 1935 2037 2275 2425 2625 2709 2795 2925 3225 3395 3783 3913 4095 4171 4365 4515 4875 5031 5375 6111 6305 6825 7275 7525 7875 8385 8827 9675 10185 11349 11375 11739 12125 12513 13545 13975 14625 16125 16975 18915 19565 20475 20855 21825 22575 25155 26481 29197 30555 31525 34125 35217 36375 37539 37625 41925 44135 48375 50925 54223 56745 58695 62565 67725 69875 79443 84875 87591 94575 97825 102375 104275 109125 112875 125775 132405 145985 152775 157625 162669 176085 187695 209625 220675 254625 262773 271115 283725 293475 312825 338625 379561 397215 437955 472875 488007 489125 521375 628875 662025 729925 763875 813345 880425 938475 1103375 1138683 1313865 1355575 1418625 1467375 1564125 1897805 1986075 2189775 2440035 3310125 3416049 3649625 4066725 4402125 4692375 5693415 6569325 6777875 9489025 9930375 10948875 12200175 17080245 20333625 28467075 32846625 47445125 61000875 85401225 142335375 427006125
- Sum of all divisors σ(n): 979410432
- Sum of proper divisors (its aliquot sum) s(n): 552404307
- 427006125 is an abundant number, because the sum of its proper divisors (552404307) is greater than itself. Its abundance is 125398182
Bases of 427006125
- Binary: 110010111001110011000101011012
- Hexadecimal: 0x197398AD
- Base-36: 728819
Squares and roots of 427006125
- 427006125 squared (4270061252) is 182334230787515625
- 427006125 cubed (4270061253) is 77857833343432745408203125
-
The
square root of 427006125 is 20664.1265240029 -
The
cube root of 427006125 is 753.0284217565
Scales and comparisons
How big is 427006125?- 427,006,125 seconds is equal to 13 years, 30 weeks, 4 hours, 48 minutes, 45 seconds.
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To count from 1 to 427,006,125 would take you about twenty 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 427006125 cubic inches would be around 62.8 feet tall.
Recreational maths with 427006125
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