642972120
642,972,120 is an even composite number composed of six prime numbers multiplied together.
What does the number 642972120 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 192 divisors.
642972120 is an even 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 642972120:
23 × 3 × 5 × 72 × 43 × 2543
(2 × 2 × 2 × 3 × 5 × 7 × 7 × 43 × 2543)See below for interesting mathematical facts about the number 642972120 from the Numbermatics database.
Names of 642972120
- Cardinal: 642972120 can be written as Six hundred forty-two million, nine hundred seventy-two thousand, one hundred twenty.
Scientific notation
- Scientific notation: 6.4297212 × 108
Factors of 642972120
Divisors of 642972120
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 43 49 56 60 70 84 86 98 105 120 129 140 147 168 172 196 210 215 245 258 280 294 301 344 392 420 430 490 516 588 602 645 735 840 860 903 980 1032 1176 1204 1290 1470 1505 1720 1806 1960 2107 2408 2543 2580 2940 3010 3612 4214 4515 5086 5160 5880 6020 6321 7224 7629 8428 9030 10172 10535 12040 12642 12715 15258 16856 17801 18060 20344 21070 25284 25430 30516 31605 35602 36120 38145 42140 50568 50860 53403 61032 63210 71204 76290 84280 89005 101720 106806 109349 124607 126420 142408 152580 178010 213612 218698 249214 252840 267015 305160 328047 356020 373821 427224 437396 498428 534030 546745 623035 656094 712040 747642 765443 874792 996856 1068060 1093490 1246070 1312188 1495284 1530886 1640235 1869105 2136120 2186980 2296329 2492140 2624376 2990568 3061772 3280470 3738210 3827215 4373960 4592658 4984280 5358101 6123544 6560940 7476420 7654430 9185316 10716202 11481645 13121880 14952840 15308860 16074303 18370632 21432404 22963290 26790505 30617720 32148606 42864808 45926580 53581010 64297212 80371515 91853160 107162020 128594424 160743030 214324040 321486060 642972120
- Sum of all divisors σ(n): 2296926720
- Sum of proper divisors (its aliquot sum) s(n): 1653954600
- 642972120 is an abundant number, because the sum of its proper divisors (1653954600) is greater than itself. Its abundance is 1010982480
Bases of 642972120
- Binary: 1001100101001011111001110110002
- Hexadecimal: 0x2652F9D8
- Base-36: AMT4GO
Squares and roots of 642972120
- 642972120 squared (6429721202) is 413413147097294400
- 642972120 cubed (6429721203) is 265813127625019226632128000
-
The
square root of 642972120 is 25356.8949203171 -
The
cube root of 642972120 is 863.1058243137
Scales and comparisons
How big is 642972120?- 642,972,120 seconds is equal to 20 years, 23 weeks, 19 hours, 22 minutes.
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To count from 1 to 642,972,120 would take you about thirty 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 642972120 cubic inches would be around 71.9 feet tall.
Recreational maths with 642972120
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