242258940
242,258,940 is an even composite number composed of six prime numbers multiplied together.
242258940 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty-four divisors.
Prime factorization of 242258940:
22 × 32 × 5 × 72 × 112 × 227
(2 × 2 × 3 × 3 × 5 × 7 × 7 × 11 × 11 × 227)See below for interesting mathematical facts about the number 242258940 from the Numbermatics database.
Names of 242258940
- Cardinal: 242258940 can be written as Two hundred forty-two million, two hundred fifty-eight thousand, nine hundred forty.
Scientific notation
- Scientific notation: 2.4225894 × 108
Factors of 242258940
Divisors of 242258940
- Number of divisors d(n): 324
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Complete list of divisors:
1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 49 55 60 63 66 70 77 84 90 98 99 105 110 121 126 132 140 147 154 165 180 196 198 210 220 227 231 242 245 252 294 308 315 330 363 385 396 420 441 454 462 484 490 495 539 588 605 630 660 681 693 726 735 770 847 882 908 924 980 990 1078 1089 1135 1155 1210 1260 1362 1386 1452 1470 1540 1589 1617 1694 1764 1815 1980 2043 2156 2178 2205 2270 2310 2420 2497 2541 2695 2724 2772 2940 3178 3234 3388 3405 3465 3630 4086 4235 4356 4410 4540 4620 4767 4851 4994 5082 5390 5445 5929 6356 6468 6810 6930 7260 7491 7623 7945 8085 8172 8470 8820 9534 9702 9988 10164 10215 10780 10890 11123 11858 12485 12705 13620 13860 14301 14982 15246 15890 16170 16940 17479 17787 19068 19404 20430 21780 22246 22473 23716 23835 24255 24970 25410 27467 28602 29645 29964 30492 31780 32340 33369 34958 35574 37455 38115 40860 44492 44946 47670 48510 49940 50820 52437 53361 54934 55615 57204 59290 66738 69916 71148 71505 74910 76230 82401 87395 88935 89892 95340 97020 100107 104874 106722 109868 111230 112365 118580 122353 133476 137335 143010 149820 152460 157311 164802 166845 174790 177870 192269 200214 209748 213444 222460 224730 244706 247203 262185 266805 274670 286020 314622 329604 333690 349580 355740 367059 384538 400428 412005 449460 489412 494406 500535 524370 533610 549340 576807 611765 629244 667380 734118 769076 786555 824010 961345 988812 1001070 1048740 1067220 1101177 1153614 1223530 1236015 1345883 1468236 1573110 1648020 1730421 1835295 1922690 2002140 2202354 2307228 2447060 2472030 2691766 2884035 3146220 3460842 3670590 3845380 4037649 4404708 4944060 5383532 5505885 5768070 6729415 6921684 7341180 8075298 8652105 11011770 11536140 12112947 13458830 16150596 17304210 20188245 22023540 24225894 26917660 34608420 40376490 48451788 60564735 80752980 121129470 242258940
- Sum of all divisors σ(n): 943743528
- Sum of proper divisors (its aliquot sum) s(n): 701484588
- 242258940 is an abundant number, because the sum of its proper divisors (701484588) is greater than itself. Its abundance is 459225648
Bases of 242258940
- Binary: 11100111000010010011111111002
- Hexadecimal: 0xE7093FC
- Base-36: 408G70
Squares and roots of 242258940
- 242258940 squared (2422589402) is 58689394009923600
- 242258940 cubed (2422589403) is 14218030382086440816984000
-
The
square root of 242258940 is 15564.6696078009 -
The
cube root of 242258940 is 623.3901524523
Scales and comparisons
How big is 242258940?- 242,258,940 seconds is equal to 7 years, 36 weeks, 3 days, 22 hours, 9 minutes.
-
To count from 1 to 242,258,940 would take you about eleven 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 242258940 cubic inches would be around 51.9 feet tall.
Recreational maths with 242258940
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