242005632
242,005,632 is an even composite number composed of six prime numbers multiplied together.
242005632 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 242005632:
27 × 3 × 11 × 23 × 47 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 23 × 47 × 53)See below for interesting mathematical facts about the number 242005632 from the Numbermatics database.
Names of 242005632
- Cardinal: 242005632 can be written as Two hundred forty-two million, five thousand, six hundred thirty-two.
Scientific notation
- Scientific notation: 2.42005632 × 108
Factors of 242005632
Divisors of 242005632
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 47 48 53 64 66 69 88 92 94 96 106 128 132 138 141 159 176 184 188 192 212 253 264 276 282 318 352 368 376 384 424 506 517 528 552 564 583 636 704 736 752 759 848 1012 1034 1056 1081 1104 1128 1166 1219 1272 1408 1472 1504 1518 1551 1696 1749 2024 2068 2112 2162 2208 2256 2332 2438 2491 2544 2944 3008 3036 3102 3243 3392 3498 3657 4048 4136 4224 4324 4416 4512 4664 4876 4982 5088 6016 6072 6204 6486 6784 6996 7314 7473 8096 8272 8648 8832 9024 9328 9752 9964 10176 11891 12144 12408 12972 13409 13992 14628 14946 16192 16544 17296 18048 18656 19504 19928 20352 23782 24288 24816 25944 26818 27401 27984 29256 29892 32384 33088 34592 35673 37312 39008 39856 40227 47564 48576 49632 51888 53636 54802 55968 57293 58512 59784 66176 69184 71346 74624 78016 79712 80454 82203 95128 97152 99264 103776 107272 109604 111936 114586 117024 119568 138368 142692 156032 159424 160908 164406 171879 190256 198528 207552 214544 219208 223872 229172 234048 239136 285384 318848 321816 328812 343758 380512 415104 429088 438416 458344 468096 478272 570768 630223 643632 657624 687516 761024 858176 876832 916688 956544 1141536 1260446 1287264 1315248 1375032 1522048 1716352 1753664 1833376 1890669 2283072 2520892 2574528 2630496 2750064 3507328 3666752 3781338 4566144 5041784 5149056 5260992 5500128 7333504 7562676 10083568 10521984 11000256 15125352 20167136 22000512 30250704 40334272 60501408 80668544 121002816 242005632
- Sum of all divisors σ(n): 761425920
- Sum of proper divisors (its aliquot sum) s(n): 519420288
- 242005632 is an abundant number, because the sum of its proper divisors (519420288) is greater than itself. Its abundance is 277414656
Bases of 242005632
- Binary: 11100110110010110110100000002
- Hexadecimal: 0xE6CB680
- Base-36: 4030QO
Squares and roots of 242005632
- 242005632 squared (2420056322) is 58566725919719424
- 242005632 cubed (2420056323) is 14173477520372480467795968
-
The
square root of 242005632 is 15556.5302043869 -
The
cube root of 242005632 is 623.1728026721
Scales and comparisons
How big is 242005632?- 242,005,632 seconds is equal to 7 years, 36 weeks, 23 hours, 47 minutes, 12 seconds.
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To count from 1 to 242,005,632 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 242005632 cubic inches would be around 51.9 feet tall.
Recreational maths with 242005632
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