242542080
242,542,080 is an even composite number composed of five prime numbers multiplied together.
242542080 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 242542080:
29 × 33 × 5 × 112 × 29
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 11 × 29)See below for interesting mathematical facts about the number 242542080 from the Numbermatics database.
Names of 242542080
- Cardinal: 242542080 can be written as Two hundred forty-two million, five hundred forty-two thousand and eighty.
Scientific notation
- Scientific notation: 2.4254208 × 108
Factors of 242542080
Divisors of 242542080
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 29 30 32 33 36 40 44 45 48 54 55 58 60 64 66 72 80 87 88 90 96 99 108 110 116 120 121 128 132 135 144 145 160 165 174 176 180 192 198 216 220 232 240 242 256 261 264 270 288 290 297 319 320 330 348 352 360 363 384 396 432 435 440 464 480 484 495 512 522 528 540 576 580 594 605 638 640 660 696 704 720 726 768 783 792 864 870 880 928 957 960 968 990 1044 1056 1080 1089 1152 1160 1188 1210 1276 1280 1305 1320 1392 1408 1440 1452 1485 1536 1566 1584 1595 1728 1740 1760 1815 1856 1914 1920 1936 1980 2088 2112 2160 2178 2304 2320 2376 2420 2552 2560 2610 2640 2784 2816 2871 2880 2904 2970 3132 3168 3190 3267 3456 3480 3509 3520 3630 3712 3828 3840 3872 3915 3960 4176 4224 4320 4356 4608 4640 4752 4785 4840 5104 5220 5280 5445 5568 5632 5742 5760 5808 5940 6264 6336 6380 6534 6912 6960 7018 7040 7260 7424 7656 7680 7744 7830 7920 8352 8448 8613 8640 8712 9280 9504 9570 9680 10208 10440 10527 10560 10890 11136 11484 11520 11616 11880 12528 12672 12760 13068 13824 13920 14036 14080 14355 14520 14848 15312 15488 15660 15840 16335 16704 16896 17226 17280 17424 17545 18560 19008 19140 19360 20416 20880 21054 21120 21780 22272 22968 23040 23232 23760 25056 25344 25520 26136 27840 28072 28160 28710 29040 30624 30976 31320 31581 31680 32670 33408 34452 34560 34848 35090 37120 38016 38280 38720 40832 41760 42108 42240 43065 43560 44544 45936 46464 47520 50112 50688 51040 52272 52635 55680 56144 57420 58080 61248 61952 62640 63162 63360 65340 66816 68904 69120 69696 70180 74240 76032 76560 77440 81664 83520 84216 84480 86130 87120 91872 92928 94743 95040 100224 102080 104544 105270 111360 112288 114840 116160 122496 125280 126324 126720 130680 133632 137808 139392 140360 152064 153120 154880 157905 163328 167040 168432 172260 174240 183744 185856 189486 190080 200448 204160 209088 210540 222720 224576 229680 232320 244992 250560 252648 253440 261360 275616 278784 280720 306240 309760 315810 334080 336864 344520 348480 367488 378972 380160 400896 408320 418176 421080 449152 459360 464640 473715 489984 501120 505296 522720 551232 557568 561440 612480 631620 668160 673728 689040 696960 734976 757944 760320 816640 836352 842160 898304 918720 929280 947430 1002240 1010592 1045440 1102464 1122880 1224960 1263240 1347456 1378080 1393920 1469952 1515888 1672704 1684320 1796608 1837440 1894860 2004480 2021184 2090880 2204928 2245760 2449920 2526480 2694912 2756160 2787840 3031776 3368640 3674880 3789720 4042368 4181760 4409856 4491520 5052960 5389824 5512320 6063552 6737280 7349760 7579440 8084736 8363520 8983040 10105920 11024640 12127104 13474560 15158880 16169472 20211840 22049280 24254208 26949120 30317760 40423680 48508416 60635520 80847360 121271040 242542080
- Sum of all divisors σ(n): 979624800
- Sum of proper divisors (its aliquot sum) s(n): 737082720
- 242542080 is an abundant number, because the sum of its proper divisors (737082720) is greater than itself. Its abundance is 494540640
Bases of 242542080
- Binary: 11100111010011100110000000002
- Hexadecimal: 0xE74E600
- Base-36: 40EIO0
Squares and roots of 242542080
- 242542080 squared (2425420802) is 58826660570726400
- 242542080 cubed (2425420803) is 14267940614277968166912000
-
The
square root of 242542080 is 15573.7625511627 -
The
cube root of 242542080 is 623.6329201953
Scales and comparisons
How big is 242542080?- 242,542,080 seconds is equal to 7 years, 37 weeks, 4 hours, 48 minutes.
-
To count from 1 to 242,542,080 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 242542080 cubic inches would be around 52 feet tall.
Recreational maths with 242542080
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