242972730
242,972,730 is an even composite number composed of eight prime numbers multiplied together.
242972730 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 242972730:
2 × 33 × 5 × 7 × 11 × 13 × 29 × 31
(2 × 3 × 3 × 3 × 5 × 7 × 11 × 13 × 29 × 31)See below for interesting mathematical facts about the number 242972730 from the Numbermatics database.
Names of 242972730
- Cardinal: 242972730 can be written as Two hundred forty-two million, nine hundred seventy-two thousand, seven hundred thirty.
Scientific notation
- Scientific notation: 2.4297273 × 108
Factors of 242972730
Divisors of 242972730
- Number of divisors d(n): 512
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Complete list of divisors:
1 2 3 5 6 7 9 10 11 13 14 15 18 21 22 26 27 29 30 31 33 35 39 42 45 54 55 58 62 63 65 66 70 77 78 87 90 91 93 99 105 110 117 126 130 135 143 145 154 155 165 174 182 186 189 195 198 203 210 217 231 234 261 270 273 279 286 290 297 310 315 319 330 341 351 377 378 385 390 403 406 429 434 435 455 462 465 495 522 546 558 585 594 609 630 638 651 682 693 702 715 754 770 783 806 819 837 858 870 899 910 930 945 957 990 1001 1015 1023 1085 1131 1155 1170 1209 1218 1287 1302 1305 1365 1386 1395 1430 1485 1566 1595 1638 1674 1705 1755 1798 1827 1885 1890 1914 1953 2002 2015 2030 2046 2079 2145 2170 2233 2262 2310 2387 2418 2457 2574 2610 2639 2697 2730 2790 2821 2871 2970 3003 3045 3069 3190 3255 3393 3410 3465 3510 3627 3654 3770 3861 3906 3915 4030 4095 4147 4158 4185 4290 4433 4466 4495 4774 4785 4914 5005 5115 5278 5394 5481 5642 5655 5742 5859 6006 6045 6090 6138 6293 6435 6510 6699 6786 6930 7161 7254 7722 7830 7917 8091 8190 8294 8370 8463 8613 8866 8990 9009 9135 9207 9570 9765 9889 10010 10179 10230 10395 10881 10962 11165 11310 11687 11718 11935 12090 12285 12441 12586 12870 13195 13299 13398 13485 14105 14322 14355 15015 15345 15834 16182 16926 16965 17226 18018 18135 18270 18414 18879 19305 19530 19778 20097 20358 20735 20790 21483 21762 22165 22330 23374 23751 23870 24273 24570 24882 25389 26390 26598 26970 27027 27405 28210 28710 29029 29295 29667 30030 30690 31031 31465 33495 33930 35061 35805 36270 37323 37758 38610 39585 39897 40194 40455 41470 42315 42966 43065 44330 45045 46035 47502 48546 49445 50778 50895 54054 54405 54810 56637 58058 58435 58590 59334 60291 62062 62205 62930 64449 66495 66990 69223 70122 71253 71610 74646 76167 79170 79794 80910 81809 84630 86130 87087 89001 90090 92070 93093 94395 98890 100485 101790 105183 107415 108810 111969 113274 116870 118755 119691 120582 121365 124410 126945 128557 128898 132990 135135 138446 142506 145145 148335 152334 155155 163618 169911 174174 175305 178002 186186 186615 188790 199485 200970 207669 210366 214830 223938 237510 239382 242730 245427 253890 257114 261261 267003 270270 279279 283185 290290 296670 301455 310310 315549 322245 339822 346115 350610 356265 373230 380835 385671 398970 409045 415338 435435 445005 465465 490854 522522 525915 534006 558558 559845 566370 598455 602910 623007 631098 642785 644490 692230 712530 736281 761670 771342 783783 818090 837837 849555 870870 890010 899899 930930 1038345 1051830 1119690 1157013 1196910 1227135 1246014 1285570 1306305 1335015 1396395 1472562 1567566 1577745 1675674 1699110 1799798 1869021 1928355 2076690 2208843 2314026 2454270 2612610 2670030 2699697 2792790 3115035 3155490 3471039 3681405 3738042 3856710 3918915 4189185 4417686 4499495 5399394 5785065 6230070 6942078 7362810 7837830 8099091 8378370 8998990 9345105 11044215 11570130 13498485 16198182 17355195 18690210 22088430 24297273 26996970 34710390 40495455 48594546 80990910 121486365 242972730
- Sum of all divisors σ(n): 928972800
- Sum of proper divisors (its aliquot sum) s(n): 686000070
- 242972730 is an abundant number, because the sum of its proper divisors (686000070) is greater than itself. Its abundance is 443027340
Bases of 242972730
- Binary: 11100111101101111000001110102
- Hexadecimal: 0xE7B783A
- Base-36: 40NQYI
Squares and roots of 242972730
- 242972730 squared (2429727302) is 59035747523652900
- 242972730 cubed (2429727303) is 14344076743412684685417000
-
The
square root of 242972730 is 15587.5825579209 -
The
cube root of 242972730 is 624.0018028795
Scales and comparisons
How big is 242972730?- 242,972,730 seconds is equal to 7 years, 37 weeks, 5 days, 4 hours, 25 minutes, 30 seconds.
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To count from 1 to 242,972,730 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 242972730 cubic inches would be around 52 feet tall.
Recreational maths with 242972730
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