242807338200
242,807,338,200 is an even composite number composed of six prime numbers multiplied together.
242807338200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 242807338200:
23 × 3 × 52 × 72 × 173 × 412
(2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 17 × 17 × 17 × 41 × 41)See below for interesting mathematical facts about the number 242807338200 from the Numbermatics database.
Names of 242807338200
- Cardinal: 242807338200 can be written as Two hundred forty-two billion, eight hundred seven million, three hundred thirty-eight thousand, two hundred.
Scientific notation
- Scientific notation: 2.428073382 × 1011
Factors of 242807338200
Divisors of 242807338200
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 25 28 30 34 35 40 41 42 49 50 51 56 60 68 70 75 82 84 85 98 100 102 105 119 120 123 136 140 147 150 164 168 170 175 196 200 204 205 210 238 245 246 255 280 287 289 294 300 328 340 350 357 392 408 410 420 425 476 490 492 510 525 574 578 588 595 600 615 680 697 700 714 735 820 833 840 850 861 867 952 980 984 1020 1025 1050 1148 1156 1176 1190 1225 1230 1275 1394 1400 1428 1435 1445 1470 1640 1666 1681 1700 1722 1734 1785 1960 2009 2023 2040 2050 2091 2100 2296 2312 2380 2450 2460 2499 2550 2788 2856 2870 2890 2940 2975 3075 3332 3362 3400 3444 3468 3485 3570 3675 4018 4046 4100 4165 4182 4200 4305 4335 4760 4879 4900 4913 4920 4998 5043 5100 5576 5740 5780 5880 5950 6027 6069 6150 6664 6724 6888 6936 6970 7140 7175 7225 7350 8036 8092 8200 8330 8364 8405 8610 8670 8925 9758 9800 9826 9996 10045 10086 10115 10200 10455 11480 11560 11767 11849 11900 12054 12138 12300 12495 13448 13940 14161 14280 14350 14450 14637 14700 14739 16072 16184 16660 16728 16810 17220 17340 17425 17850 19516 19652 19992 20090 20172 20230 20825 20910 21525 21675 23534 23698 23800 24108 24276 24395 24565 24600 24990 25215 27880 28322 28577 28700 28900 29274 29400 29478 30135 30345 33320 33620 34153 34391 34440 34680 34850 35301 35547 35700 39032 39304 40180 40344 40460 41650 41820 42025 42483 43050 43350 47068 47396 48216 48552 48790 49130 49980 50225 50430 50575 52275 56644 57154 57400 57800 58548 58835 58956 59245 60270 60690 62475 67240 68306 68782 69700 70602 70805 71094 71400 73185 73695 80360 80920 82369 82943 83300 83640 84050 84966 85731 86100 86700 94136 94792 97580 98260 99960 100450 100860 101150 102459 103173 104550 113288 114308 117096 117670 117912 118490 120540 121380 121975 122825 124950 126075 136612 137564 139400 141204 141610 142188 142885 146370 147390 150675 151725 164738 165886 166600 168100 169932 170765 171462 171955 172200 173400 176505 177735 195160 196520 200039 200900 201433 201720 202300 204918 206346 209100 212415 228616 235340 236980 240737 241080 242760 243950 245650 247107 248829 249900 252150 273224 275128 282408 283220 284376 285770 292740 294175 294780 296225 301350 303450 329476 331772 336200 339864 341530 342924 343910 353010 354025 355470 365925 368475 400078 401800 402866 404600 409836 411845 412692 414715 418200 424830 428655 470680 473960 481474 485809 487900 491300 494214 497658 499800 504300 512295 515865 566440 571540 580601 585480 588350 589560 592450 600117 602700 604299 606900 658952 663544 683060 685848 687820 706020 708050 710940 714425 722211 731850 736950 800156 805732 819672 823690 825384 829430 849660 853825 857310 859775 882525 888675 962948 971618 975800 982600 988428 995316 1000195 1007165 1008600 1024590 1031730 1062075 1143080 1161202 1176700 1184900 1200234 1203685 1205400 1208598 1213800 1235535 1244145 1366120 1375640 1400273 1410031 1412040 1416100 1421880 1428850 1444422 1457427 1463700 1473900 1600312 1611464 1647380 1658860 1699320 1707650 1714620 1719550 1741803 1765050 1777350 1925896 1943236 1976856 1990632 2000390 2014330 2049180 2059225 2063460 2073575 2124150 2143275 2322404 2353400 2369800 2400468 2407370 2417196 2429045 2471070 2488290 2561475 2579325 2800546 2820062 2832200 2857700 2888844 2903005 2914854 2927400 2947800 3000585 3021495 3294760 3317720 3400663 3415300 3429240 3439100 3483606 3530100 3554700 3611055 3886472 4000780 4028660 4098360 4118450 4126920 4147150 4200819 4230093 4248300 4286550 4644808 4800936 4814740 4834392 4858090 4942140 4976580 5000975 5035825 5122950 5158650 5601092 5640124 5715400 5777688 5806010 5829708 6001170 6018425 6042990 6177675 6220725 6801326 6830600 6878200 6967212 7001365 7050155 7060200 7109400 7222110 7287135 8001560 8057320 8236900 8258753 8294300 8401638 8460186 8496600 8573100 8709015 9629480 9716180 9870217 9884280 9953160 10001950 10071650 10201989 10245900 10317300 11202184 11280248 11612020 11659416 12002340 12036850 12085980 12145225 12355350 12441450 13602652 13934424 14002730 14100310 14444220 14515025 14574270 15002925 15107475 16473800 16517506 16588600 16803276 16920372 17003315 17146200 17418030 18055275 19432360 19740434 20003900 20143300 20403978 20491800 20634600 21004095 21150465 23224040 23804641 24004680 24073700 24171960 24290450 24710700 24776259 24882900 27205304 28005460 28200620 28888440 29030050 29148540 29610651 30005850 30214950 33035012 33606552 33840744 34006630 34836060 35006825 35250775 36110550 36435675 39480868 40007800 40286600 40807956 41293765 42008190 42300930 43545075 47609282 48147400 48580900 49351085 49421400 49552518 49765800 51009945 56010920 56401240 57811271 58060100 58297080 59221302 60011700 60429900 66070024 68013260 69672120 70013650 70501550 71413923 72221100 72871350 78961736 81615912 82587530 84016380 84601860 85016575 87090150 95218564 97161800 98702170 99105036 102019890 105020475 105752325 115622542 116120200 118442604 119023205 120023400 120859800 123881295 136026520 140027300 141003100 142827846 144442200 145742700 148053255 165175060 168032760 169203720 170033150 173433813 174180300 190437128 197404340 198210072 204039780 206468825 210040950 211504650 231245084 236885208 238046410 246755425 247762590 255049725 280054600 282006200 285655692 289056355 291485400 296106510 330350120 340066300 346867626 348360600 357069615 394808680 404678897 408079560 412937650 420081900 423009300 462490168 476092820 493510850 495525180 510099450 571311384 578112710 592213020 595116025 619406475 680132600 693735252 714139230 740266275 809357794 825875300 840163800 846018600 867169065 952185640 987021700 991050360 1020198900 1156225420 1184426040 1190232050 1214036691 1238812950 1387470504 1428278460 1445281775 1480532550 1618715588 1651750600 1734338130 1785348075 1974043400 2023394485 2040397800 2312450840 2380464100 2428073382 2477625900 2856556920 2890563550 2961065100 3237431176 3468676260 3570696150 4046788970 4335845325 4760928200 4856146764 4955251800 5781127100 5922130200 6070183455 6937352520 7141392300 8093577940 8671690650 9712293528 10116972425 11562254200 12140366910 14282784600 16187155880 17343381300 20233944850 24280733820 30350917275 34686762600 40467889700 48561467640 60701834550 80935779400 121403669100 242807338200
- Sum of all divisors σ(n): 953550241200
- Sum of proper divisors (its aliquot sum) s(n): 710742903000
- 242807338200 is an abundant number, because the sum of its proper divisors (710742903000) is greater than itself. Its abundance is 467935564800
Bases of 242807338200
- Binary: 111000100010000111000111110100110110002
- Hexadecimal: 0x388871F4D8
- Base-36: 33JL7X7C
Squares and roots of 242807338200
- 242807338200 squared (2428073382002) is 58955403483769179240000
- 242807338200 cubed (2428073382003) is 14314804592401001314463098968000000
-
The
square root of 242807338200 is 492754.8459426857 -
The
cube root of 242807338200 is 6238.6018450733
Scales and comparisons
How big is 242807338200?- 242,807,338,200 seconds is equal to 7,720 years, 27 weeks, 1 day, 2 hours, 50 minutes.
-
To count from 1 to 242,807,338,200 would take you about fifteen thousand, four hundred forty-one 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 242807338200 cubic inches would be around 519.9 feet tall.
Recreational maths with 242807338200
- 242807338200 backwards is 002833708242
- The number of decimal digits it has is: 12
- The sum of 242807338200's digits is 39
- More coming soon!
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