242107200
242,107,200 is an even composite number composed of six prime numbers multiplied together.
242107200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 242107200:
26 × 32 × 52 × 17 × 23 × 43
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 17 × 23 × 43)See below for interesting mathematical facts about the number 242107200 from the Numbermatics database.
Names of 242107200
- Cardinal: 242107200 can be written as Two hundred forty-two million, one hundred seven thousand, two hundred.
Scientific notation
- Scientific notation: 2.421072 × 108
Factors of 242107200
Divisors of 242107200
- Number of divisors d(n): 504
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 23 24 25 30 32 34 36 40 43 45 46 48 50 51 60 64 68 69 72 75 80 85 86 90 92 96 100 102 115 120 129 136 138 144 150 153 160 170 172 180 184 192 200 204 207 215 225 230 240 255 258 272 276 288 300 306 320 340 344 345 360 368 387 391 400 408 414 425 430 450 460 480 510 516 544 552 575 576 600 612 645 680 688 690 720 731 736 765 774 782 800 816 828 850 860 900 920 960 989 1020 1032 1035 1075 1088 1104 1150 1173 1200 1224 1275 1290 1360 1376 1380 1440 1462 1472 1530 1548 1564 1600 1632 1656 1700 1720 1725 1800 1840 1935 1955 1978 2040 2064 2070 2150 2193 2208 2300 2346 2400 2448 2550 2580 2720 2752 2760 2880 2924 2967 3060 3096 3128 3225 3264 3312 3400 3440 3450 3519 3600 3655 3680 3825 3870 3910 3956 4080 4128 4140 4300 4386 4416 4600 4692 4800 4896 4945 5100 5160 5175 5440 5520 5848 5865 5934 6120 6192 6256 6450 6579 6624 6800 6880 6900 7038 7200 7310 7360 7650 7740 7820 7912 8160 8256 8280 8600 8772 8901 9200 9384 9675 9775 9792 9890 10200 10320 10350 10965 11040 11696 11730 11868 12240 12384 12512 12900 13158 13248 13600 13760 13800 14076 14400 14620 14835 15300 15480 15640 15824 16320 16560 16813 17200 17544 17595 17802 18275 18400 18768 19350 19550 19780 20400 20640 20700 21930 22080 23392 23460 23736 24480 24725 24768 25024 25800 26316 27200 27600 28152 29240 29325 29670 30600 30960 31280 31648 32895 33120 33626 34400 35088 35190 35604 36550 36800 37536 38700 39100 39560 40800 41280 41400 43860 44505 46784 46920 47472 48960 49450 50439 51600 52632 54825 55200 56304 58480 58650 59340 61200 61920 62560 63296 65790 66240 67252 68800 70176 70380 71208 73100 74175 75072 77400 78200 79120 81600 82800 84065 87720 87975 89010 93840 94944 98900 100878 103200 105264 109650 110400 112608 116960 117300 118680 122400 123840 125120 131580 134504 140352 140760 142416 146200 148350 151317 154800 156400 158240 164475 165600 168130 175440 175950 178020 187680 189888 197800 201756 206400 210528 219300 222525 225216 233920 234600 237360 244800 252195 263160 269008 281520 284832 292400 296700 302634 309600 312800 316480 328950 331200 336260 350880 351900 356040 375360 395600 403512 420325 421056 438600 445050 469200 474720 504390 526320 538016 563040 569664 584800 593400 605268 619200 625600 657900 672520 701760 703800 712080 756585 791200 807024 840650 877200 890100 938400 949440 1008780 1052640 1076032 1126080 1169600 1186800 1210536 1260975 1315800 1345040 1407600 1424160 1513170 1582400 1614048 1681300 1754400 1780200 1876800 2017560 2105280 2373600 2421072 2521950 2631600 2690080 2815200 2848320 3026340 3228096 3362600 3508800 3560400 3782925 4035120 4747200 4842144 5043900 5263200 5380160 5630400 6052680 6725200 7120800 7565850 8070240 9684288 10087800 10526400 12105360 13450400 14241600 15131700 16140480 20175600 24210720 26900800 30263400 40351200 48421440 60526800 80702400 121053600 242107200
- Sum of all divisors σ(n): 972848448
- Sum of proper divisors (its aliquot sum) s(n): 730741248
- 242107200 is an abundant number, because the sum of its proper divisors (730741248) is greater than itself. Its abundance is 488634048
Bases of 242107200
- Binary: 11100110111001000011010000002
- Hexadecimal: 0xE6E4340
- Base-36: 405740
Squares and roots of 242107200
- 242107200 squared (2421072002) is 58615896291840000
- 242107200 cubed (2421072003) is 14191330526707765248000000
-
The
square root of 242107200 is 15559.7943431137 -
The
cube root of 242107200 is 623.2599708401
Scales and comparisons
How big is 242107200?- 242,107,200 seconds is equal to 7 years, 36 weeks, 2 days, 4 hours.
-
To count from 1 to 242,107,200 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 242107200 cubic inches would be around 51.9 feet tall.
Recreational maths with 242107200
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