242890588168800
242,890,588,168,800 is an even composite number composed of seven prime numbers multiplied together.
242890588168800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 242890588168800:
25 × 3 × 52 × 112 × 133 × 61 × 792
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 11 × 13 × 13 × 13 × 61 × 79 × 79)See below for interesting mathematical facts about the number 242890588168800 from the Numbermatics database.
Names of 242890588168800
- Cardinal: 242890588168800 can be written as Two hundred forty-two trillion, eight hundred ninety billion, five hundred eighty-eight million, one hundred sixty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 2.428905881688 × 1014
Factors of 242890588168800
Divisors of 242890588168800
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 25 26 30 32 33 39 40 44 48 50 52 55 60 61 65 66 75 78 79 80 88 96 100 104 110 120 121 122 130 132 143 150 156 158 160 165 169 176 183 195 200 208 220 237 240 242 244 260 264 275 286 300 305 312 316 325 330 338 352 363 366 390 395 400 416 429 440 474 480 484 488 507 520 528 550 572 600 605 610 624 632 650 660 671 676 715 726 732 780 790 793 800 825 845 858 869 880 915 948 968 975 976 1014 1027 1040 1056 1100 1144 1185 1200 1210 1220 1248 1264 1300 1320 1342 1352 1430 1452 1464 1525 1560 1573 1580 1586 1650 1690 1716 1738 1760 1815 1830 1859 1896 1936 1950 1952 1975 2013 2028 2054 2080 2145 2197 2200 2288 2370 2379 2400 2420 2440 2528 2535 2600 2607 2640 2684 2704 2860 2904 2928 3025 3050 3081 3120 3146 3160 3172 3300 3355 3380 3432 3476 3575 3630 3660 3718 3792 3872 3900 3950 3965 4026 4056 4108 4225 4290 4345 4394 4400 4575 4576 4719 4740 4758 4819 4840 4880 5070 5135 5200 5214 5280 5368 5408 5577 5720 5808 5856 5925 6050 6100 6162 6240 6241 6292 6320 6344 6591 6600 6710 6760 6864 6952 7150 7260 7320 7381 7436 7584 7800 7865 7900 7930 8052 8112 8216 8450 8580 8690 8723 8788 8800 9075 9150 9295 9438 9480 9516 9559 9638 9680 9760 10065 10140 10270 10309 10400 10428 10725 10736 10985 11154 11297 11440 11616 11850 11895 12100 12200 12324 12482 12584 12640 12675 12688 13035 13182 13200 13351 13420 13520 13728 13904 14300 14457 14520 14640 14762 14872 15405 15600 15730 15800 15860 16104 16224 16432 16775 16900 17160 17380 17446 17576 18150 18300 18590 18723 18876 18960 19032 19118 19276 19360 19825 20130 20280 20449 20540 20618 20856 21450 21472 21725 21970 22143 22308 22594 22880 23595 23700 23790 24095 24167 24200 24400 24648 24964 25168 25350 25376 25675 26070 26169 26364 26400 26702 26840 27040 27808 27885 28600 28677 28914 29040 29280 29524 29744 30810 30927 31200 31205 31460 31600 31720 32208 32864 32955 33550 33800 33891 34320 34760 34892 35152 36300 36600 36905 37180 37446 37752 37920 38064 38236 38552 39325 39650 40053 40260 40560 40898 41080 41236 41712 42900 43450 43615 43940 44286 44616 45188 46475 47190 47400 47580 47795 48190 48334 48400 48800 49296 49928 50325 50336 50700 51350 51545 52140 52338 52728 53009 53404 53680 54925 55770 56485 57200 57354 57828 58080 59048 59475 59488 61347 61620 61854 62410 62647 62920 63200 63440 64416 65175 65910 66755 67100 67600 67782 68640 68651 69520 69784 70304 72285 72501 72600 73200 73810 74360 74892 75504 76128 76472 77025 77104 78650 79300 80106 80520 81120 81133 81796 82160 82472 83424 85800 86900 87230 87880 88572 89232 90376 92950 93615 94380 94800 95160 95590 95953 96380 96668 96800 98592 99856 100650 101400 102245 102700 103090 104280 104676 105456 106018 106808 107360 109850 110715 111540 112970 113399 114400 114708 115656 117975 118096 118950 120475 120835 122694 123240 123708 124267 124820 125294 125840 126880 130350 130845 131820 133510 134017 134200 135200 135564 137302 139040 139425 139568 143385 144570 145002 145200 146400 146861 147620 148720 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66912007760 67941423264 69876463800 70772315900 71861120760 72396598560 73603208536 76573325400 76864110180 77206162800 77849547490 78834984800 79636258416 80294409312 82954435850 83640009700 84926779080 89826400950 90495748200 92004010670 93168618400 93419456988 95814827680 96080137725 99545323020 100368011640 101204411737 102097767200 102485480240 106158473850 110404812804 110555570400 113235705440 116774321235 118252477200 119768534600 120660997600 122982576288 124431653775 124559275984 125460014550 128106850300 130656583200 132727097360 133824015520 138006016005 139752927600 141544631800 143722241520 147206417072 153146650800 153728220360 154412325600 155699094980 159272516832 165908871700 167280019400 169853558160 179652801900 180991496400 184008021340 186838913976 192160275450 194623868725 199090646040 200736023280 202408823474 204970960480 212316947700 220809625608 230010026675 233548642470 236504954400 239537069200 248863307550 249118551968 250920029100 256213700600 265454194720 276012032010 279505855200 283089263600 287444483040 294412834144 303613235211 306293301600 307456440720 311398189960 331817743400 334560038800 339707116320 359305603800 361982992800 368016042680 373677827952 384320550900 389247737450 398181292080 401472046560 404817646948 424633895400 441619251216 460020053350 467097284940 479074138400 497726615100 501840058200 506022058685 512427401200 552024064020 566178527200 583871606175 607226470422 614912881440 622796379920 663635486800 669120077600 690030080025 718611207600 736032085360 747355655904 768641101800 778495474900 796362584160 809635293896 849267790800 883238502432 920040106700 934194569880 995453230200 1003680116400 1012044117370 1024854802400 1104048128040 1167743212350 1214452940844 1245592759840 1327270973600 1380060160050 1437222415200 1472064170720 1518066176055 1537282203600 1556990949800 1619270587792 1698535581600 1840080213400 1868389139760 1990906460400 2007360232800 2024088234740 2208096256080 2335486424700 2428905881688 2530110293425 2760120320100 3036132352110 3074564407200 3113981899600 3238541175584 3680160426800 3736778279520 3981812920800 4048176469480 4416192512160 4670972849400 4857811763376 5060220586850 5520240640200 6072264704220 6227963799200 7360320853600 7590330880275 8096352938960 9341945698800 9715623526752 10120441173700 11040481280400 12144529408440 15180661760550 16192705877920 18683891397600 20240882347400 22080962560800 24289058816880 30361323521100 40481764694800 48578117633760 60722647042200 80963529389600 121445294084400 242890588168800
- Sum of all divisors σ(n): 969099372732960
- Sum of proper divisors (its aliquot sum) s(n): 726208784564160
- 242890588168800 is an abundant number, because the sum of its proper divisors (726208784564160) is greater than itself. Its abundance is 483318196395360
Bases of 242890588168800
- Binary: 1101110011101000010111110011101000100010011000002
- Hexadecimal: 0xDCE85F3A2260
- Base-36: 2E3IE8Y2QO
Squares and roots of 242890588168800
- 242890588168800 squared (2428905881688002) is 58995837820985606537293440000
- 242890588168800 cubed (2428905881688003) is 14329533747850330135562217953637852672000000
-
The
square root of 242890588168800 is 15584947.4868797681 -
The
cube root of 242890588168800 is 62393.1476155963
Scales and comparisons
How big is 242890588168800?- 242,890,588,168,800 seconds is equal to 7,723,169 years, 20 weeks, 3 days, 8 hours, 40 minutes.
-
To count from 1 to 242,890,588,168,800 would take you about nineteen million, three hundred seven thousand, nine hundred twenty-three 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 242890588168800 cubic inches would be around 5199.4 feet tall.
Recreational maths with 242890588168800
- 242890588168800 backwards is 008861885098242
- The number of decimal digits it has is: 15
- The sum of 242890588168800's digits is 69
- More coming soon!
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Cite this page
MLA style:
"Number 242890588168800 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
APA style:
Numbermatics. (2024). Number 242890588168800 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/242890588168800/
Chicago style:
Numbermatics. 2024. "Number 242890588168800 - Facts about the integer". https://numbermatics.com/n/242890588168800/
The information we have on file for 242890588168800 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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