242193326400
242,193,326,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 242193326400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 672 divisors.
242193326400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 242193326400:
26 × 33 × 52 × 61 × 73 × 1259
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 61 × 73 × 1259)See below for interesting mathematical facts about the number 242193326400 from the Numbermatics database.
Names of 242193326400
- Cardinal: 242193326400 can be written as Two hundred forty-two billion, one hundred ninety-three million, three hundred twenty-six thousand, four hundred.
Scientific notation
- Scientific notation: 2.421933264 × 1011
Factors of 242193326400
Divisors of 242193326400
- Number of divisors d(n): 672
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 61 64 72 73 75 80 90 96 100 108 120 122 135 144 146 150 160 180 183 192 200 216 219 225 240 244 270 288 292 300 305 320 360 365 366 400 432 438 450 480 488 540 549 576 584 600 610 657 675 720 730 732 800 864 876 900 915 960 976 1080 1095 1098 1168 1200 1220 1259 1314 1350 1440 1460 1464 1525 1600 1647 1728 1752 1800 1825 1830 1952 1971 2160 2190 2196 2336 2400 2440 2518 2628 2700 2745 2880 2920 2928 3050 3285 3294 3504 3600 3650 3660 3777 3904 3942 4320 4380 4392 4453 4575 4672 4800 4880 5036 5256 5400 5475 5490 5840 5856 6100 6295 6570 6588 7008 7200 7300 7320 7554 7884 8235 8640 8760 8784 8906 9150 9760 9855 10072 10512 10800 10950 10980 11331 11680 11712 12200 12590 13140 13176 13359 13725 14016 14400 14600 14640 15108 15768 16425 16470 17520 17568 17812 18300 18885 19520 19710 20144 21024 21600 21900 21960 22265 22662 23360 24400 25180 26280 26352 26718 27450 29200 29280 30216 31475 31536 32850 32940 33993 35040 35136 35624 36600 37770 39420 40077 40288 41175 42048 43200 43800 43920 44530 45324 48800 49275 50360 52560 52704 53436 54900 56655 58400 58560 60432 62950 63072 65700 65880 66795 67986 70080 71248 73200 75540 76799 78840 80154 80576 82350 87600 87840 89060 90648 91907 94425 97600 98550 100720 105120 105408 106872 109800 111325 113310 116800 120231 120864 125900 126144 131400 131760 133590 135972 142496 146400 151080 153598 157680 160308 164700 169965 175200 175680 178120 181296 183814 188850 197100 200385 201440 210240 213744 219600 222650 226620 230397 240462 241728 251800 262800 263520 267180 271944 275721 283275 284992 292800 302160 307196 315360 320616 329400 333975 339930 350400 356240 362592 367628 377700 383995 394200 400770 402880 427488 439200 445300 453240 459535 460794 480924 503600 525600 527040 534360 543888 551442 566550 601155 604320 614392 630720 641232 658800 667950 679860 691191 712480 725184 735256 755400 767990 788400 801540 827163 849825 854976 878400 890600 906480 919070 921588 961848 1001925 1007200 1051200 1068720 1087776 1102884 1133100 1151985 1202310 1208640 1228784 1282464 1317600 1335900 1359720 1378605 1382382 1424960 1470512 1510800 1535980 1576800 1603080 1654326 1699650 1781200 1812960 1838140 1843176 1919975 1923696 2003850 2014400 2073573 2137440 2175552 2205768 2266200 2297675 2303970 2404620 2457568 2481489 2564928 2635200 2671800 2719440 2757210 2764764 2941024 3005775 3021600 3071960 3153600 3206160 3308652 3399300 3455955 3562400 3625920 3676280 3686352 3839950 3847392 4007700 4135815 4147146 4274880 4411536 4532400 4595350 4607940 4809240 4915136 4962978 5343600 5438880 5514420 5529528 5606327 5759925 5882048 6011550 6043200 6143920 6412320 6617304 6798600 6893025 6911910 7124800 7352560 7372704 7679900 7694784 8015400 8271630 8294292 8823072 9064800 9190700 9215880 9618480 9925956 10367865 10687200 10877760 11028840 11059056 11212654 11519850 12023100 12287840 12407445 12824640 13234608 13597200 13786050 13823820 14705120 14745408 15359800 16030800 16543260 16588584 16818981 17279775 17646144 18129600 18381400 18431760 19236960 19851912 20679075 20735730 21374400 22057680 22118112 22425308 23039700 24046200 24575680 24814890 26469216 27194400 27572100 27647640 28031635 29410240 30719600 32061600 33086520 33177168 33637962 34559550 36762800 36863520 38473920 39703824 41358150 41471460 44115360 44236224 44850616 46079400 48092400 49629780 50456943 51839325 52938432 54388800 55144200 55295280 56063270 61439200 62037225 64123200 66173040 66354336 67275924 69119100 73525600 73727040 79407648 82716300 82942920 84094905 88230720 89701232 92158800 96184800 99259560 100913886 103678650 110288400 110590560 112126540 122878400 124074450 132346080 132708672 134551848 138238200 140158175 147051200 151370829 158815296 165432600 165885840 168189810 179402464 184317600 192369600 198519120 201827772 207357300 220576800 221181120 224253080 248148900 252284715 264692160 269103696 276476400 280316350 302741658 330865200 331771680 336379620 358804928 368635200 397038240 403655544 414714600 420474525 441153600 448506160 496297800 504569430 538207392 552952800 560632700 605483316 661730400 663543360 672759240 756854145 794076480 807311088 829429200 840949050 897012320 992595600 1009138860 1076414784 1105905600 1121265400 1210966632 1261423575 1323460800 1345518480 1513708290 1614622176 1658858400 1681898100 1794024640 1985191200 2018277720 2242530800 2421933264 2522847150 2691036960 3027416580 3229244352 3317716800 3363796200 3784270725 3970382400 4036555440 4485061600 4843866528 5045694300 5382073920 6054833160 6727592400 7568541450 8073110880 8970123200 9687733056 10091388600 12109666320 13455184800 15137082900 16146221760 20182777200 24219332640 26910369600 30274165800 40365554400 48438665280 60548331600 80731108800 121096663200 242193326400
- Sum of all divisors σ(n): 910372982400
- Sum of proper divisors (its aliquot sum) s(n): 668179656000
- 242193326400 is an abundant number, because the sum of its proper divisors (668179656000) is greater than itself. Its abundance is 425986329600
Bases of 242193326400
- Binary: 111000011000111101100011100001010000002
- Hexadecimal: 0x3863D8E140
- Base-36: 339FNIO0
Squares and roots of 242193326400
- 242193326400 squared (2421933264002) is 58657607352696936960000
- 242193326400 cubed (2421933264003) is 14206481043414769173433503744000000
-
The
square root of 242193326400 is 492131.4117184555 -
The
cube root of 242193326400 is 6233.3386754571
Scales and comparisons
How big is 242193326400?- 242,193,326,400 seconds is equal to 7,700 years, 51 weeks, 6 days, 12 hours.
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To count from 1 to 242,193,326,400 would take you about fifteen thousand, four hundred 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 242193326400 cubic inches would be around 519.4 feet tall.
Recreational maths with 242193326400
- 242193326400 backwards is 004623391242
- 242193326400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 242193326400's digits is 36
- More coming soon!
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The information we have on file for 242193326400 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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