242225332428800
242,225,332,428,800 is an even composite number composed of four prime numbers multiplied together.
242225332428800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eight hundred eighty-two divisors.
Prime factorization of 242225332428800:
213 × 52 × 72 × 176
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 17 × 17 × 17 × 17 × 17 × 17)See below for interesting mathematical facts about the number 242225332428800 from the Numbermatics database.
Names of 242225332428800
- Cardinal: 242225332428800 can be written as Two hundred forty-two trillion, two hundred twenty-five billion, three hundred thirty-two million, four hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 2.422253324288 × 1014
Factors of 242225332428800
Divisors of 242225332428800
- Number of divisors d(n): 882
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 49 50 56 64 68 70 80 85 98 100 112 119 128 136 140 160 170 175 196 200 224 238 245 256 272 280 289 320 340 350 392 400 425 448 476 490 512 544 560 578 595 640 680 700 784 800 833 850 896 952 980 1024 1088 1120 1156 1190 1225 1280 1360 1400 1445 1568 1600 1666 1700 1792 1904 1960 2023 2048 2176 2240 2312 2380 2450 2560 2720 2800 2890 2975 3136 3200 3332 3400 3584 3808 3920 4046 4096 4165 4352 4480 4624 4760 4900 4913 5120 5440 5600 5780 5950 6272 6400 6664 6800 7168 7225 7616 7840 8092 8192 8330 8704 8960 9248 9520 9800 9826 10115 10240 10880 11200 11560 11900 12544 12800 13328 13600 14161 14336 14450 15232 15680 16184 16660 17408 17920 18496 19040 19600 19652 20230 20480 20825 21760 22400 23120 23800 24565 25088 25600 26656 27200 28322 28672 28900 30464 31360 32368 33320 34391 34816 35840 36992 38080 39200 39304 40460 40960 41650 43520 44800 46240 47600 49130 50176 50575 51200 53312 54400 56644 57344 57800 60928 62720 64736 66640 68782 69632 70805 71680 73984 76160 78400 78608 80920 83300 83521 87040 89600 92480 95200 98260 100352 101150 102400 106624 108800 113288 115600 121856 122825 125440 129472 133280 137564 139264 141610 143360 147968 152320 156800 157216 161840 166600 167042 171955 174080 179200 184960 190400 196520 200704 202300 204800 213248 217600 226576 231200 240737 243712 245650 250880 258944 266560 275128 283220 286720 295936 304640 313600 314432 323680 333200 334084 343910 348160 354025 358400 369920 380800 393040 401408 404600 417605 426496 435200 453152 462400 481474 487424 491300 501760 517888 533120 550256 566440 584647 591872 609280 627200 628864 647360 666400 668168 687820 696320 708050 716800 739840 761600 786080 809200 835210 852992 859775 870400 906304 924800 962948 974848 982600 1003520 1035776 1066240 1100512 1132880 1169294 1183744 1203685 1218560 1254400 1257728 1294720 1332800 1336336 1375640 1416100 1419857 1433600 1479680 1523200 1572160 1618400 1670420 1705984 1719550 1740800 1812608 1849600 1925896 1965200 2007040 2071552 2088025 2132480 2201024 2265760 2338588 2367488 2407370 2437120 2508800 2515456 2589440 2665600 2672672 2751280 2832200 2839714 2923235 2959360 3046400 3144320 3236800 3340840 3411968 3439100 3481600 3625216 3699200 3851792 3930400 4092529 4143104 4176050 4264960 4402048 4531520 4677176 4814740 4874240 5017600 5030912 5178880 5331200 5345344 5502560 5664400 5679428 5846470 5918720 6018425 6092800 6288640 6473600 6681680 6823936 6878200 7099285 7250432 7398400 7703584 7860800 8185058 8286208 8352100 8529920 8804096 9063040 9354352 9629480 9938999 10035200 10061824 10357760 10662400 10690688 11005120 11328800 11358856 11692940 11837440 12036850 12185600 12577280 12947200 13363360 13756400 14198570 14500864 14616175 14796800 15407168 15721600 16370116 16572416 16704200 17059840 17608192 18126080 18708704 19258960 19877998 20123648 20462645 20715520 21324800 21381376 22010240 22657600 22717712 23385880 24073700 24137569 24371200 25154560 25894400 26726720 27512800 28397140 29001728 29232350 29593600 30814336 31443200 32740232 33408400 34119680 35216384 35496425 36252160 37417408 38517920 39755996 40247296 40925290 41431040 42649600 42762752 44020480 45315200 45435424 46771760 48147400 48275138 49694995 50309120 51788800 53453440 55025600 56794280 58003456 58464700 59187200 61628672 62886400 65480464 66816800 69572993 70432768 70992850 72504320 74834816 77035840 79511992 81850580 82862080 85299200 85525504 88040960 90630400 90870848 93543520 96294800 96550276 99389990 100618240 102313225 103577600 106906880 110051200 113588560 116006912 116929400 120687845 123257344 125772800 130960928 133633600 139145986 140865536 141985700 145008640 149669632 154071680 159023984 163701160 168962983 170598400 171051008 176081920 181260800 181741696 187087040 192589600 193100552 198779980 201236480 204626450 207155200 213813760 220102400 227177120 233858800 241375690 246514688 248474975 251545600 261921856 267267200 278291972 281731072 283971400 290017280 299339264 308143360 318047968 327402320 337925966 342102016 347864965 352163840 362521600 363483392 374174080 385179200 386201104 397559960 409252900 414310400 427627520 440204800 454354240 467717600 482751380 493029376 496949950 503091200 523843712 534534400 556583944 567942800 580034560 598678528 603439225 616286720 636095936 654804640 675851932 684204032 695729930 704327680 725043200 726966784 748348160 770358400 772402208 795119920 818505800 844814915 855255040 880409600 908708480 935435200 965502760 986058752 993899900 1006182400 1047687424 1069068800 1113167888 1135885600 1182740881 1197357056 1206878450 1232573440 1272191872 1309609280 1351703864 1391459860 1408655360 1450086400 1453933568 1496696320 1540716800 1544804416 1590239840 1637011600 1689629830 1710510080 1739324825 1760819200 1817416960 1870870400 1931005520 1972117504 1987799800 2095374848 2138137600 2226335776 2271771200 2365481762 2394714112 2413756900 2465146880 2544383744 2619218560 2703407728 2782919720 2900172800 2907867136 2993392640 3081433600 3089608832 3180479680 3274023200 3379259660 3421020160 3478649650 3521638400 3634833920 3741740800 3862011040 3975599600 4190749696 4224074575 4276275200 4452671552 4543542400 4730963524 4789428224 4827513800 4930293760 5088767488 5238437120 5406815456 5565839440 5815734272 5913704405 5986785280 6162867200 6179217664 6360959360 6548046400 6758519320 6957299300 7043276800 7269667840 7483481600 7724022080 7951199200 8381499392 8448149150 8552550400 8905343104 9087084800 9461927048 9655027600 9860587520 10177534976 10476874240 10813630912 11131678880 11631468544 11827408810 11973570560 12325734400 12358435328 12721918720 13096092800 13517038640 13914598600 14539335680 14966963200 15448044160 15902398400 16762998784 16896298300 17105100800 17810686208 18174169600 18923854096 19310055200 20355069952 20953748480 21627261824 22263357760 23654817620 23947141120 24651468800 24716870656 25443837440 26192185600 27034077280 27829197200 29078671360 29568522025 29933926400 30896088320 31804796800 33525997568 33792596600 35621372416 36348339200 37847708192 38620110400 40710139904 41907496960 43254523648 44526715520 47309635240 49302937600 49433741312 50887674880 52384371200 54068154560 55658394400 58157342720 59137044050 59867852800 61792176640 63609593600 67585193200 71242744832 72696678400 75695416384 77240220800 81420279808 83814993920 86509047296 89053431040 94619270480 98867482624 101775349760 104768742400 108136309120 111316788800 118274088100 119735705600 123584353280 127219187200 135170386400 142485489664 145393356800 151390832768 154480441600 167629987840 173018094592 178106862080 189238540960 197734965248 203550699520 209537484800 216272618240 222633577600 236548176200 247168706560 254438374400 270340772800 284970979328 290786713600 302781665536 308960883200 346036189184 356213724160 378477081920 407101399040 419074969600 432545236480 445267155200 473096352400 494337413120 508876748800 540681545600 569941958656 605563331072 617921766400 692072378368 712427448320 756954163840 838149939200 865090472960 890534310400 946192704800 988674826240 1017753497600 1081363091200 1211126662144 1235843532800 1384144756736 1424854896640 1513908327680 1730180945920 1781068620800 1892385409600 2035506995200 2162726182400 2422253324288 2471687065600 2849709793280 3027816655360 3460361891840 3562137241600 3784770819200 4325452364800 4844506648576 4943374131200 6055633310720 6920723783680 7124274483200 7569541638400 8650904729600 9689013297152 12111266621440 14248548966400 15139083276800 17301809459200 24222533242880 30278166553600 34603618918400 48445066485760 60556333107200 121112666214400 242225332428800
- Sum of all divisors σ(n): 742424759049087
- Sum of proper divisors (its aliquot sum) s(n): 500199426620287
- 242225332428800 is an abundant number, because the sum of its proper divisors (500199426620287) is greater than itself. Its abundance is 257974094191487
Bases of 242225332428800
- Binary: 1101110001001101011110101110010100100000000000002
- Hexadecimal: 0xDC4D7AE52000
- Base-36: 2DV0S4USJK
Squares and roots of 242225332428800
- 242225332428800 squared (2422253324288002) is 58673111670242668907069440000
- 242225332428800 cubed (2422253324288003) is 14212113978956635280781028678405455872000000
-
The
square root of 242225332428800 is 15563589.9595433957 -
The
cube root of 242225332428800 is 62336.1324348177 - Being both a perfect square and a perfect cube, 242225332428800 is also a
perfect sixth number .
Scales and comparisons
How big is 242225332428800?- 242,225,332,428,800 seconds is equal to 7,702,016 years, 16 weeks, 4 days, 3 hours, 33 minutes, 20 seconds.
-
To count from 1 to 242,225,332,428,800 would take you about nineteen million, two hundred fifty-five thousand and forty 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 242225332428800 cubic inches would be around 5194.7 feet tall.
Recreational maths with 242225332428800
- 242225332428800 backwards is 008824233522242
- The number of decimal digits it has is: 15
- The sum of 242225332428800's digits is 47
- More coming soon!
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"Number 242225332428800 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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The information we have on file for 242225332428800 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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