214431731027712000
214,431,731,027,712,000 is an even composite number composed of seven prime numbers multiplied together.
214431731027712000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 214431731027712000:
211 × 32 × 53 × 11 × 53 × 241 × 662401
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 11 × 53 × 241 × 662401)See below for interesting mathematical facts about the number 214431731027712000 from the Numbermatics database.
Names of 214431731027712000
- Cardinal: 214431731027712000 can be written as Two hundred fourteen quadrillion, four hundred thirty-one trillion, seven hundred thirty-one billion, twenty-seven million, seven hundred twelve thousand.
Scientific notation
- Scientific notation: 2.14431731027712 × 1017
Factors of 214431731027712000
Divisors of 214431731027712000
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 32 33 36 40 44 45 48 50 53 55 60 64 66 72 75 80 88 90 96 99 100 106 110 120 125 128 132 144 150 159 160 165 176 180 192 198 200 212 220 225 240 241 250 256 264 265 275 288 300 318 320 330 352 360 375 384 396 400 424 440 450 477 480 482 495 500 512 528 530 550 576 583 600 636 640 660 704 720 723 750 768 792 795 800 825 848 880 900 954 960 964 990 1000 1024 1056 1060 1100 1125 1152 1166 1200 1205 1272 1280 1320 1325 1375 1408 1440 1446 1500 1536 1584 1590 1600 1650 1696 1749 1760 1800 1908 1920 1928 1980 2000 2048 2112 2120 2169 2200 2250 2304 2332 2385 2400 2410 2475 2544 2560 2640 2650 2651 2750 2816 2880 2892 2915 3000 3072 3168 3180 3200 3300 3392 3498 3520 3600 3615 3816 3840 3856 3960 3975 4000 4125 4224 4240 4338 4400 4500 4608 4664 4770 4800 4820 4950 5088 5120 5247 5280 5300 5302 5500 5632 5760 5784 5830 6000 6025 6144 6336 6360 6400 6600 6625 6784 6996 7040 7200 7230 7632 7680 7712 7920 7950 7953 8000 8250 8448 8480 8676 8745 8800 9000 9216 9328 9540 9600 9640 9900 10176 10240 10494 10560 10600 10604 10845 11000 11264 11520 11568 11660 11925 12000 12050 12375 12672 12720 12773 12800 13200 13250 13255 13568 13992 14080 14400 14460 14575 15264 15360 15424 15840 15900 15906 16000 16500 16896 16960 17352 17490 17600 18000 18075 18432 18656 19080 19200 19280 19800 19875 20352 20988 21120 21200 21208 21690 22000 22528 23040 23136 23320 23850 23859 24000 24100 24750 25344 25440 25546 25600 26235 26400 26500 26510 27136 27984 28160 28800 28920 29150 30125 30528 30720 30848 31680 31800 31812 32000 33000 33792 33920 34704 34980 35200 36000 36150 37312 38160 38319 38400 38560 39600 39750 39765 40704 41976 42240 42400 42416 43380 43725 44000 46080 46272 46640 47700 47718 48000 48200 49500 50688 50880 51092 51200 52470 52800 53000 53020 54225 54272 55968 56320 57600 57840 58300 59625 60250 61056 61696 63360 63600 63624 63865 64000 66000 66275 67584 67840 69408 69960 70400 72000 72300 72875 74624 76320 76638 76800 77120 79200 79500 79530 81408 83952 84480 84800 84832 86760 87450 88000 90375 92160 92544 93280 95400 95436 96000 96400 99000 101376 101760 102184 104940 105600 106000 106040 108450 108544 111936 112640 114957 115200 115680 116600 119250 119295 120500 122112 123392 126720 127200 127248 127730 128000 131175 132000 132550 135680 138816 139920 140503 140800 144000 144600 145750 149248 152640 153276 153600 154240 158400 159000 159060 162816 167904 168960 169600 169664 173520 174900 176000 180750 185088 186560 190800 190872 191595 192000 192800 198000 198825 202752 203520 204368 209880 211200 212000 212080 216900 218625 223872 229914 230400 231360 233200 238500 238590 241000 244224 246784 253440 254400 254496 255460 256000 262350 264000 265100 271125 271360 277632 279840 281006 281600 288000 289200 291500 298496 305280 306552 308480 316800 318000 318120 319325 325632 331375 335808 337920 339200 339328 347040 349800 352000 361500 370176 373120 381600 381744 383190 384000 385600 396000 397650 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29782184864960 30459052702800 30650619072000 31608450918000 32367053740032 32489656216320 33504957973080 33715680979200 33843391892000 34900997888625 35590328801280 35738621837952 36780742886400 37073259168000 37227731081200 38073815878500 38987587459584 40443555456000 40458817175040 40612070270400 40867492096000 41881197466350 42144601224000 43319541621760 44487911001600 44673277297440 44954241305600 45975928608000 46534663851500 47651495783936 48734484324480 49431012224000 50573521468800 50765087838000 51983449946112 53607932756928 53945089566720 54149427027200 55609888752000 55841596621800 56192801632000 59317214668800 59564369729920 60918105405600 61301238144000 63216901836000 64979312432640 67009915946160 67431361958400 67686783784000 69801995777250 71477243675904 73561485772800 74146518336000 74455462162400 76147631757000 77975174919168 80887110912000 80917634350080 81224140540800 83762394932700 84289202448000 86639083243520 88975822003200 89346554594880 89908482611200 91951857216000 93069327703000 95302991567872 97468968648960 98862024448000 101147042937600 101530175676000 104702993665875 107215865513856 108298854054400 111219777504000 111683193243600 112385603264000 119128739459840 121836210811200 122602476288000 126433803672000 129958624865280 134019831892320 134862723916800 135373567568000 139603991554500 142954487351808 148293036672000 148910924324800 152295263514000 155950349838336 161835268700160 162448281081600 167524789865400 168578404896000 177951644006400 178693109189760 183903714432000 186138655406000 190605983135744 194937937297920 202294085875200 203060351352000 209405987331750 214431731027712 216597708108800 222439555008000 223366386487200 224771206528000 238257478919680 243672421622400 252867607344000 259917249730560 268039663784640 269725447833600 270747135136000 279207983109000 285908974703616 296586073344000 297821848649600 304590527028000 324896562163200 335049579730800 337156809792000 357386218379520 367807428864000 372277310812000 389875874595840 404588171750400 406120702704000 418811974663500 428863462055424 433195416217600 444879110016000 446732772974400 449542413056000 476514957839360 487344843244800 505735214688000 536079327569280 541494270272000 558415966218000 571817949407232 595643697299200 609181054056000 649793124326400 670099159461600 674313619584000 714772436759040 744554621624000 779751749191680 809176343500800 812241405408000 837623949327000 857726924110848 889758220032000 893465545948800 953029915678720 974689686489600 1011470429376000 1072158655138560 1082988540544000 1116831932436000 1191287394598400 1218362108112000 1299586248652800 1340198318923200 1348627239168000 1429544873518080 1489109243248000 1624482810816000 1675247898654000 1715453848221696 1786931091897600 1949379372979200 2022940858752000 2144317310277120 2165977081088000 2233663864872000 2382574789196800 2436724216224000 2680396637846400 2859089747036160 2978218486496000 3248965621632000 3350495797308000 3573862183795200 3898758745958400 4045881717504000 4288634620554240 4467327729744000 4765149578393600 4873448432448000 5360793275692800 5956436972992000 6497931243264000 6700991594616000 7147724367590400 8577269241108480 8934655459488000 9746896864896000 10721586551385600 11912873945984000 13401983189232000 14295448735180800 17869310918976000 19493793729792000 21443173102771200 23825747891968000 26803966378464000 35738621837952000 42886346205542400 53607932756928000 71477243675904000 107215865513856000 214431731027712000
- Sum of all divisors σ(n): 862648484446869120
- Sum of proper divisors (its aliquot sum) s(n): 648216753419157120
- 214431731027712000 is an abundant number, because the sum of its proper divisors (648216753419157120) is greater than itself. Its abundance is 433785022391445120
Bases of 214431731027712000
- Binary: 10111110011101000010000101111101000111101010011000000000002
- Hexadecimal: 0x2F9D085F47A9800
- Base-36: 1MNDPDB2O740
Squares and roots of 214431731027712000
- 214431731027712000 squared (2144317310277120002) is 45980967271541025259711954944000000
- 214431731027712000 cubed (2144317310277120003) is 9859778406365113648983703952033065759408128000000000
-
The
square root of 214431731027712000 is 463067739.1351204893 -
The
cube root of 214431731027712000 is 598544.3705269349
Scales and comparisons
How big is 214431731027712000?- 214,431,731,027,712,000 seconds is equal to 6,818,265,765 years, 40 weeks, 6 days, 16 hours.
-
To count from 1 to 214,431,731,027,712,000 would take you about twenty billion, four hundred fifty-four million, seven hundred ninety-seven thousand, two hundred ninety-seven 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 214431731027712000 cubic inches would be around 49878.7 feet tall.
Recreational maths with 214431731027712000
- 214431731027712000 backwards is 000217720137134412
- 214431731027712000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 214431731027712000's digits is 45
- More coming soon!
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"Number 214431731027712000 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 214431731027712000 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/214431731027712000/
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The information we have on file for 214431731027712000 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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