13813854098944000
13,813,854,098,944,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13813854098944000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1248 divisors.
13813854098944000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 13813854098944000:
212 × 53 × 19 × 23 × 199 × 5572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 19 × 23 × 199 × 557 × 557)See below for interesting mathematical facts about the number 13813854098944000 from the Numbermatics database.
Names of 13813854098944000
- Cardinal: 13813854098944000 can be written as Thirteen quadrillion, eight hundred thirteen trillion, eight hundred fifty-four billion, ninety-eight million, nine hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.3813854098944 × 1016
Factors of 13813854098944000
Divisors of 13813854098944000
- Number of divisors d(n): 1248
-
Complete list of divisors:
1 2 4 5 8 10 16 19 20 23 25 32 38 40 46 50 64 76 80 92 95 100 115 125 128 152 160 184 190 199 200 230 250 256 304 320 368 380 398 400 437 460 475 500 512 557 575 608 640 736 760 796 800 874 920 950 995 1000 1024 1114 1150 1216 1280 1472 1520 1592 1600 1748 1840 1900 1990 2000 2048 2185 2228 2300 2375 2432 2560 2785 2875 2944 3040 3184 3200 3496 3680 3781 3800 3980 4000 4096 4370 4456 4577 4600 4750 4864 4975 5120 5570 5750 5888 6080 6368 6400 6992 7360 7562 7600 7960 8000 8740 8912 9154 9200 9500 9728 9950 10240 10583 10925 11140 11500 11776 12160 12736 12800 12811 13925 13984 14720 15124 15200 15920 16000 17480 17824 18308 18400 18905 19000 19456 19900 20480 21166 21850 22280 22885 23000 23552 24320 24875 25472 25600 25622 27850 27968 29440 30248 30400 31840 32000 34960 35648 36616 36800 37810 38000 38912 39800 42332 43700 44560 45770 46000 47104 48640 49750 50944 51200 51244 52915 54625 55700 55936 58880 60496 60800 63680 64000 64055 69625 69920 71296 73232 73600 75620 76000 77824 79600 84664 86963 87400 89120 91540 92000 94208 94525 97280 99500 101888 102400 102488 105830 109250 110843 111400 111872 114425 117760 120992 121600 127360 128000 128110 139250 139840 142592 146464 147200 151240 152000 159200 169328 173926 174800 178240 183080 184000 189050 194560 199000 203776 204976 211660 218500 221686 222800 223744 228850 235520 241984 243200 243409 254720 256000 256220 264575 278500 279680 285184 292928 294400 302480 304000 310249 318400 320275 338656 347852 349600 356480 366160 368000 378100 389120 398000 407552 409952 423320 434815 437000 443372 445600 447488 457700 471040 472625 483968 486400 486818 509440 512000 512440 529150 554215 557000 559360 570368 572125 585856 588800 604960 608000 620498 636800 640550 677312 695704 699200 712960 732320 736000 756200 796000 815104 819904 846640 869630 874000 886744 891200 894976 915400 945250 967936 972800 973636 1018880 1024880 1058300 1108430 1114000 1118720 1140736 1144250 1171712 1177600 1209920 1216000 1217045 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27115762600 28375808000 28400193460 28542908000 29227937792 29326286725 30181022720 30869775500 31000570240 31156352000 31610650112 31769497600 32632179200 33696272000 33894703250 34708176128 35500241825 36534922240 37537647008 37726278400 38750712800 39513312640 39711872000 40790224000 43131228160 43385220160 44525056000 45440309536 45668652800 46922058760 47157848000 48438391000 49391640800 49600912384 52211486720 53914035200 53960367574 54231525200 56751616000 56800386920 57085816000 58652573450 60362045440 61739551000 62001140480 62312704000 63221300224 65264358400 67392544000 67789406500 69416352256 71000483650 73069844480 75075294016 75452556800 77501425600 79026625280 79423744000 81580448000 86770440320 90880619072 91337305600 93844117520 94315696000 96876782000 98783281600 99201824768 107828070400 107920735148 108463050400 113600773840 114171632000 117305146900 120724090880 123479102000 124002280960 124625408000 126442600448 130528716800 134785088000 134900918935 135578813000 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908806190720 913373056000 938441175200 987832816000 992018247680 1078280704000 1079207351480 1084630504000 1136007738400 1173051469000 1201204704256 1240022809600 1264426004480 1305287168000 1349009189350 1388327045120 1420009673000 1454089905152 1501505880320 1509051136000 1550028512000 1580532505600 1726731762368 1735408806400 1817612381440 1826746112000 1876882350400 1975665632000 2158414702960 2169261008000 2272015476800 2346102938000 2402409408512 2480045619200 2698018378700 2776654090240 2840019346000 2908179810304 3003011760640 3018102272000 3100057024000 3161065011200 3372522973375 3453463524736 3470817612800 3635224762880 3653492224000 3753764700800 3951331264000 4316829405920 4338522016000 4544030953600 4692205876000 4804818817024 4960091238400 5396036757400 5680038692000 5816359620608 6006023521280 6200114048000 6322130022400 6745045946750 6906927049472 6941635225600 7270449525760 7507529401600 7902662528000 8633658811840 8677044032000 9088061907200 9384411752000 10792073514800 11360077384000 12012047042560 12400228096000 13490091893500 13813854098944 13883270451200 14540899051520 15015058803200 15805325056000 17267317623680 17354088064000 18176123814400 18768823504000 21584147029600 22720154768000 24024094085120 24800456192000 26980183787000 27627708197888 29081798103040 30030117606400 31610650112000 34534635247360 34708176128000 36352247628800 37537647008000 43168294059200 45440309536000 53960367574000 55255416395776 60060235212800 69069270494720 69416352256000 72704495257600 75075294016000 86336588118400 90880619072000 107920735148000 110510832791552 120120470425600 138138540989440 145408990515200 150150588032000 172673176236800 181761238144000 215841470296000 276277081978880 300301176064000 345346352473600 363522476288000 431682940592000 552554163957760 600602352128000 690692704947200 727044952576000 863365881184000 1381385409894400 1726731762368000 2762770819788800 3453463524736000 6906927049472000 13813854098944000
- Sum of all divisors σ(n): 38126202371712000
- Sum of proper divisors (its aliquot sum) s(n): 24312348272768000
- 13813854098944000 is an abundant number, because the sum of its proper divisors (24312348272768000) is greater than itself. Its abundance is 10498494173824000
Bases of 13813854098944000
- Binary: 1100010001001110100000100010101000101111110000000000002
- Hexadecimal: 0x3113A08A8BF000
- Base-36: 3S0LOYRD8N4
Squares and roots of 13813854098944000
- 13813854098944000 squared (138138540989440002) is 190822565066911950141915136000000
- 13813854098944000 cubed (138138540989440003) is 2635995072620569788096230963935795216384000000000
-
The
square root of 13813854098944000 is 117532353.4136196901 -
The
cube root of 13813854098944000 is 239941.2709247193
Scales and comparisons
How big is 13813854098944000?- 13,813,854,098,944,000 seconds is equal to 439,237,831 years, 15 weeks, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 13,813,854,098,944,000 would take you about one billion, three hundred seventeen million, seven hundred thirteen thousand, four hundred ninety-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 13813854098944000 cubic inches would be around 19995.1 feet tall.
Recreational maths with 13813854098944000
- 13813854098944000 backwards is 00044989045831831
- The number of decimal digits it has is: 17
- The sum of 13813854098944000's digits is 67
- More coming soon!
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The information we have on file for 13813854098944000 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!
Keywords: Divisors of 13813854098944000, math, Factors of 13813854098944000, curriculum, school, college, exams, university, Prime factorization of 13813854098944000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, eight hundred thirteen trillion, eight hundred fifty-four billion, ninety-eight million, nine hundred forty-four thousand.