13940657319168000
13,940,657,319,168,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13940657319168000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2880 divisors.
13940657319168000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 13940657319168000:
211 × 32 × 53 × 19 × 23 × 614
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 19 × 23 × 61 × 61 × 61 × 61)See below for interesting mathematical facts about the number 13940657319168000 from the Numbermatics database.
Names of 13940657319168000
- Cardinal: 13940657319168000 can be written as Thirteen quadrillion, nine hundred forty trillion, six hundred fifty-seven billion, three hundred nineteen million, one hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.3940657319168 × 1016
Factors of 13940657319168000
Divisors of 13940657319168000
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 23 24 25 30 32 36 38 40 45 46 48 50 57 60 61 64 69 72 75 76 80 90 92 95 96 100 114 115 120 122 125 128 138 144 150 152 160 171 180 183 184 190 192 200 207 225 228 230 240 244 250 256 276 285 288 300 304 305 320 342 345 360 366 368 375 380 384 400 414 437 450 456 460 475 480 488 500 512 549 552 570 575 576 600 608 610 640 684 690 720 732 736 750 760 768 800 828 855 874 900 912 915 920 950 960 976 1000 1024 1035 1098 1104 1125 1140 1150 1152 1159 1200 1216 1220 1280 1311 1368 1380 1403 1425 1440 1464 1472 1500 1520 1525 1536 1600 1656 1710 1725 1748 1800 1824 1830 1840 1900 1920 1952 2000 2048 2070 2185 2196 2208 2250 2280 2300 2304 2318 2375 2400 2432 2440 2560 2622 2736 2745 2760 2806 2850 2875 2880 2928 2944 3000 3040 3050 3072 3200 3312 3420 3450 3477 3496 3600 3648 3660 3680 3721 3800 3840 3904 3933 4000 4140 4209 4275 4370 4392 4416 4500 4560 4575 4600 4608 4636 4750 4800 4864 4880 5120 5175 5244 5472 5490 5520 5612 5700 5750 5760 5795 5856 5888 6000 6080 6100 6144 6400 6555 6624 6840 6900 6954 6992 7015 7125 7200 7296 7320 7360 7442 7600 7625 7680 7808 7866 8000 8280 8418 8550 8625 8740 8784 8832 9000 9120 9150 9200 9216 9272 9500 9600 9728 9760 10240 10350 10431 10488 10925 10944 10980 11040 11163 11224 11400 11500 11520 11590 11712 11776 12000 12160 12200 12627 12800 13110 13248 13680 13725 13800 13908 13984 14030 14250 14400 14592 14640 14720 14884 15200 15250 15360 15616 15732 16000 16560 16836 17100 17250 17385 17480 17568 17664 18000 18240 18300 18400 18432 18544 18605 19000 19200 19456 19520 19665 20700 20862 20976 21045 21375 21850 21888 21960 22080 22326 22448 22800 22875 23000 23040 23180 23424 23552 24000 24320 24400 25254 25600 25875 26220 26496 26657 27360 27450 27600 27816 27968 28060 28500 28800 28975 29184 29280 29440 29768 30400 30500 30720 31232 31464 32000 32775 33120 33489 33672 34200 34500 34770 34960 35075 35136 35328 36000 36480 36600 36800 37088 37210 38000 38400 38912 39040 39330 41400 41724 41952 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5732178174000 5808607216320 5869750450176 6014088576000 6050632517000 6061155356160 6114323385600 6195847697408 6313703496000 6348204608000 6380163532800 6734617062400 6806961581625 6970328659584 7141730184000 7260759020400 7337188062720 7576444195200 7617845529600 7642904232000 7744809621760 7975204416000 8081540474880 8152431180800 8418271328000 8712910824480 9075948775500 9141414635520 9171485078400 9293771546112 9470555244000 9522306912000 9681012027200 9782917416960 9936320256000 10101925593600 10190538976000 10633605888000 10891138530600 11426768294400 11464356348000 11617214432640 12028177152000 12101265034000 12122310712320 12228646771200 12391695394816 12627406992000 12696409216000 13469234124800 13613923163250 13940657319168 14283460368000 14521518040800 14674376125440 15152888390400 15235691059200 15285808464000 15489619243520 15950408832000 16304862361600 16836542656000 17425821648960 18151897551000 18342970156800 18587543092224 18941110488000 19044613824000 19362024054400 20203851187200 20381077952000 21782277061200 22853536588800 22928712696000 23234428865280 24202530068000 24244621424640 24457293542400 25254813984000 25392818432000 27227846326500 27881314638336 28566920736000 29043036081600 29348752250880 30305776780800 30571616928000 30979238487040 31900817664000 33673085312000 34851643297920 36303795102000 36685940313600 37175086184448 37882220976000 38089227648000 38724048108800 40407702374400 40762155904000 43564554122400 45707073177600 45857425392000 46468857730560 48405060136000 48914587084800 50509627968000 54455692653000 55762629276672 57133841472000 58086072163200 60611553561600 61143233856000 61958476974080 67346170624000 69703286595840 72607590204000 73371880627200 75764441952000 76178455296000 77448096217600 81524311808000 87129108244800 91714850784000 92937715461120 96810120272000 101019255936000 108911385306000 111525258553344 114267682944000 116172144326400 121223107123200 122286467712000 139406573191680 145215180408000 146743761254400 151528883904000 154896192435200 174258216489600 183429701568000 185875430922240 193620240544000 202038511872000 217822770612000 228535365888000 232344288652800 244572935424000 278813146383360 290430360816000 303057767808000 309792384870400 348516432979200 366859403136000 387240481088000 435645541224000 464688577305600 557626292766720 580860721632000 606115535616000 697032865958400 733718806272000 774480962176000 871291082448000 929377154611200 1161721443264000 1394065731916800 1548961924352000 1742582164896000 2323442886528000 2788131463833600 3485164329792000 4646885773056000 6970328659584000 13940657319168000
- Sum of all divisors σ(n): 56112680870064000
- Sum of proper divisors (its aliquot sum) s(n): 42172023550896000
- 13940657319168000 is an abundant number, because the sum of its proper divisors (42172023550896000) is greater than itself. Its abundance is 28231366231728000
Bases of 13940657319168000
- Binary: 1100011000011011110100001101110111000111001000000000002
- Hexadecimal: 0x3186F43771C800
- Base-36: 3T9JTK6Q680
Squares and roots of 13940657319168000
- 13940657319168000 squared (139406573191680002) is 194341926490472328620212224000000
- 13940657319168000 cubed (139406573191680003) is 2709254199950612495396734063047063109632000000000
-
The
square root of 13940657319168000 is 118070560.7641803317 -
The
cube root of 13940657319168000 is 240673.2100784619
Scales and comparisons
How big is 13940657319168000?- 13,940,657,319,168,000 seconds is equal to 443,269,781 years, 24 weeks, 1 day, 8 hours.
-
To count from 1 to 13,940,657,319,168,000 would take you about one billion, three hundred twenty-nine million, eight hundred nine thousand, three hundred forty-four 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 13940657319168000 cubic inches would be around 20056.1 feet tall.
Recreational maths with 13940657319168000
- 13940657319168000 backwards is 00086191375604931
- The number of decimal digits it has is: 17
- The sum of 13940657319168000's digits is 63
- More coming soon!
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"Number 13940657319168000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
APA style:
Numbermatics. (2024). Number 13940657319168000 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/13940657319168000/
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Numbermatics. 2024. "Number 13940657319168000 - Facts about the integer". https://numbermatics.com/n/13940657319168000/
The information we have on file for 13940657319168000 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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