13988354362416000
13,988,354,362,416,000 is an even composite number composed of seven prime numbers multiplied together.
13988354362416000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 13988354362416000:
27 × 33 × 53 × 7 × 137 × 439 × 76913
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 137 × 439 × 76913)See below for interesting mathematical facts about the number 13988354362416000 from the Numbermatics database.
Names of 13988354362416000
- Cardinal: 13988354362416000 can be written as Thirteen quadrillion, nine hundred eighty-eight trillion, three hundred fifty-four billion, three hundred sixty-two million, four hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.3988354362416 × 1016
Factors of 13988354362416000
Divisors of 13988354362416000
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 70 72 75 80 84 90 96 100 105 108 112 120 125 126 128 135 137 140 144 150 160 168 175 180 189 192 200 210 216 224 225 240 250 252 270 274 280 288 300 315 320 336 350 360 375 378 384 400 411 420 432 439 448 450 480 500 504 525 540 548 560 576 600 630 640 672 675 685 700 720 750 756 800 822 840 864 875 878 896 900 945 959 960 1000 1008 1050 1080 1096 1120 1125 1152 1200 1233 1260 1317 1344 1350 1370 1400 1440 1500 1512 1575 1600 1644 1680 1728 1750 1756 1800 1890 1918 1920 2000 2016 2055 2100 2160 2192 2195 2240 2250 2400 2466 2520 2625 2634 2688 2700 2740 2800 2877 2880 3000 3024 3073 3150 3200 3288 3360 3375 3425 3456 3500 3512 3600 3699 3780 3836 3951 4000 4032 4110 4200 4320 4384 4390 4480 4500 4725 4795 4800 4932 5040 5250 5268 5400 5480 5600 5754 5760 6000 6048 6146 6165 6300 6576 6585 6720 6750 6850 7000 7024 7200 7398 7560 7672 7875 7902 8000 8064 8220 8400 8631 8640 8768 8780 9000 9219 9450 9590 9600 9864 10080 10275 10500 10536 10800 10960 10975 11200 11508 11853 12000 12096 12292 12330 12600 13152 13170 13440 13500 13700 14000 14048 14385 14400 14796 15120 15344 15365 15750 15804 16000 16440 16800 17125 17262 17280 17536 17560 18000 18438 18495 18900 19180 19728 19755 20160 20550 21000 21072 21600 21920 21950 22400 23016 23625 23706 23975 24000 24192 24584 24660 25200 25893 26304 26340 27000 27400 27657 28000 28096 28770 28800 29592 30240 30688 30730 30825 31500 31608 32880 32925 33600 34250 34524 35120 36000 36876 36990 37800 38360 39456 39510 40320 41100 42000 42144 43155 43200 43840 43900 46032 46095 47250 47412 47950 48000 49168 49320 50400 51375 51786 52608 52680 54000 54800 54875 55314 56000 56192 57540 59184 59265 60143 60480 61376 61460 61650 63000 63216 65760 65850 67200 68500 69048 70240 71925 72000 73752 73980 75600 76720 76825 76913 78912 79020 82200 82971 84000 84288 86310 86400 87680 87800 92064 92190 92475 94500 94824 95900 98336 98640 98775 100800 102750 103572 105360 108000 109600 109750 110628 112000 115080 118368 118530 119875 120286 120960 122752 122920 123300 126000 126432 129465 131520 131700 137000 138096 138285 140480 143850 144000 147504 147960 151200 153440 153650 153826 154125 157824 158040 164400 164625 165942 168000 168576 172620 175600 180429 184128 184380 184950 189000 189648 191800 196672 197280 197550 201600 205500 207144 210720 215775 216000 219200 219500 221256 230160 230475 230739 236736 237060 239750 240572 245840 246600 252000 252864 258930 263040 263400 274000 276192 276570 280960 287700 295008 295920 296325 300715 302400 306880 307300 307652 308250 316080 328800 329250 331884 336000 345240 351200 359625 360858 368256 368760 369900 378000 379296 383600 384125 384565 393344 394560 395100 411000 414288 414855 421001 421440 431550 432000 438400 439000 442512 460320 460950 461478 462375 473472 474120 479500 481144 491680 493200 493875 504000 505728 517860 526800 538391 541287 548000 552384 553140 575400 590016 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1274565317760 1276309704600 1295217996520 1327672206000 1332224224992 1361397018240 1387733567700 1418121894000 1457120246085 1458639662400 1480249138880 1517339664000 1554261595824 1593206647200 1595387130750 1619022495650 1620710736000 1665280281240 1701746272800 1734666959625 1748544295302 1770229608000 1776298966656 1823299578000 1850311423600 1890829192000 1942826994780 1991508309000 1998336337488 2042095527360 2072348794432 2081600351550 2124275529600 2127182841000 2220373708320 2268995030400 2276009496000 2312889279500 2331392393736 2428533743475 2431066104000 2497920421860 2552619409200 2590435993040 2655344412000 2664448449984 2775467135400 2836243788000 2914240492170 2917279324800 2960498277760 3108523191648 3122400527325 3186413294400 3190774261500 3238044991300 3330560562480 3403492545600 3469333919250 3497088590604 3540459216000 3646599156000 3700622847200 3781658384000 3885653989560 3983016618000 3996672674976 4047556239125 4084191054720 4144697588864 4163200703100 4254365682000 4371360738255 4440747416640 4552018992000 4625778559000 4662784787472 4857067486950 4862132208000 4995840843720 5105238818400 5180871986080 5204000878875 5310688824000 5328896899968 5550934270800 5672487576000 5828480984340 6217046383296 6244801054650 6372826588800 6381548523000 6476089982600 6661121124960 6806985091200 6938667838500 6994177181208 7285601230425 7293198312000 7401245694400 7771307979120 7966033236000 7993345349952 8095112478250 8326401406200 8508731364000 8742721476510 8881494833280 9251557118000 9325569574944 9714134973900 9991681687440 10210477636800 10361743972160 10408001757750 10621377648000 11101868541600 11344975152000 11656961968680 12142668717375 12434092766592 12489602109300 12763097046000 12952179965200 13322242249920 13877335677000 13988354362416 14571202460850 14586396624000 14802491388800 15542615958240 15612002636625 15932066472000 15986690699904 16190224956500 16652802812400 17017462728000 17485442953020 18503114236000 18651139149888 19428269947800 19983363374880 20420955273600 20723487944320 20816003515500 21856803691275 22203737083200 23313923937360 24285337434750 24979204218600 25526194092000 25904359930400 26644484499840 27754671354000 27976708724832 29142404921700 31085231916480 31224005273250 31864132944000 32380449913000 33305605624800 34034925456000 34970885906040 36428006152125 37006228472000 37302278299776 38856539895600 39966726749760 41632007031000 43713607382550 44407474166400 46627847874720 48570674869500 49958408437200 51052388184000 51808719860800 55509342708000 55953417449664 58284809843400 62170463832960 62448010546500 64760899826000 66611211249600 69941771812080 72856012304250 74012456944000 77713079791200 79933453499520 83264014062000 87427214765100 93255695749440 97141349739000 99916816874400 102104776368000 103617439721600 109284018456375 111018685416000 111906834899328 116569619686800 124896021093000 129521799652000 133222422499200 139883543624160 145712024608500 155426159582400 166528028124000 174854429530200 186511391498880 194282699478000 199833633748800 218568036912750 222037370832000 233139239373600 249792042186000 259043599304000 279767087248320 291424049217000 310852319164800 333056056248000 349708859060400 388565398956000 399667267497600 437136073825500 466278478747200 499584084372000 518087198608000 559534174496640 582848098434000 666112112496000 699417718120800 777130797912000 874272147651000 932556957494400 999168168744000 1165696196868000 1398835436241600 1554261595824000 1748544295302000 1998336337488000 2331392393736000 2797670872483200 3497088590604000 4662784787472000 6994177181208000 13988354362416000
- Sum of all divisors σ(n): 59450008071168000
- Sum of proper divisors (its aliquot sum) s(n): 45461653708752000
- 13988354362416000 is an abundant number, because the sum of its proper divisors (45461653708752000) is greater than itself. Its abundance is 31473299346336000
Bases of 13988354362416000
- Binary: 1100011011001001010101100011001100001110011011100000002
- Hexadecimal: 0x31B2558CC39B80
- Base-36: 3TQGHA2RXC0
Squares and roots of 13988354362416000
- 13988354362416000 squared (139883543624160002) is 195674057768522737873357056000000
- 13988354362416000 cubed (139883543624160003) is 2737158059597955434658662236836394807296000000000
-
The
square root of 13988354362416000 is 118272373.6229894051 -
The
cube root of 13988354362416000 is 240947.3801569345
Scales and comparisons
How big is 13988354362416000?- 13,988,354,362,416,000 seconds is equal to 444,786,399 years, 47 weeks.
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To count from 1 to 13,988,354,362,416,000 would take you about one billion, three hundred thirty-four million, three hundred fifty-nine thousand, one hundred ninety-nine 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 13988354362416000 cubic inches would be around 20078.9 feet tall.
Recreational maths with 13988354362416000
- 13988354362416000 backwards is 00061426345388931
- 13988354362416000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13988354362416000's digits is 63
- More coming soon!
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The information we have on file for 13988354362416000 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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