13538284423872000
13,538,284,423,872,000 is an even composite number composed of six prime numbers multiplied together.
13538284423872000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 13538284423872000:
29 × 3 × 53 × 13 × 661 × 8205737
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 661 × 8205737)See below for interesting mathematical facts about the number 13538284423872000 from the Numbermatics database.
Names of 13538284423872000
- Cardinal: 13538284423872000 can be written as Thirteen quadrillion, five hundred thirty-eight trillion, two hundred eighty-four billion, four hundred twenty-three million, eight hundred seventy-two thousand.
Scientific notation
- Scientific notation: 1.3538284423872 × 1016
Factors of 13538284423872000
Divisors of 13538284423872000
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 120 125 128 130 150 156 160 192 195 200 208 240 250 256 260 300 312 320 325 375 384 390 400 416 480 500 512 520 600 624 640 650 661 750 768 780 800 832 960 975 1000 1040 1200 1248 1280 1300 1322 1500 1536 1560 1600 1625 1664 1920 1950 1983 2000 2080 2400 2496 2560 2600 2644 3000 3120 3200 3250 3305 3328 3840 3900 3966 4000 4160 4800 4875 4992 5200 5288 6000 6240 6400 6500 6610 6656 7680 7800 7932 8000 8320 8593 9600 9750 9915 9984 10400 10576 12000 12480 12800 13000 13220 15600 15864 16000 16525 16640 17186 19200 19500 19830 19968 20800 21152 24000 24960 25779 26000 26440 31200 31728 32000 33050 33280 34372 38400 39000 39660 41600 42304 42965 48000 49575 49920 51558 52000 52880 62400 63456 64000 66100 68744 78000 79320 82625 83200 84608 85930 96000 99150 99840 103116 104000 105760 124800 126912 128895 132200 137488 156000 158640 165250 166400 169216 171860 192000 198300 206232 208000 211520 214825 247875 249600 253824 257790 264400 274976 312000 317280 330500 338432 343720 396600 412464 416000 423040 429650 495750 499200 507648 515580 528800 549952 624000 634560 644475 661000 687440 793200 824928 832000 846080 859300 991500 1015296 1031160 1057600 1074125 1099904 1248000 1269120 1288950 1322000 1374880 1586400 1649856 1692160 1718600 1983000 2062320 2115200 2148250 2199808 2496000 2538240 2577900 2644000 2749760 3172800 3222375 3299712 3437200 3966000 4124640 4230400 4296500 4399616 5076480 5155800 5288000 5499520 6345600 6444750 6599424 6874400 7932000 8205737 8249280 8460800 8593000 10311600 10576000 10999040 12691200 12889500 13198848 13748800 15864000 16411474 16498560 17186000 20623200 21152000 21998080 24617211 25382400 25779000 27497600 31728000 32822948 32997120 34372000 41028685 41246400 42304000 49234422 51558000 54995200 63456000 65645896 65994240 68744000 82057370 82492800 98468844 103116000 106674581 109990400 123086055 126912000 131291792 137488000 164114740 164985600 196937688 205143425 206232000 213349162 246172110 262583584 274976000 320023743 328229480 329971200 393875376 410286850 412464000 426698324 492344220 525167168 533372905 549952000 615430275 640047486 656458960 787750752 820573700 824928000 853396648 984688440 1025717125 1050334336 1066745810 1230860550 1280094972 1312917920 1575501504 1600118715 1641147400 1649856000 1706793296 1969376880 2051434250 2100668672 2133491620 2461721100 2560189944 2625835840 2666864525 3077151375 3151003008 3200237430 3282294800 3413586592 3938753760 4102868500 4201337344 4266983240 4923442200 5120379888 5251671680 5333729050 5423992157 6154302750 6302006016 6400474860 6564589600 6827173184 7877507520 8000593575 8205737000 8533966480 9846884400 10240759776 10503343360 10667458100 10847984314 12308605500 12604012032 12800949720 13129179200 13334322625 13654346368 15755015040 16001187150 16271976471 16411474000 17067932960 19693768800 20481519552 21006686720 21334916200 21695968628 24617211000 25601899440 26258358400 26668645250 27119960785 27308692736 31510030080 32002374300 32543952942 32822948000 34135865920 39387537600 40002967875 40963039104 42669832400 43391937256 49234422000 51203798880 52516716800 53337290500 54239921570 54617385472 63020060160 64004748600 65087905884 65645896000 68271731840 70511898041 78775075200 80005935750 81359882355 81926078208 85339664800 86783874512 98468844000 102407597760 105033433600 106674581000 108479843140 128009497200 130175811768 131291792000 135599803925 136543463680 141023796082 157550150400 160011871500 162719764710 163852156416 170679329600 173567749024 196937688000 204815195520 211535694123 213349162000 216959686280 256018994400 260351623536 262583584000 271199607850 273086927360 282047592164 315100300800 320023743000 325439529420 341358659200 347135498048 352559490205 393875376000 406799411775 409630391040 423071388246 426698324000 433919372560 512037988800 520703247072 525167168000 542399215700 564095184328 640047486000 650879058840 677999019625 682717318400 694270996096 705118980410 787750752000 813598823550 819260782080 846142776492 853396648000 867838745120 1024075977600 1041406494144 1057678470615 1084798431400 1128190368656 1280094972000 1301758117680 1355998039250 1365434636800 1388541992192 1410237960820 1575501504000 1627197647100 1692285552984 1706793296000 1735677490240 1762797451025 2033997058875 2048151955200 2082812988288 2115356941230 2169596862800 2256380737312 2560189944000 2603516235360 2711996078500 2777083984384 2820475921640 3254395294200 3384571105968 3413586592000 3471354980480 3525594902050 4067994117750 4096303910400 4165625976576 4230713882460 4339193725600 4512761474624 5120379888000 5207032470720 5288392353075 5423992157000 5640951843280 6508790588400 6769142211936 6827173184000 6942709960960 7051189804100 8135988235500 8331251953152 8461427764920 8678387451200 8813987255125 9025522949248 10240759776000 10414064941440 10576784706150 10847984314000 11281903686560 13017581176800 13538284423872 13885419921920 14102379608200 16271976471000 16922855529840 17356774902400 17627974510250 18051045898496 20481519552000 20828129882880 21153569412300 21695968628000 22563807373120 26035162353600 26441961765375 27076568847744 28204759216400 32543952942000 33845711059680 34713549804800 35255949020500 36102091796992 41656259765760 42307138824600 43391937256000 45127614746240 52070324707200 52883923530750 54153137695488 56409518432800 65087905884000 67691422119360 69427099609600 70511898041000 84614277649200 86783874512000 90255229492480 104140649414400 105767847061500 108306275390976 112819036865600 130175811768000 135382844238720 141023796082000 169228555298400 173567749024000 180510458984960 208281298828800 211535694123000 225638073731200 260351623536000 270765688477440 282047592164000 338457110596800 347135498048000 423071388246000 451276147462400 520703247072000 541531376954880 564095184328000 676914221193600 846142776492000 902552294924800 1041406494144000 1128190368656000 1353828442387200 1692285552984000 2256380737312000 2707656884774400 3384571105968000 4512761474624000 6769142211936000 13538284423872000
- Sum of all divisors σ(n): 48547167376675968
- Sum of proper divisors (its aliquot sum) s(n): 35008882952803968
- 13538284423872000 is an abundant number, because the sum of its proper divisors (35008882952803968) is greater than itself. Its abundance is 21470598528931968
Bases of 13538284423872000
- Binary: 1100000001100011111111011110011111001111111110000000002
- Hexadecimal: 0x3018FF79F3FE00
- Base-36: 3PAX605TT6O
Squares and roots of 13538284423872000
- 13538284423872000 squared (135382844238720002) is 183285145141655210963472384000000
- 13538284423872000 cubed (135382844238720003) is 2481366425598389517587080342258022350848000000000
-
The
square root of 13538284423872000 is 116354133.6776308949 -
The
cube root of 13538284423872000 is 238335.0295616737
Scales and comparisons
How big is 13538284423872000?- 13,538,284,423,872,000 seconds is equal to 430,475,568 years, 5 days, 18 hours, 40 minutes.
-
To count from 1 to 13,538,284,423,872,000 would take you about one billion, two hundred ninety-one million, four hundred twenty-six thousand, seven hundred 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 13538284423872000 cubic inches would be around 19861.3 feet tall.
Recreational maths with 13538284423872000
- 13538284423872000 backwards is 00027832448283531
- 13538284423872000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13538284423872000's digits is 60
- More coming soon!
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