5138135728128000
5,138,135,728,128,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 5138135728128000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 4608 divisors.
5138135728128000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand, six hundred eight divisors.
Prime factorization of 5138135728128000:
217 × 33 × 53 × 13 × 61 × 97 × 151
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 61 × 97 × 151)See below for interesting mathematical facts about the number 5138135728128000 from the Numbermatics database.
Names of 5138135728128000
- Cardinal: 5138135728128000 can be written as Five quadrillion, one hundred thirty-eight trillion, one hundred thirty-five billion, seven hundred twenty-eight million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 5.138135728128 × 1015
Factors of 5138135728128000
Divisors of 5138135728128000
- Number of divisors d(n): 4608
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 61 64 65 72 75 78 80 90 96 97 100 104 108 117 120 122 125 128 130 135 144 150 151 156 160 180 183 192 194 195 200 208 216 225 234 240 244 250 256 260 270 288 291 300 302 305 312 320 325 351 360 366 375 384 388 390 400 416 432 450 453 468 480 485 488 500 512 520 540 549 576 582 585 600 604 610 624 640 650 675 702 720 732 750 755 768 776 780 793 800 832 864 873 900 906 915 936 960 970 975 976 1000 1024 1040 1080 1098 1125 1152 1164 1170 1200 1208 1220 1248 1261 1280 1300 1350 1359 1404 1440 1455 1464 1500 1510 1525 1536 1552 1560 1586 1600 1625 1647 1664 1728 1746 1755 1800 1812 1830 1872 1920 1940 1950 1952 1963 2000 2048 2080 2160 2196 2250 2265 2304 2328 2340 2379 2400 2416 2425 2440 2496 2522 2560 2600 2619 2700 2718 2745 2808 2880 2910 2925 2928 3000 3020 3050 3072 3104 3120 3172 3200 3250 3294 3328 3375 3456 3492 3510 3600 3624 3660 3744 3775 3783 3840 3880 3900 3904 3926 3965 4000 4077 4096 4160 4320 4365 4392 4500 4530 4575 4608 4656 4680 4758 4800 4832 4850 4875 4880 4992 5044 5120 5200 5238 5400 5436 5490 5616 5760 5820 5850 5856 5889 5917 6000 6040 6100 6144 6208 6240 6305 6344 6400 6500 6588 6656 6750 6795 6912 6984 7020 7137 7200 7248 7275 7320 7488 7550 7566 7625 7680 7760 7800 7808 7852 7930 8000 8154 8192 8235 8320 8640 8730 8775 8784 9000 9060 9150 9211 9216 9312 9360 9516 9600 9664 9700 9750 9760 9815 9984 10088 10240 10400 10476 10800 10872 10980 11232 11325 11349 11520 11640 11700 11712 11778 11834 11895 12000 12080 12125 12200 12288 12416 12480 12610 12688 12800 13000 13095 13176 13312 13500 13590 13725 13824 13968 14040 14274 14400 14496 14550 14625 14640 14647 14976 15100 15132 15250 15360 15520 15600 15616 15704 15860 16000 16308 16384 16470 16640 17280 17460 17550 17568 17667 17751 18000 18120 18300 18422 18432 18624 18720 18875 18915 19032 19200 19328 19400 19500 19520 19630 19825 19968 20176 20385 20480 20800 20952 21411 21600 21744 21825 21960 22464 22650 22698 22875 23040 23280 23400 23424 23556 23668 23790 24000 24160 24250 24400 24576 24832 24960 25220 25376 25600 26000 26190 26352 26624 27000 27180 27450 27633 27648 27936 28080 28548 28800 28992 29100 29250 29280 29294 29445 29585 29952 30200 30264 30500 30720 31040 31200 31232 31408 31525 31720 32000 32616 32768 32940 33280 33975 34047 34560 34920 35100 35136 35334 35502 35685 36000 36240 36375 36600 36844 36864 37248 37440 37750 37830 38064 38400 38656 38800 39000 39040 39260 39650 39936 40352 40770 40960 41175 41600 41904 42822 43200 43488 43650 43875 43920 43941 44928 45300 45396 45750 46055 46080 46560 46800 46848 47112 47336 47580 48000 48320 48500 48800 49075 49152 49664 49920 50440 50752 51200 52000 52380 52704 53001 53248 53253 54000 54360 54900 55266 55296 55872 56160 56625 56745 57096 57600 57984 58200 58500 58560 58588 58890 59170 59475 59904 60400 60528 61000 61440 62080 62400 62464 62816 63050 63440 64000 65232 65475 65536 65880 66560 67950 68094 68625 69120 69840 70200 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1559846912000 1580964839424 1605667415040 1619841024000 1646838374400 1655327232000 1672570224000 1684634664960 1701369446400 1712711909376 1754827776000 1756627599360 1765682380800 1784074905600 1829820416000 1871816294400 1890410496000 1903013232640 1961869312000 1976206049280 2007084268800 2037325824000 2058547968000 2105793331200 2118818856960 2126711808000 2140889886720 2159788032000 2195784499200 2207102976000 2230093632000 2268492595200 2283615879168 2339770368000 2378766540800 2470257561600 2508855336000 2569067864064 2617491456000 2632241664000 2634941399040 2648523571200 2676112358400 2744730624000 2807724441600 2835615744000 2854519848960 2927712665600 2942803968000 2973458176000 3087821952000 3119693824000 3161929678848 3211334830080 3239682048000 3293676748800 3310654464000 3345140448000 3369269329920 3402738892800 3425423818752 3509655552000 3531364761600 3568149811200 3659640832000 3780820992000 3806026465280 3952412098560 4014168537600 4074651648000 4117095936000 4211586662400 4253423616000 4281779773440 4391568998400 4414205952000 4460187264000 4567231758336 4679540736000 4757533081600 4940515123200 5017710672000 5138135728128 5264483328000 5269882798080 5297047142400 5352224716800 5489461248000 5615448883200 5671231488000 5709039697920 5885607936000 5946916352000 6175643904000 6422669660160 6479364096000 6587353497600 6621308928000 6690280896000 6805477785600 6850847637504 7019311104000 7136299622400 7319281664000 7612052930560 7904824197120 8028337075200 8234191872000 8423173324800 8506847232000 8563559546880 8783137996800 8828411904000 8920374528000 9359081472000 9515066163200 9881030246400 10035421344000 10276271456256 10528966656000 10594094284800 10704449433600 10978922496000 11342462976000 11418079395840 11893832704000 12351287808000 12845339320320 13174706995200 13242617856000 13380561792000 13701695275008 14038622208000 14272599244800 14638563328000 15809648394240 16056674150400 16468383744000 16846346649600 17013694464000 17127119093760 17656823808000 17840749056000 19030132326400 19762060492800 20070842688000 20552542912512 21057933312000 21408898867200 21957844992000 22836158791680 23787665408000 24702575616000 25690678640640 26349413990400 26485235712000 26761123584000 28077244416000 28545198489600 32113348300800 32936767488000 34027388928000 34254238187520 35681498112000 38060264652800 39524120985600 40141685376000 41105085825024 42115866624000 42817797734400 43915689984000 47575330816000 49405151232000 51381357281280 52970471424000 53522247168000 57090396979200 64226696601600 65873534976000 68508476375040 71362996224000 79048241971200 80283370752000 84231733248000 85635595468800 95150661632000 98810302464000 102762714562560 107044494336000 114180793958400 128453393203200 131747069952000 142725992448000 160566741504000 171271190937600 190301323264000 197620604928000 205525429125120 214088988672000 256906786406400 285451984896000 321133483008000 342542381875200 395241209856000 428177977344000 513813572812800 570903969792000 642266966016000 856355954688000 1027627145625600 1284533932032000 1712711909376000 2569067864064000 5138135728128000
- Sum of all divisors σ(n): 21150091167528960
- Sum of proper divisors (its aliquot sum) s(n): 16011955439400960
- 5138135728128000 is an abundant number, because the sum of its proper divisors (16011955439400960) is greater than itself. Its abundance is 10873819711272960
Bases of 5138135728128000
- Binary: 100100100000100011011011100101110001000000000000000002
- Hexadecimal: 0x12411B72E20000
- Base-36: 1ELBEYTSLC0
Squares and roots of 5138135728128000
- 5138135728128000 squared (51381357281280002) is 26400438760665452730384384000000
- 5138135728128000 cubed (51381357281280003) is 135649037634430459890648332553160753152000000000
-
The
square root of 5138135728128000 is 71680790.5099267163 -
The
cube root of 5138135728128000 is 172558.0366574113
Scales and comparisons
How big is 5138135728128000?- 5,138,135,728,128,000 seconds is equal to 163,376,822 years, 44 weeks, 4 days.
-
To count from 1 to 5,138,135,728,128,000 would take you about four hundred ninety million, one hundred thirty thousand, four hundred sixty-eight 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 5138135728128000 cubic inches would be around 14379.8 feet tall.
Recreational maths with 5138135728128000
- 5138135728128000 backwards is 0008218275318315
- 5138135728128000 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 5138135728128000's digits is 54
- More coming soon!
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The information we have on file for 5138135728128000 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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