13478741248000
13,478,741,248,000 is an even composite number composed of six prime numbers multiplied together.
13478741248000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13478741248000:
211 × 53 × 72 × 37 × 113 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 37 × 113 × 257)See below for interesting mathematical facts about the number 13478741248000 from the Numbermatics database.
Names of 13478741248000
- Cardinal: 13478741248000 can be written as Thirteen trillion, four hundred seventy-eight billion, seven hundred forty-one million, two hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.3478741248 × 1013
Factors of 13478741248000
Divisors of 13478741248000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 37 40 49 50 56 64 70 74 80 98 100 112 113 125 128 140 148 160 175 185 196 200 224 226 245 250 256 257 259 280 296 320 350 370 392 400 448 452 490 500 512 514 518 560 565 592 640 700 740 784 791 800 875 896 904 925 980 1000 1024 1028 1036 1120 1130 1184 1225 1280 1285 1295 1400 1480 1568 1582 1600 1750 1792 1799 1808 1813 1850 1960 2000 2048 2056 2072 2240 2260 2368 2450 2560 2570 2590 2800 2825 2960 3136 3164 3200 3500 3584 3598 3616 3626 3700 3920 3955 4000 4112 4144 4181 4480 4520 4625 4736 4900 5120 5140 5180 5537 5600 5650 5920 6125 6272 6328 6400 6425 6475 7000 7168 7196 7232 7252 7400 7840 7910 8000 8224 8288 8362 8960 8995 9040 9065 9250 9472 9509 9800 10240 10280 10360 11074 11200 11300 11840 12250 12544 12593 12656 12800 12850 12950 14000 14125 14336 14392 14464 14504 14800 15680 15820 16000 16448 16576 16724 17920 17990 18080 18130 18500 18944 19018 19600 19775 20560 20720 20905 22148 22400 22600 23680 24500 25088 25186 25312 25600 25700 25900 27685 28000 28250 28784 28928 29008 29041 29267 29600 31360 31640 32000 32125 32375 32896 33152 33448 35840 35980 36160 36260 37000 37888 38036 39200 39550 41120 41440 41810 44296 44800 44975 45200 45325 47360 47545 49000 50176 50372 50624 51200 51400 51800 55370 56000 56500 57568 57856 58016 58082 58534 59200 62720 62965 63280 64000 64250 64750 65792 66304 66563 66896 71680 71960 72320 72520 74000 75776 76072 78400 79100 82240 82880 83620 88592 89600 89950 90400 90650 94720 95090 98000 98875 100352 100744 101248 102800 103600 104525 110740 112000 113000 115136 115712 116032 116164 117068 118400 125440 125930 126560 128000 128500 129500 131584 132608 133126 133792 138425 143920 144640 145040 145205 146335 148000 152144 156800 158200 164480 165760 167240 177184 179200 179900 180800 181300 189440 190180 196000 197750 201488 202496 203287 204869 205600 207200 209050 221480 224000 224875 226000 226625 230272 231424 232064 232328 234136 236800 237725 250880 251860 253120 256000 257000 259000 263168 265216 266252 267584 276850 287840 289280 290080 290410 292670 296000 304288 313600 314825 316400 328960 331520 332815 334480 354368 358400 359800 361600 362600 378880 380360 392000 395500 402976 404992 406574 409738 411200 414400 418100 442960 448000 449750 452000 453250 460544 464128 464656 465941 468272 473600 475450 501760 503720 506240 514000 518000 522625 526336 530432 532504 535168 553700 575680 578560 580160 580820 585340 592000 608576 627200 629650 632800 657920 663040 665630 668960 692125 708736 719600 723200 725200 726025 731675 760720 784000 791000 805952 809984 813148 819476 822400 828800 836200 885920 896000 899500 904000 906500 921088 928256 929312 931882 936544 947200 950900 1007440 1012480 1016435 1024345 1028000 1036000 1045250 1065008 1070336 1074517 1107400 1151360 1157120 1160320 1161640 1170680 1184000 1188625 1217152 1254400 1259300 1265600 1315840 1326080 1331260 1337920 1384250 1417472 1423009 1439200 1446400 1450400 1452050 1463350 1521440 1568000 1574125 1582000 1611904 1619968 1626296 1638952 1644800 1657600 1664075 1672400 1771840 1792000 1799000 1808000 1813000 1842176 1856512 1858624 1863764 1873088 1894400 1901800 2014880 2024960 2032870 2048690 2056000 2072000 2090500 2130016 2140672 2149034 2214800 2302720 2320640 2323280 2329705 2341360 2368000 2377250 2434304 2508800 2518600 2531200 2631680 2652160 2662520 2675840 2768500 2834944 2846018 2878400 2892800 2900800 2904100 2926700 3042880 3136000 3148250 3164000 3223808 3252592 3277904 3289600 3315200 3328150 3344800 3543680 3598000 3616000 3626000 3630125 3658375 3684352 3713024 3717248 3727528 3746176 3803600 4029760 4049920 4065740 4097380 4112000 4144000 4181000 4260032 4281344 4298068 4429600 4605440 4641280 4646560 4659410 4682720 4736000 4754500 4868608 5037200 5062400 5082175 5121725 5325040 5351680 5372585 5537000 5669888 5692036 5756800 5785600 5801600 5808200 5853400 6085760 6272000 6296500 6328000 6447616 6505184 6555808 6579200 6630400 6656300 6689600 7087360 7115045 7196000 7232000 7252000 7260250 7316750 7434496 7455056 7492352 7521619 7607200 8059520 8099840 8131480 8194760 8224000 8288000 8320375 8362000 8520064 8562688 8596136 8859200 9210880 9282560 9293120 9318820 9365440 9472000 9509000 9737216 10074400 10124800 10164350 10243450 10650080 10703360 10745170 11074000 11339776 11384072 11513600 11603200 11616400 11648525 11706800 12171520 12544000 12593000 12656000 12895232 13010368 13111616 13158400 13260800 13312600 13379200 14174720 14230090 14392000 14464000 14504000 14520500 14633500 14868992 14910112 14984704 15043238 15214400 16119040 16262960 16389520 16448000 16576000 16640750 16724000 17040128 17192272 17718400 18421760 18565120 18586240 18637640 18730880 19018000 19474432 20148800 20249600 20328700 20486900 21300160 21406720 21490340 22148000 22768144 23027200 23206400 23232800 23297050 23413600 24343040 25186000 25312000 25410875 25608625 25790464 26020736 26223232 26625200 26758400 26862925 28349440 28460180 28784000 28928000 29008000 29041000 29267000 29737984 29820224 29969408 30086476 30428800 32238080 32525920 32779040 32896000 33152000 33281500 33448000 34080256 34384544 35436800 35575225 37172480 37275280 37461760 37608095 38036000 40297600 40499200 40657400 40973800 42600320 42813440 42980680 44296000 45536288 46054400 46412800 46465600 46594100 46827200 48686080 50372000 50624000 50821750 51217250 52041472 52446464 52651333 53250400 53516800 53725850 56698880 56920360 57568000 58016000 58082000 58242625 58534000 59475968 59640448 59938816 60172952 60857600 64476160 65051840 65558080 65792000 66304000 66563000 66896000 68160512 68769088 70873600 71150450 74344960 74550560 74923520 75216190 76072000 80595200 81314800 81947600 85200640 85961360 88592000 91072576 92108800 92825600 92931200 93188200 93654400 97372160 100744000 101248000 101643500 102434500 104082944 104892928 105302666 106500800 107033600 107451700 113840720 115136000 116032000 116164000 116485250 117068000 119280896 120345904 121715200 128952320 130103680 131116160 133126000 133792000 134314625 136321024 137538176 141747200 142300900 148689920 149101120 149847040 150432380 152144000 161190400 162629600 163895200 170401280 171922720 177184000 177876125 182145152 185862400 186376400 187308800 188040475 201488000 202496000 203287000 204869000 208165888 209785856 210605332 213001600 214067200 214903400 227681440 230272000 232064000 232328000 232970500 234136000 238561792 240691808 243430400 260207360 262232320 263256665 266252000 267584000 268629250 275076352 283494400 284601800 297379840 298202240 299694080 300864760 304288000 322380800 325259200 327790400 340802560 343845440 354368000 355752250 364290304 371724800 372752800 374617600 376080950 402976000 406574000 409738000 416331776 419571712 421210664 426003200 429806800 455362880 460544000 464128000 464656000 465941000 468272000 477123584 481383616 486860800 520414720 524464640 526513330 532504000 535168000 537258500 550152704 569203600 596404480 601729520 608576000 644761600 650518400 655580800 681605120 687690880 708736000 711504500 728580608 743449600 745505600 749235200 752161900 805952000 813148000 819476000 842421328 852006400 859613600 910725760 929312000 931882000 936544000 940202375 954247168 962767232 1040829440 1048929280 1053026660 1065008000 1070336000 1074517000 1100305408 1138407200 1192808960 1203459040 1217152000 1301036800 1311161600 1316283325 1375381760 1417472000 1423009000 1457161216 1486899200 1491011200 1498470400 1504323800 1611904000 1626296000 1638952000 1684842656 1704012800 1719227200 1821451520 1858624000 1863764000 1873088000 1880404750 1925534464 2081658880 2097858560 2106053320 2130016000 2149034000 2200610816 2276814400 2385617920 2406918080 2434304000 2602073600 2622323200 2632566650 2750763520 2846018000 2914322432 2982022400 3008647600 3223808000 3252592000 3277904000 3369685312 3408025600 3438454400 3642903040 3717248000 3727528000 3746176000 3760809500 3851068928 4212106640 4260032000 4298068000 4553628800 4771235840 4813836160 5204147200 5244646400 5265133300 5501527040 5692036000 5964044800 6017295200 6505184000 6555808000 6581416625 6739370624 6876908800 7285806080 7434496000 7455056000 7492352000 7521619000 7702137856 8424213280 8520064000 8596136000 9107257600 9627672320 10408294400 10489292800 10530266600 11003054080 11384072000 11928089600 12034590400 13010368000 13111616000 13162833250 13478741248 13753817600 14571612160 14910112000 15043238000 15404275712 16848426560 17040128000 17192272000 18214515200 19255344640 21060533200 22768144000 23856179200 24069180800 26020736000 26223232000 26325666500 26957482496 27507635200 29820224000 30086476000 33696853120 34384544000 36429030400 38510689280 42121066400 45536288000 48138361600 52041472000 52446464000 52651333000 53914964992 55015270400 59640448000 60172952000 67393706240 68769088000 72858060800 77021378560 84242132800 91072576000 96276723200 105302666000 107829929984 119280896000 120345904000 134787412480 137538176000 168484265600 182145152000 192553446400 210605332000 240691808000 269574824960 275076352000 336968531200 364290304000 385106892800 421210664000 481383616000 539149649920 673937062400 842421328000 962767232000 1347874124800 1684842656000 1925534464000 2695748249600 3369685312000 6739370624000 13478741248000
- Sum of all divisors σ(n): 40696917337440
- Sum of proper divisors (its aliquot sum) s(n): 27218176089440
- 13478741248000 is an abundant number, because the sum of its proper divisors (27218176089440) is greater than itself. Its abundance is 13739434841440
Bases of 13478741248000
- Binary: 110001000010010000111001010110001000000000002
- Hexadecimal: 0xC4243958800
- Base-36: 4S01QJ0N4
Squares and roots of 13478741248000
- 13478741248000 squared (134787412480002) is 181676465630536597504000000
- 13478741248000 cubed (134787412480003) is 2448770071085167965150738644992000000000
-
The
square root of 13478741248000 is 3671340.5246585341 -
The
cube root of 13478741248000 is 23798.5106334433
Scales and comparisons
How big is 13478741248000?- 13,478,741,248,000 seconds is equal to 428,582 years, 14 weeks, 3 days, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 13,478,741,248,000 would take you about one million, seventy-one thousand, four hundred fifty-five 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 13478741248000 cubic inches would be around 1983.2 feet tall.
Recreational maths with 13478741248000
- 13478741248000 backwards is 00084214787431
- 13478741248000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13478741248000's digits is 49
- More coming soon!
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The information we have on file for 13478741248000 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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