13538072576000
13,538,072,576,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13538072576000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
13538072576000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 13538072576000:
214 × 53 × 7 × 61 × 113 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 61 × 113 × 137)See below for interesting mathematical facts about the number 13538072576000 from the Numbermatics database.
Names of 13538072576000
- Cardinal: 13538072576000 can be written as Thirteen trillion, five hundred thirty-eight billion, seventy-two million, five hundred seventy-six thousand.
Scientific notation
- Scientific notation: 1.3538072576 × 1013
Factors of 13538072576000
Divisors of 13538072576000
- Number of divisors d(n): 960
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 61 64 70 80 100 112 113 122 125 128 137 140 160 175 200 224 226 244 250 256 274 280 305 320 350 400 427 448 452 488 500 512 548 560 565 610 640 685 700 791 800 854 875 896 904 959 976 1000 1024 1096 1120 1130 1220 1280 1370 1400 1525 1582 1600 1708 1750 1792 1808 1918 1952 2000 2048 2135 2192 2240 2260 2440 2560 2740 2800 2825 3050 3164 3200 3416 3425 3500 3584 3616 3836 3904 3955 4000 4096 4270 4384 4480 4520 4795 4880 5120 5480 5600 5650 6100 6328 6400 6832 6850 6893 7000 7168 7232 7625 7672 7808 7910 8000 8192 8357 8540 8768 8960 9040 9590 9760 10240 10675 10960 11200 11300 12200 12656 12800 13664 13700 13786 14000 14125 14336 14464 15250 15344 15481 15616 15820 16000 16384 16714 17080 17125 17536 17920 18080 19180 19520 19775 20480 21350 21920 22400 22600 23975 24400 25312 25600 27328 27400 27572 28000 28250 28672 28928 30500 30688 30962 31232 31640 32000 33428 34160 34250 34465 35072 35840 36160 38360 39040 39550 40960 41785 42700 43840 44800 45200 47950 48251 48800 50624 51200 53375 54656 54800 55144 56000 56500 57344 57856 58499 61000 61376 61924 62464 63280 64000 66856 68320 68500 68930 70144 71680 72320 76720 77405 78080 79100 81920 83570 85400 87680 89600 90400 95900 96502 97600 98875 101248 102400 106750 108367 109312 109600 110288 112000 113000 114688 115712 116998 119875 122000 122752 123848 124928 126560 128000 133712 136640 137000 137860 140288 143360 144640 153440 154810 156160 158200 167140 170800 172325 175360 179200 180800 191800 193004 195200 197750 202496 204800 208925 213500 216734 218624 219200 220576 224000 226000 231424 233996 239750 241255 244000 245504 247696 249856 253120 256000 267424 273280 274000 275720 280576 286720 289280 292495 306880 309620 312320 316400 334280 341600 344650 350720 358400 361600 383600 386008 387025 390400 395500 404992 409600 417850 427000 433468 437248 438400 441152 448000 452000 462848 467992 479500 482510 488000 491008 495392 499712 506240 512000 534848 541835 546560 548000 551440 561152 573440 578560 584990 613760 619240 624640 632800 668560 683200 689300 701440 716800 723200 767200 772016 774050 780800 791000 809984 835700 854000 861625 866936 874496 876800 882304 896000 904000 925696 935984 944341 959000 965020 976000 982016 990784 999424 1012480 1024000 1044625 1069696 1083670 1093120 1096000 1102880 1122304 1157120 1169980 1206275 1227520 1238480 1249280 1265600 1337120 1366400 1378600 1402880 1433600 1446400 1462475 1534400 1544032 1548100 1561600 1582000 1619968 1671400 1708000 1723250 1733872 1748992 1753600 1764608 1792000 1808000 1851392 1871968 1888682 1918000 1930040 1935125 1952000 1964032 1981568 2024960 2048000 2089250 2139392 2167340 2186240 2192000 2205760 2244608 2314240 2339960 2412550 2455040 2476960 2498560 2531200 2674240 2709175 2732800 2757200 2805760 2867200 2892800 2924950 3068800 3088064 3096200 3123200 3164000 3239936 3342800 3416000 3446500 3467744 3497984 3507200 3529216 3584000 3616000 3743936 3777364 3836000 3860080 3870250 3904000 3928064 3963136 4049920 4178500 4278784 4334680 4372480 4384000 4411520 4628480 4679920 4721705 4825100 4910080 4953920 4997120 5062400 5348480 5418350 5465600 5514400 5611520 5785600 5849900 6031375 6137600 6176128 6192400 6246400 6328000 6479872 6610387 6685600 6832000 6893000 6935488 6995968 7014400 7058432 7168000 7232000 7312375 7487872 7554728 7672000 7720160 7740500 7808000 7856128 7926272 8099840 8357000 8557568 8669360 8744960 8768000 8823040 9256960 9359840 9443410 9650200 9820160 9907840 10124800 10696960 10836700 10931200 11028800 11223040 11571200 11699800 12062750 12275200 12352256 12384800 12492800 12656000 12959744 13220774 13371200 13545875 13664000 13786000 13870976 14028800 14116864 14336000 14464000 14624750 14975744 15109456 15344000 15440320 15481000 15616000 15712256 15852544 16199680 16714000 17115136 17338720 17489920 17536000 17646080 18719680 18886820 19300400 19640320 19815680 20249600 21393920 21673400 21862400 22057600 23142400 23399600 23608525 24125500 24550400 24704512 24769600 24985600 25312000 26441548 26742400 27091750 27328000 27572000 27741952 28057600 28233728 28928000 29249500 29951488 30218912 30688000 30880640 30962000 31232000 31705088 32399360 33051935 33428000 34230272 34677440 34979840 35072000 35292160 37439360 37773640 38600800 39280640 39631360 40499200 42787840 43346800 43724800 44115200 46284800 46799200 47217050 48251000 49100800 49409024 49539200 50624000 52883096 53484800 54183500 54656000 55144000 55483904 56115200 56467456 57856000 58499000 59902976 60437824 61376000 61761280 61924000 62464000 63410176 64798720 66103870 66856000 68460544 69354880 70144000 70584320 74878720 75547280 77201600 78561280 79262720 80998400 85575680 86693600 87449600 88230400 93598400 94434100 96502000 98201600 98818048 99078400 101248000 105766192 106969600 108367000 109312000 110288000 110967808 112934912 115712000 116998000 118042625 119805952 120875648 122752000 123522560 123848000 124928000 126820352 132207740 133712000 136921088 138709760 140288000 141168640 149757440 151094560 154403200 158525440 161996800 165259675 171151360 173387200 174899200 176460800 187196800 188868200 193004000 196403200 197636096 198156800 202496000 211532384 213939200 216734000 218624000 220576000 221935616 231424000 233996000 236085250 239611904 241751296 245504000 247045120 247696000 253640704 264415480 267424000 277419520 280576000 282337280 299514880 302189120 308806400 317050880 323993600 330519350 342302720 346774400 352921600 374393600 377736400 386008000 392806400 395272192 396313600 404992000 423064768 427878400 433468000 437248000 441152000 443871232 467992000 472170500 479223808 483502592 491008000 494090240 495392000 528830960 534848000 554839040 564674560 599029760 604378240 617612800 634101760 661038700 684605440 693548800 705843200 748787200 755472800 772016000 790544384 792627200 809984000 826298375 846129536 855756800 866936000 874496000 882304000 887742464 935984000 944341000 958447616 967005184 982016000 988180480 990784000 1057661920 1069696000 1109678080 1198059520 1208756480 1235225600 1268203520 1322077400 1387097600 1411686400 1497574400 1510945600 1544032000 1585254400 1619968000 1652596750 1692259072 1711513600 1733872000 1764608000 1775484928 1871968000 1888682000 1934010368 1964032000 1976360960 1981568000 2115323840 2139392000 2219356160 2396119040 2417512960 2470451200 2644154800 2774195200 2823372800 2995148800 3021891200 3088064000 3170508800 3305193500 3384518144 3423027200 3467744000 3529216000 3743936000 3777364000 3868020736 3952721920 3963136000 4230647680 4278784000 4438712320 4792238080 4835025920 4940902400 5288309600 5548390400 5990297600 6043782400 6176128000 6341017600 6610387000 6769036288 6935488000 7058432000 7487872000 7554728000 7736041472 7926272000 8461295360 8557568000 8877424640 9670051840 9881804800 10576619200 11096780800 11980595200 12087564800 12352256000 13220774000 13538072576 13870976000 14116864000 14975744000 15109456000 15472082944 15852544000 16922590720 17115136000 19340103680 19763609600 21153238400 22193561600 23961190400 24175129600 24704512000 26441548000 27076145152 27741952000 29951488000 30218912000 31705088000 33845181440 38680207360 42306476800 44387123200 48350259200 49409024000 52883096000 54152290304 55483904000 59902976000 60437824000 67690362880 77360414720 84612953600 96700518400 98818048000 105766192000 108304580608 110967808000 119805952000 120875648000 135380725760 169225907200 193401036800 211532384000 221935616000 241751296000 270761451520 338451814400 386802073600 423064768000 483502592000 541522903040 676903628800 846129536000 967005184000 1353807257600 1692259072000 1934010368000 2707614515200 3384518144000 6769036288000 13538072576000
- Sum of all divisors σ(n): 39886588594944
- Sum of proper divisors (its aliquot sum) s(n): 26348516018944
- 13538072576000 is an abundant number, because the sum of its proper divisors (26348516018944) is greater than itself. Its abundance is 12810443442944
Bases of 13538072576000
- Binary: 110001010000000101000000000111000000000000002
- Hexadecimal: 0xC501401C000
- Base-36: 4SRAYVABK
Squares and roots of 13538072576000
- 13538072576000 squared (135380725760002) is 183279409073043275776000000
- 13538072576000 cubed (135380725760003) is 2481249941717252752644270718976000000000
-
The
square root of 13538072576000 is 3679411.9878045731 -
The
cube root of 13538072576000 is 23833.3786394997
Scales and comparisons
How big is 13538072576000?- 13,538,072,576,000 seconds is equal to 430,468 years, 43 weeks, 1 day, 19 hours, 33 minutes, 20 seconds.
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To count from 1 to 13,538,072,576,000 would take you about one million, seventy-six thousand, one hundred seventy-two 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 13538072576000 cubic inches would be around 1986.1 feet tall.
Recreational maths with 13538072576000
- 13538072576000 backwards is 00067527083531
- The number of decimal digits it has is: 14
- The sum of 13538072576000's digits is 47
- More coming soon!
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The information we have on file for 13538072576000 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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