138354832512000
138,354,832,512,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138354832512000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1980 divisors.
138354832512000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, nine hundred eighty divisors.
Prime factorization of 138354832512000:
210 × 34 × 53 × 132 × 2812
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 281 × 281)See below for interesting mathematical facts about the number 138354832512000 from the Numbermatics database.
Names of 138354832512000
- Cardinal: 138354832512000 can be written as One hundred thirty-eight trillion, three hundred fifty-four billion, eight hundred thirty-two million, five hundred twelve thousand.
Scientific notation
- Scientific notation: 1.38354832512 × 1014
Factors of 138354832512000
Divisors of 138354832512000
- Number of divisors d(n): 1980
-
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 64 65 72 75 78 80 81 90 96 100 104 108 117 120 125 128 130 135 144 150 156 160 162 169 180 192 195 200 208 216 225 234 240 250 256 260 270 281 288 300 312 320 324 325 338 351 360 375 384 390 400 405 416 432 450 468 480 500 507 512 520 540 562 576 585 600 624 640 648 650 675 676 702 720 750 768 780 800 810 832 843 845 864 900 936 960 975 1000 1014 1024 1040 1053 1080 1124 1125 1152 1170 1200 1248 1280 1296 1300 1350 1352 1404 1405 1440 1500 1521 1536 1560 1600 1620 1625 1664 1686 1690 1728 1755 1800 1872 1920 1950 2000 2025 2028 2080 2106 2160 2248 2250 2304 2340 2400 2496 2529 2535 2560 2592 2600 2700 2704 2808 2810 2880 2925 3000 3042 3072 3120 3200 3240 3250 3328 3372 3375 3380 3456 3510 3600 3653 3744 3840 3900 4000 4050 4056 4160 4212 4215 4225 4320 4496 4500 4563 4608 4680 4800 4875 4992 5058 5070 5120 5184 5200 5265 5400 5408 5616 5620 5760 5850 6000 6084 6240 6400 6480 6500 6656 6744 6750 6760 6912 7020 7025 7200 7306 7488 7587 7605 7680 7800 8000 8100 8112 8320 8424 8430 8450 8640 8775 8992 9000 9126 9216 9360 9600 9750 9984 10116 10125 10140 10368 10400 10530 10800 10816 10959 11232 11240 11520 11700 12000 12168 12480 12645 12675 12800 12960 13000 13312 13488 13500 13520 13689 13824 14040 14050 14400 14612 14625 14976 15174 15210 15360 15600 16000 16200 16224 16640 16848 16860 16900 17280 17550 17984 18000 18252 18265 18720 19200 19500 19968 20232 20250 20280 20736 20800 21060 21075 21125 21600 21632 21918 22464 22480 22761 22815 23040 23400 24000 24336 24960 25290 25350 25600 25920 26000 26325 26976 27000 27040 27378 27648 28080 28100 28800 29224 29250 29952 30348 30420 31200 32000 32400 32448 32877 33280 33696 33720 33800 34560 35100 35125 35968 36000 36504 36530 37440 37935 38025 38400 39000 39936 40464 40500 40560 41472 41600 42120 42150 42250 43200 43264 43836 43875 44928 44960 45522 45630 46080 46800 47489 48000 48672 49920 50580 50700 51840 52000 52650 53952 54000 54080 54756 54795 56160 56200 57600 58448 58500 59904 60696 60840 62400 63225 63375 64000 64800 64896 65754 66560 67392 67440 67600 68445 69120 70200 70250 71936 72000 73008 73060 74880 75870 76050 76800 78000 78961 80928 81000 81120 82944 83200 84240 84300 84500 86400 86528 87672 87750 89856 89920 91044 91260 91325 93600 94978 96000 97344 98631 99840 101160 101400 103680 104000 105300 105375 107904 108000 108160 109512 109590 112320 112400 113805 114075 115200 116896 117000 119808 121392 121680 124800 126450 126750 128000 129600 129792 131508 131625 134784 134880 135200 136890 138240 140400 140500 142467 143872 144000 146016 146120 149760 151740 152100 156000 157922 161856 162000 162240 164385 166400 168480 168600 169000 172800 173056 175344 175500 179712 179840 182088 182520 182650 187200 189675 189956 190125 192000 194688 197262 199680 202320 202800 207360 208000 210600 210750 215808 216000 216320 219024 219180 224640 224800 227610 228150 230400 233792 234000 236883 237445 242784 243360 249600 252900 253500 259200 259584 263016 263250 269568 269760 270400 273780 273975 280800 281000 284934 287744 288000 292032 292240 295893 299520 303480 304200 312000 315844 316125 323712 324000 324480 328770 332800 336960 337200 338000 342225 345600 350688 351000 359424 359680 364176 365040 365300 374400 379350 379912 380250 384000 389376 394524 394805 404640 405600 414720 416000 421200 421500 427401 431616 432000 432640 438048 438360 449280 449600 455220 456300 456625 467584 468000 473766 474890 485568 486720 493155 499200 505800 507000 518400 519168 526032 526500 539136 539520 540800 547560 547950 561600 562000 569025 569868 570375 576000 584064 584480 591786 599040 606960 608400 624000 631688 632250 647424 648000 648960 657540 673920 674400 676000 684450 691200 701376 702000 710649 712335 719360 728352 730080 730600 748800 758700 759824 760500 778752 789048 789610 809280 811200 821925 832000 842400 843000 854802 863232 864000 865280 876096 876720 898560 899200 910440 912600 913250 935168 936000 947532 948375 949780 971136 973440 986310 998400 1011600 1014000 1026493 1036800 1052064 1053000 1078272 1079040 1081600 1095120 1095900 1123200 1124000 1138050 1139736 1140750 1152000 1168128 1168960 1183572 1184415 1187225 1213920 1216800 1248000 1263376 1264500 1282203 1294848 1296000 1297920 1315080 1347840 1348800 1352000 1368900 1369875 1402752 1404000 1421298 1424670 1438720 1456704 1460160 1461200 1479465 1497600 1517400 1519648 1521000 1557504 1578096 1579220 1618560 1622400 1643850 1664000 1684800 1686000 1709604 1711125 1728000 1752192 1753440 1797120 1798400 1820880 1825200 1826500 1870336 1872000 1895064 1896750 1899560 1942272 1946880 1972620 1974025 2023200 2028000 2052986 2073600 2104128 2106000 2131947 2137005 2158080 2163200 2190240 2191800 2246400 2248000 2276100 2279472 2281500 2336256 2337920 2367144 2368830 2374450 2427840 2433600 2465775 2496000 2526752 2529000 2564406 2589696 2592000 2595840 2630160 2695680 2697600 2704000 2737800 2739750 2805504 2808000 2842596 2845125 2849340 2913408 2920320 2922400 2958930 2995200 3034800 3039296 3042000 3079479 3156192 3158440 3237120 3244800 3287700 3369600 3372000 3419208 3422250 3456000 3504384 3506880 3553245 3561675 3596800 3641760 3650400 3653000 3740672 3744000 3790128 3793500 3799120 3846609 3884544 3893760 3945240 3948050 4046400 4056000 4105972 4109625 4208256 4212000 4263894 4274010 4316160 4326400 4380480 4383600 4492800 4496000 4552200 4558944 4563000 4672512 4675840 4734288 4737660 4748900 4855680 4867200 4931550 4992000 5053504 5058000 5128812 5132465 5184000 5260320 5391360 5395200 5408000 5475600 5479500 5611008 5616000 5685192 5690250 5698680 5826816 5840640 5844800 5917860 5922075 5936125 6069600 6078592 6084000 6158958 6312384 6316880 6395841 6411015 6474240 6489600 6575400 6739200 6744000 6838416 6844500 7008768 7013760 7106490 7123350 7193600 7283520 7300800 7306000 7397325 7488000 7580256 7587000 7598240 7693218 7769088 7787520 7890480 7896100 8092800 8112000 8211944 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6569555200 6651674640 6672204500 6822230400 6832337408 6838416000 6928827750 7095119616 7205980860 7390749600 7574860800 7580256000 7686379584 7693218000 7883466240 8006645400 8186676480 8206099200 8211944000 8314593300 8527788000 8540421760 8647177032 8868899520 9007476075 9096307200 9117888000 9238437000 9460159488 9468576000 9607974480 9847319040 9854332800 10008306750 10107008000 10233345600 10248506112 10257624000 10393241625 10642679424 10675527200 10808971290 10915568640 10941465600 11086124400 11370384000 11529569376 11825199360 12009968100 12309148800 12317916000 12624768000 12791682000 12810632640 13139110400 13303349280 13344409000 13644460800 13664674816 13676832000 13857655500 14190239232 14411961720 14781499200 15012460125 15160512000 15372759168 15386436000 15766932480 16013290800 16373352960 16412198400 16423888000 16629186600 17055576000 17080843520 17294354064 17737799040 18014952150 18192614400 18235776000 18476874000 18937152000 19215948960 19694638080 19708665600 20016613500 20466691200 20497012224 20515248000 20786483250 21285358848 21351054400 21617942580 22172248800 22740768000 23059138752 23650398720 24019936200 24618297600 24635832000 25583364000 25621265280 26278220800 26606698560 26688818000 27022428225 27288921600 27353664000 27715311000 28380478464 28823923440 29562998400 30024920250 30321024000 30745518336 30772872000 32026581600 32746705920 32824396800 32847776000 33258373200 34111152000 34161687040 34588708128 35475598080 36029904300 36953748000 37874304000 38431897920 39417331200 40033227000 40933382400 40994024448 41030496000 41572966500 42570717696 42702108800 43235885160 44344497600 45037380375 45481536000 46118277504 47300797440 48039872400 49236595200 49271664000 51166728000 51242530560 53213397120 53377636000 54044856450 54577843200 54707328000 55430622000 57647846880 59125996800 60049840500 61491036672 61545744000 64053163200 65695552000 66516746400 68222304000 68323374080 69177416256 70951196160 72059808600 73907496000 76863795840 78834662400 80066454000 81866764800 82060992000 83145933000 85141435392 85404217600 86471770320 88688995200 90074760750 90963072000 92236555008 96079744800 98473190400 98543328000 102333456000 102485061120 106426794240 106755272000 108089712900 110861244000 115295693760 118251993600 120099681000 122982073344 123091488000 128106326400 131391104000 133033492800 135112141125 136444608000 138354832512 141902392320 144119617200 147814992000 153727591680 160132908000 163733529600 164121984000 166291866000 170808435200 172943540640 177377990400 180149521500 184473110016 192159489600 197086656000 204666912000 204970122240 212853588480 213510544000 216179425800 221722488000 230591387520 236503987200 240199362000 246182976000 256212652800 266066985600 270224282250 272889216000 276709665024 288239234400 295629984000 307455183360 320265816000 332583732000 341616870400 345887081280 354755980800 360299043000 368946220032 384318979200 394173312000 409333824000 425707176960 427021088000 432358851600 443444976000 461182775040 480398724000 492365952000 512425305600 532133971200 540448564500 553419330048 576478468800 591259968000 614910366720 640531632000 665167464000 691774162560 709511961600 720598086000 768637958400 818667648000 854042176000 864717703200 886889952000 922365550080 960797448000 1024850611200 1064267942400 1080897129000 1106838660096 1152956937600 1182519936000 1281063264000 1330334928000 1383548325120 1441196172000 1537275916800 1708084352000 1729435406400 1773779904000 1844731100160 1921594896000 2128535884800 2161794258000 2305913875200 2562126528000 2660669856000 2767096650240 2882392344000 3074551833600 3458870812800 3547559808000 3843189792000 4323588516000 4611827750400 5124253056000 5321339712000 5534193300480 5764784688000 6917741625600 7686379584000 8647177032000 9223655500800 10642679424000 11529569376000 13835483251200 15372759168000 17294354064000 23059138752000 27670966502400 34588708128000 46118277504000 69177416256000 138354832512000
- Sum of all divisors σ(n): 560324754943668
- Sum of proper divisors (its aliquot sum) s(n): 421969922431668
- 138354832512000 is an abundant number, because the sum of its proper divisors (421969922431668) is greater than itself. Its abundance is 283615089919668
Bases of 138354832512000
- Binary: 111110111010101001111101010010100010100000000002
- Hexadecimal: 0x7DD53EA51400
- Base-36: 1D1JBZ2800
Squares and roots of 138354832512000
- 138354832512000 squared (1383548325120002) is 19142059679423572230144000000
- 138354832512000 cubed (1383548325120003) is 2648396460881356748606307437641728000000000
-
The
square root of 138354832512000 is 11762433.1034016937 -
The
cube root of 138354832512000 is 51720.7456786025
Scales and comparisons
How big is 138354832512000?- 138,354,832,512,000 seconds is equal to 4,399,255 years, 37 weeks, 1 day.
-
To count from 1 to 138,354,832,512,000 would take you about ten million, nine hundred ninety-eight thousand, one hundred thirty-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 138354832512000 cubic inches would be around 4310.1 feet tall.
Recreational maths with 138354832512000
- 138354832512000 backwards is 000215238453831
- 138354832512000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138354832512000's digits is 45
- More coming soon!
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Numbermatics. (2024). Number 138354832512000 - Facts about the integer. Retrieved 1 May 2024, from https://numbermatics.com/n/138354832512000/
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The information we have on file for 138354832512000 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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