138540462480000
138,540,462,480,000 is an even composite number composed of five prime numbers multiplied together.
138540462480000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138540462480000:
27 × 35 × 54 × 7 × 10092
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 1009 × 1009)See below for interesting mathematical facts about the number 138540462480000 from the Numbermatics database.
Names of 138540462480000
- Cardinal: 138540462480000 can be written as One hundred thirty-eight trillion, five hundred forty billion, four hundred sixty-two million, four hundred eighty thousand.
Scientific notation
- Scientific notation: 1.3854046248 × 1014
Factors of 138540462480000
Divisors of 138540462480000
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 70 72 75 80 81 84 90 96 100 105 108 112 120 125 126 128 135 140 144 150 160 162 168 175 180 189 192 200 210 216 224 225 240 243 250 252 270 280 288 300 315 320 324 336 350 360 375 378 384 400 405 420 432 448 450 480 486 500 504 525 540 560 567 576 600 625 630 640 648 672 675 700 720 750 756 800 810 840 864 875 896 900 945 960 972 1000 1008 1009 1050 1080 1120 1125 1134 1152 1200 1215 1250 1260 1296 1344 1350 1400 1440 1500 1512 1575 1600 1620 1680 1701 1728 1750 1800 1875 1890 1920 1944 2000 2016 2018 2025 2100 2160 2240 2250 2268 2400 2430 2500 2520 2592 2625 2688 2700 2800 2835 2880 3000 3024 3027 3150 3200 3240 3360 3375 3402 3456 3500 3600 3750 3780 3888 4000 4032 4036 4050 4200 4320 4375 4480 4500 4536 4725 4800 4860 5000 5040 5045 5184 5250 5400 5600 5625 5670 5760 6000 6048 6054 6075 6300 6480 6720 6750 6804 7000 7063 7200 7500 7560 7776 7875 8000 8064 8072 8100 8400 8505 8640 8750 9000 9072 9081 9450 9600 9720 10000 10080 10090 10125 10368 10500 10800 11200 11250 11340 12000 12096 12108 12150 12600 12960 13125 13440 13500 13608 14000 14126 14175 14400 15000 15120 15135 15552 15750 16000 16144 16200 16800 16875 17010 17280 17500 18000 18144 18162 18900 19440 20000 20160 20180 20250 21000 21189 21600 22400 22500 22680 23625 24000 24192 24216 24300 25200 25225 25920 26250 27000 27216 27243 28000 28252 28350 28800 30000 30240 30270 30375 31104 31500 32288 32400 33600 33750 34020 35000 35315 36000 36288 36324 37800 38880 39375 40000 40320 40360 40500 42000 42378 42525 43200 45000 45360 45405 47250 48000 48432 48600 50400 50450 50625 51840 52500 54000 54432 54486 56000 56504 56700 60000 60480 60540 60750 63000 63567 64576 64800 67200 67500 68040 70000 70630 70875 72000 72576 72648 75600 75675 77760 78750 80000 80720 81000 81729 84000 84756 85050 86400 90000 90720 90810 94500 96864 97200 100800 100900 101250 105000 105945 108000 108864 108972 112000 113008 113400 118125 120000 120960 121080 121500 126000 126125 127134 129152 129600 135000 136080 136215 140000 141260 141750 144000 145296 151200 151350 151875 155520 157500 161440 162000 163458 168000 169512 170100 176575 180000 181440 181620 189000 190701 193728 194400 201600 201800 202500 210000 211890 212625 216000 217728 217944 226016 226800 227025 236250 240000 242160 243000 245187 252000 252250 254268 259200 270000 272160 272430 280000 282520 283500 290592 302400 302700 303750 315000 317835 322880 324000 326916 336000 339024 340200 353150 354375 360000 362880 363240 378000 378375 381402 387456 388800 403600 405000 408645 420000 423780 425250 432000 435888 452032 453600 454050 472500 484320 486000 490374 504000 504500 508536 529725 540000 544320 544860 560000 565040 567000 572103 581184 604800 605400 607500 630000 630625 635670 645760 648000 653832 678048 680400 681075 706300 708750 720000 726480 756000 756750 762804 777600 807200 810000 817290 840000 847560 850500 871776 882875 904064 907200 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577251927 586414656 610243200 610848600 612967500 635670000 636300625 641391030 651571840 653832000 659716488 684150432 686523600 687204675 712656700 715128750 726480000 733018320 762804000 763560750 769669236 784598400 814464800 817290000 824645610 847560000 855188040 858154500 879621984 890820875 912200576 915364800 916272900 953505000 962086545 977357760 980748000 989574732 1017072000 1018081000 1026225648 1068985050 1072693125 1089720000 1098437760 1099527480 1140250720 1144206000 1145341125 1154503854 1172829312 1221697200 1225935000 1236968415 1271340000 1272601250 1282782060 1307664000 1319432976 1368300864 1373047200 1374409350 1425313400 1430257500 1466036640 1525608000 1527121500 1539338472 1603477575 1628929600 1634580000 1649291220 1695120000 1710376080 1716309000 1731755781 1759243968 1781641750 1830729600 1832545800 1907010000 1908901875 1924173090 1954715520 1961496000 1979149464 2036162000 2052451296 2061614025 2137970100 2145386250 2179440000 2199054960 2280501440 2288412000 2290682250 2309007708 2443394400 2451870000 2473936830 2542680000 2545202500 2565564120 2638865952 2672462625 2736601728 2746094400 2748818700 2850626800 2860515000 2886259635 2932073280 3051216000 3054243000 3078676944 3206955150 3257859200 3269160000 3298582440 3420752160 3432618000 3436023375 3463511562 3518487936 3563283500 3665091600 3814020000 3817803750 3848346180 3922992000 3958298928 4072324000 4104902592 4123228050 4275940200 4290772500 4398109920 4454104375 4561002880 4576824000 4581364500 4618015416 4810432725 4886788800 4903740000 4947873660 5085360000 5090405000 5131128240 5277731904 5344925250 5492188800 5497637400 5701253600 5721030000 5726705625 5772519270 5864146560 6108486000 6157353888 6184842075 6413910300 6538320000 6597164880 6841504320 6865236000 6872046750 6927023124 7126567000 7330183200 7628040000 7635607500 7696692360 7916597856 8017387875 8144648000 8209805184 8246456100 8551880400 8581545000 8658778905 8796219840 8908208750 9153648000 9162729000 9236030832 9620865450 9773577600 9807480000 9895747320 10180810000 10262256480 10308070125 10555463808 10689850500 10995274800 11402507200 11442060000 11453411250 11545038540 12216972000 12314707776 12369684150 12827820600 13194329760 13362313125 13683008640 13730472000 13744093500 13854046248 14253134000 14431298175 14660366400 15256080000 15271215000 15393384720 15833195712 16034775750 16289296000 16492912200 17103760800 17163090000 17180116875 17317557810 17592439680 17816417500 18325458000 18472061664 19241730900 19614960000 19791494640 20361620000 20524512960 20616140250 21379701000 21990549600 22805014400 22884120000 22906822500 23090077080 24052163625 24433944000 24629415552 24739368300 25655641200 26388659520 26724626250 27460944000 27488187000 27708092496 28506268000 28862596350 29320732800 30542430000 30786769440 30924210375 31666391424 32069551500 32985824400 34207521600 34326180000 34360233750 34635115620 35632835000 36650916000 36944123328 38483461800 39582989280 40086939375 40723240000 41049025920 41232280500 42759402000 43293894525 43981099200 45768240000 45813645000 46180154160 48104327250 48867888000 49478736600 51311282400 51540350625 52777319040 53449252500 54976374000 55416184992 57012536000 57725192700 61084860000 61573538880 61848420750 64139103000 65971648800 68415043200 68652360000 68720467500 69270231240 71265670000 72156490875 73301832000 73888246656 76966923600 79165978560 80173878750 81446480000 82464561000 85518804000 86587789050 87962198400 91627290000 92360308320 96208654500 98957473200 102622564800 103080701250 106898505000 109952748000 110832369984 114025072000 115450385400 120260818125 122169720000 123147077760 123696841500 128278206000 131943297600 137304720000 137440935000 138540462480 142531340000 144312981750 146603664000 153933847200 154621051875 158331957120 160347757500 164929122000 171037608000 173175578100 183254580000 184720616640 192417309000 197914946400 205245129600 206161402500 213797010000 216469472625 219905496000 221664739968 230900770800 240521636250 244339440000 247393683000 256556412000 263886595200 274881870000 277080924960 285062680000 288625963500 307867694400 309242103750 320695515000 329858244000 342075216000 346351156200 360782454375 366509160000 369441233280 384834618000 395829892800 412322805000 427594020000 432938945250 439810992000 461801541600 481043272500 494787366000 513112824000 549763740000 554161849920 570125360000 577251927000 615735388800 618484207500 641391030000 659716488000 692702312400 721564908750 733018320000 769669236000 791659785600 824645610000 855188040000 865877890500 923603083200 962086545000 989574732000 1026225648000 1082347363125 1099527480000 1108323699840 1154503854000 1236968415000 1282782060000 1319432976000 1385404624800 1443129817500 1539338472000 1649291220000 1710376080000 1731755781000 1847206166400 1924173090000 1979149464000 2164694726250 2199054960000 2309007708000 2473936830000 2565564120000 2770809249600 2886259635000 3078676944000 3298582440000 3463511562000 3848346180000 3958298928000 4329389452500 4618015416000 4947873660000 5131128240000 5541618499200 5772519270000 6597164880000 6927023124000 7696692360000 8658778905000 9236030832000 9895747320000 11545038540000 13854046248000 15393384720000 17317557810000 19791494640000 23090077080000 27708092496000 34635115620000 46180154160000 69270231240000 138540462480000
- Sum of all divisors σ(n): 591010982321760
- Sum of proper divisors (its aliquot sum) s(n): 452470519841760
- 138540462480000 is an abundant number, because the sum of its proper divisors (452470519841760) is greater than itself. Its abundance is 313930057361760
Bases of 138540462480000
- Binary: 111111000000000011101110000110110011010100000002
- Hexadecimal: 0x7E00770D9A80
- Base-36: 1D3WLYCO00
Squares and roots of 138540462480000
- 138540462480000 squared (1385404624800002) is 19193459744172287750400000000
- 138540462480000 cubed (1385404624800003) is 2659070789548891229740054804992000000000000
-
The
square root of 138540462480000 is 11770321.2564483557 -
The
cube root of 138540462480000 is 51743.8664942463
Scales and comparisons
How big is 138540462480000?- 138,540,462,480,000 seconds is equal to 4,405,158 years, 9 weeks.
-
To count from 1 to 138,540,462,480,000 would take you about eleven million, twelve thousand, eight hundred ninety-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 138540462480000 cubic inches would be around 4312 feet tall.
Recreational maths with 138540462480000
- 138540462480000 backwards is 000084264045831
- 138540462480000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138540462480000's digits is 45
- More coming soon!
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The information we have on file for 138540462480000 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!
Keywords: Divisors of 138540462480000, math, Factors of 138540462480000, curriculum, school, college, exams, university, Prime factorization of 138540462480000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, five hundred forty billion, four hundred sixty-two million, four hundred eighty thousand.