135138679603200
135,138,679,603,200 is an even composite number composed of six prime numbers multiplied together.
135138679603200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 135138679603200:
214 × 33 × 52 × 72 × 13 × 19183
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 13 × 19183)See below for interesting mathematical facts about the number 135138679603200 from the Numbermatics database.
Names of 135138679603200
- Cardinal: 135138679603200 can be written as One hundred thirty-five trillion, one hundred thirty-eight billion, six hundred seventy-nine million, six hundred three thousand, two hundred.
Scientific notation
- Scientific notation: 1.351386796032 × 1014
Factors of 135138679603200
Divisors of 135138679603200
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 30 32 35 36 39 40 42 45 48 49 50 52 54 56 60 63 64 65 70 72 75 78 80 84 90 91 96 98 100 104 105 108 112 117 120 126 128 130 135 140 144 147 150 156 160 168 175 180 182 189 192 195 196 200 208 210 216 224 225 234 240 245 252 256 260 270 273 280 288 294 300 312 315 320 325 336 350 351 360 364 378 384 390 392 400 416 420 432 441 448 450 455 468 480 490 504 512 520 525 540 546 560 576 585 588 600 624 630 637 640 650 672 675 700 702 720 728 735 756 768 780 784 800 819 832 840 864 882 896 900 910 936 945 960 975 980 1008 1024 1040 1050 1080 1092 1120 1152 1170 1176 1200 1225 1248 1260 1274 1280 1300 1323 1344 1350 1365 1400 1404 1440 1456 1470 1512 1536 1560 1568 1575 1600 1638 1664 1680 1728 1755 1764 1792 1800 1820 1872 1890 1911 1920 1950 1960 2016 2048 2080 2100 2160 2184 2205 2240 2275 2304 2340 2352 2400 2450 2457 2496 2520 2548 2560 2600 2646 2688 2700 2730 2800 2808 2880 2912 2925 2940 3024 3072 3120 3136 3150 3185 3200 3276 3328 3360 3456 3510 3528 3584 3600 3640 3675 3744 3780 3822 3840 3900 3920 4032 4095 4096 4160 4200 4320 4368 4410 4480 4550 4608 4680 4704 4725 4800 4900 4914 4992 5040 5096 5120 5200 5292 5376 5400 5460 5600 5616 5733 5760 5824 5850 5880 6048 6144 6240 6272 6300 6370 6400 6552 6615 6656 6720 6825 6912 7020 7056 7168 7200 7280 7350 7488 7560 7644 7680 7800 7840 8064 8190 8192 8320 8400 8640 8736 8775 8820 8960 9100 9216 9360 9408 9450 9555 9600 9800 9828 9984 10080 10192 10240 10400 10584 10752 10800 10920 11025 11200 11232 11466 11520 11648 11700 11760 12096 12285 12288 12480 12544 12600 12740 12800 13104 13230 13312 13440 13650 13824 14040 14112 14336 14400 14560 14700 14976 15120 15288 15360 15600 15680 15925 16128 16380 16384 16640 16800 17199 17280 17472 17550 17640 17920 18200 18432 18720 18816 18900 19110 19183 19200 19600 19656 19968 20160 20384 20475 20480 20800 21168 21504 21600 21840 22050 22400 22464 22932 23040 23296 23400 23520 24192 24570 24576 24960 25088 25200 25480 25600 26208 26460 26624 26880 27300 27648 28080 28224 28665 28672 28800 29120 29400 29952 30240 30576 30720 31200 31360 31850 32256 32760 33075 33280 33600 34398 34560 34944 35100 35280 35840 36400 36864 37440 37632 37800 38220 38366 38400 39200 39312 39936 40320 40768 40950 40960 41600 42336 43008 43200 43680 44100 44800 44928 45864 46080 46592 46800 47040 47775 48384 49140 49152 49920 50176 50400 50960 51200 52416 52920 53248 53760 54600 55296 56160 56448 57330 57344 57549 57600 58240 58800 59904 60480 61152 61425 61440 62400 62720 63700 64512 65520 66150 66560 67200 68796 69120 69888 70200 70560 71680 72800 73728 74880 75264 75600 76440 76732 76800 78400 78624 79872 80640 81536 81900 81920 83200 84672 85995 86016 86400 87360 88200 89600 89856 91728 92160 93184 93600 94080 95550 95915 96768 98280 99840 100352 100800 101920 102400 104832 105840 106496 107520 109200 110592 112320 112896 114660 114688 115098 115200 116480 117600 119808 120960 122304 122850 122880 124800 125440 127400 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4331367936 4399045560 4419763200 4468871680 4511841600 4596553728 4640751360 4692315264 4713263100 4714414080 4788076800 4812631040 4887828400 4950134784 5027480640 5075821800 5107281920 5156390400 5278854672 5303715840 5362646016 5386586400 5414209920 5498806950 5500149760 5586089600 5745692160 5775157248 5800939200 5865394080 5893017600 6015788800 6032976768 6128738304 6187668480 6256420352 6284350800 6384102400 6497051904 6598568340 6600179712 6629644800 6703307520 6767762400 6875187200 6894830592 7038472896 7044710400 7071621120 7150194688 7182115200 7218946560 7331742600 7425202176 7541220960 7660922880 7700209664 7734585600 7820525440 7857356800 8043969024 8121314880 8248210425 8250224640 8379134400 8485945344 8618538240 8662735872 8798091120 8839526400 8937743360 9023683200 9193107456 9281502720 9384630528 9426526200 9576153600 9625262080 9775656800 9900269568 10054961280 10151643600 10214563840 10312780800 10557709344 10607431680 10725292032 10773172800 10828419840 10997613900 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28728460800 28875786240 29326970400 29700808704 30164883840 30643691520 30938342400 31282101760 32175876096 32485259520 32992841700 33000898560 33516537600 34474152960 34650943488 35192364480 35358105600 35750973440 36094732800 36772429824 37126010880 37538522112 37706104800 38304614400 38501048320 39102627200 40219845120 40606574400 41251123200 42230837376 42429726720 42901168128 43092691200 43313679360 43990455600 44688716800 45965537280 46201257984 46407513600 46923152640 48126310400 48263814144 49501347840 50051362816 50274806400 51072819200 51976415232 52788546720 53037158400 53626460160 54142099200 55001497600 55158644736 56307783168 57456921600 57751572480 58653940800 59401617408 60329767680 61287383040 61876684800 62564203520 64351752192 64970519040 65985683400 67033075200 68948305920 69301886976 70384728960 70716211200 71501946880 72189465600 74252021760 75077044224 75412209600 76609228800 77002096640 78205254400 80439690240 81213148800 82502246400 84461674752 85802336256 86185382400 86627358720 87980911200 89377433600 91931074560 92815027200 93846305280 96252620800 96527628288 99002695680 100102725632 100549612800 102145638400 103952830464 105577093440 106074316800 107252920320 108284198400 110317289472 112615566336 114913843200 115503144960 117307881600 120659535360 123753369600 125128407040 128703504384 129941038080 131971366800 134066150400 137896611840 138603773952 140769457920 143003893760 144378931200 148504043520 150154088448 150824419200 153218457600 156410508800 160879380480 162426297600 165004492800 168923349504 172370764800 173254717440 175961822400 178754867200 183862149120 185630054400 187692610560 192505241600 193055256576 200205451264 201099225600 207905660928 211154186880 212148633600 214505840640 216568396800 225231132672 229827686400 231006289920 234615763200 241319070720 247506739200 250256814080 257407008768 259882076160 263942733600 268132300800 275793223680 281538915840 288757862400 297008087040 300308176896 301648838400 306436915200 312821017600 321758760960 324852595200 337846699008 344741529600 346509434880 351923644800 357509734400 371260108800 375385221120 385010483200 386110513152 402198451200 415811321856 422308373760 429011681280 433136793600 450462265344 459655372800 469231526400 482638141440 495013478400 500513628160 519764152320 527885467200 536264601600 551586447360 563077831680 577515724800 600616353792 603297676800 625642035200 643517521920 649705190400 675693398016 689483059200 693018869760 703847289600 715019468800 742520217600 750770442240 772221026304 804396902400 844616747520 866273587200 900924530688 919310745600 938463052800 965276282880 1001027256320 1039528304640 1055770934400 1072529203200 1126155663360 1155031449600 1206595353600 1251284070400 1287035043840 1299410380800 1351386796032 1378966118400 1407694579200 1485040435200 1501540884480 1608793804800 1689233495040 1732547174400 1801849061376 1876926105600 1930552565760 2079056609280 2111541868800 2145058406400 2252311326720 2413190707200 2502568140800 2598820761600 2702773592064 2757932236800 2815389158400 3003081768960 3217587609600 3378466990080 3465094348800 3753852211200 3861105131520 4223083737600 4504622653440 4826381414400 5005136281600 5197641523200 5405547184128 5630778316800 6435175219200 6756933980160 7507704422400 8446167475200 9009245306880 9652762828800 10395283046400 11261556633600 13513867960320 15015408844800 16892334950400 19305525657600 22523113267200 27027735920640 33784669900800 45046226534400 67569339801600 135138679603200
- Sum of all divisors σ(n): 622014377698560
- Sum of proper divisors (its aliquot sum) s(n): 486875698095360
- 135138679603200 is an abundant number, because the sum of its proper divisors (486875698095360) is greater than itself. Its abundance is 351737018492160
Bases of 135138679603200
- Binary: 111101011101000011011001111111001000000000000002
- Hexadecimal: 0x7AE86CFE4000
- Base-36: 1BWHUONPC0
Squares and roots of 135138679603200
- 135138679603200 squared (1351386796032002) is 18262462724896343709450240000
- 135138679603200 cubed (1351386796032003) is 2467965098945149816482539775373344768000000
-
The
square root of 135138679603200 is 11624916.3267182271 -
The
cube root of 135138679603200 is 51316.8382248419
Scales and comparisons
How big is 135138679603200?- 135,138,679,603,200 seconds is equal to 4,296,992 years.
-
To count from 1 to 135,138,679,603,200 would take you about ten million, seven hundred forty-two thousand, four hundred eighty 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 135138679603200 cubic inches would be around 4276.4 feet tall.
Recreational maths with 135138679603200
- 135138679603200 backwards is 002306976831531
- 135138679603200 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135138679603200's digits is 54
- More coming soon!
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"Number 135138679603200 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 135138679603200 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/135138679603200/
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Numbermatics. 2024. "Number 135138679603200 - Facts about the integer". https://numbermatics.com/n/135138679603200/
The information we have on file for 135138679603200 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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