138684688876800
138,684,688,876,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138684688876800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3240 divisors.
138684688876800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, two hundred forty divisors.
Prime factorization of 138684688876800:
28 × 34 × 52 × 11 × 23 × 89 × 1092
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 23 × 89 × 109 × 109)See below for interesting mathematical facts about the number 138684688876800 from the Numbermatics database.
Names of 138684688876800
- Cardinal: 138684688876800 can be written as One hundred thirty-eight trillion, six hundred eighty-four billion, six hundred eighty-eight million, eight hundred seventy-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.386846888768 × 1014
Factors of 138684688876800
Divisors of 138684688876800
- Number of divisors d(n): 3240
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 23 24 25 27 30 32 33 36 40 44 45 46 48 50 54 55 60 64 66 69 72 75 80 81 88 89 90 92 96 99 100 108 109 110 115 120 128 132 135 138 144 150 160 162 165 176 178 180 184 192 198 200 207 216 218 220 225 230 240 253 256 264 267 270 275 276 288 297 300 320 324 327 330 345 352 356 360 368 384 396 400 405 414 432 436 440 445 450 460 480 495 506 528 534 540 545 550 552 575 576 594 600 621 640 648 654 660 675 690 704 712 720 736 759 768 792 800 801 810 825 828 864 872 880 890 891 900 920 960 979 981 990 1012 1035 1056 1068 1080 1090 1100 1104 1150 1152 1188 1199 1200 1242 1265 1280 1296 1308 1320 1335 1350 1380 1408 1424 1440 1472 1485 1518 1584 1600 1602 1620 1635 1650 1656 1725 1728 1744 1760 1780 1782 1800 1840 1863 1920 1958 1962 1980 2024 2025 2047 2070 2112 2136 2160 2180 2200 2208 2225 2277 2300 2304 2376 2398 2400 2403 2475 2484 2507 2530 2592 2616 2640 2670 2700 2725 2760 2816 2848 2880 2937 2943 2944 2970 3036 3105 3168 3200 3204 3240 3270 3300 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23133392640 23347590720 23553785475 23561788800 23609923200 24077202930 24347733300 25124037840 25446731904 25682349792 25970915520 26266039560 26507012400 26752447700 26798973696 27408041280 27659491200 27915597600 28017108864 28274146560 28331907840 28856572800 28892643516 28916740800 29184488400 30148845408 30453379200 31130120960 31165098624 31405047300 31519247472 31808414880 32102937240 32463644400 32832549450 33498717120 33875107200 34243133056 34260051600 34627887360 35021386080 35342683200 35414884800 36115804395 36544055040 37220796800 37686056760 38523524688 38555654400 38912651200 38956373280 39399059340 39760518600 40128671550 40198460544 41873396400 42025663296 42411219840 42803916320 43284859200 43338965274 43776732600 44664956160 45680068800 46695181440 47107570950 47123577600 47219846400 48154405860 48695466600 49248824175 50248075680 50893463808 51364699584 51941831040 52532079120 53014024800 53504895400 54816082560 55318982400 55831195200 56034217728 57713145600 57785287032 57833481600 58368976800 60193007325 60297690816 60906758400 62330197248 62810094600 63038494944 63616829760 64205874480 64927288800 65665098900 66997434240 67750214400 68486266112 68520103200 70042772160 70685366400 70829769600 72231608790 74441593600 75372113520 77047049376 77825302400 77912746560 78798118680 79521037200 80257343100 80396921088 83746792800 84051326592 84822439680 85607832640 86569718400 86677930548 87553465200 91360137600 93390362880 94215141900 96308811720 97390933200 98497648350 100496151360 102729399168 103883662080 105064158240 106028049600 107009790800 108347413185 109632165120 111662390400 115570574064 115666963200 116737953600 120386014650 120595381632 125620189200 126076989888 127233659520 128411748960 129854577600 131330197800 133994868480 137040206400 140085544320 141370732800 141659539200 144463217580 150744227040 154094098752 155650604800 155825493120 157596237360 159042074400 160514686200 167493585600 168102653184 171215665280 173139436800 173355861096 175106930400 180579021975 182720275200 188430283800 192617623440 194781866400 196995296700 200992302720 205458798336 210128316480 212056099200 214019581600 216694826370 223324780800 231141148128 233475907200 240772029300 241190763264 251240378400 252153979776 254467319040 256823497920 259709155200 262660395600 274080412800 280171088640 288926435160 301488454080 308188197504 311650986240 315192474720 318084148800 321029372400 334987171200 342431330560 346711722192 350213860800 361158043950 376860567600 385235246880 389563732800 393990593400 401984605440 420256632960 424112198400 428039163200 433389652740 462282296256 466951814400 481544058600 502480756800 504307959552 513646995840 519418310400 525320791200 541737065925 548160825600 577852870320 602976908160 616376395008 630384949440 636168297600 642058744800 669974342400 693423444384 700427721600 722316087900 753721135200 770470493760 779127465600 787981186800 840513265920 856078326400 866779305480 924564592512 963088117200 1004961513600 1027293991680 1050641582400 1083474131850 1155705740640 1205953816320 1260769898880 1272336595200 1284117489600 1386846888768 1400855443200 1444632175800 1507442270400 1540940987520 1558254931200 1575962373600 1712156652800 1733558610960 1849129185024 1926176234400 2009923027200 2101283164800 2166948263700 2311411481280 2521539797760 2568234979200 2773693777536 2889264351600 3014884540800 3081881975040 3151924747200 3467117221920 3852352468800 4202566329600 4333896527400 4622822962560 5136469958400 5547387555072 5778528703200 6029769081600 6303849494400 6934234443840 7704704937600 8667793054800 9245645925120 11557057406400 12607698988800 13868468887680 15409409875200 17335586109600 23114114812800 27736937775360 34671172219200 46228229625600 69342344438400 138684688876800
- Sum of all divisors σ(n): 595742199433920
- Sum of proper divisors (its aliquot sum) s(n): 457057510557120
- 138684688876800 is an abundant number, because the sum of its proper divisors (457057510557120) is greater than itself. Its abundance is 318372821680320
Bases of 138684688876800
- Binary: 111111000100010000010111001110111000101000000002
- Hexadecimal: 0x7E220B9DC500
- Base-36: 1D5QV70W00
Squares and roots of 138684688876800
- 138684688876800 squared (1386846888768002) is 19233442928854813645578240000
- 138684688876800 cubed (1386846888768003) is 2667384048617918787755061398432120832000000
-
The
square root of 138684688876800 is 11776446.3602905265 -
The
cube root of 138684688876800 is 51761.8161076131
Scales and comparisons
How big is 138684688876800?- 138,684,688,876,800 seconds is equal to 4,409,744 years, 6 weeks, 4 days.
-
To count from 1 to 138,684,688,876,800 would take you about eleven million, twenty-four thousand, three hundred sixty 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 138684688876800 cubic inches would be around 4313.5 feet tall.
Recreational maths with 138684688876800
- 138684688876800 backwards is 008678886486831
- 138684688876800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138684688876800's digits is 81
- More coming soon!
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"Number 138684688876800 - Facts about the integer". Numbermatics.com. 2024. Web. 21 September 2024.
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Numbermatics. (2024). Number 138684688876800 - Facts about the integer. Retrieved 21 September 2024, from https://numbermatics.com/n/138684688876800/
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The information we have on file for 138684688876800 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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