135684808896000
135,684,808,896,000 is an even composite number composed of eight prime numbers multiplied together.
135684808896000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, five hundred sixty divisors.
Prime factorization of 135684808896000:
29 × 3 × 53 × 7 × 13 × 43 × 313 × 577
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 13 × 43 × 313 × 577)See below for interesting mathematical facts about the number 135684808896000 from the Numbermatics database.
Names of 135684808896000
- Cardinal: 135684808896000 can be written as One hundred thirty-five trillion, six hundred eighty-four billion, eight hundred eight million, eight hundred ninety-six thousand.
Scientific notation
- Scientific notation: 1.35684808896 × 1014
Factors of 135684808896000
Divisors of 135684808896000
- Number of divisors d(n): 2560
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 43 48 50 52 56 60 64 65 70 75 78 80 84 86 91 96 100 104 105 112 120 125 128 129 130 140 150 156 160 168 172 175 182 192 195 200 208 210 215 224 240 250 256 258 260 273 280 300 301 312 313 320 325 336 344 350 364 375 384 390 400 416 420 430 448 455 480 500 512 516 520 525 546 559 560 577 600 602 624 626 640 645 650 672 688 700 728 750 768 780 800 832 840 860 875 896 903 910 939 960 975 1000 1032 1040 1050 1075 1092 1118 1120 1154 1200 1204 1248 1252 1280 1290 1300 1344 1365 1376 1400 1456 1500 1505 1536 1560 1565 1600 1625 1664 1677 1680 1720 1731 1750 1792 1806 1820 1878 1920 1950 2000 2064 2080 2100 2150 2184 2191 2236 2240 2275 2308 2400 2408 2496 2504 2560 2580 2600 2625 2688 2730 2752 2795 2800 2885 2912 3000 3010 3120 3130 3200 3225 3250 3328 3354 3360 3440 3462 3500 3584 3612 3640 3756 3840 3900 3913 4000 4039 4069 4128 4160 4200 4300 4368 4382 4472 4480 4515 4550 4616 4695 4800 4816 4875 4992 5008 5160 5200 5250 5375 5376 5460 5504 5590 5600 5770 5824 6000 6020 6240 6260 6400 6450 6500 6573 6656 6708 6720 6825 6880 6924 7000 7224 7280 7501 7512 7525 7680 7800 7825 7826 8000 8078 8138 8256 8320 8385 8400 8600 8655 8736 8764 8944 8960 9030 9100 9232 9390 9600 9632 9750 9984 10016 10320 10400 10500 10750 10752 10920 10955 11008 11180 11200 11375 11540 11648 11739 12000 12040 12117 12207 12480 12520 12800 12900 13000 13146 13416 13440 13459 13650 13760 13848 13975 14000 14425 14448 14560 15002 15024 15050 15600 15650 15652 16000 16125 16156 16276 16512 16640 16770 16800 17200 17310 17472 17528 17888 17920 18060 18200 18464 18780 19200 19264 19500 19565 19968 20032 20195 20345 20640 20800 21000 21500 21840 21910 22016 22360 22400 22503 22575 22750 23080 23296 23475 23478 24000 24080 24234 24414 24811 24960 25040 25800 26000 26292 26832 26880 26918 27300 27520 27696 27950 28000 28483 28850 28896 29120 30004 30048 30100 31200 31300 31304 32000 32250 32312 32552 32865 33024 33280 33540 33600 34125 34400 34620 34944 35056 35776 36120 36400 36928 37505 37560 37625 38400 38528 39000 39125 39130 40064 40377 40390 40690 41280 41600 41925 42000 43000 43275 43680 43820 44720 44800 45006 45150 45500 46160 46592 46950 46956 48000 48160 48468 48828 49622 49920 50080 51600 52000 52507 52584 53664 53760 53836 54600 54775 55040 55392 55900 56000 56966 57700 57792 58240 58695 60008 60096 60200 60585 61035 62400 62600 62608 64000 64500 64624 65104 65730 66048 67080 67200 67295 68250 68800 69240 69875 69888 70112 71552 72125 72240 72800 73856 74433 75010 75120 75250 77056 78000 78250 78260 80128 80754 80780 81380 82560 83200 83850 84000 85449 86000 86550 87360 87640 89440 89600 90012 90300 91000 92320 93900 93912 94213 96000 96320 96936 97656 97825 99244 99840 100160 100975 101725 103200 104000 105014 105168 107328 107672 109200 109550 110080 110784 111800 112000 112515 112875 113932 115400 115584 116480 117375 117390 120016 120192 120400 121170 122070 124055 124800 125200 125216 129000 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96917720640 98608146000 99402790400 100955959000 104372929920 105182022400 106003756950 108374448000 108721802000 112695024000 113070674080 117577824000 121147150800 121363872000 124253488000 126218426880 129223627520 130466162400 131477528000 135684808896 139163906560 141338342600 144499264000 149104185600 150260032000 151433938500 155068353024 157773033600 161529534400 163082703000 169606011120 173954883200 176672928250 180913078528 186380232000 193835441280 197216292000 201911918000 208745859840 210364044800 212007513900 216748896000 217443604000 225390048000 226141348160 235155648000 242294301600 242727744000 248506976000 258447255040 260932324800 262955056000 265009392375 271369617792 282676685200 298208371200 302867877000 315546067200 323059068800 326165406000 339212022240 347909766400 353345856500 361826157056 372760464000 387670882560 394432584000 403823836000 417491719680 424015027800 433497792000 434887208000 450780096000 452282696320 484588603200 497013952000 521864649600 525910112000 530018784750 542739235584 565353370400 605735754000 631092134400 646118137600 652330812000 678424044480 695819532800 706691713000 745520928000 775341765120 788865168000 807647672000 848030055600 869774416000 904565392640 969177206400 1043729299200 1051820224000 1060037569500 1085478471168 1130706740800 1211471508000 1292236275200 1304661624000 1356848088960 1413383426000 1491041856000 1577730336000 1615295344000 1696060111200 1739548832000 1809130785280 1938354412800 2087458598400 2120075139000 2261413481600 2422943016000 2609323248000 2713696177920 2826766852000 3155460672000 3230590688000 3392120222400 3479097664000 3876708825600 4240150278000 4522826963200 4845886032000 5218646496000 5427392355840 5653533704000 6461181376000 6784240444800 8480300556000 9045653926400 9691772064000 10437292992000 11307067408000 13568480889600 16960601112000 19383544128000 22614134816000 27136961779200 33921202224000 45228269632000 67842404448000 135684808896000
- Sum of all divisors σ(n): 570937289674752
- Sum of proper divisors (its aliquot sum) s(n): 435252480778752
- 135684808896000 is an abundant number, because the sum of its proper divisors (435252480778752) is greater than itself. Its abundance is 299567671882752
Bases of 135684808896000
- Binary: 111101101100111100101001101010111101110000000002
- Hexadecimal: 0x7B6794D5EE00
- Base-36: 1C3GQNXSLC
Squares and roots of 135684808896000
- 135684808896000 squared (1356848088960002) is 18410367365144040738816000000
- 135684808896000 cubed (1356848088960003) is 2498007177644724219159487609307136000000000
-
The
square root of 135684808896000 is 11648382.2437280963 -
The
cube root of 135684808896000 is 51385.8733826987
Scales and comparisons
How big is 135684808896000?- 135,684,808,896,000 seconds is equal to 4,314,357 years, 11 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 135,684,808,896,000 would take you about ten million, seven hundred eighty-five thousand, eight hundred ninety-three 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 135684808896000 cubic inches would be around 4282.2 feet tall.
Recreational maths with 135684808896000
- 135684808896000 backwards is 000698808486531
- The number of decimal digits it has is: 15
- The sum of 135684808896000's digits is 66
- More coming soon!
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The information we have on file for 135684808896000 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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