3980688990768000
3,980,688,990,768,000 is an even composite number composed of six prime numbers multiplied together.
3980688990768000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 3980688990768000:
27 × 35 × 53 × 72 × 43 × 485923
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 43 × 485923)See below for interesting mathematical facts about the number 3980688990768000 from the Numbermatics database.
Names of 3980688990768000
- Cardinal: 3980688990768000 can be written as Three quadrillion, nine hundred eighty trillion, six hundred eighty-eight billion, nine hundred ninety million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 3.980688990768 × 1015
Factors of 3980688990768000
Divisors of 3980688990768000
- Number of divisors d(n): 2304
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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 43 45 48 49 50 54 56 60 63 64 70 72 75 80 81 84 86 90 96 98 100 105 108 112 120 125 126 128 129 135 140 144 147 150 160 162 168 172 175 180 189 192 196 200 210 215 216 224 225 240 243 245 250 252 258 270 280 288 294 300 301 315 320 324 336 344 350 360 375 378 384 387 392 400 405 420 430 432 441 448 450 480 486 490 500 504 516 525 540 560 567 576 588 600 602 630 640 645 648 672 675 688 700 720 735 750 756 774 784 800 810 840 860 864 875 882 896 900 903 945 960 972 980 1000 1008 1032 1050 1075 1080 1120 1125 1134 1152 1161 1176 1200 1204 1215 1225 1260 1290 1296 1323 1344 1350 1376 1400 1440 1470 1500 1505 1512 1548 1568 1575 1600 1620 1680 1701 1720 1728 1750 1764 1800 1806 1890 1920 1935 1944 1960 2000 2016 2025 2064 2100 2107 2150 2160 2205 2240 2250 2268 2322 2352 2400 2408 2430 2450 2520 2580 2592 2625 2646 2688 2700 2709 2752 2800 2835 2880 2940 3000 3010 3024 3096 3136 3150 3200 3225 3240 3360 3375 3402 3440 3456 3483 3500 3528 3600 3612 3675 3780 3870 3888 3920 3969 4000 4032 4050 4128 4200 4214 4300 4320 4410 4480 4500 4515 4536 4644 4704 4725 4800 4816 4860 4900 5040 5160 5184 5250 5292 5375 5400 5418 5504 5600 5670 5760 5805 5880 6000 6020 6048 6075 6125 6192 6272 6300 6321 6450 6480 6615 6720 6750 6804 6880 6966 7000 7056 7200 7224 7350 7525 7560 7740 7776 7840 7875 7938 8000 8064 8100 8127 8256 8400 8428 8505 8600 8640 8820 9000 9030 9072 9288 9408 9450 9600 9632 9675 9720 9800 10080 10125 10320 10368 10449 10500 10535 10584 10750 10800 10836 11025 11200 11340 11610 11760 11907 12000 12040 12096 12150 12250 12384 12600 12642 12900 12960 13230 13440 13500 13545 13608 13760 13932 14000 14112 14175 14400 14448 14700 15050 15120 15480 15552 15680 15750 15876 16000 16125 16200 16254 16512 16800 16856 17010 17200 17280 17415 17640 18000 18060 18144 18375 18576 18816 18900 18963 19264 19350 19440 19600 19845 20160 20250 20640 20898 21000 21070 21168 21500 21600 21672 22050 22400 22575 22680 23220 23520 23625 23814 24000 24080 24192 24300 24381 24500 24768 25200 25284 25800 25920 26460 27000 27090 27216 27520 27864 28000 28224 28350 28800 28896 29025 29400 30100 30240 30375 30960 31104 31360 31500 31605 31752 32250 32400 32508 33075 33600 33712 34020 34400 34830 35280 36000 36120 36288 36750 37152 37625 37800 37926 38528 38700 38880 39200 39690 40320 40500 40635 41280 41796 42000 42140 42336 42525 43000 43200 43344 44100 45150 45360 46440 47040 47250 47628 48000 48160 48375 48600 48762 49000 49536 50400 50568 51600 51840 52245 52675 52920 54000 54180 54432 55125 55728 56000 56448 56700 56889 57792 58050 58800 59535 60200 60480 60750 61920 63000 63210 63504 64500 64800 65016 66150 67200 67424 67725 68040 68800 69660 70560 70875 72000 72240 72576 73143 73500 74304 75250 75600 75852 77400 77760 78400 79380 81000 81270 82560 83592 84000 84280 84672 85050 86000 86400 86688 87075 88200 90300 90720 92880 94080 94500 94815 95256 96320 96750 97200 97524 98000 99225 100800 101136 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3159276976800 3249542033280 3276287235200 3306220092000 3317240825640 3384939618000 3428672688000 3455459193375 3510307752000 3538390214016 3554186598900 3685823139600 3702966503040 3791132372160 3857256774000 3949096221000 3980688990768 4061927541600 4095359044000 4146551032050 4212369302400 4408293456000 4422987767520 4442733248625 4513252824000 4549358846592 4607278924500 4628708128800 4738915465200 4914430852800 4975861238460 5077409427000 5143009032000 5265461628000 5307585321024 5415903388800 5528734709400 5686698558240 5785885161000 5897317023360 5923644331500 6143038566000 6171610838400 6219826548075 6318553953600 6612440184000 6634481651280 6769879236000 6910918386750 7020615504000 7108373197800 7371646279200 7582264744320 7714513548000 7898192442000 7961377981536 8123855083200 8190718088000 8293102064100 8845975535040 8885466497250 9026505648000 9214557849000 9257416257600 9477830930400 9828861705600 9951722476920 10154818854000 10286018064000 10366377580125 10530923256000 10615170642048 11057469418800 11373397116480 11571770322000 11847288663000 12286077132000 12439653096150 12637107907200 13224880368000 13268963302560 13539758472000 13821836773500 14216746395600 14743292558400 15429027096000 15796384884000 15922755963072 16247710166400 16381436176000 16586204128200 17691951070080 17770932994500 18429115698000 18514832515200 18955661860800 19903444953840 20309637708000 20732755160250 21061846512000 22114938837600 22746794232960 23143540644000 23694577326000 24572154264000 24879306192300 26537926605120 27079516944000 27643673547000 28433492791200 29486585116800 30858054192000 31099132740375 31592769768000 31845511926144 33172408256400 35541865989000 36858231396000 37911323721600 39806889907680 40619275416000 41465510320500 44229877675200 46287081288000 47389154652000 49144308528000 49758612384600 53075853210240 55287347094000 56866985582400 62198265480750 63185539536000 66344816512800 71083731978000 73716462792000 79613779815360 81238550832000 82931020641000 88459755350400 92574162576000 94778309304000 99517224769200 110574694188000 113733971164800 124396530961500 132689633025600 142167463956000 147432925584000 159227559630720 165862041282000 189556618608000 199034449538400 221149388376000 248793061923000 265379266051200 284334927912000 331724082564000 398068899076800 442298776752000 497586123846000 568669855824000 663448165128000 796137798153600 995172247692000 1326896330256000 1990344495384000 3980688990768000
- Sum of all divisors σ(n): 17646640740368640
- Sum of proper divisors (its aliquot sum) s(n): 13665951749600640
- 3980688990768000 is an abundant number, because the sum of its proper divisors (13665951749600640) is greater than itself. Its abundance is 9685262758832640
Bases of 3980688990768000
- Binary: 11100010010001101010011000010100000110001011100000002
- Hexadecimal: 0xE246A61418B80
- Base-36: 1371B9YRC00
Squares and roots of 3980688990768000
- 3980688990768000 squared (39806889907680002) is 15845884841221558389229824000000
- 3980688990768000 cubed (39806889907680003) is 63077539336428195188707451819366264832000000000
-
The
square root of 3980688990768000 is 63092701.5649829343 -
The
cube root of 3980688990768000 is 158484.2403669239
Scales and comparisons
How big is 3980688990768000?- 3,980,688,990,768,000 seconds is equal to 126,573,596 years, 43 weeks.
-
To count from 1 to 3,980,688,990,768,000 would take you about three hundred seventy-nine million, seven hundred twenty thousand, seven hundred ninety 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 3980688990768000 cubic inches would be around 13207 feet tall.
Recreational maths with 3980688990768000
- 3980688990768000 backwards is 0008670998860893
- 3980688990768000 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 3980688990768000's digits is 81
- More coming soon!
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"Number 3980688990768000 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 3980688990768000 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/3980688990768000/
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The information we have on file for 3980688990768000 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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