137904138247680000
137,904,138,247,680,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 137904138247680000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 4680 divisors.
137904138247680000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four thousand, six hundred eighty divisors.
Prime factorization of 137904138247680000:
212 × 37 × 54 × 72 × 7092
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 709 × 709)See below for interesting mathematical facts about the number 137904138247680000 from the Numbermatics database.
Names of 137904138247680000
- Cardinal: 137904138247680000 can be written as One hundred thirty-seven quadrillion, nine hundred four trillion, one hundred thirty-eight billion, two hundred forty-seven million, six hundred eighty thousand.
Scientific notation
- Scientific notation: 1.3790413824768 × 1017
Factors of 137904138247680000
Divisors of 137904138247680000
- Number of divisors d(n): 4680
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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 45 48 49 50 54 56 60 63 64 70 72 75 80 81 84 90 96 98 100 105 108 112 120 125 126 128 135 140 144 147 150 160 162 168 175 180 189 192 196 200 210 216 224 225 240 243 245 250 252 256 270 280 288 294 300 315 320 324 336 350 360 375 378 384 392 400 405 420 432 441 448 450 480 486 490 500 504 512 525 540 560 567 576 588 600 625 630 640 648 672 675 700 709 720 729 735 750 756 768 784 800 810 840 864 875 882 896 900 945 960 972 980 1000 1008 1024 1050 1080 1120 1125 1134 1152 1176 1200 1215 1225 1250 1260 1280 1296 1323 1344 1350 1400 1418 1440 1458 1470 1500 1512 1536 1568 1575 1600 1620 1680 1701 1728 1750 1764 1792 1800 1875 1890 1920 1944 1960 2000 2016 2025 2048 2100 2127 2160 2187 2205 2240 2250 2268 2304 2352 2400 2430 2450 2500 2520 2560 2592 2625 2646 2688 2700 2800 2835 2836 2880 2916 2940 3000 3024 3072 3136 3150 3200 3240 3360 3375 3402 3456 3500 3528 3545 3584 3600 3645 3675 3750 3780 3840 3888 3920 3969 4000 4032 4050 4096 4200 4254 4320 4374 4375 4410 4480 4500 4536 4608 4704 4725 4800 4860 4900 4963 5000 5040 5103 5120 5184 5250 5292 5376 5400 5600 5625 5670 5672 5760 5832 5880 6000 6048 6075 6125 6144 6272 6300 6381 6400 6480 6615 6720 6750 6804 6912 7000 7056 7090 7168 7200 7290 7350 7500 7560 7680 7776 7840 7875 7938 8000 8064 8100 8400 8505 8508 8640 8748 8750 8820 8960 9000 9072 9216 9408 9450 9600 9720 9800 9926 10000 10080 10125 10206 10240 10368 10500 10584 10635 10752 10800 10935 11025 11200 11250 11340 11344 11520 11664 11760 11907 12000 12096 12150 12250 12288 12544 12600 12762 12800 12960 13125 13230 13440 13500 13608 13824 14000 14112 14175 14180 14336 14400 14580 14700 14889 15000 15120 15309 15360 15552 15680 15750 15876 16000 16128 16200 16800 16875 17010 17016 17280 17496 17500 17640 17725 17920 18000 18144 18225 18375 18432 18816 18900 19143 19200 19440 19600 19845 19852 20000 20160 20250 20412 20480 20736 21000 21168 21270 21504 21600 21870 22050 22400 22500 22680 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574600576032000 612907281100800 615643474320000 638445084480000 656686372608000 689520691238400 703592542080000 718250720040000 729651525120000 766134101376000 788023647129600 820857965760000 851260112640000 861900864048000 919360921651200 938123389440000 957667626720000 985029558912000 1021512135168000 1077376080060000 1094477287680000 1103233105981440 1149201152064000 1231286948640000 1276890168960000 1313372745216000 1379041382476800 1407185084160000 1436501440080000 1532268202752000 1641715931520000 1702520225280000 1723801728096000 1838721843302400 1915335253440000 1970059117824000 2154752160120000 2188954575360000 2298402304128000 2462573897280000 2553780337920000 2758082764953600 2814370168320000 2873002880160000 3064536405504000 3283431863040000 3447603456192000 3830670506880000 3940118235648000 4309504320240000 4596804608256000 4925147794560000 5107560675840000 5516165529907200 5746005760320000 6566863726080000 6895206912384000 7661341013760000 8619008640480000 9193609216512000 9850295589120000 11492011520640000 13790413824768000 15322682027520000 17238017280960000 19700591178240000 22984023041280000 27580827649536000 34476034561920000 45968046082560000 68952069123840000 137904138247680000
- Sum of all divisors σ(n): 602063232250732560
- Sum of proper divisors (its aliquot sum) s(n): 464159094003052560
- 137904138247680000 is an abundant number, because the sum of its proper divisors (464159094003052560) is greater than itself. Its abundance is 326254955755372560
Bases of 137904138247680000
- Binary: 1111010011110111100010101010001010100111100110000000000002
- Hexadecimal: 0x1E9EF15454F3000
- Base-36: 11PUXQITC000
Squares and roots of 137904138247680000
- 137904138247680000 squared (1379041382476800002) is 19017551345835237861025382400000000
- 137904138247680000 cubed (1379041382476800003) is 2622599029928415484586140869411137912832000000000000
-
The
square root of 137904138247680000 is 371354464.4240594019 -
The
cube root of 137904138247680000 is 516645.2405353297
Scales and comparisons
How big is 137904138247680000?- 137,904,138,247,680,000 seconds is equal to 4,384,925,030 years, 40 weeks.
-
To count from 1 to 137,904,138,247,680,000 would take you about thirteen billion, one hundred fifty-four million, seven hundred seventy-five thousand and ninety-two 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 137904138247680000 cubic inches would be around 43053.8 feet tall.
Recreational maths with 137904138247680000
- 137904138247680000 backwards is 000086742831409731
- 137904138247680000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137904138247680000's digits is 63
- More coming soon!
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"Number 137904138247680000 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 137904138247680000 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/137904138247680000/
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The information we have on file for 137904138247680000 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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