137393680868352000
137,393,680,868,352,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 137393680868352000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2688 divisors.
137393680868352000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 137393680868352000:
213 × 33 × 53 × 232 × 2113
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 23 × 23 × 211 × 211 × 211)See below for interesting mathematical facts about the number 137393680868352000 from the Numbermatics database.
Names of 137393680868352000
- Cardinal: 137393680868352000 can be written as One hundred thirty-seven quadrillion, three hundred ninety-three trillion, six hundred eighty billion, eight hundred sixty-eight million, three hundred fifty-two thousand.
Scientific notation
- Scientific notation: 1.37393680868352 × 1017
Factors of 137393680868352000
Divisors of 137393680868352000
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 27 30 32 36 40 45 46 48 50 54 60 64 69 72 75 80 90 92 96 100 108 115 120 125 128 135 138 144 150 160 180 184 192 200 207 211 216 225 230 240 250 256 270 276 288 300 320 345 360 368 375 384 400 414 422 432 450 460 480 500 512 529 540 552 575 576 600 621 633 640 675 690 720 736 750 768 800 828 844 864 900 920 960 1000 1024 1035 1055 1058 1080 1104 1125 1150 1152 1200 1242 1266 1280 1350 1380 1440 1472 1500 1536 1587 1600 1656 1688 1725 1728 1800 1840 1899 1920 2000 2048 2070 2110 2116 2160 2208 2250 2300 2304 2400 2484 2532 2560 2645 2700 2760 2875 2880 2944 3000 3072 3105 3165 3174 3200 3312 3375 3376 3450 3456 3600 3680 3798 3840 4000 4096 4140 4220 4232 4320 4416 4500 4600 4608 4761 4800 4853 4968 5064 5120 5175 5275 5290 5400 5520 5697 5750 5760 5888 6000 6144 6210 6330 6348 6400 6624 6750 6752 6900 6912 7200 7360 7596 7680 7935 8000 8192 8280 8440 8464 8625 8640 8832 9000 9200 9216 9495 9522 9600 9706 9936 10128 10240 10350 10550 10580 10800 11040 11394 11500 11520 11776 12000 12288 12420 12660 12696 12800 13225 13248 13500 13504 13800 13824 14283 14400 14559 14720 15192 15360 15525 15825 15870 16000 16560 16880 16928 17250 17280 17664 18000 18400 18432 18990 19044 19200 19412 19872 20256 20480 20700 21100 21160 21600 22080 22788 23000 23040 23552 23805 24000 24265 24576 24840 25320 25392 25600 25875 26375 26450 26496 27000 27008 27600 27648 28485 28566 28800 29118 29440 30384 30720 31050 31650 31740 32000 33120 33760 33856 34500 34560 35328 36000 36800 36864 37980 38088 38400 38824 39675 39744 40512 40960 41400 42200 42320 43200 43677 44160 44521 45576 46000 46080 47104 47475 47610 48000 48530 49680 50640 50784 51200 51750 52750 52900 52992 54000 54016 55200 55296 56970 57132 57600 58236 58880 60768 61440 62100 63300 63480 64000 66125 66240 67520 67712 69000 69120 70656 71415 72000 72795 73600 73728 75960 76176 76800 77625 77648 79125 79350 79488 81024 82800 84400 84640 86400 87354 88320 89042 91152 92000 92160 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67086758236500 68696840434176 71559208785600 72350542848000 74670478732800 76329822704640 79510231984000 79648510648320 81394360704000 82967198592000 85871050542720 86574468096000 89449010982000 91595787245568 93338098416000 95412278380800 99560638310400 101773096939520 107338813178400 108525814272000 110622931456000 114494734056960 119265347976000 119472765972480 122127716327424 124450797888000 127216371174400 129861702144000 130230977126400 132747517747200 134173516473000 137393680868352 143118417571200 149340957465600 152659645409280 159020463968000 162788721408000 165934397184000 171742101085440 178898021964000 183191574491136 186676196832000 190824556761600 199121276620800 203546193879040 214677626356800 217051628544000 221245862912000 228989468113920 238530695952000 238945531944960 248901595776000 254432742348800 259723404288000 268347032946000 274787361736704 286236835142400 298681914931200 305319290818560 318040927936000 325577442816000 331868794368000 343484202170880 357796043928000 366383148982272 373352393664000 381649113523200 398242553241600 429355252713600 457978936227840 477061391904000 497803191552000 508865484697600 536694065892000 549574723473408 572473670284800 597363829862400 610638581637120 636081855872000 651154885632000 663737588736000 686968404341760 715592087856000 746704787328000 763298227046400 858710505427200 915957872455680 954122783808000 995606383104000 1017730969395200 1073388131784000 1099149446946816 1144947340569600 1194727659724800 1272163711744000 1373936808683520 1431184175712000 1493409574656000 1526596454092800 1717421010854400 1831915744911360 1908245567616000 1991212766208000 2146776263568000 2289894681139200 2544327423488000 2747873617367040 2862368351424000 2986819149312000 3053192908185600 3434842021708800 3816491135232000 4293552527136000 4579789362278400 5088654846976000 5495747234734080 5724736702848000 5973638298624000 6869684043417600 7632982270464000 8587105054272000 9159578724556800 11449473405696000 13739368086835200 15265964540928000 17174210108544000 22898946811392000 27478736173670400 34348420217088000 45797893622784000 68696840434176000 137393680868352000
- Sum of all divisors σ(n): 533597367691664640
- Sum of proper divisors (its aliquot sum) s(n): 396203686823312640
- 137393680868352000 is an abundant number, because the sum of its proper divisors (396203686823312640) is greater than itself. Its abundance is 258810005954960640
Bases of 137393680868352000
- Binary: 1111010000001111011010011001001101000101010100000000000002
- Hexadecimal: 0x1E81ED3268AA000
- Base-36: 11KTZTN1ATC0
Squares and roots of 137393680868352000
- 137393680868352000 squared (1373936808683520002) is 18877023542554554384755195904000000
- 137393680868352000 cubed (1373936808683520003) is 2593583748350107974905984673482430593630208000000000
-
The
square root of 137393680868352000 is 370666535.9434973325 -
The
cube root of 137393680868352000 is 516006.9917581553
Scales and comparisons
How big is 137393680868352000?- 137,393,680,868,352,000 seconds is equal to 4,368,694,065 years, 2 weeks, 6 days.
-
To count from 1 to 137,393,680,868,352,000 would take you about thirteen billion, one hundred six million, eighty-two thousand, one hundred ninety-five 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 137393680868352000 cubic inches would be around 43000.6 feet tall.
Recreational maths with 137393680868352000
- 137393680868352000 backwards is 000253868086393731
- 137393680868352000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137393680868352000's digits is 72
- More coming soon!
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Cite this page
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"Number 137393680868352000 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 137393680868352000 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/137393680868352000/
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The information we have on file for 137393680868352000 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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