136768632913920000
136,768,632,913,920,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 136768632913920000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 4140 divisors.
136768632913920000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand, one hundred forty divisors.
Prime factorization of 136768632913920000:
222 × 3 × 54 × 72 × 31 × 1072
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 31 × 107 × 107)See below for interesting mathematical facts about the number 136768632913920000 from the Numbermatics database.
Names of 136768632913920000
- Cardinal: 136768632913920000 can be written as One hundred thirty-six quadrillion, seven hundred sixty-eight trillion, six hundred thirty-two billion, nine hundred thirteen million, nine hundred twenty thousand.
Scientific notation
- Scientific notation: 1.3676863291392 × 1017
Factors of 136768632913920000
Divisors of 136768632913920000
- Number of divisors d(n): 4140
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 31 32 35 40 42 48 49 50 56 60 62 64 70 75 80 84 93 96 98 100 105 107 112 120 124 125 128 140 147 150 155 160 168 175 186 192 196 200 210 214 217 224 240 245 248 250 256 280 294 300 310 320 321 336 350 372 375 384 392 400 420 428 434 448 465 480 490 496 500 512 525 535 560 588 600 620 625 640 642 651 672 700 735 744 749 750 768 775 784 800 840 856 868 875 896 930 960 980 992 1000 1024 1050 1070 1085 1120 1176 1200 1225 1240 1250 1280 1284 1302 1344 1400 1470 1488 1498 1500 1519 1536 1550 1568 1600 1605 1680 1712 1736 1750 1792 1860 1875 1920 1960 1984 2000 2048 2100 2140 2170 2240 2247 2325 2352 2400 2450 2480 2500 2560 2568 2604 2625 2675 2688 2800 2940 2976 2996 3000 3038 3072 3100 3136 3200 3210 3255 3317 3360 3424 3472 3500 3584 3675 3720 3745 3750 3840 3875 3920 3968 4000 4096 4200 4280 4340 4375 4480 4494 4557 4650 4704 4800 4900 4960 5000 5120 5136 5208 5243 5250 5350 5376 5425 5600 5880 5952 5992 6000 6076 6125 6144 6200 6272 6400 6420 6510 6634 6720 6848 6944 7000 7168 7350 7440 7490 7500 7595 7680 7750 7840 7936 8000 8025 8192 8400 8560 8680 8750 8960 8988 9114 9300 9408 9600 9800 9920 9951 10000 10240 10272 10416 10486 10500 10700 10752 10850 11200 11235 11449 11625 11760 11904 11984 12000 12152 12250 12288 12400 12544 12800 12840 13020 13125 13268 13375 13440 13696 13888 14000 14336 14700 14880 14980 15000 15190 15360 15500 15680 15729 15872 16000 16050 16275 16384 16585 16800 17120 17360 17500 17920 17976 18228 18375 18600 18725 18816 19200 19375 19600 19840 19902 20000 20480 20544 20832 20972 21000 21400 21504 21700 22400 22470 22785 22898 23219 23250 23520 23808 23968 24000 24304 24500 24576 24800 25088 25600 25680 26040 26215 26250 26536 26750 26880 27125 27392 27776 28000 28672 29400 29760 29960 30000 30380 30625 30720 31000 31360 31458 31744 32000 32100 32550 32768 33170 33600 34240 34347 34720 35000 35840 35952 36456 36750 37200 37450 37632 37975 38400 38750 39200 39680 39804 40000 40125 40960 41088 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176475655372800 178084157440000 182358177218560 182601646080000 183828807680000 186079772672000 195383761305600 203524751360000 210090065920000 213035253760000 213700988928000 218829812662272 220594569216000 227947721523200 232599715840000 244229701632000 255642304512000 260511681740800 267126236160000 273537265827840 275743211520000 279119659008000 284934651904000 294126092288000 305287127040000 315135098880000 319552880640000 325639602176000 341921582284800 348899573760000 356168314880000 364716354437120 367657615360000 390767522611200 407049502720000 426070507520000 427401977856000 441189138432000 455895443046400 465199431680000 488459403264000 534252472320000 547074531655680 551486423040000 558239318016000 569869303808000 610574254080000 630270197760000 639105761280000 651279204352000 683843164569600 697799147520000 712336629760000 735315230720000 781535045222400 814099005440000 854803955712000 882378276864000 911790886092800 930398863360000 976918806528000 1068504944640000 1094149063311360 1102972846080000 1139738607616000 1221148508160000 1278211522560000 1302558408704000 1367686329139200 1395598295040000 1424673259520000 1470630461440000 1628198010880000 1709607911424000 1823581772185600 1953837613056000 2137009889280000 2205945692160000 2279477215232000 2442297016320000 2735372658278400 2791196590080000 2849346519040000 3256396021760000 3419215822848000 3907675226112000 4274019778560000 4411891384320000 4558954430464000 4884594032640000 5470745316556800 5698693038080000 6512792043520000 6838431645696000 8548039557120000 9117908860928000 9769188065280000 11397386076160000 13676863291392000 17096079114240000 19538376130560000 22794772152320000 27353726582784000 34192158228480000 45589544304640000 68384316456960000 136768632913920000
- Sum of all divisors σ(n): 552421815697175424
- Sum of proper divisors (its aliquot sum) s(n): 415653182783255424
- 136768632913920000 is an abundant number, because the sum of its proper divisors (415653182783255424) is greater than itself. Its abundance is 278884549869335424
Bases of 136768632913920000
- Binary: 1111001011110011001011000110101010100000000000000000000002
- Hexadecimal: 0x1E5E658D5400000
- Base-36: 11EOFMKNHP1C
Squares and roots of 136768632913920000
- 136768632913920000 squared (1367686329139200002) is 18705658949142601150129766400000000
- 136768632913920000 cubed (1367686329139200003) is 2558347402228266959025280816134160908288000000000000
-
The
square root of 136768632913920000 is 369822434.3031666325 -
The
cube root of 136768632913920000 is 515223.3083342679
Scales and comparisons
How big is 136768632913920000?- 136,768,632,913,920,000 seconds is equal to 4,348,819,473 years, 26 weeks, 1 day, 13 hours, 20 minutes.
-
To count from 1 to 136,768,632,913,920,000 would take you about thirteen billion, forty-six million, four hundred fifty-eight thousand, four hundred twenty 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 136768632913920000 cubic inches would be around 42935.3 feet tall.
Recreational maths with 136768632913920000
- 136768632913920000 backwards is 000029319236867631
- The number of decimal digits it has is: 18
- The sum of 136768632913920000's digits is 66
- More coming soon!
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"Number 136768632913920000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 136768632913920000 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/136768632913920000/
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The information we have on file for 136768632913920000 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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