136438428672000
136,438,428,672,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 136438428672000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 5376 divisors.
136438428672000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five thousand, three hundred seventy-six divisors.
Prime factorization of 136438428672000:
213 × 33 × 53 × 72 × 13 × 61 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 13 × 61 × 127)See below for interesting mathematical facts about the number 136438428672000 from the Numbermatics database.
Names of 136438428672000
- Cardinal: 136438428672000 can be written as One hundred thirty-six trillion, four hundred thirty-eight billion, four hundred twenty-eight million, six hundred seventy-two thousand.
Scientific notation
- Scientific notation: 1.36438428672 × 1014
Factors of 136438428672000
Divisors of 136438428672000
- Number of divisors d(n): 5376
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 30 32 35 36 39 40 42 45 48 49 50 52 54 56 60 61 63 64 65 70 72 75 78 80 84 90 91 96 98 100 104 105 108 112 117 120 122 125 126 127 128 130 135 140 144 147 150 156 160 168 175 180 182 183 189 192 195 196 200 208 210 216 224 225 234 240 244 245 250 252 254 256 260 270 273 280 288 294 300 305 312 315 320 325 336 350 351 360 364 366 375 378 381 384 390 392 400 416 420 427 432 441 448 450 455 468 480 488 490 500 504 508 512 520 525 540 546 549 560 576 585 588 600 610 624 630 635 637 640 650 672 675 700 702 720 728 732 735 750 756 762 768 780 784 793 800 819 832 840 854 864 875 882 889 896 900 910 915 936 945 960 975 976 980 1000 1008 1016 1024 1040 1050 1080 1092 1098 1120 1125 1143 1152 1170 1176 1200 1220 1225 1248 1260 1270 1274 1280 1281 1300 1323 1344 1350 1365 1400 1404 1440 1456 1464 1470 1500 1512 1524 1525 1536 1560 1568 1575 1586 1600 1625 1638 1647 1651 1664 1680 1708 1728 1750 1755 1764 1778 1792 1800 1820 1830 1872 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710616816000 721896448000 745565184000 749661696000 757991270400 779648163840 812133504000 852740179200 874605312000 909589524480 928152576000 947489088000 974560204800 1010655027200 1049526374400 1065925224000 1074318336000 1082844672000 1091507429376 1118347776000 1136986905600 1166140416000 1218200256000 1263318784000 1299413606400 1311907968000 1364384286720 1392228864000 1421233632000 1499323392000 1515982540800 1624267008000 1705480358400 1749210624000 1819179048960 1894978176000 1949120409600 2099052748800 2131850448000 2165689344000 2236695552000 2273973811200 2436400512000 2526637568000 2623815936000 2728768573440 2784457728000 2842467264000 3031965081600 3248534016000 3410960716800 3498421248000 3789956352000 3898240819200 4263700896000 4547947622400 4872801024000 5053275136000 5247631872000 5457537146880 5684934528000 6497068032000 6821921433600 7579912704000 8527401792000 9095895244800 9745602048000 10495263744000 11369869056000 13643842867200 15159825408000 17054803584000 19491204096000 22739738112000 27287685734400 34109607168000 45479476224000 68219214336000 136438428672000
- Sum of all divisors σ(n): 647414722805760
- Sum of proper divisors (its aliquot sum) s(n): 510976294133760
- 136438428672000 is an abundant number, because the sum of its proper divisors (510976294133760) is greater than itself. Its abundance is 374537865461760
Bases of 136438428672000
- Binary: 111110000010111000011000001001100100000000000002
- Hexadecimal: 0x7C170C132000
- Base-36: 1CD2Y5P1C0
Squares and roots of 136438428672000
- 136438428672000 squared (1364384286720002) is 18615444818484431683584000000
- 136438428672000 cubed (1364384286720003) is 2539862040064340119403132457320448000000000
-
The
square root of 136438428672000 is 11680686.1387505827 -
The
cube root of 136438428672000 is 51480.8334964293
Scales and comparisons
How big is 136438428672000?- 136,438,428,672,000 seconds is equal to 4,338,320 years.
-
To count from 1 to 136,438,428,672,000 would take you about ten million, eight hundred forty-five thousand, eight hundred 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 136438428672000 cubic inches would be around 4290.1 feet tall.
Recreational maths with 136438428672000
- 136438428672000 backwards is 000276824834631
- 136438428672000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 136438428672000's digits is 54
- More coming soon!
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"Number 136438428672000 - Facts about the integer". Numbermatics.com. 2024. Web. 1 May 2024.
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The information we have on file for 136438428672000 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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