137231834688000
137,231,834,688,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 137231834688000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 5120 divisors.
137231834688000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of five thousand, one hundred twenty divisors.
Prime factorization of 137231834688000:
29 × 33 × 53 × 13 × 17 × 43 × 61 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 17 × 43 × 61 × 137)See below for interesting mathematical facts about the number 137231834688000 from the Numbermatics database.
Names of 137231834688000
- Cardinal: 137231834688000 can be written as One hundred thirty-seven trillion, two hundred thirty-one billion, eight hundred thirty-four million, six hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 1.37231834688 × 1014
Factors of 137231834688000
Divisors of 137231834688000
- Number of divisors d(n): 5120
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 25 26 27 30 32 34 36 39 40 43 45 48 50 51 52 54 60 61 64 65 68 72 75 78 80 85 86 90 96 100 102 104 108 117 120 122 125 128 129 130 135 136 137 144 150 153 156 160 170 172 180 183 192 195 200 204 208 215 216 221 225 234 240 244 250 255 256 258 260 270 272 274 288 300 305 306 312 320 325 340 344 351 360 366 375 384 387 390 400 408 411 416 425 430 432 442 450 459 468 480 488 500 510 512 516 520 540 544 548 549 559 576 585 600 610 612 624 640 645 650 663 675 680 685 688 702 720 731 732 750 765 768 774 780 793 800 816 822 832 850 860 864 884 900 915 918 936 960 975 976 1000 1020 1032 1037 1040 1075 1080 1088 1096 1098 1105 1118 1125 1152 1161 1170 1200 1220 1224 1233 1248 1275 1280 1290 1300 1326 1350 1360 1370 1376 1404 1440 1462 1464 1500 1525 1530 1536 1548 1560 1586 1600 1625 1632 1644 1647 1664 1677 1700 1720 1728 1755 1768 1781 1800 1830 1836 1872 1920 1935 1950 1952 1989 2000 2040 2055 2064 2074 2080 2125 2150 2160 2176 2192 2193 2196 2210 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857698966800 879691248000 896940096000 914878897920 952998852000 1001692224000 1009057608000 1016532108800 1055629497600 1063812672000 1072123708500 1097854677504 1124851104000 1143598622400 1172921664000 1270665136000 1319536872000 1345410144000 1372318346880 1429498278000 1524798163200 1595719008000 1614492172800 1715397933600 1759382496000 1829757795840 1905997704000 2018115216000 2111258995200 2144247417000 2249702208000 2287197244800 2541330272000 2639073744000 2690820288000 2744636693760 2858996556000 3049596326400 3191438016000 3430795867200 3518764992000 3811995408000 4036230432000 4288494834000 4574394489600 5082660544000 5278147488000 5489273387520 5717993112000 6861591734400 7623990816000 8072460864000 8576989668000 9148788979200 10556294976000 11435986224000 13723183468800 15247981632000 17153979336000 22871972448000 27446366937600 34307958672000 45743944896000 68615917344000 137231834688000
- Sum of all divisors σ(n): 605597699266560
- Sum of proper divisors (its aliquot sum) s(n): 468365864578560
- 137231834688000 is an abundant number, because the sum of its proper divisors (468365864578560) is greater than itself. Its abundance is 331134029890560
Bases of 137231834688000
- Binary: 111110011001111110001101100001000101010000000002
- Hexadecimal: 0x7CCFC6C22A00
- Base-36: 1CN7FN5HC0
Squares and roots of 137231834688000
- 137231834688000 squared (1372318346880002) is 18832576451834560057344000000
- 137231834688000 cubed (1372318346880003) is 2584429018387281940114639608348672000000000
-
The
square root of 137231834688000 is 11714599.2115821017 -
The
cube root of 137231834688000 is 51580.4297878919
Scales and comparisons
How big is 137231834688000?- 137,231,834,688,000 seconds is equal to 4,363,547 years, 44 weeks, 4 days.
-
To count from 1 to 137,231,834,688,000 would take you about ten million, nine hundred eight thousand, eight hundred sixty-nine 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 137231834688000 cubic inches would be around 4298.4 feet tall.
Recreational maths with 137231834688000
- 137231834688000 backwards is 000886438132731
- 137231834688000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137231834688000's digits is 54
- More coming soon!
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"Number 137231834688000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 137231834688000 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/137231834688000/
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The information we have on file for 137231834688000 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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