137940824000
137,940,824,000 is an even composite number composed of six prime numbers multiplied together.
137940824000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 137940824000:
26 × 53 × 7 × 31 × 181 × 439
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 31 × 181 × 439)See below for interesting mathematical facts about the number 137940824000 from the Numbermatics database.
Names of 137940824000
- Cardinal: 137940824000 can be written as One hundred thirty-seven billion, nine hundred forty million, eight hundred twenty-four thousand.
Scientific notation
- Scientific notation: 1.37940824 × 1011
Factors of 137940824000
Divisors of 137940824000
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 40 50 56 62 64 70 80 100 112 124 125 140 155 160 175 181 200 217 224 248 250 280 310 320 350 362 400 434 439 448 496 500 560 620 700 724 775 800 868 875 878 905 992 1000 1085 1120 1240 1267 1400 1448 1550 1600 1736 1750 1756 1810 1984 2000 2170 2195 2240 2480 2534 2800 2896 3073 3100 3472 3500 3512 3620 3875 4000 4340 4390 4525 4960 5068 5425 5600 5611 5792 6146 6200 6335 6944 7000 7024 7240 7750 8000 8680 8780 9050 9920 10136 10850 10975 11200 11222 11584 12292 12400 12670 13609 13888 14000 14048 14480 15365 15500 17360 17560 18100 20272 21700 21950 22444 22625 24584 24800 25340 27125 27218 28000 28055 28096 28960 30730 31000 31675 34720 35120 36200 39277 40544 43400 43900 44888 45250 49168 49600 50680 54250 54436 54875 56000 56110 57920 61460 62000 63350 68045 69440 70240 72400 76825 78554 79459 81088 86800 87800 89776 90500 95263 98336 101360 108500 108872 109750 112220 122920 124000 126700 136090 140275 140480 144800 153650 157108 158375 158918 173600 175600 179552 181000 190526 196385 196672 202720 217000 217744 219500 224440 245840 248000 253400 272180 280550 289600 307300 314216 316750 317836 340225 347200 351200 359104 362000 381052 384125 392770 397295 405440 434000 435488 439000 448880 476315 491680 506800 544360 556213 561100 614600 628432 633500 635672 680450 701375 702400 724000 762104 768250 785540 794590 868000 870976 878000 897760 952630 981925 983360 1013600 1088720 1112426 1122200 1229200 1256864 1267000 1271344 1360900 1402750 1448000 1524208 1536500 1571080 1589180 1701125 1736000 1756000 1795520 1905260 1963850 1986475 2027200 2177440 2224852 2244400 2381575 2458400 2463229 2513728 2534000 2542688 2721800 2781065 2805500 3048416 3073000 3142160 3178360 3402250 3512000 3810520 3927700 3972950 4354880 4449704 4488800 4763150 4909625 4916800 4926458 5068000 5085376 5443600 5562130 5611000 6096832 6146000 6284320 6356720 6804500 7621040 7855400 7945900 8899408 8977600 9526300 9819250 9852916 9932375 10136000 10887200 11124260 11222000 11907875 12292000 12316145 12568640 12713440 13609000 13905325 15242080 15710800 15891800 17242603 17798816 19052600 19638500 19705832 19864750 21774400 22248520 22444000 23815750 24584000 24632290 25426880 27218000 27810650 30484160 31421600 31783600 34485206 35597632 38105200 39277000 39411664 39729500 44497040 44888000 47631500 49264580 54436000 55621300 61580725 62843200 63567200 68970412 69526625 76210400 78554000 78823328 79459000 86213015 88994080 95263000 98529160 108872000 111242600 123161450 127134400 137940824 139053250 152420800 157108000 157646656 158918000 172426030 177988160 190526000 197058320 222485200 246322900 275881648 278106500 307903625 314216000 317836000 344852060 381052000 394116640 431065075 444970400 492645800 551763296 556213000 615807250 635672000 689704120 762104000 788233280 862130150 889940800 985291600 1103526592 1112426000 1231614500 1379408240 1724260300 1970583200 2155325375 2224852000 2463229000 2758816480 3448520600 3941166400 4310650750 4449704000 4926458000 5517632960 6897041200 8621301500 9852916000 13794082400 17242603000 19705832000 27588164800 34485206000 68970412000 137940824000
- Sum of all divisors σ(n): 406155509760
- Sum of proper divisors (its aliquot sum) s(n): 268214685760
- 137940824000 is an abundant number, because the sum of its proper divisors (268214685760) is greater than itself. Its abundance is 130273861760
Bases of 137940824000
- Binary: 100000000111011110100111101111110000002
- Hexadecimal: 0x201DE9EFC0
- Base-36: 1RDAEKZK
Squares and roots of 137940824000
- 137940824000 squared (1379408240002) is 19027670925798976000000
- 137940824000 cubed (1379408240003) is 2624692606305553607796224000000000
-
The
square root of 137940824000 is 371403.8556611927 -
The
cube root of 137940824000 is 5166.9104974533
Scales and comparisons
How big is 137940824000?- 137,940,824,000 seconds is equal to 4,386 years, 4 weeks, 5 days, 7 hours, 33 minutes, 20 seconds.
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To count from 1 to 137,940,824,000 would take you about eight thousand, seven hundred seventy-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 137940824000 cubic inches would be around 430.6 feet tall.
Recreational maths with 137940824000
- 137940824000 backwards is 000428049731
- The number of decimal digits it has is: 12
- The sum of 137940824000's digits is 38
- More coming soon!
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