137680238592000000
137,680,238,592,000,000 is an even composite number composed of five prime numbers multiplied together.
137680238592000000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four thousand, five hundred thirty-six divisors.
Prime factorization of 137680238592000000:
217 × 35 × 56 × 132 × 1637
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 13 × 13 × 1637)See below for interesting mathematical facts about the number 137680238592000000 from the Numbermatics database.
Names of 137680238592000000
- Cardinal: 137680238592000000 can be written as One hundred thirty-seven quadrillion, six hundred eighty trillion, two hundred thirty-eight billion, five hundred ninety-two million.
Scientific notation
- Scientific notation: 1.37680238592 × 1017
Factors of 137680238592000000
Divisors of 137680238592000000
- Number of divisors d(n): 4536
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 64 65 72 75 78 80 81 90 96 100 104 108 117 120 125 128 130 135 144 150 156 160 162 169 180 192 195 200 208 216 225 234 240 243 250 256 260 270 288 300 312 320 324 325 338 351 360 375 384 390 400 405 416 432 450 468 480 486 500 507 512 520 540 576 585 600 624 625 640 648 650 675 676 702 720 750 768 780 800 810 832 845 864 900 936 960 972 975 1000 1014 1024 1040 1053 1080 1125 1152 1170 1200 1215 1248 1250 1280 1296 1300 1350 1352 1404 1440 1500 1521 1536 1560 1600 1620 1625 1637 1664 1690 1728 1755 1800 1872 1875 1920 1944 1950 2000 2025 2028 2048 2080 2106 2160 2250 2304 2340 2400 2430 2496 2500 2535 2560 2592 2600 2700 2704 2808 2880 2925 3000 3042 3072 3120 3125 3159 3200 3240 3250 3274 3328 3375 3380 3456 3510 3600 3744 3750 3840 3888 3900 4000 4050 4056 4096 4160 4212 4225 4320 4500 4563 4608 4680 4800 4860 4875 4911 4992 5000 5070 5120 5184 5200 5265 5400 5408 5616 5625 5760 5850 6000 6075 6084 6144 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1075626864000000 1101441908736000 1147335321600000 1176754176000000 1274817024000000 1323848448000000 1376802385920000 1434169152000000 1529780428800000 1699756032000000 1721002982400000 1765131264000000 1835736514560000 1912225536000000 2118157516800000 2151253728000000 2294670643200000 2549634048000000 2647696896000000 2753604771840000 2868338304000000 3059560857600000 3442005964800000 3530262528000000 3824451072000000 4302507456000000 4589341286400000 5099268096000000 5295393792000000 5507209543680000 5736676608000000 6884011929600000 7648902144000000 8605014912000000 9178682572800000 10590787584000000 11473353216000000 13768023859200000 15297804288000000 17210029824000000 22946706432000000 27536047718400000 34420059648000000 45893412864000000 68840119296000000 137680238592000000
- Sum of all divisors σ(n): 558636253020839448
- Sum of proper divisors (its aliquot sum) s(n): 420956014428839448
- 137680238592000000 is an abundant number, because the sum of its proper divisors (420956014428839448) is greater than itself. Its abundance is 283275775836839448
Bases of 137680238592000000
- Binary: 1111010010010001101110010100100011101111000000000000000002
- Hexadecimal: 0x1E9237291DE0000
- Base-36: 11NNKKFV9C00
Squares and roots of 137680238592000000
- 137680238592000000 squared (1376802385920000002) is 18955848098750046142464000000000000
- 137680238592000000 cubed (1376802385920000003) is 2609845688949615929865452742770688000000000000000000
-
The
square root of 137680238592000000 is 371052878.4310936995 -
The
cube root of 137680238592000000 is 516365.4825496501
Scales and comparisons
How big is 137680238592000000?- 137,680,238,592,000,000 seconds is equal to 4,377,805,714 years, 14 weeks, 6 days.
-
To count from 1 to 137,680,238,592,000,000 would take you about thirteen billion, one hundred thirty-three million, four hundred seventeen thousand, one hundred forty-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 137680238592000000 cubic inches would be around 43030.5 feet tall.
Recreational maths with 137680238592000000
- 137680238592000000 backwards is 000000295832086731
- 137680238592000000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137680238592000000's digits is 54
- More coming soon!
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The information we have on file for 137680238592000000 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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