137208190680000
137,208,190,680,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 137208190680000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 6720 divisors.
137208190680000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of six thousand, seven hundred twenty divisors.
Prime factorization of 137208190680000:
26 × 35 × 54 × 11 × 17 × 19 × 29 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 11 × 17 × 19 × 29 × 137)See below for interesting mathematical facts about the number 137208190680000 from the Numbermatics database.
Names of 137208190680000
- Cardinal: 137208190680000 can be written as One hundred thirty-seven trillion, two hundred eight billion, one hundred ninety million, six hundred eighty thousand.
Scientific notation
- Scientific notation: 1.3720819068 × 1014
Factors of 137208190680000
Divisors of 137208190680000
- Number of divisors d(n): 6720
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 19 20 22 24 25 27 29 30 32 33 34 36 38 40 44 45 48 50 51 54 55 57 58 60 64 66 68 72 75 76 80 81 85 87 88 90 95 96 99 100 102 108 110 114 116 120 125 132 135 136 137 144 145 150 152 153 160 162 165 170 171 174 176 180 187 190 192 198 200 204 209 216 220 225 228 232 240 243 250 255 261 264 270 272 274 275 285 288 290 297 300 304 306 319 320 323 324 330 340 342 348 352 360 374 375 380 396 400 405 408 411 418 425 432 435 440 450 456 459 464 475 480 486 493 495 500 510 513 522 528 540 544 548 550 551 561 570 576 580 594 600 608 612 625 627 638 646 648 660 675 680 684 685 696 704 720 725 748 750 760 765 783 792 800 810 816 822 825 836 850 855 864 870 880 891 900 912 918 928 935 950 957 960 969 972 986 990 1000 1020 1026 1044 1045 1056 1080 1088 1096 1100 1102 1122 1125 1140 1160 1188 1200 1215 1216 1224 1233 1250 1254 1275 1276 1292 1296 1305 1320 1350 1360 1368 1370 1375 1377 1392 1425 1440 1450 1479 1485 1496 1500 1507 1520 1530 1539 1566 1584 1595 1600 1615 1620 1632 1644 1650 1653 1672 1683 1700 1710 1728 1740 1760 1782 1800 1824 1836 1856 1870 1875 1881 1900 1914 1938 1944 1972 1980 2000 2025 2040 2052 2055 2088 2090 2112 2125 2160 2175 2192 2200 2204 2244 2250 2280 2295 2320 2329 2349 2375 2376 2400 2430 2448 2465 2466 2475 2500 2508 2550 2552 2565 2584 2592 2603 2610 2640 2673 2700 2720 2736 2740 2750 2754 2755 2784 2805 2850 2871 2880 2900 2907 2958 2970 2992 3000 3014 3040 3060 3078 3132 3135 3168 3190 3230 3240 3264 3288 3300 3306 3344 3366 3375 3400 3420 3425 3480 3520 3553 3564 3600 3625 3648 3672 3699 3740 3750 3762 3800 3825 3828 3876 3888 3915 3944 3960 3973 4000 4050 4080 4104 4110 4125 4131 4176 4180 4250 4275 4320 4350 4384 4400 4408 4437 4455 4488 4500 4521 4560 4590 4617 4640 4658 4675 4698 4750 4752 4785 4800 4845 4860 4896 4930 4932 4950 4959 5000 5016 5049 5100 5104 5130 5168 5184 5206 5220 5225 5280 5346 5400 5423 5440 5472 5480 5500 5508 5510 5568 5610 5625 5643 5700 5742 5800 5814 5916 5940 5984 6000 6028 6061 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- Sum of all divisors σ(n): 645714035366400
- Sum of proper divisors (its aliquot sum) s(n): 508505844686400
- 137208190680000 is an abundant number, because the sum of its proper divisors (508505844686400) is greater than itself. Its abundance is 371297654006400
Bases of 137208190680000
- Binary: 111110011001010010001010111011100111011110000002
- Hexadecimal: 0x7CCA45773BC0
- Base-36: 1CMWKM4C00
Squares and roots of 137208190680000
- 137208190680000 squared (1372081906800002) is 18826087589679238862400000000
- 137208190680000 cubed (1372081906800003) is 2583093415763090605869445482432000000000000
-
The
square root of 137208190680000 is 11713589.9996542477 -
The
cube root of 137208190680000 is 51577.4673116685
Scales and comparisons
How big is 137208190680000?- 137,208,190,680,000 seconds is equal to 4,362,796 years, 2 weeks, 4 days, 12 hours.
-
To count from 1 to 137,208,190,680,000 would take you about ten million, nine hundred six thousand, nine hundred ninety 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 137208190680000 cubic inches would be around 4298.1 feet tall.
Recreational maths with 137208190680000
- 137208190680000 backwards is 000086091802731
- 137208190680000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137208190680000's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 137208190680000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 May 2024.
APA style:
Numbermatics. (2024). Number 137208190680000 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/137208190680000/
Chicago style:
Numbermatics. 2024. "Number 137208190680000 - Facts about the integer". https://numbermatics.com/n/137208190680000/
The information we have on file for 137208190680000 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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