137385823680000
137,385,823,680,000 is an even composite number composed of six prime numbers multiplied together.
137385823680000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five thousand, six hundred divisors.
Prime factorization of 137385823680000:
29 × 36 × 54 × 73 × 17 × 101
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 17 × 101)See below for interesting mathematical facts about the number 137385823680000 from the Numbermatics database.
Names of 137385823680000
- Cardinal: 137385823680000 can be written as One hundred thirty-seven trillion, three hundred eighty-five billion, eight hundred twenty-three million, six hundred eighty thousand.
Scientific notation
- Scientific notation: 1.3738582368 × 1014
Factors of 137385823680000
Divisors of 137385823680000
- Number of divisors d(n): 5600
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 25 27 28 30 32 34 35 36 40 42 45 48 49 50 51 54 56 60 63 64 68 70 72 75 80 81 84 85 90 96 98 100 101 102 105 108 112 119 120 125 126 128 135 136 140 144 147 150 153 160 162 168 170 175 180 189 192 196 200 202 204 210 216 224 225 238 240 243 245 250 252 255 256 270 272 280 288 294 300 303 306 315 320 324 336 340 343 350 357 360 375 378 384 392 400 404 405 408 420 425 432 441 448 450 459 476 480 486 490 500 504 505 510 512 525 540 544 560 567 576 588 595 600 606 612 625 630 640 648 672 675 680 686 700 707 714 720 729 735 750 756 765 768 784 800 808 810 816 833 840 850 864 875 882 896 900 909 918 945 952 960 972 980 1000 1008 1010 1020 1029 1050 1071 1080 1088 1120 1125 1134 1152 1176 1190 1200 1212 1215 1224 1225 1250 1260 1275 1280 1296 1323 1344 1350 1360 1372 1377 1400 1414 1428 1440 1458 1470 1500 1512 1515 1530 1536 1568 1575 1600 1616 1620 1632 1666 1680 1700 1701 1715 1717 1728 1750 1764 1785 1792 1800 1818 1836 1875 1890 1904 1920 1944 1960 2000 2016 2020 2025 2040 2058 2100 2121 2125 2142 2160 2176 2205 2240 2250 2268 2295 2304 2352 2380 2400 2424 2430 2448 2450 2499 2500 2520 2525 2550 2560 2592 2625 2646 2688 2700 2720 2727 2744 2754 2800 2828 2835 2856 2880 2916 2940 2975 3000 3024 3030 3060 3087 3136 3150 3200 3213 3232 3240 3264 3332 3360 3375 3400 3402 3430 3434 3456 3500 3528 3535 3570 3584 3600 3636 3645 3672 3675 3750 3780 3808 3825 3840 3888 3920 3969 4000 4032 4040 4050 4080 4116 4131 4165 4200 4242 4250 4284 4320 4352 4375 4410 4480 4500 4536 4545 4590 4608 4704 4725 4760 4800 4848 4860 4896 4900 4949 4998 5000 5040 5050 5100 5103 5145 5151 5184 5250 5292 5355 5376 5400 5440 5454 5488 5508 5600 5625 5656 5670 5712 5760 5831 5832 5880 5950 6000 6048 6060 6075 6120 6125 6174 6272 6300 6363 6375 6400 6426 6464 6480 6528 6615 6664 6720 6750 6800 6804 6860 6868 6885 6912 7000 7056 7070 7140 7200 7272 7290 7344 7350 7497 7500 7560 7575 7616 7650 7680 7776 7840 7875 7938 8000 8064 8080 8100 8160 8181 8232 8262 8330 8400 8484 8500 8505 8568 8575 8585 8640 8704 8750 8820 8925 8960 9000 9072 9090 9180 9261 9408 9450 9520 9600 9639 9696 9720 9792 9800 9898 9996 10000 10080 10100 10125 10200 10206 10290 10302 10368 10500 10584 10605 10625 10710 10752 10800 10880 10908 10976 11016 11025 11200 11250 11312 11340 11424 11475 11520 11662 11664 11760 11900 11907 12000 12019 12096 12120 12150 12240 12250 12348 12393 12495 12544 12600 12625 12726 12750 12800 12852 12928 12960 13056 13125 13230 13328 13440 13500 13600 13608 13635 13720 13736 13770 13824 14000 14112 14140 14175 14280 14400 14544 14580 14688 14700 14847 14875 14994 15000 15120 15150 15232 15300 15435 15453 15552 15680 15750 15876 16000 16065 16128 16160 16200 16320 16362 16464 16524 16660 16800 16875 16968 17000 17010 17136 17150 17170 17280 17493 17500 17640 17675 17850 17920 18000 18144 18180 18225 18360 18375 18522 18816 18900 19040 19089 19125 19200 19278 19392 19440 19584 19600 19796 19845 19992 20000 20160 20200 20250 20400 20412 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68692911840000 137385823680000
- Sum of all divisors σ(n): 641326960929600
- Sum of proper divisors (its aliquot sum) s(n): 503941137249600
- 137385823680000 is an abundant number, because the sum of its proper divisors (503941137249600) is greater than itself. Its abundance is 366555313569600
Bases of 137385823680000
- Binary: 111110011110011101000010011011110110110000000002
- Hexadecimal: 0x7CF3A137B600
- Base-36: 1CP66C8000
Squares and roots of 137385823680000
- 137385823680000 squared (1373858236800002) is 18874864548232048742400000000
- 137385823680000 cubed (1373858236800003) is 2593138812807291104248532140032000000000000
-
The
square root of 137385823680000 is 11721169.8938288579 -
The
cube root of 137385823680000 is 51599.7155203353
Scales and comparisons
How big is 137385823680000?- 137,385,823,680,000 seconds is equal to 4,368,444 years, 12 weeks.
-
To count from 1 to 137,385,823,680,000 would take you about ten million, nine hundred twenty-one thousand, one hundred ten 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 137385823680000 cubic inches would be around 4300 feet tall.
Recreational maths with 137385823680000
- 137385823680000 backwards is 000086328583731
- 137385823680000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137385823680000's digits is 54
- More coming soon!
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"Number 137385823680000 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
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Numbermatics. (2024). Number 137385823680000 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/137385823680000/
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The information we have on file for 137385823680000 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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