137825613798336000
137,825,613,798,336,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 137825613798336000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3840 divisors.
137825613798336000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, eight hundred forty divisors.
Prime factorization of 137825613798336000:
29 × 32 × 53 × 23 × 61 × 67 × 661 × 3851
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 23 × 61 × 67 × 661 × 3851)See below for interesting mathematical facts about the number 137825613798336000 from the Numbermatics database.
Names of 137825613798336000
- Cardinal: 137825613798336000 can be written as One hundred thirty-seven quadrillion, eight hundred twenty-five trillion, six hundred thirteen billion, seven hundred ninety-eight million, three hundred thirty-six thousand.
Scientific notation
- Scientific notation: 1.37825613798336 × 1017
Factors of 137825613798336000
Divisors of 137825613798336000
- Number of divisors d(n): 3840
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 30 32 36 40 45 46 48 50 60 61 64 67 69 72 75 80 90 92 96 100 115 120 122 125 128 134 138 144 150 160 180 183 184 192 200 201 207 225 230 240 244 250 256 268 276 288 300 305 320 335 345 360 366 368 375 384 400 402 414 450 460 480 488 500 512 536 549 552 575 576 600 603 610 640 661 670 690 720 732 736 750 768 800 804 828 900 915 920 960 976 1000 1005 1035 1072 1098 1104 1125 1150 1152 1200 1206 1220 1280 1322 1340 1380 1403 1440 1464 1472 1500 1525 1536 1541 1600 1608 1656 1675 1725 1800 1830 1840 1920 1952 1983 2000 2010 2070 2144 2196 2208 2250 2300 2304 2400 2412 2440 2560 2644 2680 2745 2760 2806 2875 2880 2928 2944 3000 3015 3050 3082 3200 3216 3305 3312 3350 3450 3600 3660 3680 3840 3851 3904 3966 4000 4020 4087 4140 4209 4288 4392 4416 4500 4575 4600 4608 4623 4800 4824 4880 5025 5175 5288 5360 5490 5520 5612 5750 5760 5856 5888 5949 6000 6030 6100 6164 6400 6432 6610 6624 6700 6900 7015 7200 7320 7360 7625 7680 7702 7705 7808 7932 8000 8040 8174 8280 8375 8418 8576 8625 8784 8832 9000 9150 9200 9246 9600 9648 9760 9915 10050 10350 10576 10720 10980 11040 11224 11500 11520 11553 11712 11776 11898 12000 12060 12200 12261 12328 12627 12800 12864 13220 13248 13400 13725 13800 13869 14030 14400 14640 14720 15075 15203 15250 15404 15410 15616 15864 16000 16080 16348 16525 16560 16750 16836 17152 17250 17568 17664 18000 18300 18400 18492 19200 19255 19296 19520 19830 20100 20435 20700 21045 21152 21440 21960 22080 22448 22875 23000 23040 23106 23115 23424 23796 24000 24120 24400 24522 24656 25125 25254 25728 25875 26440 26496 26800 27450 27600 27738 28060 28800 29280 29440 29745 30150 30406 30500 30808 30820 31232 31728 32000 32160 32696 33050 33120 33500 33672 34304 34500 34659 35075 35136 35328 36000 36600 36783 36800 36984 38400 38510 38525 38592 39040 39660 40200 40321 40870 41400 42090 42304 42880 43920 44160 44287 44896 45609 45750 46000 46212 46230 46848 47592 48000 48240 48800 49044 49312 49575 50250 50508 51456 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- Sum of all divisors σ(n): 535303023263483904
- Sum of proper divisors (its aliquot sum) s(n): 397477409465147904
- 137825613798336000 is an abundant number, because the sum of its proper divisors (397477409465147904) is greater than itself. Its abundance is 259651795666811904
Bases of 137825613798336000
- Binary: 1111010011010011110101010010111110110011001100110000000002
- Hexadecimal: 0x1E9A7AA5F666600
- Base-36: 11P33OVZMV40
Squares and roots of 137825613798336000
- 137825613798336000 squared (1378256137983360002) is 18995899818888066797276368896000000
- 137825613798336000 cubed (1378256137983360003) is 2618121552189947462531385968175760486957056000000000
-
The
square root of 137825613798336000 is 371248722.2851224845 -
The
cube root of 137825613798336000 is 516547.1603611803
Scales and comparisons
How big is 137825613798336000?- 137,825,613,798,336,000 seconds is equal to 4,382,428,196 years, 8 weeks, 6 days, 16 hours.
-
To count from 1 to 137,825,613,798,336,000 would take you about thirteen billion, one hundred forty-seven million, two hundred eighty-four thousand, five hundred eighty-eight 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 137825613798336000 cubic inches would be around 43045.6 feet tall.
Recreational maths with 137825613798336000
- 137825613798336000 backwards is 000633897316528731
- 137825613798336000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137825613798336000's digits is 72
- More coming soon!
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The information we have on file for 137825613798336000 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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