137682148032000000
137,682,148,032,000,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 137682148032000000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 8736 divisors.
137682148032000000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight thousand, seven hundred thirty-six divisors.
Prime factorization of 137682148032000000:
212 × 33 × 56 × 112 × 13 × 373
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 11 × 11 × 13 × 37 × 37 × 37)See below for interesting mathematical facts about the number 137682148032000000 from the Numbermatics database.
Names of 137682148032000000
- Cardinal: 137682148032000000 can be written as One hundred thirty-seven quadrillion, six hundred eighty-two trillion, one hundred forty-eight billion, thirty-two million.
Scientific notation
- Scientific notation: 1.37682148032 × 1017
Factors of 137682148032000000
Divisors of 137682148032000000
- Number of divisors d(n): 8736
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 25 26 27 30 32 33 36 37 39 40 44 45 48 50 52 54 55 60 64 65 66 72 74 75 78 80 88 90 96 99 100 104 108 110 111 117 120 121 125 128 130 132 135 143 144 148 150 156 160 165 176 180 185 192 195 198 200 208 216 220 222 225 234 240 242 250 256 260 264 270 275 286 288 296 297 300 312 320 325 330 333 351 352 360 363 370 375 384 390 396 400 407 416 429 432 440 444 450 468 480 481 484 495 500 512 520 528 540 550 555 572 576 585 592 594 600 605 624 625 640 650 660 666 675 702 704 715 720 726 740 750 768 780 792 800 814 825 832 858 864 880 888 900 925 936 960 962 968 975 990 999 1000 1024 1040 1056 1080 1089 1100 1110 1125 1144 1152 1170 1184 1188 1200 1210 1221 1248 1250 1280 1287 1300 1320 1332 1350 1369 1375 1404 1408 1430 1440 1443 1452 1480 1485 1500 1536 1560 1573 1584 1600 1625 1628 1650 1664 1665 1716 1728 1755 1760 1776 1800 1815 1850 1872 1875 1920 1924 1936 1950 1980 1998 2000 2035 2048 2080 2112 2145 2160 2178 2200 2220 2250 2288 2304 2340 2368 2376 2400 2405 2420 2442 2475 2496 2500 2560 2574 2600 2640 2664 2700 2738 2750 2775 2808 2816 2860 2880 2886 2904 2925 2960 2970 3000 3025 3072 3120 3125 3146 3168 3200 3250 3256 3267 3300 3328 3330 3375 3432 3456 3510 3520 3552 3575 3600 3630 3663 3700 3744 3750 3840 3848 3861 3872 3900 3960 3996 4000 4070 4096 4107 4125 4160 4224 4290 4320 4329 4356 4400 4440 4477 4500 4576 4608 4625 4680 4719 4736 4752 4800 4810 4840 4875 4884 4950 4992 4995 5000 5120 5148 5200 5280 5291 5328 5400 5445 5476 5500 5550 5616 5625 5632 5720 5760 5772 5808 5850 5920 5940 6000 6050 6105 6144 6240 6250 6292 6336 6400 6435 6500 6512 6534 6600 6656 6660 6750 6845 6864 6875 6912 7020 7040 7104 7150 7200 7215 7260 7326 7400 7425 7488 7500 7680 7696 7722 7744 7800 7865 7920 7992 8000 8125 8140 8214 8250 8320 8325 8448 8580 8640 8658 8712 8775 8800 8880 8954 9000 9075 9152 9216 9250 9360 9375 9438 9472 9504 9600 9620 9680 9750 9768 9900 9984 9990 10000 10175 10240 10296 10400 10560 10582 10656 10725 10800 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15298016448000000 17210268504000000 22947024672000000 27536429606400000 34420537008000000 45894049344000000 68841074016000000 137682148032000000
- Sum of all divisors σ(n): 620304936963924800
- Sum of proper divisors (its aliquot sum) s(n): 482622788931924800
- 137682148032000000 is an abundant number, because the sum of its proper divisors (482622788931924800) is greater than itself. Its abundance is 344940640899924800
Bases of 137682148032000000
- Binary: 1111010010010010100101111001001010101110000110000000000002
- Hexadecimal: 0x1E9252F255C3000
- Base-36: 11NO8XMIJ9C0
Squares and roots of 137682148032000000
- 137682148032000000 squared (1376821480320000002) is 18956373886705561473024000000000000
- 137682148032000000 cubed (1376821480320000003) is 2609954275619334311526566342688768000000000000000000
-
The
square root of 137682148032000000 is 371055451.4247163031 -
The
cube root of 137682148032000000 is 516367.8696371971
Scales and comparisons
How big is 137682148032000000?- 137,682,148,032,000,000 seconds is equal to 4,377,866,428 years, 29 weeks, 5 days.
-
To count from 1 to 137,682,148,032,000,000 would take you about thirteen billion, one hundred thirty-three million, five hundred ninety-nine thousand, two hundred eighty-five 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 137682148032000000 cubic inches would be around 43030.7 feet tall.
Recreational maths with 137682148032000000
- 137682148032000000 backwards is 000000230841286731
- 137682148032000000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137682148032000000's digits is 45
- More coming soon!
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"Number 137682148032000000 - Facts about the integer". Numbermatics.com. 2024. Web. 29 April 2024.
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Numbermatics. (2024). Number 137682148032000000 - Facts about the integer. Retrieved 29 April 2024, from https://numbermatics.com/n/137682148032000000/
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The information we have on file for 137682148032000000 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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