138207201896448000000
138,207,201,896,448,000,000 is an even composite number composed of seven prime numbers multiplied together.
138207201896448000000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of fifteen thousand, one hundred twenty divisors.
Prime factorization of 138207201896448000000:
217 × 34 × 56 × 41 × 43 × 612 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 41 × 43 × 61 × 61 × 127)See below for interesting mathematical facts about the number 138207201896448000000 from the Numbermatics database.
Names of 138207201896448000000
- Cardinal: 138207201896448000000 can be written as One hundred thirty-eight quintillion, two hundred seven quadrillion, two hundred one trillion, eight hundred ninety-six billion, four hundred forty-eight million.
Scientific notation
- Scientific notation: 1.38207201896448 × 1020
Factors of 138207201896448000000
Divisors of 138207201896448000000
- Number of divisors d(n): 15120
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 41 43 45 48 50 54 60 61 64 72 75 80 81 82 86 90 96 100 108 120 122 123 125 127 128 129 135 144 150 160 162 164 172 180 183 192 200 205 215 216 225 240 244 246 250 254 256 258 270 288 300 305 320 324 328 344 360 366 369 375 381 384 387 400 405 410 430 432 450 480 488 492 500 508 512 516 540 549 576 600 610 615 625 635 640 645 648 656 675 688 720 732 738 750 762 768 774 800 810 820 860 864 900 915 960 976 984 1000 1016 1024 1025 1032 1075 1080 1098 1107 1125 1143 1152 1161 1200 1220 1230 1250 1270 1280 1290 1296 1312 1350 1376 1440 1464 1476 1500 1524 1525 1536 1548 1600 1620 1640 1647 1720 1728 1763 1800 1830 1845 1875 1905 1920 1935 1952 1968 2000 2025 2032 2048 2050 2064 2150 2160 2196 2214 2250 2286 2304 2322 2400 2440 2460 2500 2501 2540 2560 2580 2592 2623 2624 2700 2745 2752 2880 2928 2952 3000 3048 3050 3072 3075 3096 3125 3175 3200 3225 3240 3280 3294 3321 3375 3429 3440 3456 3483 3526 3600 3660 3690 3721 3750 3810 3840 3870 3904 3936 4000 4050 4064 4096 4100 4128 4300 4320 4392 4428 4500 4572 4575 4608 4644 4800 4880 4920 4941 5000 5002 5080 5120 5125 5160 5184 5207 5246 5248 5289 5375 5400 5461 5490 5504 5535 5625 5715 5760 5805 5856 5904 6000 6096 6100 6144 6150 6192 6250 6350 6400 6450 6480 6560 6588 6642 6750 6858 6880 6912 6966 7052 7200 7320 7380 7442 7500 7503 7620 7625 7680 7740 7747 7808 7869 7872 8000 8100 8128 8192 8200 8235 8256 8600 8640 8784 8815 8856 9000 9144 9150 9216 9225 9288 9375 9525 9600 9675 9760 9840 9882 10000 10004 10125 10160 10240 10250 10287 10320 10368 10414 10492 10496 10578 10750 10800 10922 10980 11008 11070 11163 11250 11430 11520 11610 11712 11808 12000 12192 12200 12288 12300 12384 12500 12505 12700 12800 12900 12960 13115 13120 13176 13284 13500 13716 13725 13760 13824 13932 14104 14400 14640 14760 14884 15000 15006 15240 15250 15360 15375 15480 15494 15616 15621 15625 15738 15744 15867 15875 16000 16125 16200 16256 16383 16384 16400 16470 16512 16605 16875 17145 17200 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- Sum of all divisors σ(n): 554365753437907547136
- Sum of proper divisors (its aliquot sum) s(n): 416158551541459547136
- 138207201896448000000 is an abundant number, because the sum of its proper divisors (416158551541459547136) is greater than itself. Its abundance is 277951349645011547136
Bases of 138207201896448000000
- Binary: 11101111110000000101001110111011111001001100111101000000000000000002
- Hexadecimal: 0x77E029DDF267A0000
- Base-36: T617G88UI9S00
Squares and roots of 138207201896448000000
- 138207201896448000000 squared (1382072018964480000002) is 19101230656045539647715016704000000000000
- 138207201896448000000 cubed (1382072018964480000003) is 2639927641750707782395930430442916798267392000000000000000000
-
The
square root of 138207201896448000000 is 11756155914.9429453287 -
The
cube root of 138207201896448000000 is 5170234.3037556513
Scales and comparisons
How big is 138207201896448000000?- 138,207,201,896,448,000,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,207,201,896,448,000,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 138207201896448000000 cubic inches would be around 430852.9 feet tall.
Recreational maths with 138207201896448000000
- 138207201896448000000 backwards is 000000844698102702831
- The number of decimal digits it has is: 21
- The sum of 138207201896448000000's digits is 63
- More coming soon!
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"Number 138207201896448000000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 May 2024.
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Numbermatics. (2024). Number 138207201896448000000 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/138207201896448000000/
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The information we have on file for 138207201896448000000 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!
Keywords: Divisors of 138207201896448000000, math, Factors of 138207201896448000000, curriculum, school, college, exams, university, Prime factorization of 138207201896448000000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, two hundred seven quadrillion, two hundred one trillion, eight hundred ninety-six billion, four hundred forty-eight million.