138882864906240000
138,882,864,906,240,000 is an even composite number composed of six prime numbers multiplied together.
138882864906240000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five thousand, two hundred eighty divisors.
Prime factorization of 138882864906240000:
221 × 3 × 54 × 73 × 13 × 892
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 13 × 89 × 89)See below for interesting mathematical facts about the number 138882864906240000 from the Numbermatics database.
Names of 138882864906240000
- Cardinal: 138882864906240000 can be written as One hundred thirty-eight quadrillion, eight hundred eighty-two trillion, eight hundred sixty-four billion, nine hundred six million, two hundred forty thousand.
Scientific notation
- Scientific notation: 1.3888286490624 × 1017
Factors of 138882864906240000
Divisors of 138882864906240000
- Number of divisors d(n): 5280
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 48 49 50 52 56 60 64 65 70 75 78 80 84 89 91 96 98 100 104 105 112 120 125 128 130 140 147 150 156 160 168 175 178 182 192 195 196 200 208 210 224 240 245 250 256 260 267 273 280 294 300 312 320 325 336 343 350 356 364 375 384 390 392 400 416 420 445 448 455 480 490 500 512 520 525 534 546 560 588 600 623 624 625 637 640 650 672 686 700 712 728 735 750 768 780 784 800 832 840 875 890 896 910 960 975 980 1000 1024 1029 1040 1050 1068 1092 1120 1157 1176 1200 1225 1246 1248 1250 1274 1280 1300 1335 1344 1365 1372 1400 1424 1456 1470 1500 1536 1560 1568 1600 1625 1664 1680 1715 1750 1780 1792 1820 1869 1875 1911 1920 1950 1960 2000 2048 2058 2080 2100 2136 2184 2225 2240 2275 2314 2352 2400 2450 2492 2496 2500 2548 2560 2600 2625 2670 2688 2730 2744 2800 2848 2912 2940 3000 3072 3115 3120 3136 3185 3200 3250 3328 3360 3430 3471 3500 3560 3584 3640 3675 3738 3750 3822 3840 3900 3920 4000 4096 4116 4160 4200 4272 4361 4368 4375 4450 4459 4480 4550 4628 4704 4800 4875 4900 4984 4992 5000 5096 5120 5145 5200 5250 5340 5376 5460 5488 5600 5696 5785 5824 5880 6000 6125 6144 6230 6240 6272 6370 6400 6500 6656 6675 6720 6825 6860 6942 7000 7120 7168 7280 7350 7476 7500 7644 7680 7800 7840 7921 8000 8099 8125 8192 8232 8320 8400 8544 8575 8722 8736 8750 8900 8918 8960 9100 9256 9345 9408 9555 9600 9750 9800 9968 9984 10000 10192 10240 10290 10400 10500 10680 10752 10920 10976 11125 11200 11375 11392 11570 11648 11760 12000 12250 12288 12460 12480 12544 12740 12800 13000 13083 13125 13312 13350 13377 13440 13650 13720 13884 14000 14240 14336 14560 14700 14952 15000 15288 15360 15575 15600 15680 15842 15925 16000 16198 16250 16384 16464 16640 16800 17088 17150 17355 17444 17472 17500 17800 17836 17920 18200 18375 18512 18690 18816 19110 19200 19500 19600 19936 19968 20000 20384 20480 20580 20800 21000 21360 21504 21805 21840 21952 22250 22295 22400 22750 22784 23140 23296 23520 23763 24000 24297 24375 24500 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5786786037760000 6613469757440000 6944143245312000 8680179056640000 9258857660416000 9920204636160000 10683297300480000 11573572075520000 13888286490624000 17360358113280000 19840409272320000 23147144151040000 27776572981248000 34720716226560000 46294288302080000 69441432453120000 138882864906240000
- Sum of all divisors σ(n): 587821660184035200
- Sum of proper divisors (its aliquot sum) s(n): 448938795277795200
- 138882864906240000 is an abundant number, because the sum of its proper divisors (448938795277795200) is greater than itself. Its abundance is 310055930371555200
Bases of 138882864906240000
- Binary: 1111011010110100100111010110101000010000000000000000000002
- Hexadecimal: 0x1ED693AD4200000
- Base-36: 11ZHV7CBV6YO
Squares and roots of 138882864906240000
- 138882864906240000 squared (1388828649062400002) is 19288450164564910163990937600000000
- 138882864906240000 cubed (1388828649062400003) is 2678835218456011114613075270948433690624000000000000
-
The
square root of 138882864906240000 is 372669914.1415094163 -
The
cube root of 138882864906240000 is 517864.5970515137
Scales and comparisons
How big is 138882864906240000?- 138,882,864,906,240,000 seconds is equal to 4,416,045,511 years, 5 weeks, 5 days, 10 hours, 40 minutes.
-
To count from 1 to 138,882,864,906,240,000 would take you about thirteen billion, two hundred forty-eight million, one hundred thirty-six thousand, five hundred thirty-three 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 138882864906240000 cubic inches would be around 43155.4 feet tall.
Recreational maths with 138882864906240000
- 138882864906240000 backwards is 000042609468288831
- The number of decimal digits it has is: 18
- The sum of 138882864906240000's digits is 69
- More coming soon!
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"Number 138882864906240000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 138882864906240000 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/138882864906240000/
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Numbermatics. 2024. "Number 138882864906240000 - Facts about the integer". https://numbermatics.com/n/138882864906240000/
The information we have on file for 138882864906240000 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 138882864906240000, math, Factors of 138882864906240000, curriculum, school, college, exams, university, Prime factorization of 138882864906240000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, eight hundred eighty-two trillion, eight hundred sixty-four billion, nine hundred six million, two hundred forty thousand.