138306504960000000
138,306,504,960,000,000 is an even composite number composed of five prime numbers multiplied together.
138306504960000000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand, six hundred divisors.
Prime factorization of 138306504960000000:
214 × 32 × 57 × 13 × 314
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 13 × 31 × 31 × 31 × 31)See below for interesting mathematical facts about the number 138306504960000000 from the Numbermatics database.
Names of 138306504960000000
- Cardinal: 138306504960000000 can be written as One hundred thirty-eight quadrillion, three hundred six trillion, five hundred four billion, nine hundred sixty million.
Scientific notation
- Scientific notation: 1.3830650496 × 1017
Factors of 138306504960000000
Divisors of 138306504960000000
- Number of divisors d(n): 3600
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 31 32 36 39 40 45 48 50 52 60 62 64 65 72 75 78 80 90 93 96 100 104 117 120 124 125 128 130 144 150 155 156 160 180 186 192 195 200 208 225 234 240 248 250 256 260 279 288 300 310 312 320 325 360 372 375 384 390 400 403 416 450 465 468 480 496 500 512 520 558 576 585 600 620 624 625 640 650 720 744 750 768 775 780 800 806 832 900 930 936 960 961 975 992 1000 1024 1040 1116 1125 1152 1170 1200 1209 1240 1248 1250 1280 1300 1395 1440 1488 1500 1536 1550 1560 1600 1612 1625 1664 1800 1860 1872 1875 1920 1922 1950 1984 2000 2015 2048 2080 2232 2250 2304 2325 2340 2400 2418 2480 2496 2500 2560 2600 2790 2880 2883 2925 2976 3000 3072 3100 3120 3125 3200 3224 3250 3328 3600 3627 3720 3744 3750 3840 3844 3875 3900 3968 4000 4030 4096 4160 4464 4500 4608 4650 4680 4800 4805 4836 4875 4960 4992 5000 5120 5200 5580 5625 5760 5766 5850 5952 6000 6045 6144 6200 6240 6250 6400 6448 6500 6656 6975 7200 7254 7440 7488 7500 7680 7688 7750 7800 7936 8000 8060 8125 8192 8320 8649 8928 9000 9216 9300 9360 9375 9600 9610 9672 9750 9920 9984 10000 10075 10240 10400 11160 11250 11520 11532 11625 11700 11904 12000 12090 12288 12400 12480 12493 12500 12800 12896 13000 13312 13950 14400 14415 14508 14625 14880 14976 15000 15360 15376 15500 15600 15625 15872 16000 16120 16250 16384 16640 17298 17856 18000 18135 18432 18600 18720 18750 19200 19220 19344 19375 19500 19840 19968 20000 20150 20480 20800 22320 22500 23040 23064 23250 23400 23808 24000 24025 24180 24375 24576 24800 24960 24986 25000 25600 25792 26000 26624 27900 28125 28800 28830 29016 29250 29760 29791 29952 30000 30225 30720 30752 31000 31200 31250 31744 32000 32240 32500 33280 34596 34875 35712 36000 36270 36864 37200 37440 37479 37500 38400 38440 38688 38750 39000 39680 39936 40000 40300 40625 40960 41600 43245 44640 45000 46080 46128 46500 46800 46875 47616 48000 48050 48360 48750 49152 49600 49920 49972 50000 50375 51200 51584 52000 53248 55800 56250 57600 57660 58032 58125 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5319480960000000 5532260198400000 5762771040000000 6915325248000000 7683694720000000 8644156560000000 9220433664000000 10638961920000000 11525542080000000 13830650496000000 15367389440000000 17288313120000000 23051084160000000 27661300992000000 34576626240000000 46102168320000000 69153252480000000 138306504960000000
- Sum of all divisors σ(n): 555768847947833520
- Sum of proper divisors (its aliquot sum) s(n): 417462342987833520
- 138306504960000000 is an abundant number, because the sum of its proper divisors (417462342987833520) is greater than itself. Its abundance is 279155838027833520
Bases of 138306504960000000
- Binary: 1111010110101110100001000100100100100010001000000000000002
- Hexadecimal: 0x1EB5D0892444000
- Base-36: 11TTKB8L1Q80
Squares and roots of 138306504960000000
- 138306504960000000 squared (1383065049600000002) is 19128689314250504601600000000000000
- 138306504960000000 cubed (1383065049600000003) is 2645622163519686413363693223936000000000000000000000
-
The
square root of 138306504960000000 is 371895825.4135154983 -
The
cube root of 138306504960000000 is 517147.2293243113
Scales and comparisons
How big is 138306504960000000?- 138,306,504,960,000,000 seconds is equal to 4,397,719,047 years, 32 weeks, 1 day, 8 hours.
-
To count from 1 to 138,306,504,960,000,000 would take you about thirteen billion, one hundred ninety-three million, one hundred fifty-seven thousand, one hundred forty-two 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 138306504960000000 cubic inches would be around 43095.6 feet tall.
Recreational maths with 138306504960000000
- 138306504960000000 backwards is 000000069405603831
- 138306504960000000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138306504960000000's digits is 45
- More coming soon!
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"Number 138306504960000000 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 138306504960000000 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138306504960000000/
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The information we have on file for 138306504960000000 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 138306504960000000, math, Factors of 138306504960000000, curriculum, school, college, exams, university, Prime factorization of 138306504960000000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, three hundred six trillion, five hundred four billion, nine hundred sixty million.