138763499132928000
138,763,499,132,928,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138763499132928000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2880 divisors.
138763499132928000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 138763499132928000:
214 × 3 × 53 × 413 × 672 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 41 × 41 × 41 × 67 × 67 × 73)See below for interesting mathematical facts about the number 138763499132928000 from the Numbermatics database.
Names of 138763499132928000
- Cardinal: 138763499132928000 can be written as One hundred thirty-eight quadrillion, seven hundred sixty-three trillion, four hundred ninety-nine billion, one hundred thirty-two million, nine hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.38763499132928 × 1017
Factors of 138763499132928000
Divisors of 138763499132928000
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 41 48 50 60 64 67 73 75 80 82 96 100 120 123 125 128 134 146 150 160 164 192 200 201 205 219 240 246 250 256 268 292 300 320 328 335 365 375 384 400 402 410 438 480 492 500 512 536 584 600 615 640 656 670 730 750 768 800 804 820 876 960 984 1000 1005 1024 1025 1072 1095 1168 1200 1230 1280 1312 1340 1460 1500 1536 1600 1608 1640 1675 1681 1752 1825 1920 1968 2000 2010 2048 2050 2144 2190 2336 2400 2460 2560 2624 2680 2747 2920 2993 3000 3072 3075 3200 3216 3280 3350 3362 3504 3650 3840 3936 4000 4020 4096 4100 4288 4380 4489 4672 4800 4891 4920 5025 5043 5120 5125 5248 5360 5475 5494 5840 5986 6000 6144 6150 6400 6432 6560 6700 6724 7008 7300 7680 7872 8000 8040 8192 8200 8241 8375 8405 8576 8760 8978 8979 9125 9344 9600 9782 9840 10050 10086 10240 10250 10496 10720 10950 10988 11680 11972 12000 12288 12300 12800 12864 13120 13400 13448 13467 13735 14016 14600 14673 14965 15360 15375 15744 16000 16080 16384 16400 16482 16750 16810 17152 17520 17956 17958 18250 18688 19200 19564 19680 20100 20172 20480 20500 20992 21440 21900 21976 22445 23360 23944 24000 24455 24576 24600 25125 25215 25600 25728 26240 26800 26896 26934 27375 27470 28032 29200 29346 29930 30720 30750 31488 32000 32160 32800 32964 33500 33620 34304 35040 35912 35916 36500 37376 38400 39128 39360 40200 40344 40960 41000 41205 41984 42025 42880 43800 43952 44890 44895 46720 47888 48000 48910 49152 49200 50250 50430 51200 51456 52480 53600 53792 53868 54750 54940 56064 58400 58692 59860 61440 61500 62976 64000 64320 65600 65928 67000 67240 67335 68608 68675 68921 70080 71824 71832 73000 73365 74752 74825 76800 78256 78720 80400 80688 81920 82000 82410 83968 84050 85760 87600 87904 89780 89790 93440 95776 96000 97820 98400 100500 100860 102400 102912 104960 107200 107584 107736 109500 109880 112128 112225 112627 116800 117384 119720 122275 122713 122880 123000 125952 126075 128000 128640 131200 131856 134000 134480 134670 137216 137350 137842 140160 143648 143664 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271022459244000 277526998265856 282039632384000 289090623193600 316811641856000 338447558860800 345182833664000 346908747832320 361363278992000 370035997687808 380173970227200 414219400396800 423059448576000 433635934790400 462544997109760 475217462784000 517774250496000 542044918488000 555053996531712 564079264768000 578181246387200 633623283712000 676895117721600 690365667328000 693817495664640 722726557984000 846118897152000 867271869580800 925089994219520 950434925568000 1035548500992000 1084089836976000 1110107993063424 1128158529536000 1156362492774400 1387634991329280 1445453115968000 1692237794304000 1734543739161600 1850179988439040 1900869851136000 2071097001984000 2168179673952000 2312724985548800 2775269982658560 2890906231936000 3384475588608000 3469087478323200 4336359347904000 4625449971097600 5550539965317120 5781812463872000 6938174956646400 8672718695808000 9250899942195200 11563624927744000 13876349913292800 17345437391616000 23127249855488000 27752699826585600 34690874783232000 46254499710976000 69381749566464000 138763499132928000
- Sum of all divisors σ(n): 487087854939294336
- Sum of proper divisors (its aliquot sum) s(n): 348324355806366336
- 138763499132928000 is an abundant number, because the sum of its proper divisors (348324355806366336) is greater than itself. Its abundance is 209560856673438336
Bases of 138763499132928000
- Binary: 1111011001111110010101010110100011001101111000000000000002
- Hexadecimal: 0x1ECFCAAD19BC000
- Base-36: 11YBJZGODATC
Squares and roots of 138763499132928000
- 138763499132928000 squared (1387634991329280002) is 19255308691614109807813853184000000
- 138763499132928000 cubed (1387634991329280003) is 2671934010933055508461348197017210692042752000000000
-
The
square root of 138763499132928000 is 372509730.2526848091 -
The
cube root of 138763499132928000 is 517716.1913522563
Scales and comparisons
How big is 138763499132928000?- 138,763,499,132,928,000 seconds is equal to 4,412,250,048 years, 38 weeks, 4 days, 5 hours, 20 minutes.
-
To count from 1 to 138,763,499,132,928,000 would take you about thirteen billion, two hundred thirty-six million, seven hundred fifty thousand, one hundred forty-six 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 138763499132928000 cubic inches would be around 43143 feet tall.
Recreational maths with 138763499132928000
- 138763499132928000 backwards is 000829231994367831
- 138763499132928000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138763499132928000's digits is 75
- More coming soon!
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"Number 138763499132928000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 September 2024.
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Numbermatics. (2024). Number 138763499132928000 - Facts about the integer. Retrieved 24 September 2024, from https://numbermatics.com/n/138763499132928000/
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Numbermatics. 2024. "Number 138763499132928000 - Facts about the integer". https://numbermatics.com/n/138763499132928000/
The information we have on file for 138763499132928000 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 138763499132928000, math, Factors of 138763499132928000, curriculum, school, college, exams, university, Prime factorization of 138763499132928000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, seven hundred sixty-three trillion, four hundred ninety-nine billion, one hundred thirty-two million, nine hundred twenty-eight thousand.