138339645971744000000
138,339,645,971,744,000,000 is an even composite number composed of six prime numbers multiplied together.
138339645971744000000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six thousand and forty-eight divisors.
Prime factorization of 138339645971744000000:
211 × 56 × 73 × 172 × 79 × 7432
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 17 × 17 × 79 × 743 × 743)See below for interesting mathematical facts about the number 138339645971744000000 from the Numbermatics database.
Names of 138339645971744000000
- Cardinal: 138339645971744000000 can be written as One hundred thirty-eight quintillion, three hundred thirty-nine quadrillion, six hundred forty-five trillion, nine hundred seventy-one billion, seven hundred forty-four million.
Scientific notation
- Scientific notation: 1.38339645971744 × 1020
Factors of 138339645971744000000
Divisors of 138339645971744000000
- Number of divisors d(n): 6048
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 49 50 56 64 68 70 79 80 85 98 100 112 119 125 128 136 140 158 160 170 175 196 200 224 238 245 250 256 272 280 289 316 320 340 343 350 392 395 400 425 448 476 490 500 512 544 553 560 578 595 625 632 640 680 686 700 743 784 790 800 833 850 875 896 952 980 1000 1024 1088 1106 1120 1156 1190 1225 1250 1264 1280 1343 1360 1372 1400 1445 1486 1568 1580 1600 1666 1700 1715 1750 1792 1904 1960 1975 2000 2023 2048 2125 2176 2212 2240 2312 2380 2450 2500 2528 2560 2686 2720 2744 2765 2800 2890 2972 2975 3125 3136 3160 3200 3332 3400 3430 3500 3584 3715 3808 3871 3920 3950 4000 4046 4165 4250 4352 4375 4424 4480 4624 4760 4900 5000 5056 5120 5201 5372 5440 5488 5530 5600 5780 5831 5944 5950 6125 6250 6272 6320 6400 6664 6715 6800 6860 7000 7168 7225 7430 7616 7742 7840 7900 8000 8092 8330 8500 8575 8704 8750 8848 8960 9248 9401 9520 9800 9875 10000 10112 10115 10240 10402 10625 10744 10880 10976 11060 11200 11560 11662 11888 11900 12250 12500 12544 12631 12640 12800 13328 13430 13600 13720 13825 14000 14161 14336 14450 14860 14875 15232 15484 15625 15680 15800 16000 16184 16660 17000 17150 17408 17500 17696 17920 18496 18575 18802 19040 19355 19600 19750 20000 20224 20230 20804 20825 21250 21488 21760 21875 21952 22120 22400 22831 23120 23324 23776 23800 24500 25000 25088 25262 25280 25600 26005 26656 26860 27097 27200 27440 27650 28000 28322 28900 29155 29720 29750 30464 30625 30968 31250 31360 31600 32000 32368 33320 33575 34000 34300 34816 35000 35392 35840 36125 36407 36992 37150 37604 38080 38710 39200 39500 40000 40448 40460 41608 41650 42500 42875 42976 43520 43750 43904 44240 44800 45662 46240 46648 47005 47552 47600 49000 49375 50000 50176 50524 50560 50575 51200 52010 53125 53312 53720 54194 54400 54880 55300 56000 56644 57800 58310 58697 59440 59500 60928 61250 61936 62500 62720 63155 63200 64000 64736 65807 66640 67150 68000 68600 69125 70000 70784 70805 71680 72250 72814 73984 74300 74375 75208 76160 77420 78400 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4940701641848000000 5533585838869760000 6916982298587200000 8137626233632000000 8646227873234000000 9881403283696000000 13833964597174400000 17292455746468000000 19762806567392000000 27667929194348800000 34584911492936000000 69169822985872000000 138339645971744000000
- Sum of all divisors σ(n): 434339447787030240000
- Sum of proper divisors (its aliquot sum) s(n): 295999801815286240000
- 138339645971744000000 is an abundant number, because the sum of its proper divisors (295999801815286240000) is greater than itself. Its abundance is 157660155843542240000
Bases of 138339645971744000000
- Binary: 11101111111110110010010011100001110011100110001100110001000000000002
- Hexadecimal: 0x77FD9270E73198800
- Base-36: T71FJQH2STLVK
Squares and roots of 138339645971744000000
- 138339645971744000000 squared (1383396459717440000002) is 19137857647587465926046401536000000000000
- 138339645971744000000 cubed (1383396459717440000003) is 2647524451624883484556089930857729134198784000000000000000000
-
The
square root of 138339645971744000000 is 11761787533.0131686579 -
The
cube root of 138339645971744000000 is 5171885.3230726595
Scales and comparisons
How big is 138339645971744000000?- 138,339,645,971,744,000,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,339,645,971,744,000,000 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 138339645971744000000 cubic inches would be around 430990.4 feet tall.
Recreational maths with 138339645971744000000
- 138339645971744000000 backwards is 000000447179546933831
- The number of decimal digits it has is: 21
- The sum of 138339645971744000000's digits is 74
- More coming soon!
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"Number 138339645971744000000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 138339645971744000000 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/138339645971744000000/
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The information we have on file for 138339645971744000000 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 138339645971744000000, math, Factors of 138339645971744000000, curriculum, school, college, exams, university, Prime factorization of 138339645971744000000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, three hundred thirty-nine quadrillion, six hundred forty-five trillion, nine hundred seventy-one billion, seven hundred forty-four million.