135742486788000000
135,742,486,788,000,000 is an even composite number composed of six prime numbers multiplied together.
135742486788000000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, four hundred two divisors.
Prime factorization of 135742486788000000:
28 × 32 × 56 × 17 × 532 × 2812
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 17 × 53 × 53 × 281 × 281)See below for interesting mathematical facts about the number 135742486788000000 from the Numbermatics database.
Names of 135742486788000000
- Cardinal: 135742486788000000 can be written as One hundred thirty-five quadrillion, seven hundred forty-two trillion, four hundred eighty-six billion, seven hundred eighty-eight million.
Scientific notation
- Scientific notation: 1.35742486788 × 1017
Factors of 135742486788000000
Divisors of 135742486788000000
- Number of divisors d(n): 3402
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 30 32 34 36 40 45 48 50 51 53 60 64 68 72 75 80 85 90 96 100 102 106 120 125 128 136 144 150 153 159 160 170 180 192 200 204 212 225 240 250 255 256 265 272 281 288 300 306 318 320 340 360 375 384 400 408 424 425 450 477 480 500 510 530 544 562 576 600 612 625 636 640 680 720 750 765 768 795 800 816 843 848 850 900 901 954 960 1000 1020 1060 1088 1124 1125 1152 1200 1224 1250 1272 1275 1280 1325 1360 1405 1440 1500 1530 1590 1600 1632 1686 1696 1700 1800 1802 1875 1908 1920 2000 2040 2120 2125 2176 2248 2250 2304 2385 2400 2448 2500 2529 2544 2550 2650 2703 2720 2809 2810 2880 3000 3060 3125 3180 3200 3264 3372 3392 3400 3600 3604 3750 3816 3825 3840 3975 4000 4080 4215 4240 4250 4352 4496 4500 4505 4770 4777 4800 4896 5000 5058 5088 5100 5300 5406 5440 5618 5620 5625 5760 6000 6120 6250 6360 6375 6400 6528 6625 6744 6784 6800 7025 7200 7208 7500 7632 7650 7950 8000 8109 8160 8427 8430 8480 8500 8992 9000 9010 9375 9540 9554 9600 9792 10000 10116 10176 10200 10600 10625 10812 10880 11236 11240 11250 11520 11925 12000 12240 12500 12645 12720 12750 13056 13250 13488 13515 13568 13600 14045 14050 14331 14400 14416 14893 15000 15264 15300 15625 15900 16000 16218 16320 16854 16860 16960 17000 17984 18000 18020 18750 19080 19108 19125 19200 19584 19875 20000 20232 20352 20400 21075 21200 21250 21624 21760 22472 22480 22500 22525 23850 23885 24000 24480 25000 25281 25290 25440 25500 26500 26976 27030 27200 28090 28100 28125 28662 28800 28832 29786 30000 30528 30600 31250 31800 31875 32000 32436 32640 33125 33708 33720 33920 34000 35125 35968 36000 36040 37500 38160 38216 38250 39168 39750 40000 40464 40545 40704 40800 42135 42150 42400 42500 42993 43248 44679 44944 44960 45000 45050 46875 47700 47753 47770 48000 48960 50000 50562 50580 50880 51000 53000 53125 53952 54060 54400 56180 56200 56250 57324 57600 57664 59572 59625 60000 61056 61200 62500 63225 63600 63750 64872 65280 66250 67416 67440 67575 67840 68000 70225 70250 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3992426082000000 4241952712125000 4524749559600000 5429699471520000 5655936949500000 6787124339400000 7541249266000000 7984852164000000 8483905424250000 9049499119200000 11311873899000000 13574248678800000 15082498532000000 16967810848500000 22623747798000000 27148497357600000 33935621697000000 45247495596000000 67871243394000000 135742486788000000
- Sum of all divisors σ(n): 529838477862821946
- Sum of proper divisors (its aliquot sum) s(n): 394095991074821946
- 135742486788000000 is an abundant number, because the sum of its proper divisors (394095991074821946) is greater than itself. Its abundance is 258353504286821946
Bases of 135742486788000000
- Binary: 1111000100100000100010010100100011110110101001001000000002
- Hexadecimal: 0x1E2411291ED4900
- Base-36: 114KP1JUFCW0
Squares and roots of 135742486788000000
- 135742486788000000 squared (1357424867880000002) is 18426022719390354556944000000000000
- 135742486788000000 cubed (1357424867880000003) is 2501194145542233034860606513655872000000000000000000
-
The
square root of 135742486788000000 is 368432472.4939429115 -
The
cube root of 135742486788000000 is 513931.5351232791
Scales and comparisons
How big is 135742486788000000?- 135,742,486,788,000,000 seconds is equal to 4,316,191,200 years, 40 weeks, 3 days, 8 hours.
-
To count from 1 to 135,742,486,788,000,000 would take you about twelve billion, nine hundred forty-eight million, five hundred seventy-three thousand, six hundred 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 135742486788000000 cubic inches would be around 42827.6 feet tall.
Recreational maths with 135742486788000000
- 135742486788000000 backwards is 000000887684247531
- The number of decimal digits it has is: 18
- The sum of 135742486788000000's digits is 63
- More coming soon!
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"Number 135742486788000000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 135742486788000000 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/135742486788000000/
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Numbermatics. 2024. "Number 135742486788000000 - Facts about the integer". https://numbermatics.com/n/135742486788000000/
The information we have on file for 135742486788000000 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 135742486788000000, math, Factors of 135742486788000000, curriculum, school, college, exams, university, Prime factorization of 135742486788000000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five quadrillion, seven hundred forty-two trillion, four hundred eighty-six billion, seven hundred eighty-eight million.