137442542469120000
137,442,542,469,120,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137442542469120000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 6480 divisors.
137442542469120000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six thousand, four hundred eighty divisors.
Prime factorization of 137442542469120000:
217 × 32 × 54 × 7 × 17 × 612 × 421
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 17 × 61 × 61 × 421)See below for interesting mathematical facts about the number 137442542469120000 from the Numbermatics database.
Names of 137442542469120000
- Cardinal: 137442542469120000 can be written as One hundred thirty-seven quadrillion, four hundred forty-two trillion, five hundred forty-two billion, four hundred sixty-nine million, one hundred twenty thousand.
Scientific notation
- Scientific notation: 1.3744254246912 × 1017
Factors of 137442542469120000
Divisors of 137442542469120000
- Number of divisors d(n): 6480
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 25 28 30 32 34 35 36 40 42 45 48 50 51 56 60 61 63 64 68 70 72 75 80 84 85 90 96 100 102 105 112 119 120 122 125 126 128 136 140 144 150 153 160 168 170 175 180 183 192 200 204 210 224 225 238 240 244 250 252 255 256 272 280 288 300 305 306 315 320 336 340 350 357 360 366 375 384 400 408 420 421 425 427 448 450 476 480 488 500 504 510 512 525 544 549 560 576 595 600 610 612 625 630 640 672 680 700 714 720 732 750 765 768 800 816 840 842 850 854 875 896 900 915 952 960 976 1000 1008 1020 1024 1037 1050 1071 1088 1098 1120 1125 1152 1190 1200 1220 1224 1250 1260 1263 1275 1280 1281 1344 1360 1400 1428 1440 1464 1500 1525 1530 1536 1575 1600 1632 1680 1684 1700 1708 1750 1785 1792 1800 1830 1875 1904 1920 1952 2000 2016 2040 2048 2074 2100 2105 2125 2135 2142 2176 2196 2240 2250 2304 2380 2400 2440 2448 2500 2520 2526 2550 2560 2562 2625 2688 2720 2745 2800 2856 2880 2928 2947 2975 3000 3050 3060 3072 3111 3150 3200 3264 3360 3368 3400 3416 3500 3570 3584 3600 3660 3721 3750 3789 3808 3825 3840 3843 3904 4000 4032 4080 4096 4148 4200 4210 4250 4270 4284 4352 4375 4392 4480 4500 4575 4608 4760 4800 4880 4896 5000 5040 5052 5100 5120 5124 5185 5250 5355 5376 5440 5490 5600 5625 5712 5760 5856 5894 5950 6000 6100 6120 6144 6222 6300 6315 6375 6400 6405 6528 6720 6736 6800 6832 7000 7140 7157 7168 7200 7259 7320 7442 7500 7578 7616 7625 7650 7680 7686 7808 7875 8000 8064 8160 8192 8296 8400 8420 8500 8540 8568 8704 8750 8784 8841 8925 8960 9000 9150 9216 9333 9520 9600 9760 9792 10000 10080 10104 10200 10240 10248 10370 10500 10525 10625 10675 10710 10752 10880 10980 11163 11200 11250 11424 11520 11712 11788 11900 12000 12200 12240 12288 12444 12600 12630 12750 12800 12810 13056 13125 13440 13472 13600 13664 13725 14000 14280 14314 14336 14400 14518 14640 14735 14875 14884 15000 15156 15232 15250 15300 15360 15372 15555 15616 15750 16000 16128 16320 16384 16592 16800 16840 17000 17080 17136 17408 17500 17568 17682 17850 17920 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4908662231040000 5497701698764800 5726772602880000 6544882974720000 6872127123456000 7635696803840000 8084855439360000 8590158904320000 9162836164608000 9817324462080000 11453545205760000 13744254246912000 15271393607680000 17180317808640000 19634648924160000 22907090411520000 27488508493824000 34360635617280000 45814180823040000 68721271234560000 137442542469120000
- Sum of all divisors σ(n): 611848550882945376
- Sum of proper divisors (its aliquot sum) s(n): 474406008413825376
- 137442542469120000 is an abundant number, because the sum of its proper divisors (474406008413825376) is greater than itself. Its abundance is 336963465944705376
Bases of 137442542469120000
- Binary: 1111010000100101101000011101000001110011000000000000000002
- Hexadecimal: 0x1E84B43A0E60000
- Base-36: 11LBBCCKTTS0
Squares and roots of 137442542469120000
- 137442542469120000 squared (1374425424691200002) is 18890452480375854826153574400000000
- 137442542469120000 cubed (1374425424691200003) is 2596351817294951670323436363967289622528000000000000
-
The
square root of 137442542469120000 is 370732440.5405062471 -
The
cube root of 137442542469120000 is 516068.1540552223
Scales and comparisons
How big is 137442542469120000?- 137,442,542,469,120,000 seconds is equal to 4,370,247,712 years, 42 weeks, 4 days, 16 hours.
-
To count from 1 to 137,442,542,469,120,000 would take you about thirteen billion, one hundred ten million, seven hundred forty-three thousand, one hundred thirty-eight 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 137442542469120000 cubic inches would be around 43005.7 feet tall.
Recreational maths with 137442542469120000
- 137442542469120000 backwards is 000021964245244731
- The number of decimal digits it has is: 18
- The sum of 137442542469120000's digits is 54
- More coming soon!
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Cite this page
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"Number 137442542469120000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 137442542469120000 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/137442542469120000/
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The information we have on file for 137442542469120000 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!
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