137708828393472000000
137,708,828,393,472,000,000 is an even composite number composed of four prime numbers multiplied together.
What does the number 137708828393472000000 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 9702 divisors.
137708828393472000000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of nine thousand, seven hundred two divisors.
Prime factorization of 137708828393472000000:
221 × 36 × 56 × 78
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7)See below for interesting mathematical facts about the number 137708828393472000000 from the Numbermatics database.
Names of 137708828393472000000
- Cardinal: 137708828393472000000 can be written as One hundred thirty-seven quintillion, seven hundred eight quadrillion, eight hundred twenty-eight trillion, three hundred ninety-three billion, four hundred seventy-two million.
Scientific notation
- Scientific notation: 1.37708828393472 × 1020
Factors of 137708828393472000000
Divisors of 137708828393472000000
- Number of divisors d(n): 9702
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 49 50 54 56 60 63 64 70 72 75 80 81 84 90 96 98 100 105 108 112 120 125 126 128 135 140 144 147 150 160 162 168 175 180 189 192 196 200 210 216 224 225 240 243 245 250 252 256 270 280 288 294 300 315 320 324 336 343 350 360 375 378 384 392 400 405 420 432 441 448 450 480 486 490 500 504 512 525 540 560 567 576 588 600 625 630 640 648 672 675 686 700 720 729 735 750 756 768 784 800 810 840 864 875 882 896 900 945 960 972 980 1000 1008 1024 1029 1050 1080 1120 1125 1134 1152 1176 1200 1215 1225 1250 1260 1280 1296 1323 1344 1350 1372 1400 1440 1458 1470 1500 1512 1536 1568 1575 1600 1620 1680 1701 1715 1728 1750 1764 1792 1800 1875 1890 1920 1944 1960 2000 2016 2025 2048 2058 2100 2160 2205 2240 2250 2268 2304 2352 2400 2401 2430 2450 2500 2520 2560 2592 2625 2646 2688 2700 2744 2800 2835 2880 2916 2940 3000 3024 3072 3087 3125 3136 3150 3200 3240 3360 3375 3402 3430 3456 3500 3528 3584 3600 3645 3675 3750 3780 3840 3888 3920 3969 4000 4032 4050 4096 4116 4200 4320 4375 4410 4480 4500 4536 4608 4704 4725 4800 4802 4860 4900 5000 5040 5103 5120 5145 5184 5250 5292 5376 5400 5488 5600 5625 5670 5760 5832 5880 6000 6048 6075 6125 6144 6174 6250 6272 6300 6400 6480 6615 6720 6750 6804 6860 6912 7000 7056 7168 7200 7203 7290 7350 7500 7560 7680 7776 7840 7875 7938 8000 8064 8100 8192 8232 8400 8505 8575 8640 8750 8820 8960 9000 9072 9216 9261 9375 9408 9450 9600 9604 9720 9800 10000 10080 10125 10206 10240 10290 10368 10500 10584 10752 10800 10976 11025 11200 11250 11340 11520 11664 11760 11907 12000 12005 12096 12150 12250 12288 12348 12500 12544 12600 12800 12960 13125 13230 13440 13500 13608 13720 13824 14000 14112 14175 14336 14400 14406 14580 14700 15000 15120 15360 15435 15552 15625 15680 15750 15876 16000 16128 16200 16384 16464 16800 16807 16875 17010 17150 17280 17500 17640 17920 18000 18144 18225 18375 18432 18522 18750 18816 18900 19200 19208 19440 19600 19845 20000 20160 20250 20412 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2295147139891200000 2459086221312000000 2550163488768000000 2754176567869440000 2810384252928000000 2868933924864000000 3060196186521600000 3278781628416000000 3442720709836800000 3825245233152000000 3934537954099200000 4303400887296000000 4590294279782400000 4918172442624000000 5100326977536000000 5508353135738880000 5737867849728000000 6557563256832000000 6885441419673600000 7650490466304000000 8606801774592000000 9180588559564800000 9836344885248000000 11475735699456000000 13770882839347200000 15300980932608000000 17213603549184000000 19672689770496000000 22951471398912000000 27541765678694400000 34427207098368000000 45902942797824000000 68854414196736000000 137708828393472000000
- Sum of all divisors σ(n): 602192776932532513449
- Sum of proper divisors (its aliquot sum) s(n): 464483948539060513449
- 137708828393472000000 is an abundant number, because the sum of its proper divisors (464483948539060513449) is greater than itself. Its abundance is 326775120145588513449
Bases of 137708828393472000000
- Binary: 11101110111000110000000100111001111101011000010000000000000000000002
- Hexadecimal: 0x7771809CFAC200000
- Base-36: T28W9KE9KW000
Squares and roots of 137708828393472000000
- 137708828393472000000 squared (1377088283934720000002) is 18963721417502720096452214784000000000000
- 137708828393472000000 cubed (1377088283934720000003) is 2611471858384491664882111737700159007490048000000000000000000
-
The
square root of 137708828393472000000 is 11734940493.8189609893 -
The
cube root of 137708828393472000000 is 5164012.2179844175
Scales and comparisons
How big is 137708828393472000000?- 137,708,828,393,472,000,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,708,828,393,472,000,000 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 137708828393472000000 cubic inches would be around 430334.4 feet tall.
Recreational maths with 137708828393472000000
- 137708828393472000000 backwards is 000000274393828807731
- 137708828393472000000 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 137708828393472000000's digits is 72
- More coming soon!
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"Number 137708828393472000000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
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Numbermatics. (2024). Number 137708828393472000000 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/137708828393472000000/
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The information we have on file for 137708828393472000000 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 137708828393472000000, math, Factors of 137708828393472000000, curriculum, school, college, exams, university, Prime factorization of 137708828393472000000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quintillion, seven hundred eight quadrillion, eight hundred twenty-eight trillion, three hundred ninety-three billion, four hundred seventy-two million.