137890556942688000000
137,890,556,942,688,000,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 137890556942688000000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 4536 divisors.
137890556942688000000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four thousand, five hundred thirty-six divisors.
Prime factorization of 137890556942688000000:
211 × 38 × 56 × 11 × 77272
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 11 × 7727 × 7727)See below for interesting mathematical facts about the number 137890556942688000000 from the Numbermatics database.
Names of 137890556942688000000
- Cardinal: 137890556942688000000 can be written as One hundred thirty-seven quintillion, eight hundred ninety quadrillion, five hundred fifty-six trillion, nine hundred forty-two billion, six hundred eighty-eight million.
Scientific notation
- Scientific notation: 1.37890556942688 × 1020
Factors of 137890556942688000000
Divisors of 137890556942688000000
- Number of divisors d(n): 4536
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 64 66 72 75 80 81 88 90 96 99 100 108 110 120 125 128 132 135 144 150 160 162 165 176 180 192 198 200 216 220 225 240 243 250 256 264 270 275 288 297 300 320 324 330 352 360 375 384 396 400 405 432 440 450 480 486 495 500 512 528 540 550 576 594 600 625 640 648 660 675 704 720 729 750 768 792 800 810 825 864 880 891 900 960 972 990 1000 1024 1056 1080 1100 1125 1152 1188 1200 1215 1250 1280 1296 1320 1350 1375 1408 1440 1458 1485 1500 1536 1584 1600 1620 1650 1728 1760 1782 1800 1875 1920 1944 1980 2000 2025 2048 2112 2160 2187 2200 2250 2304 2376 2400 2430 2475 2500 2560 2592 2640 2673 2700 2750 2816 2880 2916 2970 3000 3072 3125 3168 3200 3240 3300 3375 3456 3520 3564 3600 3645 3750 3840 3888 3960 4000 4050 4125 4224 4320 4374 4400 4455 4500 4608 4752 4800 4860 4950 5000 5120 5184 5280 5346 5400 5500 5625 5632 5760 5832 5940 6000 6075 6144 6250 6336 6400 6480 6561 6600 6750 6875 6912 7040 7128 7200 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1723631961783600000 1838540759235840000 1915146624204000000 2089250862768000000 2154539952229500000 2298175949044800000 2507101035321600000 2553528832272000000 2757811138853760000 2872719936306000000 3064234598726400000 3133876294152000000 3447263923567200000 3830293248408000000 4178501725536000000 4309079904459000000 4596351898089600000 5107057664544000000 5515622277707520000 5745439872612000000 6267752588304000000 6894527847134400000 7660586496816000000 8618159808918000000 9192703796179200000 11490879745224000000 12535505176608000000 13789055694268800000 15321172993632000000 17236319617836000000 22981759490448000000 27578111388537600000 34472639235672000000 45963518980896000000 68945278471344000000 137890556942688000000
- Sum of all divisors σ(n): 563997133755066227580
- Sum of proper divisors (its aliquot sum) s(n): 426106576812378227580
- 137890556942688000000 is an abundant number, because the sum of its proper divisors (426106576812378227580) is greater than itself. Its abundance is 288216019869690227580
Bases of 137890556942688000000
- Binary: 11101111001100111011010101011110110110000011011000100011000000000002
- Hexadecimal: 0x7799DAAF6C1B11800
- Base-36: T3MLMYL940000
Squares and roots of 137890556942688000000
- 137890556942688000000 squared (1378905569426880000002) is 19013805693964681797716665344000000000000
- 137890556942688000000 cubed (1378905569426880000003) is 2621824256740842279482408469276019083804672000000000000000000
-
The
square root of 137890556942688000000 is 11742680994.6744274145 -
The
cube root of 137890556942688000000 is 5166282.7960621337
Scales and comparisons
How big is 137890556942688000000?- 137,890,556,942,688,000,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,890,556,942,688,000,000 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 137890556942688000000 cubic inches would be around 430523.6 feet tall.
Recreational maths with 137890556942688000000
- 137890556942688000000 backwards is 000000886249655098731
- 137890556942688000000 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 137890556942688000000's digits is 81
- More coming soon!
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Cite this page
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"Number 137890556942688000000 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 137890556942688000000 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/137890556942688000000/
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Numbermatics. 2024. "Number 137890556942688000000 - Facts about the integer". https://numbermatics.com/n/137890556942688000000/
The information we have on file for 137890556942688000000 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 137890556942688000000, math, Factors of 137890556942688000000, curriculum, school, college, exams, university, Prime factorization of 137890556942688000000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quintillion, eight hundred ninety quadrillion, five hundred fifty-six trillion, nine hundred forty-two billion, six hundred eighty-eight million.