138346892081769600000
138,346,892,081,769,600,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138346892081769600000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 3168 divisors.
138346892081769600000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand, one hundred sixty-eight divisors.
Prime factorization of 138346892081769600000:
210 × 32 × 55 × 473 × 3593
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 47 × 47 × 47 × 359 × 359 × 359)See below for interesting mathematical facts about the number 138346892081769600000 from the Numbermatics database.
Names of 138346892081769600000
- Cardinal: 138346892081769600000 can be written as One hundred thirty-eight quintillion, three hundred forty-six quadrillion, eight hundred ninety-two trillion, eighty-one billion, seven hundred sixty-nine million, six hundred thousand.
Scientific notation
- Scientific notation: 1.383468920817696 × 1020
Factors of 138346892081769600000
Divisors of 138346892081769600000
- Number of divisors d(n): 3168
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 47 48 50 60 64 72 75 80 90 94 96 100 120 125 128 141 144 150 160 180 188 192 200 225 235 240 250 256 282 288 300 320 359 360 375 376 384 400 423 450 470 480 500 512 564 576 600 625 640 705 718 720 750 752 768 800 846 900 940 960 1000 1024 1077 1125 1128 1152 1175 1200 1250 1280 1410 1436 1440 1500 1504 1536 1600 1692 1795 1800 1875 1880 1920 2000 2115 2154 2209 2250 2256 2304 2350 2400 2500 2560 2820 2872 2880 3000 3008 3072 3125 3200 3231 3384 3525 3590 3600 3750 3760 3840 4000 4230 4308 4418 4500 4512 4608 4700 4800 5000 5120 5385 5625 5640 5744 5760 5875 6000 6016 6250 6400 6462 6627 6768 7050 7180 7200 7500 7520 7680 8000 8460 8616 8836 8975 9000 9024 9216 9375 9400 9600 10000 10575 10770 11045 11250 11280 11488 11520 11750 12000 12032 12500 12800 12924 13254 13536 14100 14360 14400 15000 15040 15360 16000 16155 16873 16920 17232 17625 17672 17950 18000 18048 18750 18800 19200 19881 20000 21150 21540 22090 22500 22560 22976 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864668075511060000 922312613878464000 960742306123400000 981183631785600000 1080835094388825000 1106775136654156800 1152890767348080000 1383468920817696000 1441113459185100000 1471775447678400000 1537187689797440000 1729336151022120000 1844625227756928000 1921484612246800000 2161670188777650000 2305781534696160000 2766937841635392000 2882226918370200000 2943550895356800000 3074375379594880000 3458672302044240000 3842969224493600000 4323340377555300000 4611563069392320000 5533875683270784000 5764453836740400000 6917344604088480000 7685938448987200000 8646680755110600000 9223126138784640000 11528907673480800000 13834689208176960000 15371876897974400000 17293361510221200000 23057815346961600000 27669378416353920000 34586723020442400000 46115630693923200000 69173446040884800000 138346892081769600000
- Sum of all divisors σ(n): 511589606375436825600
- Sum of proper divisors (its aliquot sum) s(n): 373242714293667225600
- 138346892081769600000 is an abundant number, because the sum of its proper divisors (373242714293667225600) is greater than itself. Its abundance is 234895822211897625600
Bases of 138346892081769600000
- Binary: 11101111111111100101110010101011010111010010010110111010100000000002
- Hexadecimal: 0x77FF2E55AE92DD400
- Base-36: T73EW9M2H1Q80
Squares and roots of 138346892081769600000
- 138346892081769600000 squared (1383468920817696000002) is 19139862548684804046852667484160000000000
- 138346892081769600000 cubed (1383468920817696000003) is 2647940498482800232172025881332519109832769536000000000000000
-
The
square root of 138346892081769600000 is 11762095565.0670344313 -
The
cube root of 138346892081769600000 is 5171975.6211105687
Scales and comparisons
How big is 138346892081769600000?- 138,346,892,081,769,600,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,346,892,081,769,600,000 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 138346892081769600000 cubic inches would be around 430998 feet tall.
Recreational maths with 138346892081769600000
- 138346892081769600000 backwards is 000006967180298643831
- The number of decimal digits it has is: 21
- The sum of 138346892081769600000's digits is 81
- More coming soon!
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"Number 138346892081769600000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 138346892081769600000 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/138346892081769600000/
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The information we have on file for 138346892081769600000 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 138346892081769600000, math, Factors of 138346892081769600000, curriculum, school, college, exams, university, Prime factorization of 138346892081769600000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, three hundred forty-six quadrillion, eight hundred ninety-two trillion, eighty-one billion, seven hundred sixty-nine million, six hundred thousand.