3438057123537668800
3,438,057,123,537,668,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 3438057123537668800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 168 divisors.
3438057123537668800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 3438057123537668800:
26 × 52 × 7 × 19 × 16156283475271
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 19 × 16156283475271)See below for interesting mathematical facts about the number 3438057123537668800 from the Numbermatics database.
Names of 3438057123537668800
- Cardinal: 3438057123537668800 can be written as Three quintillion, four hundred thirty-eight quadrillion, fifty-seven trillion, one hundred twenty-three billion, five hundred thirty-seven million, six hundred sixty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 3.4380571235376688 × 1018
Factors of 3438057123537668800
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 16156283475304
Divisors of 3438057123537668800
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 25 28 32 35 38 40 50 56 64 70 76 80 95 100 112 133 140 152 160 175 190 200 224 266 280 304 320 350 380 400 448 475 532 560 608 665 700 760 800 950 1064 1120 1216 1330 1400 1520 1600 1900 2128 2240 2660 2800 3040 3325 3800 4256 5320 5600 6080 6650 7600 8512 10640 11200 13300 15200 21280 26600 30400 42560 53200 106400 212800 16156283475271 32312566950542 64625133901084 80781417376355 113093984326897 129250267802168 161562834752710 226187968653794 258500535604336 306969386030149 323125669505420 403907086881775 452375937307588 517001071208672 565469921634485 613938772060298 646251339010840 807814173763550 904751874615176 1034002142417344 1130939843268970 1227877544120596 1292502678021680 1534846930150745 1615628347527100 1809503749230352 2148785702211043 2261879686537940 2455755088241192 2585005356043360 2827349608172425 3069693860301490 3231256695054200 3619007498460704 4297571404422086 4523759373075880 4911510176482384 5170010712086720 5654699216344850 6139387720602980 6462513390108400 7238014996921408 7674234650753725 8595142808844172 9047518746151760 9823020352964768 10743928511055215 11309398432689700 12278775441205960 12925026780216800 15348469301507450 17190285617688344 18095037492303520 19646040705929536 21487857022110430 22618796865379400 24557550882411920 25850053560433600 30696938603014900 34380571235376688 36190074984607040 42975714044220860 45237593730758800 49115101764823840 53719642555276075 61393877206029800 68761142470753376 85951428088441720 90475187461517600 98230203529647680 107439285110552150 122787754412059600 137522284941506752 171902856176883440 180950374923035200 214878570221104300 245575508824119200 343805712353766880 429757140442208600 491151017648238400 687611424707533760 859514280884417200 1719028561768834400 3438057123537668800
- Sum of all divisors σ(n): 10177166086743338240
- Sum of proper divisors (its aliquot sum) s(n): 6739108963205669440
- 3438057123537668800 is an abundant number, because the sum of its proper divisors (6739108963205669440) is greater than itself. Its abundance is 3301051839668000640
Bases of 3438057123537668800
- Binary: 101111101101100110111010111100111111011111011011001010110000002
- Hexadecimal: 0x2FB66EBCFDF6CAC0
- Base-36: Q4CHJADXY6KG
Squares and roots of 3438057123537668800
- 3438057123537668800 squared (34380571235376688002) is 11820236784708109224598812538493440000
- 3438057123537668800 cubed (34380571235376688003) is 40638649279567704923243821702368057099769841692672000000
-
The
square root of 3438057123537668800 is 1854199860.7317574707 -
The
cube root of 3438057123537668800 is 1509284.2131127247
Scales and comparisons
How big is 3438057123537668800?- 3,438,057,123,537,668,800 seconds is equal to 109,319,581,919 years, 29 weeks, 4 days, 26 minutes, 40 seconds.
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To count from 1 to 3,438,057,123,537,668,800 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 3438057123537668800 cubic inches would be around 125773.7 feet tall.
Recreational maths with 3438057123537668800
- 3438057123537668800 backwards is 0088667353217508343
- The number of decimal digits it has is: 19
- The sum of 3438057123537668800's digits is 79
- More coming soon!
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