13038433045248000
13,038,433,045,248,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13038433045248000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2304 divisors.
13038433045248000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 13038433045248000:
211 × 3 × 53 × 133 × 37 × 4572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 13 × 13 × 37 × 457 × 457)See below for interesting mathematical facts about the number 13038433045248000 from the Numbermatics database.
Names of 13038433045248000
- Cardinal: 13038433045248000 can be written as Thirteen quadrillion, thirty-eight trillion, four hundred thirty-three billion, forty-five million, two hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.3038433045248 × 1016
Factors of 13038433045248000
Divisors of 13038433045248000
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 37 39 40 48 50 52 60 64 65 74 75 78 80 96 100 104 111 120 125 128 130 148 150 156 160 169 185 192 195 200 208 222 240 250 256 260 296 300 312 320 325 338 370 375 384 390 400 416 444 457 480 481 500 507 512 520 555 592 600 624 640 650 676 740 750 768 780 800 832 845 888 914 925 960 962 975 1000 1014 1024 1040 1110 1184 1200 1248 1280 1300 1352 1371 1443 1480 1500 1536 1560 1600 1625 1664 1690 1776 1828 1850 1920 1924 1950 2000 2028 2048 2080 2197 2220 2285 2368 2400 2405 2496 2535 2560 2600 2704 2742 2775 2886 2960 3000 3072 3120 3200 3250 3328 3380 3552 3656 3700 3840 3848 3900 4000 4056 4160 4225 4394 4440 4570 4625 4736 4800 4810 4875 4992 5070 5120 5200 5408 5484 5550 5772 5920 5941 6000 6144 6240 6253 6400 6500 6591 6656 6760 6855 7104 7215 7312 7400 7680 7696 7800 8000 8112 8320 8450 8788 8880 9140 9250 9472 9600 9620 9750 9984 10140 10240 10400 10816 10968 10985 11100 11425 11544 11840 11882 12000 12025 12480 12506 12675 12800 13000 13182 13312 13520 13710 13875 14208 14430 14624 14800 15360 15392 15600 16000 16224 16640 16900 16909 17576 17760 17823 18280 18500 18759 18944 19200 19240 19500 19968 20280 20800 21125 21632 21936 21970 22200 22850 23088 23680 23764 24000 24050 24960 25012 25350 25600 26000 26364 26624 27040 27420 27750 28416 28860 29248 29600 29705 30720 30784 31200 31265 32000 32448 32955 33280 33800 33818 34275 35152 35520 35646 36075 36560 37000 37518 37888 38400 38480 39000 39936 40560 41600 42250 43264 43872 43940 44400 45700 46176 47360 47528 48000 48100 49920 50024 50700 50727 51200 52000 52728 54080 54840 54925 55500 56832 57125 57720 58496 59200 59410 60125 61568 62400 62530 63375 64000 64896 65910 66560 67600 67636 68550 70304 71040 71292 72150 73120 74000 75036 75776 76800 76960 77233 78000 79872 81120 81289 83200 84500 84545 86528 87744 87880 88800 89115 91400 92352 93795 94720 95056 96000 96200 99840 100048 101400 101454 104000 105456 108160 109680 109850 111000 113664 114250 115440 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4698534430720 4755081344000 4821905712000 5014781940480 5093137908300 5143366092800 5223731188000 5421385881600 5432680435520 5506095036000 5706097612800 5873168038400 5934653184000 6268477425600 6366422385375 6429207616000 6519216522624 6686375920640 6776732352000 6790850544400 7047801646080 7132622016000 7341460048000 7715049139200 7835596782000 8023651104768 8149020653280 8357969900800 8488563180500 8692288696832 8809752057600 9035643136000 9510162688000 9643811424000 10029563880960 10186275816600 10447462376000 10865360871040 11012190072000 11746336076800 12536954851200 12732844770750 12858415232000 13038433045248 13372751841280 13553464704000 13581701088800 14095603292160 14265244032000 14682920096000 15430098278400 15671193564000 16298041306560 16715939801600 16977126361000 17384577393664 17619504115200 19287622848000 20059127761920 20372551633200 20894924752000 21730721742080 22024380144000 23492672153600 25073909702400 25465689541500 25716830464000 26076866090496 27106929408000 27163402177600 28530488064000 29365840192000 31342387128000 32596082613120 33431879603200 33954252722000 34769154787328 35239008230400 38575245696000 40118255523840 40745103266400 41789849504000 43461443484160 44048760288000 50147819404800 50931379083000 52153732180992 54326804355200 58731680384000 62684774256000 65192165226240 66863759206400 67908505444000 70478016460800 77150491392000 81490206532800 83579699008000 86922886968320 88097520576000 100295638809600 101862758166000 104307464361984 108653608710400 117463360768000 125369548512000 130384330452480 135817010888000 162980413065600 167159398016000 173845773936640 176195041152000 200591277619200 203725516332000 217307217420800 250739097024000 260768660904960 271634021776000 325960826131200 334318796032000 352390082304000 407451032664000 434614434841600 501478194048000 521537321809920 543268043552000 651921652262400 814902065328000 869228869683200 1002956388096000 1086536087104000 1303843304524800 1629804130656000 2173072174208000 2607686609049600 3259608261312000 4346144348416000 6519216522624000 13038433045248000
- Sum of all divisors σ(n): 48370747902422400
- Sum of proper divisors (its aliquot sum) s(n): 35332314857174400
- 13038433045248000 is an abundant number, because the sum of its proper divisors (35332314857174400) is greater than itself. Its abundance is 22293881811926400
Bases of 13038433045248000
- Binary: 1011100101001001100010110000100001011011111000000000002
- Hexadecimal: 0x2E5262C216F800
- Base-36: 3KDQLG8RX1C
Squares and roots of 13038433045248000
- 13038433045248000 squared (130384330452480002) is 170000736275415034815381504000000
- 13038433045248000 cubed (130384330452480003) is 2216543217569861793622998604669614292992000000000
-
The
square root of 13038433045248000 is 114185958.1789634937 -
The
cube root of 13038433045248000 is 235364.9560623183
Scales and comparisons
How big is 13038433045248000?- 13,038,433,045,248,000 seconds is equal to 414,581,840 years, 16 weeks, 3 days, 13 hours, 20 minutes.
-
To count from 1 to 13,038,433,045,248,000 would take you about one billion, two hundred forty-three million, seven hundred forty-five thousand, five hundred twenty 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 13038433045248000 cubic inches would be around 19613.7 feet tall.
Recreational maths with 13038433045248000
- 13038433045248000 backwards is 00084254033483031
- 13038433045248000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13038433045248000's digits is 48
- More coming soon!
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"Number 13038433045248000 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 13038433045248000 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/13038433045248000/
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The information we have on file for 13038433045248000 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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