41314538131200
41,314,538,131,200 is an even composite number composed of five prime numbers multiplied together.
What does the number 41314538131200 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 324 divisors.
41314538131200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty-four divisors.
Prime factorization of 41314538131200:
28 × 32 × 52 × 7883 × 90989
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7883 × 90989)See below for interesting mathematical facts about the number 41314538131200 from the Numbermatics database.
Names of 41314538131200
- Cardinal: 41314538131200 can be written as Forty-one trillion, three hundred fourteen billion, five hundred thirty-eight million, one hundred thirty-one thousand, two hundred.
Scientific notation
- Scientific notation: 4.13145381312 × 1013
Factors of 41314538131200
Divisors of 41314538131200
- Number of divisors d(n): 324
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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 48 50 60 64 72 75 80 90 96 100 120 128 144 150 160 180 192 200 225 240 256 288 300 320 360 384 400 450 480 576 600 640 720 768 800 900 960 1152 1200 1280 1440 1600 1800 1920 2304 2400 2880 3200 3600 3840 4800 5760 6400 7200 7883 9600 11520 14400 15766 19200 23649 28800 31532 39415 47298 57600 63064 70947 78830 90989 94596 118245 126128 141894 157660 181978 189192 197075 236490 252256 272967 283788 315320 354735 363956 378384 394150 454945 472980 504512 545934 567576 591225 630640 709470 727912 756768 788300 818901 909890 945960 1009024 1091868 1135152 1182450 1261280 1364835 1418940 1455824 1513536 1576600 1637802 1773675 1819780 1891920 2018048 2183736 2270304 2274725 2364900 2522560 2729670 2837880 2911648 3027072 3153200 3275604 3547350 3639560 3783840 4094505 4367472 4540608 4549450 4729800 5045120 5459340 5675760 5823296 6054144 6306400 6551208 6824175 7094700 7279120 7567680 8189010 8734944 9081216 9098900 9459600 10090240 10918680 11351520 11646592 12612800 13102416 13648350 14189400 14558240 15135360 16378020 17469888 18162432 18197800 18919200 20472525 21837360 22703040 23293184 25225600 26204832 27296700 28378800 29116480 30270720 32756040 34939776 36395600 37838400 40945050 43674720 45406080 50451200 52409664 54593400 56757600 58232960 65512080 69879552 72791200 75676800 81890100 87349440 90812160 104819328 109186800 113515200 116465920 131024160 145582400 151353600 163780200 174698880 209638656 218373600 227030400 262048320 291164800 327560400 349397760 436747200 454060800 524096640 582329600 655120800 717266287 873494400 1048193280 1310241600 1434532574 1746988800 2151798861 2620483200 2869065148 3586331435 4303597722 5240966400 5738130296 6455396583 7172662870 8607195444 10758994305 11476260592 12910793166 14345325740 17214390888 17931657175 21517988610 22952521184 25821586332 28690651480 32276982915 34428781776 35863314350 43035977220 45905042368 51643172664 53794971525 57381302960 64553965830 68857563552 71726628700 86071954440 91810084736 103286345328 107589943050 114762605920 129107931660 137715127104 143453257400 161384914575 172143908880 183620169472 206572690656 215179886100 229525211840 258215863320 275430254208 286906514800 322769829150 344287817760 413145381312 430359772200 459050423680 516431726640 550860508416 573813029600 645539658300 688575635520 826290762624 860719544400 918100847360 1032863453280 1147626059200 1291079316600 1377151271040 1652581525248 1721439088800 2065726906560 2295252118400 2582158633200 2754302542080 3442878177600 4131453813120 4590504236800 5164317266400 6885756355200 8262907626240 10328634532800 13771512710400 20657269065600 41314538131200
- Sum of all divisors σ(n): 147729159494280
- Sum of proper divisors (its aliquot sum) s(n): 106414621363080
- 41314538131200 is an abundant number, because the sum of its proper divisors (106414621363080) is greater than itself. Its abundance is 65100083231880
Bases of 41314538131200
- Binary: 10010110010011010010100101111010001111000000002
- Hexadecimal: 0x25934A5E8F00
- Base-36: EN7MXAKG0
Squares and roots of 41314538131200
- 41314538131200 squared (413145381312002) is 1706891060994378788413440000
- 41314538131200 cubed (413145381312003) is 70519415825256687442763523630563328000000
-
The
square root of 41314538131200 is 6427638.6123676867 -
The
cube root of 41314538131200 is 34570.1263889407
Scales and comparisons
How big is 41314538131200?- 41,314,538,131,200 seconds is equal to 1,313,674 years, 26 weeks, 6 days, 16 hours.
-
To count from 1 to 41,314,538,131,200 would take you about three million, two hundred eighty-four thousand, one hundred eighty-six 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 41314538131200 cubic inches would be around 2880.8 feet tall.
Recreational maths with 41314538131200
- 41314538131200 backwards is 00213183541314
- 41314538131200 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 41314538131200's digits is 36
- More coming soon!
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