4138791681392640000
4,138,791,681,392,640,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 4138791681392640000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 5520 divisors.
4138791681392640000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five thousand, five hundred twenty divisors.
Prime factorization of 4138791681392640000:
222 × 37 × 54 × 532 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 53 × 53 × 257)See below for interesting mathematical facts about the number 4138791681392640000 from the Numbermatics database.
Names of 4138791681392640000
- Cardinal: 4138791681392640000 can be written as Four quintillion, one hundred thirty-eight quadrillion, seven hundred ninety-one trillion, six hundred eighty-one billion, three hundred ninety-two million, six hundred forty thousand.
Scientific notation
- Scientific notation: 4.13879168139264 × 1018
Factors of 4138791681392640000
Divisors of 4138791681392640000
- Number of divisors d(n): 5520
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 53 54 60 64 72 75 80 81 90 96 100 106 108 120 125 128 135 144 150 159 160 162 180 192 200 212 216 225 240 243 250 256 257 265 270 288 300 318 320 324 360 375 384 400 405 424 432 450 477 480 486 500 512 514 530 540 576 600 625 636 640 648 675 720 729 750 768 771 795 800 810 848 864 900 954 960 972 1000 1024 1028 1060 1080 1125 1152 1200 1215 1250 1272 1280 1285 1296 1325 1350 1431 1440 1458 1500 1536 1542 1590 1600 1620 1696 1728 1800 1875 1908 1920 1944 2000 2025 2048 2056 2120 2160 2187 2250 2304 2313 2385 2400 2430 2500 2544 2560 2570 2592 2650 2700 2809 2862 2880 2916 3000 3072 3084 3180 3200 3240 3375 3392 3456 3600 3645 3750 3816 3840 3855 3888 3975 4000 4050 4096 4112 4240 4293 4320 4374 4500 4608 4626 4770 4800 4860 5000 5088 5120 5140 5184 5300 5400 5618 5625 5724 5760 5832 6000 6075 6144 6168 6360 6400 6425 6480 6625 6750 6784 6912 6939 7155 7200 7290 7500 7632 7680 7710 7776 7950 8000 8100 8192 8224 8427 8480 8586 8640 8748 9000 9216 9252 9540 9600 9720 10000 10125 10176 10240 10280 10368 10600 10800 10935 11236 11250 11448 11520 11565 11664 11925 12000 12150 12288 12336 12720 12800 12850 12879 12960 13250 13500 13568 13621 13824 13878 14045 14310 14400 14580 15000 15264 15360 15420 15552 15900 16000 16200 16384 16448 16854 16875 16960 17172 17280 17496 18000 18225 18432 18504 19080 19200 19275 19440 19875 20000 20250 20352 20480 20560 20736 20817 21200 21465 21600 21870 22472 22500 22896 23040 23130 23328 23850 24000 24300 24576 24672 25281 25440 25600 25700 25758 25920 26500 27000 27136 27242 27648 27756 28090 28620 28800 29160 30000 30375 30528 30720 30840 31104 31800 32000 32125 32400 32768 32896 33125 33708 33750 33920 34344 34560 34695 34992 35775 36000 36450 36864 37008 38160 38400 38550 38637 38880 39750 40000 40500 40704 40863 40960 41120 41472 41634 42135 42400 42930 43200 43740 44944 45000 45792 46080 46260 46656 47700 48000 48600 49152 49344 50562 50625 50880 51200 51400 51516 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25867448008704000 26030136360960000 27591944542617600 28741608898560000 30657716158464000 32334310010880000 33110333451141120 34489930678272000 38322145198080000 39045204541440000 41387916813926400 43112413347840000 45986574237696000 51096193597440000 51734896017408000 55183889085235200 57483217797120000 64668620021760000 68979861356544000 76644290396160000 78090409082880000 82775833627852800 86224826695680000 91973148475392000 103469792034816000 114966435594240000 129337240043520000 137959722713088000 153288580792320000 165551667255705600 172449653391360000 206939584069632000 229932871188480000 258674480087040000 275919445426176000 344899306782720000 413879168139264000 459865742376960000 517348960174080000 689798613565440000 827758336278528000 1034697920348160000 1379597227130880000 2069395840696320000 4138791681392640000
- Sum of all divisors σ(n): 15872881721576843040
- Sum of proper divisors (its aliquot sum) s(n): 11734090040184203040
- 4138791681392640000 is an abundant number, because the sum of its proper divisors (11734090040184203040) is greater than itself. Its abundance is 7595298358791563040
Bases of 4138791681392640000
- Binary: 111001011011111111000100011011001000001100000000000000000000002
- Hexadecimal: 0x396FF11B20C00000
- Base-36: VG077E7EO000
Squares and roots of 4138791681392640000
- 4138791681392640000 squared (41387916813926400002) is 17129596581964916092409846169600000000
- 4138791681392640000 cubed (41387916813926400003) is 70895831839048194159071603223753997097631744000000000000
-
The
square root of 4138791681392640000 is 2034402045.1701871015 -
The
cube root of 4138791681392640000 is 1605552.5420226265
Scales and comparisons
How big is 4138791681392640000?- 4,138,791,681,392,640,000 seconds is equal to 131,600,773,345 years, 2 weeks, 6 days.
-
To count from 1 to 4,138,791,681,392,640,000 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 4138791681392640000 cubic inches would be around 133796 feet tall.
Recreational maths with 4138791681392640000
- 4138791681392640000 backwards is 0000462931861978314
- 4138791681392640000 is a
Harshad number . - The number of decimal digits it has is: 19
- The sum of 4138791681392640000's digits is 72
- More coming soon!
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The information we have on file for 4138791681392640000 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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