137338319536128000
137,338,319,536,128,000 is an even composite number composed of five prime numbers multiplied together.
137338319536128000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand, seven hundred forty-four divisors.
Prime factorization of 137338319536128000:
225 × 35 × 53 × 472 × 61
(2 × 2 × 2 × 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 × 5 × 5 × 5 × 47 × 47 × 61)See below for interesting mathematical facts about the number 137338319536128000 from the Numbermatics database.
Names of 137338319536128000
- Cardinal: 137338319536128000 can be written as One hundred thirty-seven quadrillion, three hundred thirty-eight trillion, three hundred nineteen billion, five hundred thirty-six million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.37338319536128 × 1017
Factors of 137338319536128000
Divisors of 137338319536128000
- Number of divisors d(n): 3744
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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 47 48 50 54 60 61 64 72 75 80 81 90 94 96 100 108 120 122 125 128 135 141 144 150 160 162 180 183 188 192 200 216 225 235 240 243 244 250 256 270 282 288 300 305 320 324 360 366 375 376 384 400 405 423 432 450 470 480 486 488 500 512 540 549 564 576 600 610 640 648 675 705 720 732 750 752 768 800 810 846 864 900 915 940 960 972 976 1000 1024 1080 1098 1125 1128 1152 1175 1200 1215 1220 1269 1280 1296 1350 1410 1440 1464 1500 1504 1525 1536 1600 1620 1647 1692 1728 1800 1830 1880 1920 1944 1952 2000 2025 2048 2115 2160 2196 2209 2250 2256 2304 2350 2400 2430 2440 2538 2560 2592 2700 2745 2820 2867 2880 2928 3000 3008 3050 3072 3200 3240 3294 3375 3384 3456 3525 3600 3660 3760 3807 3840 3888 3904 4000 4050 4096 4230 4320 4392 4418 4500 4512 4575 4608 4700 4800 4860 4880 4941 5076 5120 5184 5400 5490 5640 5734 5760 5856 5875 6000 6016 6075 6100 6144 6345 6400 6480 6588 6627 6750 6768 6912 7050 7200 7320 7520 7614 7625 7680 7776 7808 8000 8100 8192 8235 8460 8601 8640 8784 8836 9000 9024 9150 9216 9400 9600 9720 9760 9882 10125 10152 10240 10368 10575 10800 10980 11045 11280 11421 11468 11520 11712 11750 12000 12032 12150 12200 12288 12690 12800 12960 13176 13254 13500 13536 13725 13824 14100 14335 14400 14640 14823 15040 15228 15250 15360 15552 15616 16000 16200 16384 16470 16920 17202 17280 17568 17625 17672 18000 18048 18300 18432 18800 19035 19200 19440 19520 19764 19881 20250 20304 20480 20736 21150 21600 21960 22090 22560 22842 22875 22936 23040 23424 23500 24000 24064 24300 24400 24576 24705 25380 25600 25803 25920 26352 26508 27000 27072 27450 27648 28200 28670 28800 29280 29646 30080 30375 30456 30500 30720 31104 31232 31725 32000 32400 32768 32940 33135 33840 34404 34560 35136 35250 35344 36000 36096 36600 36864 37600 38070 38400 38880 39040 39528 39762 40500 40608 40960 41175 41472 42300 43005 43200 43920 44180 45120 45684 45750 45872 46080 46848 47000 48000 48128 48600 48800 49152 49410 50760 51200 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915588796907520 953738330112000 974030635008000 1017320885452800 1072955621376000 1098706556289024 1125723930624000 1144485996134400 1271651106816000 1373383195361280 1430607495168000 1461045952512000 1525981328179200 1695534809088000 1716728994201600 1831177593815040 1907476660224000 2145911242752000 2251447861248000 2288971992268800 2543302213632000 2746766390722560 2861214990336000 2922091905024000 3051962656358400 3433457988403200 3814953320448000 4291822485504000 4577943984537600 5086604427264000 5493532781445120 5722429980672000 6866915976806400 7629906640896000 8583644971008000 9155887969075200 11444859961344000 13733831953612800 15259813281792000 17167289942016000 22889719922688000 27467663907225600 34334579884032000 45779439845376000 68669159768064000 137338319536128000
- Sum of all divisors σ(n): 533247847884224928
- Sum of proper divisors (its aliquot sum) s(n): 395909528348096928
- 137338319536128000 is an abundant number, because the sum of its proper divisors (395909528348096928) is greater than itself. Its abundance is 258571208811968928
Bases of 137338319536128000
- Binary: 1111001111110110001111001010101100000000000000000000000002
- Hexadecimal: 0x1E7EC7956000000
- Base-36: 11KADCZTHC00
Squares and roots of 137338319536128000
- 137338319536128000 squared (1373383195361280002) is 18861814013007597865097232384000000
- 137338319536128000 cubed (1373383195361280003) is 2590449839949454248186180095389771499569152000000000
-
The
square root of 137338319536128000 is 370591850.3369009597 -
The
cube root of 137338319536128000 is 515937.6759252859
Scales and comparisons
How big is 137338319536128000?- 137,338,319,536,128,000 seconds is equal to 4,366,933,745 years, 48 weeks, 4 days.
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To count from 1 to 137,338,319,536,128,000 would take you about thirteen billion, one hundred million, eight hundred one thousand, two hundred thirty-seven 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 137338319536128000 cubic inches would be around 42994.8 feet tall.
Recreational maths with 137338319536128000
- 137338319536128000 backwards is 000821635913833731
- The number of decimal digits it has is: 18
- The sum of 137338319536128000's digits is 63
- More coming soon!
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The information we have on file for 137338319536128000 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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