138377240248320000
138,377,240,248,320,000 is an even composite number composed of five prime numbers multiplied together.
138377240248320000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand, nine hundred divisors.
Prime factorization of 138377240248320000:
225 × 34 × 54 × 29 × 532
(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 × 5 × 5 × 5 × 5 × 29 × 53 × 53)See below for interesting mathematical facts about the number 138377240248320000 from the Numbermatics database.
Names of 138377240248320000
- Cardinal: 138377240248320000 can be written as One hundred thirty-eight quadrillion, three hundred seventy-seven trillion, two hundred forty billion, two hundred forty-eight million, three hundred twenty thousand.
Scientific notation
- Scientific notation: 1.3837724024832 × 1017
Factors of 138377240248320000
Divisors of 138377240248320000
- Number of divisors d(n): 3900
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 29 30 32 36 40 45 48 50 53 54 58 60 64 72 75 80 81 87 90 96 100 106 108 116 120 125 128 135 144 145 150 159 160 162 174 180 192 200 212 216 225 232 240 250 256 261 265 270 288 290 300 318 320 324 348 360 375 384 400 405 424 432 435 450 464 477 480 500 512 522 530 540 576 580 600 625 636 640 648 675 696 720 725 750 768 783 795 800 810 848 864 870 900 928 954 960 1000 1024 1044 1060 1080 1125 1152 1160 1200 1250 1272 1280 1296 1305 1325 1350 1392 1431 1440 1450 1500 1536 1537 1566 1590 1600 1620 1696 1728 1740 1800 1856 1875 1908 1920 2000 2025 2048 2088 2120 2160 2175 2250 2304 2320 2349 2385 2400 2500 2544 2560 2592 2610 2650 2700 2784 2809 2862 2880 2900 3000 3072 3074 3132 3180 3200 3240 3375 3392 3456 3480 3600 3625 3712 3750 3816 3840 3915 3975 4000 4050 4096 4176 4240 4293 4320 4350 4500 4608 4611 4640 4698 4770 4800 5000 5088 5120 5184 5220 5300 5400 5568 5618 5625 5724 5760 5800 6000 6144 6148 6264 6360 6400 6480 6525 6625 6750 6784 6912 6960 7155 7200 7250 7424 7500 7632 7680 7685 7830 7950 8000 8100 8192 8352 8427 8480 8586 8640 8700 9000 9216 9222 9280 9396 9540 9600 10000 10125 10176 10240 10368 10440 10600 10800 10875 11136 11236 11250 11448 11520 11600 11745 11925 12000 12288 12296 12528 12720 12800 12960 13050 13250 13500 13568 13824 13833 13920 14045 14310 14400 14500 14848 15000 15264 15360 15370 15660 15900 16000 16200 16384 16704 16854 16875 16960 17172 17280 17400 18000 18125 18432 18444 18560 18792 19080 19200 19575 19875 20000 20250 20352 20480 20736 20880 21200 21465 21600 21750 22272 22472 22500 22896 23040 23055 23200 23490 23850 24000 24576 24592 25056 25281 25440 25600 25920 26100 26500 27000 27136 27648 27666 27840 28090 28620 28800 29000 29696 30000 30528 30720 30740 31320 31800 32000 32400 32625 32768 33125 33408 33708 33750 33920 34344 34560 34800 35775 36000 36250 36864 36888 37120 37584 38160 38400 38425 39150 39750 40000 40500 40704 40960 41472 41499 41760 42135 42400 42930 43200 43500 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3843812229120000 4324288757760000 4612574674944000 4771628974080000 5125082972160000 5535089609932800 5765718343680000 6918862012416000 7687624458240000 8648577515520000 9225149349888000 11531436687360000 13837724024832000 15375248916480000 17297155031040000 23062873374720000 27675448049664000 34594310062080000 46125746749440000 69188620124160000 138377240248320000
- Sum of all divisors σ(n): 544701896950358070
- Sum of proper divisors (its aliquot sum) s(n): 406324656702038070
- 138377240248320000 is an abundant number, because the sum of its proper divisors (406324656702038070) is greater than itself. Its abundance is 267947416453718070
Bases of 138377240248320000
- Binary: 1111010111001110101011101111010100000000000000000000000002
- Hexadecimal: 0x1EB9D5DEA000000
- Base-36: 11UIMYKXDS00
Squares and roots of 138377240248320000
- 138377240248320000 squared (1383772402483200002) is 19148260618741272535262822400000000
- 138377240248320000 cubed (1383772402483200003) is 2649683459977005644363304834278640058368000000000000
-
The
square root of 138377240248320000 is 371990914.2013014275 -
The
cube root of 138377240248320000 is 517235.3773207131
Scales and comparisons
How big is 138377240248320000?- 138,377,240,248,320,000 seconds is equal to 4,399,968,210 years, 51 weeks, 3 days.
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To count from 1 to 138,377,240,248,320,000 would take you about thirteen billion, one hundred ninety-nine million, nine hundred four thousand, six hundred thirty-two 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 138377240248320000 cubic inches would be around 43102.9 feet tall.
Recreational maths with 138377240248320000
- 138377240248320000 backwards is 000023842042773831
- 138377240248320000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138377240248320000's digits is 54
- More coming soon!
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The information we have on file for 138377240248320000 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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