13974978428928000
13,974,978,428,928,000 is an even composite number composed of five prime numbers multiplied together.
13974978428928000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand, two hundred divisors.
Prime factorization of 13974978428928000:
224 × 37 × 53 × 11 × 277
(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 × 3 × 3 × 5 × 5 × 5 × 11 × 277)See below for interesting mathematical facts about the number 13974978428928000 from the Numbermatics database.
Names of 13974978428928000
- Cardinal: 13974978428928000 can be written as Thirteen quadrillion, nine hundred seventy-four trillion, nine hundred seventy-eight billion, four hundred twenty-eight million, nine hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.3974978428928 × 1016
Factors of 13974978428928000
Divisors of 13974978428928000
- Number of divisors d(n): 3200
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 64 66 72 75 80 81 88 90 96 99 100 108 110 120 125 128 132 135 144 150 160 162 165 176 180 192 198 200 216 220 225 240 243 250 256 264 270 275 277 288 297 300 320 324 330 352 360 375 384 396 400 405 432 440 450 480 486 495 500 512 528 540 550 554 576 594 600 640 648 660 675 704 720 729 750 768 792 800 810 825 831 864 880 891 900 960 972 990 1000 1024 1056 1080 1100 1108 1125 1152 1188 1200 1215 1280 1296 1320 1350 1375 1385 1408 1440 1458 1485 1500 1536 1584 1600 1620 1650 1662 1728 1760 1782 1800 1920 1944 1980 2000 2025 2048 2112 2160 2187 2200 2216 2250 2304 2376 2400 2430 2475 2493 2560 2592 2640 2673 2700 2750 2770 2816 2880 2916 2970 3000 3047 3072 3168 3200 3240 3300 3324 3375 3456 3520 3564 3600 3645 3840 3888 3960 4000 4050 4096 4125 4155 4224 4320 4374 4400 4432 4455 4500 4608 4752 4800 4860 4950 4986 5120 5184 5280 5346 5400 5500 5540 5632 5760 5832 5940 6000 6075 6094 6144 6336 6400 6480 6600 6648 6750 6912 6925 7040 7128 7200 7290 7425 7479 7680 7776 7920 8000 8019 8100 8192 8250 8310 8448 8640 8748 8800 8864 8910 9000 9141 9216 9504 9600 9720 9900 9972 10125 10240 10368 10560 10692 10800 10935 11000 11080 11264 11520 11664 11880 12000 12150 12188 12288 12375 12465 12672 12800 12960 13200 13296 13365 13500 13824 13850 14080 14256 14400 14580 14850 14958 15235 15360 15552 15840 16000 16038 16200 16384 16500 16620 16896 17280 17496 17600 17728 17820 18000 18225 18282 18432 19008 19200 19440 19800 19944 20250 20480 20736 20775 21120 21384 21600 21870 22000 22160 22275 22437 22528 23040 23328 23760 24000 24057 24300 24376 24576 24750 24930 25344 25600 25920 26400 26592 26730 27000 27423 27648 27700 28160 28512 28800 29160 29700 29916 30375 30470 30720 31104 31680 32000 32076 32400 32768 33000 33240 33792 34560 34625 34992 35200 35456 35640 36000 36450 36564 36864 37125 37395 38016 38400 38880 39600 39888 40095 40500 40960 41472 41550 42240 42768 43200 43740 44000 44320 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139749784289280 141161398272000 145572691968000 155277538099200 158806573056000 172530597888000 174687230361600 186333045719040 194096922624000 211742097408000 218359037952000 232916307148800 254090516889600 258795896832000 279499568578560 291145383936000 310555076198400 317613146112000 349374460723200 388193845248000 423484194816000 436718075904000 465832614297600 517591793664000 558999137157120 582290767872000 635226292224000 698748921446400 776387690496000 873436151808000 931665228595200 1164581535744000 1270452584448000 1397497842892800 1552775380992000 1746872303616000 2329163071488000 2794995685785600 3493744607232000 4658326142976000 6987489214464000 13974978428928000
- Sum of all divisors σ(n): 57276221863610880
- Sum of proper divisors (its aliquot sum) s(n): 43301243434682880
- 13974978428928000 is an abundant number, because the sum of its proper divisors (43301243434682880) is greater than itself. Its abundance is 29326265005754880
Bases of 13974978428928000
- Binary: 1100011010011000101011001110010000000000000000000000002
- Hexadecimal: 0x31A62B39000000
- Base-36: 3TLPSGLC000
Squares and roots of 13974978428928000
- 13974978428928000 squared (139749784289280002) is 195300022089002911147229184000000
- 13974978428928000 cubed (139749784289280003) is 2729313595862977599810323279916671434752000000000
-
The
square root of 13974978428928000 is 118215812.9394202491 -
The
cube root of 13974978428928000 is 240870.5561584681
Scales and comparisons
How big is 13974978428928000?- 13,974,978,428,928,000 seconds is equal to 444,361,086 years, 30 weeks, 6 days.
-
To count from 1 to 13,974,978,428,928,000 would take you about one billion, three hundred thirty-three million, eighty-three thousand, two hundred fifty-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 13974978428928000 cubic inches would be around 20072.5 feet tall.
Recreational maths with 13974978428928000
- 13974978428928000 backwards is 00082982487947931
- 13974978428928000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13974978428928000's digits is 81
- More coming soon!
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"Number 13974978428928000 - Facts about the integer". Numbermatics.com. 2024. Web. 2 June 2024.
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Numbermatics. (2024). Number 13974978428928000 - Facts about the integer. Retrieved 2 June 2024, from https://numbermatics.com/n/13974978428928000/
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Numbermatics. 2024. "Number 13974978428928000 - Facts about the integer". https://numbermatics.com/n/13974978428928000/
The information we have on file for 13974978428928000 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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