13980612648960000
13,980,612,648,960,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 13980612648960000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 3400 divisors.
13980612648960000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand, four hundred divisors.
Prime factorization of 13980612648960000:
216 × 34 × 54 × 433 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 43 × 43 × 43 × 53)See below for interesting mathematical facts about the number 13980612648960000 from the Numbermatics database.
Names of 13980612648960000
- Cardinal: 13980612648960000 can be written as Thirteen quadrillion, nine hundred eighty trillion, six hundred twelve billion, six hundred forty-eight million, nine hundred sixty thousand.
Scientific notation
- Scientific notation: 1.398061264896 × 1016
Factors of 13980612648960000
Divisors of 13980612648960000
- Number of divisors d(n): 3400
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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 43 45 48 50 53 54 60 64 72 75 80 81 86 90 96 100 106 108 120 125 128 129 135 144 150 159 160 162 172 180 192 200 212 215 216 225 240 250 256 258 265 270 288 300 318 320 324 344 360 375 384 387 400 405 424 430 432 450 477 480 500 512 516 530 540 576 600 625 636 640 645 648 675 688 720 750 768 774 795 800 810 848 860 864 900 954 960 1000 1024 1032 1060 1075 1080 1125 1152 1161 1200 1250 1272 1280 1290 1296 1325 1350 1376 1431 1440 1500 1536 1548 1590 1600 1620 1696 1720 1728 1800 1849 1875 1908 1920 1935 2000 2025 2048 2064 2120 2150 2160 2250 2279 2304 2322 2385 2400 2500 2544 2560 2580 2592 2650 2700 2752 2862 2880 3000 3072 3096 3180 3200 3225 3240 3375 3392 3440 3456 3483 3600 3698 3750 3816 3840 3870 3975 4000 4050 4096 4128 4240 4293 4300 4320 4500 4558 4608 4644 4770 4800 5000 5088 5120 5160 5184 5300 5375 5400 5504 5547 5625 5724 5760 5805 6000 6144 6192 6360 6400 6450 6480 6625 6750 6784 6837 6880 6912 6966 7155 7200 7396 7500 7632 7680 7740 7950 8000 8100 8192 8256 8480 8586 8600 8640 9000 9116 9216 9245 9288 9540 9600 9675 10000 10125 10176 10240 10320 10368 10600 10750 10800 11008 11094 11250 11395 11448 11520 11610 11925 12000 12288 12384 12720 12800 12900 12960 13250 13500 13568 13674 13760 13824 13932 14310 14400 14792 15000 15264 15360 15480 15900 16000 16125 16200 16384 16512 16641 16875 16960 17172 17200 17280 17415 18000 18232 18432 18490 18576 19080 19200 19350 19875 20000 20250 20352 20480 20511 20640 20736 21200 21465 21500 21600 22016 22188 22500 22790 22896 23040 23220 23850 24000 24576 24768 25440 25600 25800 25920 26500 26875 27000 27136 27348 27520 27648 27735 27864 28620 28800 29025 29584 30000 30528 30720 30960 31800 32000 32250 32400 32768 33024 33125 33282 33750 33920 34185 34344 34400 34560 34830 35775 36000 36464 36864 36980 37152 38160 38400 38700 39750 40000 40500 40704 40960 41022 41280 41472 42400 42930 43000 43200 44032 44376 45000 45580 45792 46080 46225 46440 47700 48000 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139806126489600 145631381760000 155340140544000 162565263360000 172600156160000 174757658112000 186408168652800 194175175680000 218447072640000 233010210816000 258900234240000 263785144320000 279612252979200 291262763520000 310680281088000 325130526720000 349515316224000 388350351360000 436894145280000 466020421632000 517800468480000 559224505958400 582525527040000 699030632448000 776700702720000 873788290560000 932040843264000 1165051054080000 1398061264896000 1553401405440000 1747576581120000 2330102108160000 2796122529792000 3495153162240000 4660204216320000 6990306324480000 13980612648960000
- Sum of all divisors σ(n): 54445398613887600
- Sum of proper divisors (its aliquot sum) s(n): 40464785964927600
- 13980612648960000 is an abundant number, because the sum of its proper divisors (40464785964927600) is greater than itself. Its abundance is 26484173315967600
Bases of 13980612648960000
- Binary: 1100011010101101001011000010101010111100000000000000002
- Hexadecimal: 0x31AB4B0AAF0000
- Base-36: 3TNPOSAGW00
Squares and roots of 13980612648960000
- 13980612648960000 squared (139806126489600002) is 195457530040260348189081600000000
- 13980612648960000 cubed (139806126489600003) is 2732616016815343001943808046725595136000000000000
-
The
square root of 13980612648960000 is 118239640.7680605227 -
The
cube root of 13980612648960000 is 240902.9219895295
Scales and comparisons
How big is 13980612648960000?- 13,980,612,648,960,000 seconds is equal to 444,540,237 years, 18 weeks, 6 days.
-
To count from 1 to 13,980,612,648,960,000 would take you about one billion, three hundred thirty-three million, six hundred twenty thousand, seven hundred twelve 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 13980612648960000 cubic inches would be around 20075.2 feet tall.
Recreational maths with 13980612648960000
- 13980612648960000 backwards is 00006984621608931
- The number of decimal digits it has is: 17
- The sum of 13980612648960000's digits is 63
- More coming soon!
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Cite this page
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"Number 13980612648960000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 13980612648960000 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/13980612648960000/
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The information we have on file for 13980612648960000 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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