137324320980480000
137,324,320,980,480,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 137324320980480000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 3900 divisors.
137324320980480000 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 137324320980480000:
212 × 33 × 54 × 294 × 532
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 29 × 29 × 29 × 29 × 53 × 53)See below for interesting mathematical facts about the number 137324320980480000 from the Numbermatics database.
Names of 137324320980480000
- Cardinal: 137324320980480000 can be written as One hundred thirty-seven quadrillion, three hundred twenty-four trillion, three hundred twenty billion, nine hundred eighty million, four hundred eighty thousand.
Scientific notation
- Scientific notation: 1.3732432098048 × 1017
Factors of 137324320980480000
Divisors of 137324320980480000
- Number of divisors d(n): 3900
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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 29 30 32 36 40 45 48 50 53 54 58 60 64 72 75 80 87 90 96 100 106 108 116 120 125 128 135 144 145 150 159 160 174 180 192 200 212 216 225 232 240 250 256 261 265 270 288 290 300 318 320 348 360 375 384 400 424 432 435 450 464 477 480 500 512 522 530 540 576 580 600 625 636 640 675 696 720 725 750 768 783 795 800 841 848 864 870 900 928 954 960 1000 1024 1044 1060 1080 1125 1152 1160 1200 1250 1272 1280 1305 1325 1350 1392 1431 1440 1450 1500 1536 1537 1566 1590 1600 1682 1696 1728 1740 1800 1856 1875 1908 1920 2000 2048 2088 2120 2160 2175 2250 2304 2320 2385 2400 2500 2523 2544 2560 2610 2650 2700 2784 2809 2862 2880 2900 3000 3072 3074 3132 3180 3200 3364 3375 3392 3456 3480 3600 3625 3712 3750 3816 3840 3915 3975 4000 4096 4176 4205 4240 4320 4350 4500 4608 4611 4640 4770 4800 5000 5046 5088 5120 5220 5300 5400 5568 5618 5625 5724 5760 5800 6000 6144 6148 6264 6360 6400 6525 6625 6728 6750 6784 6912 6960 7155 7200 7250 7424 7500 7569 7632 7680 7685 7830 7950 8000 8352 8410 8427 8480 8640 8700 9000 9216 9222 9280 9540 9600 10000 10092 10176 10240 10440 10600 10800 10875 11136 11236 11250 11448 11520 11600 11925 12000 12288 12296 12528 12615 12720 12800 13050 13250 13456 13500 13568 13824 13833 13920 14045 14310 14400 14500 14848 15000 15138 15264 15360 15370 15660 15900 16000 16704 16820 16854 16875 16960 17280 17400 18000 18125 18432 18444 18560 19080 19200 19575 19875 20000 20184 20352 20480 20880 21025 21200 21600 21750 22272 22472 22500 22707 22896 23040 23055 23200 23850 24000 24389 24592 25056 25230 25281 25440 25600 26100 26500 26912 27000 27136 27648 27666 27840 28090 28620 28800 29000 29696 30000 30276 30528 30720 30740 31320 31800 32000 32625 33125 33408 33640 33708 33750 33920 34560 34800 35775 36000 36250 36864 36888 37120 37845 38160 38400 38425 39150 39750 40000 40368 40704 41499 41760 42050 42135 42400 43200 43500 44544 44573 44944 45000 45414 45792 46080 46110 46400 47700 48000 48778 49184 50112 50460 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3814564471680000 4291385030640000 4577477366016000 4735321413120000 5086085962240000 5492972839219200 5721846707520000 6866216049024000 7629128943360000 8582770061280000 9154954732032000 11443693415040000 13732432098048000 15258257886720000 17165540122560000 22887386830080000 27464864196096000 34331080245120000 45774773660160000 68662160490240000 137324320980480000
- Sum of all divisors σ(n): 536662483553839720
- Sum of proper divisors (its aliquot sum) s(n): 399338162573359720
- 137324320980480000 is an abundant number, because the sum of its proper divisors (399338162573359720) is greater than itself. Its abundance is 262013841592879720
Bases of 137324320980480000
- Binary: 1111001111101111110111110000010110001000000110000000000002
- Hexadecimal: 0x1E7DFBE0B103000
- Base-36: 11K5EQ5AVPC0
Squares and roots of 137324320980480000
- 137324320980480000 squared (1373243209804800002) is 18857969132749899508541030400000000
- 137324320980480000 cubed (1373243209804800003) is 2589657806225731255357352661913637486592000000000000
-
The
square root of 137324320980480000 is 370572963.0996843245 -
The
cube root of 137324320980480000 is 515920.1459120743
Scales and comparisons
How big is 137324320980480000?- 137,324,320,980,480,000 seconds is equal to 4,366,488,635 years, 8 weeks, 4 days.
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To count from 1 to 137,324,320,980,480,000 would take you about thirteen billion, ninety-nine million, four hundred sixty-five thousand, nine hundred five 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 137324320980480000 cubic inches would be around 42993.3 feet tall.
Recreational maths with 137324320980480000
- 137324320980480000 backwards is 000084089023423731
- 137324320980480000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137324320980480000's digits is 54
- More coming soon!
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The information we have on file for 137324320980480000 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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