137428004975459443200
137,428,004,975,459,443,200 is an even composite number composed of four prime numbers multiplied together.
What does the number 137428004975459443200 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1650 divisors.
137428004975459443200 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, six hundred fifty divisors.
Prime factorization of 137428004975459443200:
29 × 310 × 52 × 6534
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 653 × 653 × 653 × 653)See below for interesting mathematical facts about the number 137428004975459443200 from the Numbermatics database.
Names of 137428004975459443200
- Cardinal: 137428004975459443200 can be written as One hundred thirty-seven quintillion, four hundred twenty-eight quadrillion, four trillion, nine hundred seventy-five billion, four hundred fifty-nine million, four hundred forty-three thousand, two hundred.
Scientific notation
- Scientific notation: 1.374280049754594432 × 1020
Factors of 137428004975459443200
Divisors of 137428004975459443200
- Number of divisors d(n): 1650
-
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 48 50 54 60 64 72 75 80 81 90 96 100 108 120 128 135 144 150 160 162 180 192 200 216 225 240 243 256 270 288 300 320 324 360 384 400 405 432 450 480 486 512 540 576 600 640 648 653 675 720 729 768 800 810 864 900 960 972 1080 1152 1200 1215 1280 1296 1306 1350 1440 1458 1536 1600 1620 1728 1800 1920 1944 1959 2025 2160 2187 2304 2400 2430 2560 2592 2612 2700 2880 2916 3200 3240 3265 3456 3600 3645 3840 3888 3918 4050 4320 4374 4608 4800 4860 5184 5224 5400 5760 5832 5877 6075 6400 6480 6530 6561 6912 7200 7290 7680 7776 7836 8100 8640 8748 9600 9720 9795 10368 10448 10800 10935 11520 11664 11754 12150 12800 12960 13060 13122 13824 14400 14580 15552 15672 16200 16325 17280 17496 17631 18225 19200 19440 19590 19683 20736 20896 21600 21870 23040 23328 23508 24300 25920 26120 26244 28800 29160 29385 31104 31344 32400 32650 32805 34560 34992 35262 36450 38400 38880 39180 39366 41472 41792 43200 43740 46656 47016 48600 48975 51840 52240 52488 52893 54675 57600 58320 58770 59049 62208 62688 64800 65300 65610 69120 69984 70524 72900 77760 78360 78732 83584 86400 87480 88155 93312 94032 97200 97950 98415 103680 104480 104976 105786 109350 115200 116640 117540 118098 124416 125376 129600 130600 131220 139968 141048 145800 146925 155520 156720 157464 158679 164025 167168 172800 174960 176310 186624 188064 194400 195900 196830 207360 208960 209952 211572 218700 233280 235080 236196 250752 259200 261200 262440 264465 279936 282096 291600 293850 295245 311040 313440 314928 317358 328050 334336 345600 349920 352620 373248 376128 388800 391800 393660 417920 419904 423144 426409 437400 440775 466560 470160 472392 476037 492075 501504 518400 522400 524880 528930 559872 564192 583200 587700 590490 622080 626880 629856 634716 656100 699840 705240 752256 777600 783600 787320 793395 835840 839808 846288 852818 874800 881550 933120 940320 944784 952074 984150 1003008 1036800 1044800 1049760 1057860 1119744 1128384 1166400 1175400 1180980 1253760 1259712 1269432 1279227 1312200 1322325 1399680 1410480 1428111 1476225 1504512 1555200 1567200 1574640 1586790 1671680 1679616 1692576 1705636 1749600 1763100 1866240 1880640 1889568 1904148 1968300 2089600 2099520 2115720 2132045 2256768 2332800 2350800 2361960 2380185 2507520 2519424 2538864 2558454 2624400 2644650 2799360 2820960 2856222 2952450 3009024 3110400 3134400 3149280 3173580 3359232 3385152 3411272 3499200 3526200 3761280 3779136 3808296 3837681 3936600 3966975 4179200 4199040 4231440 4264090 4284333 4513536 4665600 4701600 4723920 4760370 5015040 5038848 5077728 5116908 5248800 5289300 5598720 5641920 5712444 5904900 6268800 6298560 6347160 6396135 6770304 6822544 6998400 7052400 7140555 7522560 7558272 7616592 7675362 7873200 7933950 8358400 8398080 8462880 8528180 8568666 9027072 9331200 9403200 9447840 9520740 10077696 10155456 10233816 10497600 10578600 10660225 11283840 11424888 11513043 11809800 11900925 12537600 12597120 12694320 12792270 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318120381887637600 339328407346813440 343570012438648608 357885429623592300 381744458265165120 424160509183516800 429462515548310760 458093349918198144 477180572831456400 508992611020220160 536828144435388450 565547345578022400 572616687397747680 610791133224264192 636240763775275200 687140024877297216 715770859247184600 763488916530330240 848321018367033600 858925031096621520 916186699836396288 954361145662912800 1017985222040440320 1073656288870776900 1145233374795495360 1272481527550550400 1374280049754594432 1431541718494369200 1526977833060660480 1696642036734067200 1717850062193243040 1832373399672792576 1908722291325825600 2147312577741553800 2290466749590990720 2544963055101100800 2748560099509188864 2863083436988738400 3053955666121320960 3435700124386486080 3817444582651651200 4294625155483107600 4580933499181981440 5089926110202201600 5497120199018377728 5726166873977476800 6871400248772972160 7634889165303302400 8589250310966215200 9161866998363962880 11452333747954953600 13742800497545944320 15269778330606604800 17178500621932430400 22904667495909907200 27485600995091888640 34357001243864860800 45809334991819814400 68714002487729721600 137428004975459443200
- Sum of all divisors σ(n): 511513373522283789129
- Sum of proper divisors (its aliquot sum) s(n): 374085368546824345929
- 137428004975459443200 is an abundant number, because the sum of its proper divisors (374085368546824345929) is greater than itself. Its abundance is 236657363571364902729
Bases of 137428004975459443200
- Binary: 11101110011001100100101101001100110100000001110000000100010000000002
- Hexadecimal: 0x773325A6680E02200
- Base-36: T0435Z10I0000
Squares and roots of 137428004975459443200
- 137428004975459443200 squared (1374280049754594432002) is 18886456551534905475375870928054026240000
- 137428004975459443200 cubed (1374280049754594432003) is 2595528044933137587590808091778870796521472655588589568000000
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The
square root of 137428004975459443200 is 11722969119.4449302447 -
The
cube root of 137428004975459443200 is 5160499.5832555043
Scales and comparisons
How big is 137428004975459443200?- 137,428,004,975,459,443,200 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 137,428,004,975,459,443,200 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 137428004975459443200 cubic inches would be around 430041.6 feet tall.
Recreational maths with 137428004975459443200
- 137428004975459443200 backwards is 002344954579400824731
- 137428004975459443200 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 137428004975459443200's digits is 81
- More coming soon!
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The information we have on file for 137428004975459443200 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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