137238982668480000
137,238,982,668,480,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 137238982668480000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3200 divisors.
137238982668480000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, two hundred divisors.
Prime factorization of 137238982668480000:
29 × 3 × 54 × 7 × 11 × 17 × 137 × 797161
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 7 × 11 × 17 × 137 × 797161)See below for interesting mathematical facts about the number 137238982668480000 from the Numbermatics database.
Names of 137238982668480000
- Cardinal: 137238982668480000 can be written as One hundred thirty-seven quadrillion, two hundred thirty-eight trillion, nine hundred eighty-two billion, six hundred sixty-eight million, four hundred eighty thousand.
Scientific notation
- Scientific notation: 1.3723898266848 × 1017
Factors of 137238982668480000
Divisors of 137238982668480000
- Number of divisors d(n): 3200
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 17 20 21 22 24 25 28 30 32 33 34 35 40 42 44 48 50 51 55 56 60 64 66 68 70 75 77 80 84 85 88 96 100 102 105 110 112 119 120 125 128 132 136 137 140 150 154 160 165 168 170 175 176 187 192 200 204 210 220 224 231 238 240 250 255 256 264 272 274 275 280 300 308 320 330 336 340 350 352 357 374 375 384 385 400 408 411 420 425 440 448 462 476 480 500 510 512 525 528 544 548 550 560 561 595 600 616 625 640 660 672 680 685 700 704 714 748 750 768 770 800 816 822 825 840 850 875 880 896 924 935 952 959 960 1000 1020 1050 1056 1088 1096 1100 1120 1122 1155 1190 1200 1232 1250 1275 1280 1309 1320 1344 1360 1370 1375 1400 1408 1428 1496 1500 1507 1536 1540 1600 1632 1644 1650 1680 1700 1750 1760 1785 1792 1848 1870 1875 1904 1918 1920 1925 2000 2040 2055 2100 2112 2125 2176 2192 2200 2240 2244 2310 2329 2380 2400 2464 2500 2550 2560 2618 2625 2640 2688 2720 2740 2750 2800 2805 2816 2856 2877 2975 2992 3000 3014 3080 3200 3264 3288 3300 3360 3400 3425 3500 3520 3570 3584 3696 3740 3750 3808 3836 3840 3850 3927 4000 4080 4110 4125 4200 4224 4250 4352 4375 4384 4400 4480 4488 4521 4620 4658 4675 4760 4795 4800 4928 5000 5100 5236 5250 5280 5376 5440 5480 5500 5600 5610 5632 5712 5754 5775 5950 5984 6000 6028 6160 6375 6400 6528 6545 6576 6600 6720 6800 6850 6875 6987 7000 7040 7140 7392 7480 7500 7535 7616 7672 7680 7700 7854 8000 8160 8220 8250 8400 8448 8500 8704 8750 8768 8800 8925 8960 8976 9042 9240 9316 9350 9520 9590 9600 9625 9856 10000 10200 10275 10472 10500 10549 10560 10625 10752 10880 10960 11000 11200 11220 11424 11508 11550 11645 11900 11968 12000 12056 12320 12750 12800 13056 13090 13125 13152 13200 13440 13600 13700 13750 13974 14000 14025 14080 14280 14385 14784 14875 14960 15000 15070 15232 15344 15400 15708 16000 16303 16320 16440 16500 16800 16896 17000 17125 17500 17536 17600 17850 17920 17952 18084 18480 18632 18700 19040 19180 19200 19250 19635 19712 20000 20400 20550 20625 20944 21000 21098 21120 21250 21760 21920 22000 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548955930673920 571829094452000 576634380960000 594108150080000 612674029770000 623813557584000 653518965088000 672740111120000 686194913342400 714786368065000 733898303040000 779766946980000 784222758105600 807288133344000 816898706360000 831751410112000 857743641678000 891162225120000 914926551123200 980278447632000 1001744399040000 1009110166680000 1039689262640000 1072179552097500 1097911861347840 1143658188904000 1153268761920000 1225348059540000 1247627115168000 1307037930176000 1345480222240000 1372389826684800 1429572736130000 1559533893960000 1614576266688000 1633797412720000 1715487283356000 1782324450240000 1829853102246400 1960556895264000 2018220333360000 2079378525280000 2144359104195000 2287316377808000 2450696119080000 2495254230336000 2690960444480000 2744779653369600 2859145472260000 3119067787920000 3267594825440000 3430974566712000 3921113790528000 4036440666720000 4158757050560000 4288718208390000 4574632755616000 4901392238160000 5489559306739200 5718290944520000 6238135575840000 6535189650880000 6861949133424000 8072881333440000 8577436416780000 9149265511232000 9802784476320000 11436581889040000 12476271151680000 13723898266848000 17154872833560000 19605568952640000 22873163778080000 27447796533696000 34309745667120000 45746327556160000 68619491334240000 137238982668480000
- Sum of all divisors σ(n): 607513693603931136
- Sum of proper divisors (its aliquot sum) s(n): 470274710935451136
- 137238982668480000 is an abundant number, because the sum of its proper divisors (470274710935451136) is greater than itself. Its abundance is 333035728266971136
Bases of 137238982668480000
- Binary: 1111001111001001000100000101010110100101001101110000000002
- Hexadecimal: 0x1E79220AB4A6E00
- Base-36: 11JB5Q9NAADC
Squares and roots of 137238982668480000
- 137238982668480000 squared (1372389826684800002) is 18834538363879353821585510400000000
- 137238982668480000 cubed (1372389826684800003) is 2584832884089260294778275515899894792192000000000000
-
The
square root of 137238982668480000 is 370457801.4679674687 -
The
cube root of 137238982668480000 is 515813.2532719309
Scales and comparisons
How big is 137238982668480000?- 137,238,982,668,480,000 seconds is equal to 4,363,775,140 years, 42 weeks, 1 day, 13 hours, 20 minutes.
-
To count from 1 to 137,238,982,668,480,000 would take you about thirteen billion, ninety-one million, three hundred twenty-five thousand, four hundred twenty-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 137238982668480000 cubic inches would be around 42984.4 feet tall.
Recreational maths with 137238982668480000
- 137238982668480000 backwards is 000084866289832731
- 137238982668480000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137238982668480000's digits is 75
- More coming soon!
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Cite this page
MLA style:
"Number 137238982668480000 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
APA style:
Numbermatics. (2024). Number 137238982668480000 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/137238982668480000/
Chicago style:
Numbermatics. 2024. "Number 137238982668480000 - Facts about the integer". https://numbermatics.com/n/137238982668480000/
The information we have on file for 137238982668480000 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!
Keywords: Divisors of 137238982668480000, math, Factors of 137238982668480000, curriculum, school, college, exams, university, Prime factorization of 137238982668480000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, two hundred thirty-eight trillion, nine hundred eighty-two billion, six hundred sixty-eight million, four hundred eighty thousand.