137421386468912000
137,421,386,468,912,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 137421386468912000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2048 divisors.
137421386468912000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 137421386468912000:
27 × 53 × 7 × 13 × 293 × 1573
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 13 × 29 × 29 × 29 × 157 × 157 × 157)See below for interesting mathematical facts about the number 137421386468912000 from the Numbermatics database.
Names of 137421386468912000
- Cardinal: 137421386468912000 can be written as One hundred thirty-seven quadrillion, four hundred twenty-one trillion, three hundred eighty-six billion, four hundred sixty-eight million, nine hundred twelve thousand.
Scientific notation
- Scientific notation: 1.37421386468912 × 1017
Factors of 137421386468912000
Divisors of 137421386468912000
- Number of divisors d(n): 2048
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 29 32 35 40 50 52 56 58 64 65 70 80 91 100 104 112 116 125 128 130 140 145 157 160 175 182 200 203 208 224 232 250 260 280 290 314 320 325 350 364 377 400 406 416 448 455 464 500 520 560 580 628 640 650 700 725 728 754 785 800 812 832 841 875 896 910 928 1000 1015 1040 1099 1120 1160 1256 1300 1400 1450 1456 1508 1570 1600 1624 1625 1664 1682 1750 1820 1856 1885 2000 2030 2041 2080 2198 2240 2275 2320 2512 2600 2639 2800 2900 2912 3016 3140 3200 3248 3250 3364 3500 3625 3640 3712 3770 3925 4000 4060 4082 4160 4205 4396 4480 4550 4553 4640 5024 5075 5200 5278 5495 5600 5800 5824 5887 6032 6280 6496 6500 6728 7000 7250 7280 7540 7850 8000 8120 8164 8320 8410 8792 9100 9106 9280 9425 10048 10150 10205 10400 10556 10933 10990 11200 11375 11600 11648 11774 12064 12560 12992 13000 13195 13456 14000 14287 14500 14560 15080 15700 16000 16240 16328 16820 17584 18200 18212 18560 18850 19625 20096 20300 20410 20800 21025 21112 21866 21980 22400 22750 22765 23200 23548 24128 24389 24649 25120 25375 25984 26000 26390 26912 27475 28000 28574 29000 29120 29435 30160 31400 31871 32480 32656 33640 35168 36400 36424 37700 39250 40600 40820 41600 42050 42224 43732 43960 45500 45530 46400 47096 47125 48256 48778 49298 50240 50750 51025 52000 52780 53824 54665 54950 56000 57148 58000 58240 58870 59189 60320 62800 63742 64960 65312 65975 67280 70336 71435 72800 72848 75400 76531 78500 81200 81640 84100 84448 87464 87920 91000 91060 92800 94192 94250 97556 98596 100480 101500 102050 104000 105125 105560 107648 109330 109900 112000 113825 114296 116000 117740 118378 120640 121945 123245 125600 127484 129920 130624 131950 132037 134560 137375 140672 142870 145600 145696 147175 150800 153062 157000 159355 162400 163280 168200 168896 170723 172543 174928 175840 182000 182120 188384 188500 195112 197192 203000 204100 208000 210250 211120 218660 219800 227650 228592 232000 235480 236756 241280 243890 246490 251200 254968 255125 261248 263900 264074 269120 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13539052854080 13676491487750 14580518458240 14808339059150 15091300952000 15101251260320 15630275986000 16340236203200 16516993565975 16832604908000 16923816067600 17177673308614 17505909104320 18225648072800 18876564075400 18954673995712 19631626638416 20425295254000 21141751764448 21154770084500 21882386380400 22782060091000 23343194576000 23595705094250 23693342494640 24539533298020 25008441577600 26036640104000 26427189705560 27078105708160 27352982975500 29616678118300 30182601904000 30202502520640 30674416622525 31260551972000 32680472406400 33033987131950 33665209816000 33847632135200 34355346617228 35011818208640 36451296145600 37020847647875 37753128150800 37909347991424 39263253276832 40850590508000 42283503528896 42309540169000 42944183271535 43764772760800 45564120182000 47191410188500 47386684989280 49079066596040 52073280208000 52854379411120 54705965951000 59233356236600 60405005041280 61348833245050 62521103944000 66067974263900 67330419632000 67695264270400 68710693234456 72902592291200 74041695295750 75506256301600 78526506553664 81701181016000 82584967829875 84567007057792 84619080338000 85888366543070 87529545521600 91128240364000 94382820377000 94773369978560 98158133192080 105708758822240 109411931902000 118466712473200 122697666490100 125042207888000 132135948527800 135390528540800 137421386468912 148083390591500 151012512603200 153372083112625 157053013107328 163402362032000 165169935659750 169238160676000 171776733086140 175059091043200 182256480728000 188765640754000 189546739957120 196316266384160 211417517644480 214720916357675 218823863804000 236933424946400 245395332980200 264271897055600 274842772937824 296166781183000 302025025206400 306744166225250 330339871319500 338476321352000 343553466172280 364512961456000 377531281508000 392632532768320 422835035288960 429441832715350 437647727608000 473866849892800 490790665960400 528543794111200 549685545875648 592333562366000 613488332450500 660679742639000 676952642704000 687106932344560 755062563016000 785265065536640 858883665430700 875295455216000 947733699785600 981581331920800 1057087588222400 1073604581788375 1099371091751296 1184667124732000 1226976664901000 1321359485278000 1374213864689120 1510125126032000 1717767330861400 1963162663841600 2114175176444800 2147209163576750 2369334249464000 2453953329802000 2642718970556000 2748427729378240 3435534661722800 3926325327683200 4294418327153500 4738668498928000 4907906659604000 5285437941112000 5496855458756480 6871069323445600 8588836654307000 9815813319208000 10570875882224000 13742138646891200 17177673308614000 19631626638416000 27484277293782400 34355346617228000 68710693234456000 137421386468912000
- Sum of all divisors σ(n): 438318860353920000
- Sum of proper divisors (its aliquot sum) s(n): 300897473885008000
- 137421386468912000 is an abundant number, because the sum of its proper divisors (300897473885008000) is greater than itself. Its abundance is 163476087416096000
Bases of 137421386468912000
- Binary: 1111010000011100000000101110111010000010101101011100000002
- Hexadecimal: 0x1E83805DD056B80
- Base-36: 11L3TDF0JB7K
Squares and roots of 137421386468912000
- 137421386468912000 squared (1374213864689120002) is 18884637459038070123942463744000000
- 137421386468912000 cubed (1374213864689120003) is 2595153062583762943389824689913337743126528000000000
-
The
square root of 137421386468912000 is 370703906.7354321801 -
The
cube root of 137421386468912000 is 516041.6739033187
Scales and comparisons
How big is 137421386468912000?- 137,421,386,468,912,000 seconds is equal to 4,369,575,017 years, 23 weeks, 4 days, 3 hours, 33 minutes, 20 seconds.
-
To count from 1 to 137,421,386,468,912,000 would take you about thirteen billion, one hundred eight million, seven hundred twenty-five thousand and fifty-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 137421386468912000 cubic inches would be around 43003.5 feet tall.
Recreational maths with 137421386468912000
- 137421386468912000 backwards is 000219864683124731
- 137421386468912000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137421386468912000's digits is 65
- More coming soon!
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The information we have on file for 137421386468912000 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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