137982640320
137,982,640,320 is an even composite number composed of seven prime numbers multiplied together.
137982640320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 137982640320:
26 × 33 × 5 × 7 × 29 × 151 × 521
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 29 × 151 × 521)See below for interesting mathematical facts about the number 137982640320 from the Numbermatics database.
Names of 137982640320
- Cardinal: 137982640320 can be written as One hundred thirty-seven billion, nine hundred eighty-two million, six hundred forty thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3798264032 × 1011
Factors of 137982640320
Divisors of 137982640320
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 29 30 32 35 36 40 42 45 48 54 56 58 60 63 64 70 72 80 84 87 90 96 105 108 112 116 120 126 135 140 144 145 151 160 168 174 180 189 192 203 210 216 224 232 240 252 261 270 280 288 290 302 315 320 336 348 360 378 406 420 432 435 448 453 464 480 504 521 522 540 560 576 580 604 609 630 672 696 720 755 756 783 812 840 864 870 906 928 945 960 1008 1015 1042 1044 1057 1080 1120 1160 1208 1218 1260 1305 1344 1359 1392 1440 1510 1512 1563 1566 1624 1680 1728 1740 1812 1827 1856 1890 2016 2030 2084 2088 2114 2160 2240 2265 2320 2416 2436 2520 2605 2610 2718 2784 2880 3020 3024 3045 3126 3132 3171 3248 3360 3480 3624 3647 3654 3780 3915 4032 4060 4077 4168 4176 4228 4320 4379 4530 4640 4689 4832 4872 5040 5210 5220 5285 5436 5481 5568 6040 6048 6090 6252 6264 6342 6496 6720 6795 6960 7248 7294 7308 7560 7815 7830 8120 8154 8336 8352 8456 8640 8758 9060 9135 9280 9378 9513 9664 9744 10080 10420 10440 10570 10872 10941 10962 12080 12096 12180 12504 12528 12684 12992 13137 13590 13920 14067 14496 14588 14616 15109 15120 15630 15660 15855 16240 16308 16672 16704 16912 17516 18120 18235 18270 18756 19026 19488 20160 20385 20840 20880 21140 21744 21882 21895 21924 23445 24160 24360 25008 25056 25368 26274 27180 27405 27840 28134 28539 28992 29176 29232 30218 30240 30653 31260 31320 31710 32480 32616 32823 33344 33824 35032 36240 36470 36540 37512 38052 38976 39411 40770 41680 41760 42280 43488 43764 43790 43848 45327 46890 47565 48320 48720 50016 50112 50736 52548 54360 54705 54810 56268 57078 58352 58464 60436 60480 61306 62520 62640 63420 64960 65232 65646 65685 67648 70064 70335 72480 72940 73080 75024 75545 76104 78671 78822 81540 83360 83520 84560 86976 87528 87580 87696 90654 91959 93780 95130 97440 98469 100032 101472 105096 105763 108720 109410 109620 112536 114156 116704 116928 118233 120872 122612 125040 125280 126840 130464 131292 131370 135981 140128 140670 142695 144960 145880 146160 150048 151090 152208 153265 157342 157644 163080 164115 166720 169120 175056 175160 175392 181308 183918 187560 190260 194880 196938 197055 202944 210192 211526 217440 218820 219240 225072 226635 228312 233408 236013 236466 241744 245224 250080 250560 253680 260928 262584 262740 271962 275877 280256 281340 285390 291760 292320 300096 302180 304416 306530 314684 315288 317289 326160 328230 338240 350112 350320 350784 362616 367836 375120 380520 393355 393876 394110 407943 420384 423052 434880 437640 438480 450144 453270 456624 459795 472026 472932 483488 490448 492345 500160 507360 525168 525480 528815 543924 550697 551754 562680 570780 583520 584640 591165 604360 608832 613060 629368 630576 634578 652320 656460 679905 700224 700640 708039 725232 735672 750240 761040 786710 787752 788220 815886 827631 840768 846104 875280 876960 900288 906540 913248 919590 944052 945864 951867 966976 980896 984690 1014720 1050336 1050960 1057630 1087848 1101394 1103508 1125360 1141560 1167040 1180065 1182330 1208720 1226120 1258736 1261152 1269156 1304640 1312920 1359810 1379385 1401280 1416078 1450464 1471344 1500480 1522080 1573420 1575504 1576440 1586445 1631772 1652091 1655262 1692208 1750560 1753920 1813080 1826496 1839180 1888104 1891728 1903734 1961792 1969380 2039715 2100672 2101920 2115260 2124117 2175696 2202788 2207016 2250720 2281459 2283120 2360130 2364660 2417440 2452240 2517472 2522304 2538312 2625840 2719620 2753485 2758770 2832156 2855601 2900928 2942688 3044160 3146840 3151008 3152880 3172890 3263544 3304182 3310524 3384416 3501120 3540195 3626160 3678360 3776208 3783456 3807468 3938760 4079430 4138155 4203840 4230520 4248234 4351392 4405576 4414032 4501440 4562918 4566240 4720260 4729320 4759335 4834880 4904480 4956273 5034944 5076624 5251680 5439240 5506970 5517540 5664312 5711202 5885376 6293680 6302016 6305760 6345780 6527088 6608364 6621048 6768832 6844377 7080390 7252320 7356720 7552416 7566912 7614936 7877520 8158860 8260455 8276310 8461040 8496468 8702784 8811152 8828064 9125836 9132480 9440520 9458640 9518670 9808960 9912546 10153248 10503360 10620585 10878480 11013940 11035080 11328624 11407295 11422404 12587360 12611520 12691560 13054176 13216728 13242096 13688754 14160780 14278005 14504640 14713440 14868819 15104832 15229872 15755040 15970213 16317720 16520910 16552620 16922080 16992936 17622304 17656128 18251672 18881040 18917280 19037340 19825092 20306496 20533131 21241170 21756960 22027880 22070160 22657248 22814590 22844808 24781365 25174720 25383120 26108352 26433456 26484192 27377508 28321560 28556010 29426880 29737638 30459744 31510080 31940426 32635440 33041820 33105240 33844160 33985872 34221885 35244608 36503344 37762080 37834560 38074680 39650184 41066262 42482340 43513920 44055760 44140320 45314496 45629180 45689616 47910639 49562730 50766240 52866912 52968384 54755016 56643120 57112020 59475276 60919488 61599393 63880852 65270880 66083640 66210480 67971744 68443770 73006688 74344095 75524160 76149360 79300368 79851065 82132524 84964680 88111520 88280640 91258360 91379232 95821278 99125460 101532480 102665655 105733824 109510032 113286240 114224040 118950552 123198786 127761704 130541760 132167280 132420960 135943488 136887540 143731917 146013376 148688190 152298720 158600736 159702130 164265048 169929360 176223040 182516720 182758464 191642556 198250920 205331310 219020064 226572480 228448080 237901104 239553195 246397572 255523408 264334560 264841920 273775080 287463834 297376380 304597440 307996965 317201472 319404260 328530096 339858720 365033440 383285112 396501840 410662620 431195751 438040128 456896160 475802208 479106390 492795144 511046816 528669120 547550160 574927668 594752760 615993930 638808520 657060192 679717440 718659585 730066880 766570224 793003680 821325240 862391502 913792320 951604416 958212780 985590288 1022093632 1095100320 1149855336 1189505520 1231987860 1277617040 1314120384 1437319170 1533140448 1586007360 1642650480 1724783004 1916425560 1971180576 2155978755 2190200640 2299710672 2379011040 2463975720 2555234080 2874638340 3066280896 3285300960 3449566008 3832851120 3942361152 4311957510 4599421344 4758022080 4927951440 5110468160 5749276680 6570601920 6899132016 7665702240 8623915020 9198842688 9855902880 11498553360 13798264032 15331404480 17247830040 19711805760 22997106720 27596528064 34495660080 45994213440 68991320160 137982640320
- Sum of all divisors σ(n): 580417228800
- Sum of proper divisors (its aliquot sum) s(n): 442434588480
- 137982640320 is an abundant number, because the sum of its proper divisors (442434588480) is greater than itself. Its abundance is 304451948160
Bases of 137982640320
- Binary: 100000001000000110100000000000110000002
- Hexadecimal: 0x20206800C0
- Base-36: 1RDZAUO0
Squares and roots of 137982640320
- 137982640320 squared (1379826403202) is 19039209029678489702400
- 137982640320 cubed (1379826403203) is 2627080331519423249847083040768000
-
The
square root of 137982640320 is 371460.1463414345 -
The
cube root of 137982640320 is 5167.4325555055
Scales and comparisons
How big is 137982640320?- 137,982,640,320 seconds is equal to 4,387 years, 21 weeks, 6 days, 7 hours, 12 minutes.
-
To count from 1 to 137,982,640,320 would take you about eight thousand, seven hundred seventy-four 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 137982640320 cubic inches would be around 430.6 feet tall.
Recreational maths with 137982640320
- 137982640320 backwards is 023046289731
- 137982640320 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137982640320's digits is 45
- More coming soon!
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The information we have on file for 137982640320 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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