138048032817200
138,048,032,817,200 is an even composite number composed of six prime numbers multiplied together.
138048032817200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred ten divisors.
Prime factorization of 138048032817200:
24 × 52 × 112 × 472 × 612 × 347
(2 × 2 × 2 × 2 × 5 × 5 × 11 × 11 × 47 × 47 × 61 × 61 × 347)See below for interesting mathematical facts about the number 138048032817200 from the Numbermatics database.
Names of 138048032817200
- Cardinal: 138048032817200 can be written as One hundred thirty-eight trillion, forty-eight billion, thirty-two million, eight hundred seventeen thousand, two hundred.
Scientific notation
- Scientific notation: 1.380480328172 × 1014
Factors of 138048032817200
Divisors of 138048032817200
- Number of divisors d(n): 810
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Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 40 44 47 50 55 61 80 88 94 100 110 121 122 176 188 200 220 235 242 244 275 305 347 376 400 440 470 484 488 517 550 605 610 671 694 752 880 940 968 976 1034 1100 1175 1210 1220 1342 1388 1525 1735 1880 1936 2068 2200 2209 2350 2420 2440 2585 2684 2776 2867 3025 3050 3355 3470 3721 3760 3817 4136 4400 4418 4700 4840 4880 5170 5368 5552 5687 5734 6050 6100 6710 6940 7381 7442 7634 8272 8675 8836 9400 9680 10340 10736 11045 11374 11468 12100 12200 12925 13420 13880 14335 14762 14884 15268 16309 16775 17350 17672 18605 18800 19085 20680 21167 22090 22748 22936 24200 24299 24400 25850 26840 27760 28435 28670 29524 29768 30536 31537 32618 33550 34700 35344 36905 37210 38170 40931 41360 41987 42334 44180 45496 45872 48400 48598 51700 53680 55225 56870 57340 59048 59536 61072 63074 65236 67100 69400 71675 73810 74420 76340 81545 81862 83974 84668 88360 90992 93025 95425 97196 103400 105835 110450 113740 114680 118096 121495 126148 130472 134200 134749 138800 142175 143350 147620 148840 152680 157685 163090 163724 167948 169336 174887 176720 179399 184525 186050 190850 194392 204655 206800 209935 211670 220900 227480 229360 232837 242990 252296 260944 267289 268400 269498 284350 286700 295240 297680 305360 315370 326180 327448 335896 338672 346907 349774 358798 369050 372100 381700 388784 407725 409310 419870 423340 441800 450241 454960 465674 485980 504592 529175 534578 538996 568700 573400 590480 607475 630740 652360 654896 671792 673745 693814 699548 717596 738100 744200 763400 766523 788425 815450 818620 839740 846680 874435 883600 896995 900482 931348 971960 994849 1023275 1049675 1058350 1069156 1077992 1137400 1146800 1164185 1214950 1261480 1291187 1304720 1336445 1347490 1387628 1399096 1435192 1476200 1482239 1488400 1526800 1533046 1576850 1630900 1637240 1679480 1693360 1734535 1748870 1793990 1800964 1862696 1923757 1943920 1973389 1989698 2046550 2099350 2116700 2138312 2155984 2251205 2274800 2328370 2429900 2522960 2561207 2582374 2672890 2694980 2775256 2798192 2870384 2952400 2964478 3066092 3153700 3261800 3274480 3358960 3368725 3469070 3497740 3587980 3601928 3725392 3832615 3847514 3946778 3979396 4093100 4198700 4233400 4276624 4372175 4484975 4502410 4656740 4859800 4974245 5122414 5164748 5345780 5389960 5550512 5820925 5928956 6132184 6307400 6455935 6523600 6682225 6737450 6938140 6995480 7175960 7203856 7411195 7665230 7695028 7893556 7958792 8186200 8219689 8397400 8431753 8466800 8672675 8744350 8969950 9004820 9313480 9618785 9719600 9866945 9948490 10244828 10329496 10691560 10779920 10943339 11256025 11641850 11857912 12264368 12614800 12806035 12911870 13364450 13474900 13876280 13990960 14203057 14351920 14822390 15330460 15390056 15787112 15917584 16304629 16372400 16439378 16794800 16863506 17345350 17488700 17939900 18009640 18626960 19163075 19237570 19733890 19896980 20489656 20658992 21161327 21383120 21886678 22512050 23283700 23715824 24871225 25612070 25823740 26728900 26949800 27752560 28406114 29644780 30660920 30780112 31574224 32279675 32609258 32878756 33727012 34690700 34977400 35879800 36019280 37055975 38326150 38475140 39467780 39793960 40979312 41098445 42158765 42322654 43773356 45024100 46567400 46757903 48093925 49334725 49742450 51224140 51647480 53457800 53899600 54716695 56812228 59289560 60685789 61321840 64030175 64559350 65218516 65757512 67454024 69381400 69954800 71015285 71759600 74111950 76652300 76950280 78935560 79587920 81523145 82196890 84317530 84645308 87546712 90048200 90416579 92749283 93134800 93515806 96187850 98669450 99484900 102448280 103294960 105806635 106915600 109433390 113624456 118579120 120376729 121371578 128060350 129118700 130437032 131515024 134908048 138762800 142030570 148223900 153304600 153900560 156233627 157871120 163046290 164393780 168635060 169290616 175093424 180096400 180833158 185498566 187031612 192375700 197338900 198969800 204896560 205492225 210793825 211613270 218866780 227248912 233789515 240753458 242743156 256120700 258237400 260874064 273583475 284061140 296447800 303428945 306609200 312467254 326092580 328787560 337270120 338581232 355076425 361666316 370997132 374063224 384751400 394677800 397939600 407615725 410984450 421587650 423226540 437733560 452082895 463746415 467579030 481506916 485486312 512241400 514336933 516474800 529033175 547166950 568122280 592895600 601883645 606857890 624934508 652185160 657575120 667543679 674540240 710152850 723332632 741994264 748126448 769502800 781168135 789355600 815231450 821968900 843175300 846453080 875467120 904165790 927492830 935158060 963013832 970972624 994582369 1024482800 1028673866 1058066350 1094333900 1136244560 1168947575 1203767290 1213715780 1249869016 1304370320 1335087358 1420305700 1446665264 1483988528 1517144725 1562336270 1630462900 1643937800 1686350600 1692906160 1808331580 1854985660 1870316120 1926027664 1989164738 2057347732 2116132700 2188667800 2260414475 2318732075 2337895150 2407534580 2427431560 2499738032 2571684665 2670174716 2840611400 2852232083 3009418225 3034289450 3124672540 3260925800 3287875600 3337718395 3372701200 3616663160 3709971320 3740632240 3905840675 3978329476 4114695464 4232265400 4377335600 4520828950 4637464150 4675790300 4815069160 4854863120 4972911845 5143369330 5340349432 5657706263 5681222800 5704464166 6018836450 6068578900 6249345080 6521851600 6675436790 7233326320 7342980469 7419942640 7811681350 7956658952 8229390928 8464530800 9041657900 9274928300 9351580600 9630138320 9945823690 10286738660 10680698864 11315412526 11408928332 12037672900 12137157800 12498690160 12858423325 13350873580 14261160415 14685960938 15623362700 15913317904 16688591975 18083315800 18549856600 18703161200 19891647380 20573477320 22630825052 22817856664 24075345800 24274315600 24864559225 25716846650 26701747160 28288531315 28522320830 29371921876 31246725400 31374552913 33377183950 36166631600 36714902345 37099713200 39783294760 41146954640 45261650104 45635713328 48150691600 49729118450 51433693300 53403494320 56577062630 57044641660 58743843752 62493450800 62749105826 66754367900 71305802075 73429804690 79566589520 90523300208 99458236900 102867386600 113154125260 114089283320 117487687504 125498211652 133508735800 141442656575 142611604150 146859609380 156872764565 183574511725 198916473800 205734773200 226308250520 228178566640 250996423304 267017471600 282885313150 285223208300 293719218760 313745529130 345120082043 367149023450 397832947600 452616501040 501992846608 565770626300 570446416600 587438437520 627491058260 690240164086 734298046900 784363822825 1131541252600 1140892833200 1254982116520 1380480328172 1468596093800 1568727645650 1725600410215 2263082505200 2509964233040 2760960656344 2937192187600 3137455291300 3451200820430 5521921312688 6274910582600 6902401640860 8628002051075 12549821165200 13804803281720 17256004102150 27609606563440 34512008204300 69024016408600 138048032817200
- Sum of all divisors σ(n): 379771327743444
- Sum of proper divisors (its aliquot sum) s(n): 241723294926244
- 138048032817200 is an abundant number, because the sum of its proper divisors (241723294926244) is greater than itself. Its abundance is 103675262109044
Bases of 138048032817200
- Binary: 111110110001101110011111111010101000000001100002
- Hexadecimal: 0x7D8DCFF54030
- Base-36: 1CXME2G0FK
Squares and roots of 138048032817200
- 138048032817200 squared (1380480328172002) is 19057259364698728168615840000
- 138048032817200 cubed (1380480328172003) is 2630817166183822049412181535419744448000000
-
The
square root of 138048032817200 is 11749384.3590717553 -
The
cube root of 138048032817200 is 51682.4874018737
Scales and comparisons
How big is 138048032817200?- 138,048,032,817,200 seconds is equal to 4,389,500 years, 22 weeks, 3 days, 14 hours, 33 minutes, 20 seconds.
-
To count from 1 to 138,048,032,817,200 would take you about ten million, nine hundred seventy-three thousand, seven hundred fifty-one 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 138048032817200 cubic inches would be around 4306.9 feet tall.
Recreational maths with 138048032817200
- 138048032817200 backwards is 002718230840831
- 138048032817200 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138048032817200's digits is 47
- More coming soon!
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The information we have on file for 138048032817200 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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