138712996816800
138,712,996,816,800 is an even composite number composed of nine prime numbers multiplied together.
What does the number 138712996816800 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 2304 divisors.
138712996816800 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138712996816800:
25 × 3 × 52 × 7 × 23 × 41 × 79 × 137 × 809
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 23 × 41 × 79 × 137 × 809)See below for interesting mathematical facts about the number 138712996816800 from the Numbermatics database.
Names of 138712996816800
- Cardinal: 138712996816800 can be written as One hundred thirty-eight trillion, seven hundred twelve billion, nine hundred ninety-six million, eight hundred sixteen thousand, eight hundred.
Scientific notation
- Scientific notation: 1.387129968168 × 1014
Factors of 138712996816800
Divisors of 138712996816800
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 25 28 30 32 35 40 41 42 46 48 50 56 60 69 70 75 79 80 82 84 92 96 100 105 112 115 120 123 137 138 140 150 158 160 161 164 168 175 184 200 205 210 224 230 237 240 246 274 276 280 287 300 316 322 328 336 345 350 368 395 400 410 411 420 460 474 480 483 492 525 548 552 553 560 574 575 600 615 632 644 656 672 685 690 700 736 790 800 805 809 820 822 840 861 920 943 948 959 966 984 1025 1050 1096 1104 1106 1120 1148 1150 1185 1200 1230 1264 1288 1312 1370 1380 1400 1435 1580 1610 1618 1640 1644 1659 1680 1722 1725 1817 1840 1886 1896 1918 1932 1968 1975 2050 2055 2100 2192 2208 2212 2296 2300 2370 2400 2415 2427 2460 2528 2576 2740 2760 2765 2800 2829 2870 2877 3075 3151 3160 3220 3236 3239 3280 3288 3318 3360 3425 3444 3450 3634 3680 3772 3792 3836 3864 3936 3950 4025 4045 4100 4110 4200 4305 4384 4424 4592 4600 4715 4740 4795 4830 4854 4920 5152 5451 5480 5520 5530 5600 5617 5658 5663 5740 5754 5925 6150 6302 6320 6440 6472 6478 6560 6576 6601 6636 6850 6888 6900 7175 7268 7544 7584 7672 7728 7900 8050 8090 8200 8220 8295 8400 8610 8848 9085 9184 9200 9430 9453 9480 9590 9660 9708 9717 9840 10275 10823 10902 10960 11040 11060 11234 11316 11326 11480 11508 11850 12075 12135 12300 12604 12640 12719 12880 12944 12956 13152 13202 13272 13700 13776 13800 13825 14145 14350 14385 14536 15088 15344 15456 15755 15800 16100 16180 16195 16400 16440 16590 16800 16851 16989 17220 17696 18170 18400 18607 18860 18906 18960 19180 19320 19416 19434 19680 19803 20225 20550 21525 21646 21804 21920 22057 22120 22468 22632 22652 22673 22960 23016 23575 23700 23975 24150 24270 24600 25208 25438 25760 25888 25912 26404 26544 27255 27400 27552 27600 27650 28085 28290 28315 28700 28770 29072 30176 30688 31510 31600 32200 32360 32390 32469 32800 32880 33005 33169 33180 33702 33978 34440 36340 37214 37720 37812 37920 38157 38360 38640 38832 38868 39319 39606 40450 41100 41475 43050 43292 43608 44114 44240 44936 45264 45304 45346 45425 45920 46032 47150 47265 47400 47950 48300 48540 48585 49200 50416 50876 51824 52808 53088 54115 54510 54800 55200 55300 55821 56170 56580 56630 57400 57540 58144 60675 63020 63200 63595 63911 64400 64720 64780 64938 65760 66010 66171 66338 66360 67404 67956 68019 68880 70725 71925 72680 74428 74497 75440 75624 75761 76314 76720 77280 77664 77736 78638 78775 79212 80900 80975 82200 82950 84255 84945 86100 86584 87216 88228 88480 89872 90528 90608 90692 90850 92064 93035 94300 94530 94800 95900 96600 97080 97170 98400 99015 99507 100832 101752 103648 105616 108230 109020 109600 110285 110600 110833 111642 112340 113160 113260 113365 114800 115080 117957 121350 126040 127190 127822 128800 129191 129440 129560 129876 130249 132020 132342 132676 132720 134808 135912 136038 136275 137760 140425 141450 141575 143850 145360 148856 148994 150880 151248 151522 152628 153440 155472 157276 157550 158424 161800 161950 162345 164400 165025 165845 165900 168510 169890 172200 173168 174432 176456 179744 181216 181384 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8779303596 8804379360 8974702175 9040210950 9193597350 9542721300 9642891680 9666410928 9806503840 10033489824 10051666436 10069178050 10125036264 10451551900 10506968400 10546912775 10706467800 10716393450 10769642610 10905967200 10974129495 11005474200 11277479416 11430819680 11487618784 11705738128 12053614600 12083013660 12247306800 12258129800 12347605200 12541862280 12564583045 12656295330 12723628400 12816501600 13500048352 14096849270 14275290400 14288524600 14359523480 14464337520 14632172660 14673965600 14709755760 15077499654 15103767075 15268354080 15677327850 16110684880 16513452002 16722483040 16875060440 16916219124 17146229520 17231428176 17558607192 17949404350 18080421900 18290215825 18387194700 19085442600 19332821856 20103332872 20138356100 20250072528 20903103800 21013936800 21093825550 21145273905 21412935600 21432786900 21539285220 21948258990 22010948400 22554958832 23411476256 24107229200 24166027320 24494613600 24516259600 24695210400 24770178003 25083724560 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101250362640 105726369525 107696426100 109741294950 112774794160 115594164014 117057381280 120619997232 120830136600 123850890015 125418622800 125645830450 126562953300 132107616016 135329752992 140968492700 143595234800 144643375200 146321726600 147097557600 150774996540 161106848800 165134520020 168750604400 169162191240 171462295200 172314281760 173391246021 175586071920 188468745675 198161424024 201033328720 202500725280 206418150025 211452739050 215392852200 219482589900 225549588320 231188328028 241239994464 241660273200 247701780030 250837245600 251291660900 253125906600 264215232032 281936985400 287190469600 288985410035 292643453200 301549993080 330269040040 337501208800 338324382480 346782492042 351172143840 376937491350 396322848048 402066657440 412836300050 422905478100 430785704400 438965179800 462376656056 483320546400 495403560060 502583321800 506251813200 563873970800 577970820070 585286906400 603099986160 619254450075 660538080080 676648764960 693564984084 753874982700 792645696096 825672600100 845810956200 861571408800 866956230105 877930359600 924753312112 990807120120 1005166643600 1012503626400 1127747941600 1155941640140 1206199972320 1238508900150 1321076160160 1387129968168 1444927050175 1507749965400 1651345200200 1691621912400 1733912460210 1755860719200 1849506624224 1981614240240 2010333287200 2311883280280 2477017800300 2774259936336 2889854100350 3015499930800 3302690400400 3383243824800 3467824920420 3963228480480 4334781150525 4623766560560 4954035600600 5548519872672 5779708200700 6030999861600 6605380800800 6935649840840 8669562301050 9247533121120 9908071201200 11559416401400 13871299681680 17339124602100 19816142402400 23118832802800 27742599363360 34678249204200 46237665605600 69356498408400 138712996816800
- Sum of all divisors σ(n): 563335144243200
- Sum of proper divisors (its aliquot sum) s(n): 424622147426400
- 138712996816800 is an abundant number, because the sum of its proper divisors (424622147426400) is greater than itself. Its abundance is 285909150609600
Bases of 138712996816800
- Binary: 111111000101000101000101110011010100111101000002
- Hexadecimal: 0x7E28A2E6A7A0
- Base-36: 1D63VCUAAO
Squares and roots of 138712996816800
- 138712996816800 squared (1387129968168002) is 19241295485897566932762240000
- 138712996816800 cubed (1387129968168003) is 2669017759486417411235113536751237632000000
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The
square root of 138712996816800 is 11777648.1870023609 -
The
cube root of 138712996816800 is 51765.3376948725
Scales and comparisons
How big is 138712996816800?- 138,712,996,816,800 seconds is equal to 4,410,644 years, 12 weeks, 4 hours, 40 minutes.
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To count from 1 to 138,712,996,816,800 would take you about eleven million, twenty-six thousand, six hundred ten 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 138712996816800 cubic inches would be around 4313.8 feet tall.
Recreational maths with 138712996816800
- 138712996816800 backwards is 008618699217831
- 138712996816800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138712996816800's digits is 69
- More coming soon!
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The information we have on file for 138712996816800 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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