138904749984000
138,904,749,984,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138904749984000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3456 divisors.
138904749984000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 138904749984000:
28 × 3 × 53 × 72 × 11 × 13 × 37 × 5581
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 11 × 13 × 37 × 5581)See below for interesting mathematical facts about the number 138904749984000 from the Numbermatics database.
Names of 138904749984000
- Cardinal: 138904749984000 can be written as One hundred thirty-eight trillion, nine hundred four billion, seven hundred forty-nine million, nine hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.38904749984 × 1014
Factors of 138904749984000
Divisors of 138904749984000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 20 21 22 24 25 26 28 30 32 33 35 37 39 40 42 44 48 49 50 52 55 56 60 64 65 66 70 74 75 77 78 80 84 88 91 96 98 100 104 105 110 111 112 120 125 128 130 132 140 143 147 148 150 154 156 160 165 168 175 176 182 185 192 195 196 200 208 210 220 222 224 231 240 245 250 256 259 260 264 273 275 280 286 294 296 300 308 312 320 325 330 336 350 352 364 370 375 384 385 390 392 400 407 416 420 429 440 444 448 455 462 480 481 490 500 518 520 525 528 539 546 550 555 560 572 588 592 600 616 624 637 640 650 660 672 700 704 715 728 735 740 750 768 770 777 780 784 800 814 825 832 840 858 875 880 888 896 910 924 925 960 962 975 980 1000 1001 1036 1040 1050 1056 1078 1092 1100 1110 1120 1144 1155 1176 1184 1200 1221 1225 1232 1248 1274 1280 1295 1300 1320 1344 1365 1375 1400 1408 1430 1443 1456 1470 1480 1500 1540 1554 1560 1568 1600 1617 1625 1628 1650 1664 1680 1716 1750 1760 1776 1792 1813 1820 1848 1850 1911 1920 1924 1925 1950 1960 2000 2002 2035 2072 2080 2100 2112 2145 2156 2184 2200 2220 2240 2275 2288 2310 2352 2368 2400 2405 2442 2450 2464 2496 2548 2590 2600 2625 2640 2688 2695 2730 2750 2775 2800 2816 2849 2860 2886 2912 2940 2960 3000 3003 3080 3108 3120 3136 3185 3200 3234 3250 3256 3300 3328 3360 3367 3432 3500 3520 3552 3575 3626 3640 3675 3696 3700 3822 3840 3848 3850 3885 3900 3920 4000 4004 4070 4125 4144 4160 4200 4224 4290 4312 4368 4400 4440 4480 4550 4576 4620 4625 4704 4736 4800 4810 4875 4884 4900 4928 4992 5005 5096 5180 5200 5250 5280 5291 5376 5390 5439 5460 5500 5550 5581 5600 5698 5720 5772 5775 5824 5880 5920 6000 6006 6105 6125 6160 6216 6240 6272 6370 6400 6468 6475 6500 6512 6600 6720 6734 6825 6864 7000 7007 7040 7104 7150 7215 7252 7280 7350 7392 7400 7644 7696 7700 7770 7800 7840 8000 8008 8085 8140 8250 8288 8320 8400 8448 8547 8580 8624 8736 8800 8880 8960 9065 9100 9152 9240 9250 9408 9472 9555 9600 9620 9625 9750 9768 9800 9856 9984 10010 10101 10175 10192 10360 10400 10500 10560 10582 10725 10780 10878 10920 11000 11100 11162 11200 11375 11396 11440 11544 11550 11648 11760 11840 12000 12012 12025 12210 12250 12320 12432 12480 12544 12740 12936 12950 13000 13024 13200 13440 13468 13475 13650 13728 13875 14000 14014 14080 14208 14245 14300 14430 14504 14560 14700 14784 14800 15015 15288 15392 15400 15540 15600 15680 15873 15925 16000 16016 16170 16280 16500 16576 16640 16743 16800 16835 17094 17160 17248 17472 17600 17760 17875 18130 18200 18304 18375 18480 18500 18816 19110 19200 19240 19250 19425 19500 19536 19600 19712 19943 20020 20202 20350 20384 20720 20800 21000 21021 21120 21164 21450 21560 21756 21840 22000 22200 22324 22400 22750 22792 22880 23088 23100 23296 23520 23569 23680 24000 24024 24050 24420 24500 24640 24864 24960 25025 25480 25872 25900 26000 26048 26400 26455 26880 26936 26950 27195 27300 27456 27750 27905 28000 28028 28416 28490 28600 28860 28875 29008 29120 29400 29568 29600 30030 30525 30576 30784 30800 31080 31200 31360 31746 31850 32000 32032 32340 32375 32560 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47700807000 48130544000 48568094400 48755616000 49326970875 49608839280 50055765760 50510818176 50880860800 51541651200 51675874250 52615435600 52916095232 53424903840 53631177600 54515208000 55650941500 56373681000 56695816320 56881552000 57756652800 57876979160 58659100500 59058142000 60131926400 60710118000 61057032960 62011049100 62569707200 63138522720 63601076000 64427064000 64757459200 65769294500 66145119040 66781129800 67038972000 68257862400 69382992000 69452374992 70869770400 71233205120 72158311680 72195816000 72346223950 72686944000 75083648640 75164908000 76321291200 76615968000 77513811375 78212134000 78923153400 79374142848 80946824000 82681398800 83476412250 84184696960 85322328000 85479846144 85902752000 86815468740 88587213000 89041506400 89385296000 90197889600 92603166656 93854560800 94493027200 95401614000 96261088000 97136188800 98653941750 99217678560 101021636352 101761721600 103351748500 105230871200 106849807680 107262355200 108519335925 109030416000 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315692613600 323787296000 330725595200 333905649000 341289312000 347261874960 354348852000 356166025600 360791558400 361731119750 370412666624 375418243200 381606456000 394615767000 396870714240 413406994000 420923484800 427399230720 434077343700 445207532000 450989448000 463015833280 469272804000 472465136000 485680944000 496088392800 505108181760 508808608000 526154356000 534249038400 536311776000 542596679625 555618999936 566958163200 578769791600 601319264000 620110491000 625697072000 631385227200 661451190400 667811298000 694523749920 708697704000 712332051200 723462239500 750836486400 763212912000 789231534000 793741428480 826813988000 841846969600 868154687400 890415064000 901978896000 926031666560 938545608000 944930272000 971361888000 992176785600 1052308712000 1068498076800 1085193359250 1111237999872 1157539583200 1240220982000 1251394144000 1262770454400 1322902380800 1335622596000 1389047499840 1417395408000 1446924479000 1526425824000 1578463068000 1653627976000 1736309374800 1780830128000 1803957792000 1852063333120 1877091216000 1984353571200 2104617424000 2136996153600 2170386718500 2315079166400 2480441964000 2525540908800 2671245192000 2778094999680 2834790816000 2893848958000 3156926136000 3307255952000 3472618749600 3561660256000 3754182432000 3968707142400 4209234848000 4340773437000 4630158332800 4960883928000 5342490384000 5556189999360 5787697916000 6313852272000 6614511904000 6945237499200 8681546874000 9260316665600 9921767856000 10684980768000 11575395832000 12627704544000 13890474998400 17363093748000 19843535712000 23150791664000 27780949996800 34726187496000 46301583328000 69452374992000 138904749984000
- Sum of all divisors σ(n): 647683832001024
- Sum of proper divisors (its aliquot sum) s(n): 508779082017024
- 138904749984000 is an abundant number, because the sum of its proper divisors (508779082017024) is greater than itself. Its abundance is 369874332033024
Bases of 138904749984000
- Binary: 111111001010101010010000100011111001001000000002
- Hexadecimal: 0x7E554847C900
- Base-36: 1D8JYLQ51C
Squares and roots of 138904749984000
- 138904749984000 squared (1389047499840002) is 19294529568117548000256000000
- 138904749984000 cubed (1389047499840003) is 2680101805718263502498678847995904000000000
-
The
square root of 138904749984000 is 11785785.9298393843 -
The
cube root of 138904749984000 is 51789.1797219383
Scales and comparisons
How big is 138904749984000?- 138,904,749,984,000 seconds is equal to 4,416,741 years, 20 weeks, 1 day, 13 hours, 20 minutes.
-
To count from 1 to 138,904,749,984,000 would take you about eleven million, forty-one thousand, eight hundred fifty-three 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 138904749984000 cubic inches would be around 4315.8 feet tall.
Recreational maths with 138904749984000
- 138904749984000 backwards is 000489947409831
- 138904749984000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138904749984000's digits is 66
- More coming soon!
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MLA style:
"Number 138904749984000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 138904749984000 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/138904749984000/
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The information we have on file for 138904749984000 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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