138948784128000
138,948,784,128,000 is an even composite number composed of six prime numbers multiplied together.
138948784128000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six thousand, one hundred forty-four divisors.
Prime factorization of 138948784128000:
215 × 35 × 53 × 73 × 11 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 11 × 37)See below for interesting mathematical facts about the number 138948784128000 from the Numbermatics database.
Names of 138948784128000
- Cardinal: 138948784128000 can be written as One hundred thirty-eight trillion, nine hundred forty-eight billion, seven hundred eighty-four million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.38948784128 × 1014
Factors of 138948784128000
Divisors of 138948784128000
- Number of divisors d(n): 6144
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 27 28 30 32 33 35 36 37 40 42 44 45 48 49 50 54 55 56 60 63 64 66 70 72 74 75 77 80 81 84 88 90 96 98 99 100 105 108 110 111 112 120 125 126 128 132 135 140 144 147 148 150 154 160 162 165 168 175 176 180 185 189 192 196 198 200 210 216 220 222 224 225 231 240 243 245 250 252 256 259 264 270 275 280 288 294 296 297 300 308 315 320 324 330 333 336 343 350 352 360 370 375 378 384 385 392 396 400 405 407 420 432 440 441 444 448 450 462 480 486 490 495 500 504 512 518 525 528 539 540 550 555 560 567 576 588 592 594 600 616 630 640 648 660 666 672 675 686 693 700 704 720 735 740 750 756 768 770 777 784 792 800 810 814 825 840 864 875 880 882 888 891 896 900 924 925 945 960 972 980 990 999 1000 1008 1024 1029 1036 1050 1056 1078 1080 1100 1110 1120 1125 1134 1152 1155 1176 1184 1188 1200 1215 1221 1225 1232 1260 1280 1295 1296 1320 1323 1332 1344 1350 1372 1375 1386 1400 1408 1440 1470 1480 1485 1500 1512 1536 1540 1554 1568 1575 1584 1600 1617 1620 1628 1650 1665 1680 1701 1715 1728 1750 1760 1764 1776 1782 1792 1800 1813 1848 1850 1890 1920 1925 1944 1960 1980 1998 2000 2016 2025 2035 2048 2058 2072 2079 2100 2112 2156 2160 2200 2205 2220 2240 2250 2268 2304 2310 2331 2352 2368 2376 2400 2430 2442 2450 2464 2475 2520 2560 2590 2592 2625 2640 2646 2664 2673 2688 2695 2700 2744 2750 2772 2775 2800 2816 2835 2849 2880 2940 2960 2970 2997 3000 3024 3072 3080 3087 3108 3136 3150 3168 3200 3234 3240 3256 3300 3330 3360 3375 3402 3430 3456 3465 3500 3520 3528 3552 3564 3584 3600 3626 3663 3675 3696 3700 3773 3780 3840 3850 3885 3888 3920 3960 3969 3996 4000 4032 4050 4070 4096 4116 4125 4144 4158 4200 4224 4312 4320 4400 4410 4440 4455 4480 4500 4536 4608 4620 4625 4662 4704 4725 4736 4752 4800 4851 4860 4884 4900 4928 4950 4995 5040 5120 5145 5180 5184 5250 5280 5292 5328 5346 5376 5390 5400 5439 5488 5500 5544 5550 5600 5632 5670 5698 5760 5775 5880 5920 5940 5994 6000 6048 6075 6105 6125 6144 6160 6174 6216 6237 6272 6300 6336 6400 6468 6475 6480 6512 6600 6615 6660 6720 6750 6804 6860 6912 6930 6993 7000 7040 7056 7104 7128 7168 7200 7252 7326 7350 7392 7400 7425 7546 7560 7680 7700 7770 7776 7840 7875 7920 7938 7992 8000 8064 8085 8100 8140 8192 8232 8250 8288 8316 8325 8400 8448 8505 8547 8575 8624 8640 8800 8820 8880 8910 8960 8991 9000 9065 9072 9216 9240 9250 9261 9324 9408 9450 9472 9504 9600 9625 9702 9720 9768 9800 9856 9900 9990 10080 10125 10175 10240 10290 10360 10368 10395 10500 10560 10584 10656 10692 10752 10780 10800 10878 10976 10989 11000 11025 11088 11100 11200 11264 11319 11340 11396 11520 11550 11655 11760 11840 11880 11907 11988 12000 12096 12150 12210 12250 12288 12320 12348 12375 12432 12474 12544 12600 12672 12691 12800 12936 12950 12960 13024 13200 13230 13320 13365 13440 13475 13500 13608 13720 13824 13860 13875 13986 14000 14080 14112 14175 14208 14245 14256 14336 14400 14504 14553 14652 14700 14784 14800 14850 14985 15092 15120 15360 15400 15435 15540 15552 15680 15750 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31752 31968 32000 32256 32340 32375 32400 32560 32634 32768 32928 32967 33000 33075 33152 33264 33300 33600 33792 33957 34020 34188 34300 34496 34560 34650 34965 35200 35280 35520 35640 35840 35964 36000 36260 36288 36630 36750 36864 36960 37000 37044 37125 37296 37422 37632 37730 37800 37888 38016 38073 38400 38500 38808 38850 38880 39072 39200 39424 39600 39690 39886 39960 40320 40425 40500 40700 40960 41160 41440 41472 41580 41625 41958 42000 42240 42336 42525 42624 42735 42768 42875 43008 43120 43200 43512 43659 43904 43956 44000 44100 44352 44400 44550 44800 44955 45056 45276 45325 45360 45584 46080 46200 46305 46620 47040 47250 47360 47520 47628 47952 48000 48384 48510 48600 48840 48951 49000 49152 49280 49392 49500 49728 49896 49950 50176 50400 50688 50764 50875 51200 51282 51450 51744 51800 51840 51975 52096 52800 52920 53280 53460 53760 53900 54000 54390 54432 54880 54945 55125 55296 55440 55500 55566 55944 56000 56320 56448 56595 56700 56832 56980 57024 57344 57600 57750 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1715417088000 1736859801600 1804529664000 1852650455040 1877686272000 1929844224000 1984982630400 2105284608000 2171074752000 2205536256000 2315813068800 2481228288000 2526341529600 2573125632000 2778975682560 2835689472000 2894766336000 3087750758400 3157926912000 3308304384000 3473719603200 3755372544000 3859688448000 3969965260800 4210569216000 4342149504000 4631626137600 4962456576000 5146251264000 5557951365120 5789532672000 6315853824000 6616608768000 6947439206400 7719376896000 8684299008000 9263252275200 9924913152000 11579065344000 12631707648000 13894878412800 15438753792000 17368598016000 19849826304000 23158130688000 27789756825600 34737196032000 46316261376000 69474392064000 138948784128000
- Sum of all divisors σ(n): 678772313856000
- Sum of proper divisors (its aliquot sum) s(n): 539823529728000
- 138948784128000 is an abundant number, because the sum of its proper divisors (539823529728000) is greater than itself. Its abundance is 400874745600000
Bases of 138948784128000
- Binary: 111111001011111100010001110101110000000000000002
- Hexadecimal: 0x7E5F88EB8000
- Base-36: 1D946UIO00
Squares and roots of 138948784128000
- 138948784128000 squared (1389487841280002) is 19306764610649544720384000000
- 138948784128000 cubed (1389487841280003) is 2682651468095253559214118537265152000000000
-
The
square root of 138948784128000 is 11787653.8856551095 -
The
cube root of 138948784128000 is 51794.6517000647
Scales and comparisons
How big is 138948784128000?- 138,948,784,128,000 seconds is equal to 4,418,141 years, 28 weeks.
-
To count from 1 to 138,948,784,128,000 would take you about eleven million, forty-five thousand, three 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 138948784128000 cubic inches would be around 4316.2 feet tall.
Recreational maths with 138948784128000
- 138948784128000 backwards is 000821487849831
- 138948784128000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138948784128000's digits is 63
- More coming soon!
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"Number 138948784128000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 May 2024.
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Numbermatics. (2024). Number 138948784128000 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/138948784128000/
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The information we have on file for 138948784128000 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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