138938474752000
138,938,474,752,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138938474752000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2304 divisors.
138938474752000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138938474752000:
211 × 53 × 7 × 11 × 172 × 293
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 11 × 17 × 17 × 29 × 29 × 29)See below for interesting mathematical facts about the number 138938474752000 from the Numbermatics database.
Names of 138938474752000
- Cardinal: 138938474752000 can be written as One hundred thirty-eight trillion, nine hundred thirty-eight billion, four hundred seventy-four million, seven hundred fifty-two thousand.
Scientific notation
- Scientific notation: 1.38938474752 × 1014
Factors of 138938474752000
Divisors of 138938474752000
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 17 20 22 25 28 29 32 34 35 40 44 50 55 56 58 64 68 70 77 80 85 88 100 110 112 116 119 125 128 136 140 145 154 160 170 175 176 187 200 203 220 224 232 238 250 256 272 275 280 289 290 308 319 320 340 350 352 374 385 400 406 425 440 448 464 476 493 500 512 544 550 560 578 580 595 616 638 640 680 700 704 725 748 770 800 812 841 850 875 880 896 928 935 952 986 1000 1015 1024 1088 1100 1120 1156 1160 1190 1232 1276 1280 1309 1360 1375 1400 1408 1445 1450 1496 1540 1595 1600 1624 1682 1700 1750 1760 1792 1856 1870 1904 1925 1972 2000 2023 2030 2048 2125 2176 2200 2233 2240 2312 2320 2380 2464 2465 2552 2560 2618 2720 2750 2800 2816 2890 2900 2975 2992 3080 3179 3190 3200 3248 3364 3400 3451 3500 3520 3584 3625 3712 3740 3808 3850 3944 4000 4046 4060 4205 4250 4352 4400 4466 4480 4624 4640 4675 4760 4928 4930 5075 5104 5120 5236 5423 5440 5500 5600 5632 5780 5800 5887 5950 5984 6160 6358 6380 6400 6496 6545 6728 6800 6902 7000 7040 7168 7225 7250 7424 7480 7616 7700 7888 7975 8000 8092 8120 8381 8410 8500 8704 8800 8932 8960 9248 9251 9280 9350 9520 9625 9856 9860 10115 10150 10208 10240 10472 10846 10880 11000 11165 11200 11264 11560 11600 11774 11900 11968 12320 12325 12716 12760 12800 12992 13090 13456 13600 13804 14000 14080 14297 14336 14450 14500 14848 14875 14960 15232 15400 15776 15895 15950 16000 16184 16240 16762 16820 17000 17255 17408 17600 17864 17920 18496 18502 18560 18700 19040 19250 19712 19720 20230 20300 20416 20944 21025 21692 21760 22000 22253 22330 22400 22528 23120 23200 23375 23548 23800 23936 24389 24640 24650 25375 25432 25520 25600 25984 26180 26912 27115 27200 27608 28000 28160 28594 28900 29000 29435 29696 29750 29920 30464 30800 31552 31790 31900 32000 32368 32480 32725 33524 33640 34000 34510 34816 35200 35728 35840 36125 36992 37004 37120 37400 37961 38080 38500 39424 39440 39875 40460 40600 40832 41888 41905 42050 43384 43520 44000 44506 44660 44800 46240 46255 46400 46750 47096 47600 47872 48778 49280 49300 50575 50750 50864 51040 51200 51968 52360 53824 54230 54400 55216 55825 56000 56320 57188 57800 58000 58667 58870 59392 59500 59840 60928 61600 61625 63104 63580 63800 64000 64736 64757 64960 65450 67048 67280 68000 69020 70400 71456 71485 71680 72250 73984 74008 74240 74800 75922 76160 77000 78848 78880 79475 79750 80920 81200 81664 83776 83810 84100 86275 86768 87040 88000 89012 89320 89600 92191 92480 92510 92800 93500 94192 95200 95744 97556 98560 98600 100079 101150 101500 101728 102080 103936 104720 105125 107648 108460 108800 110432 111265 111650 112000 112640 114376 115600 116000 117334 117740 119000 119680 121856 121945 123200 123250 126208 127160 127600 128000 129472 129514 129920 130900 134096 134560 135575 136000 138040 140800 142912 142970 144500 147175 147968 148016 148480 149600 151844 152320 154000 157267 157696 157760 158950 159500 161840 162400 163328 163625 167552 167620 168200 170723 172550 173536 174080 176000 178024 178640 179200 184382 184960 185020 185600 187000 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542728417000 555753899008 583775104000 598872736000 620261048000 631538521600 684425984000 694692373760 742986496000 789423152000 793934141440 817285145600 868365467200 902197888000 958196377600 992417676800 1021606432000 1085456834000 1111507798016 1167550208000 1197745472000 1240522096000 1263077043200 1389384747520 1578846304000 1634570291200 1736730934400 1804395776000 1984835353600 2043212864000 2170913668000 2395490944000 2481044192000 2526154086400 2778769495040 3157692608000 3473461868800 3969670707200 4086425728000 4341827336000 4790981888000 4962088384000 5557538990080 6315385216000 6946923737600 8172851456000 8683654672000 9924176768000 12630770432000 13893847475200 17367309344000 19848353536000 27787694950400 34734618688000 69469237376000 138938474752000
- Sum of all divisors σ(n): 475577674790400
- Sum of proper divisors (its aliquot sum) s(n): 336639200038400
- 138938474752000 is an abundant number, because the sum of its proper divisors (336639200038400) is greater than itself. Its abundance is 197700725286400
Bases of 138938474752000
- Binary: 111111001011101001000100110111011101000000000002
- Hexadecimal: 0x7E5D226EE800
- Base-36: 1D8ZGCKYKG
Squares and roots of 138938474752000
- 138938474752000 squared (1389384747520002) is 19303899766412141461504000000
- 138938474752000 cubed (1389384747520003) is 2682054390310792014075425883947008000000000
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The
square root of 138938474752000 is 11787216.5820434467 -
The
cube root of 138938474752000 is 51793.3706915039
Scales and comparisons
How big is 138938474752000?- 138,938,474,752,000 seconds is equal to 4,417,813 years, 38 weeks, 12 hours, 26 minutes, 40 seconds.
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To count from 1 to 138,938,474,752,000 would take you about eleven million, forty-four thousand, five hundred thirty-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 138938474752000 cubic inches would be around 4316.1 feet tall.
Recreational maths with 138938474752000
- 138938474752000 backwards is 000257474839831
- The number of decimal digits it has is: 15
- The sum of 138938474752000's digits is 61
- More coming soon!
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The information we have on file for 138938474752000 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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