138372942048000
138,372,942,048,000 is an even composite number composed of five prime numbers multiplied together.
138372942048000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 138372942048000:
28 × 3 × 53 × 11 × 131034983
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 131034983)See below for interesting mathematical facts about the number 138372942048000 from the Numbermatics database.
Names of 138372942048000
- Cardinal: 138372942048000 can be written as One hundred thirty-eight trillion, three hundred seventy-two billion, nine hundred forty-two million, forty-eight thousand.
Scientific notation
- Scientific notation: 1.38372942048 × 1014
Factors of 138372942048000
Divisors of 138372942048000
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 64 66 75 80 88 96 100 110 120 125 128 132 150 160 165 176 192 200 220 240 250 256 264 275 300 320 330 352 375 384 400 440 480 500 528 550 600 640 660 704 750 768 800 825 880 960 1000 1056 1100 1200 1280 1320 1375 1408 1500 1600 1650 1760 1920 2000 2112 2200 2400 2640 2750 2816 3000 3200 3300 3520 3840 4000 4125 4224 4400 4800 5280 5500 6000 6400 6600 7040 8000 8250 8448 8800 9600 10560 11000 12000 13200 14080 16000 16500 17600 19200 21120 22000 24000 26400 32000 33000 35200 42240 44000 48000 52800 66000 70400 88000 96000 105600 132000 176000 211200 264000 352000 528000 1056000 131034983 262069966 393104949 524139932 655174915 786209898 1048279864 1310349830 1441384813 1572419796 1965524745 2096559728 2620699660 2882769626 3144839592 3275874575 3931049490 4193119456 4324154439 5241399320 5765539252 6289679184 6551749150 7206924065 7862098980 8386238912 8648308878 9827623725 10482798640 11531078504 12579358368 13103498300 14413848130 15724197960 16379372875 16772477824 17296617756 19655247450 20965597280 21620772195 23062157008 25158716736 26206996600 28827696260 31448395920 32758745750 33544955648 34593235512 36034620325 39310494900 41931194560 43241544390 46124314016 49138118625 50317433472 52413993200 57655392520 62896791840 65517491500 69186471024 72069240650 78620989800 83862389120 86483088780 92248628032 98276237250 100634866944 104827986400 108103860975 115310785040 125793583680 131034983000 138372942048 144138481300 157241979600 167724778240 172966177560 180173101625 184497256064 196552474500 209655972800 216207721950 230621570080 251587167360 262069966000 276745884096 288276962600 314483959200 345932355120 360346203250 368994512128 393104949000 419311945600 432415443900 461243140160 503174334720 524139932000 540519304875 553491768192 576553925200 628967918400 691864710240 720692406500 786209898000 838623891200 864830887800 922486280320 1048279864000 1081038609750 1106983536384 1153107850400 1257935836800 1383729420480 1441384813000 1572419796000 1729661775600 1844972560640 2096559728000 2162077219500 2306215700800 2515871673600 2767458840960 2882769626000 3144839592000 3459323551200 4193119456000 4324154439000 4612431401600 5534917681920 5765539252000 6289679184000 6918647102400 8648308878000 9224862803200 11531078504000 12579358368000 13837294204800 17296617756000 23062157008000 27674588409600 34593235512000 46124314016000 69186471024000 138372942048000
- Sum of all divisors σ(n): 501388069658112
- Sum of proper divisors (its aliquot sum) s(n): 363015127610112
- 138372942048000 is an abundant number, because the sum of its proper divisors (363015127610112) is greater than itself. Its abundance is 224642185562112
Bases of 138372942048000
- Binary: 111110111011001011101100000111010101011000000002
- Hexadecimal: 0x7DD9760EAB00
- Base-36: 1D1RNH0FEO
Squares and roots of 138372942048000
- 138372942048000 squared (1383729420480002) is 19147071091019166434304000000
- 138372942048000 cubed (1383729420480003) is 2649436558466531250271214191214592000000000
-
The
square root of 138372942048000 is 11763202.8822085697 -
The
cube root of 138372942048000 is 51723.0021901765
Scales and comparisons
How big is 138372942048000?- 138,372,942,048,000 seconds is equal to 4,399,831 years, 28 weeks, 1 day, 2 hours, 40 minutes.
-
To count from 1 to 138,372,942,048,000 would take you about ten million, nine hundred ninety-nine thousand, five hundred seventy-eight 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 138372942048000 cubic inches would be around 4310.3 feet tall.
Recreational maths with 138372942048000
- 138372942048000 backwards is 000840249273831
- The number of decimal digits it has is: 15
- The sum of 138372942048000's digits is 51
- More coming soon!
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