138508624993088000000
138,508,624,993,088,000,000 is an even composite number composed of six prime numbers multiplied together.
138508624993088000000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight thousand, seven hundred thirty-six divisors.
Prime factorization of 138508624993088000000:
212 × 56 × 73 × 172 × 61 × 713
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 17 × 17 × 61 × 71 × 71 × 71)See below for interesting mathematical facts about the number 138508624993088000000 from the Numbermatics database.
Names of 138508624993088000000
- Cardinal: 138508624993088000000 can be written as One hundred thirty-eight quintillion, five hundred eight quadrillion, six hundred twenty-four trillion, nine hundred ninety-three billion, eighty-eight million.
Scientific notation
- Scientific notation: 1.38508624993088 × 1020
Factors of 138508624993088000000
Divisors of 138508624993088000000
- Number of divisors d(n): 8736
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 49 50 56 61 64 68 70 71 80 85 98 100 112 119 122 125 128 136 140 142 160 170 175 196 200 224 238 244 245 250 256 272 280 284 289 305 320 340 343 350 355 392 400 425 427 448 476 488 490 497 500 512 544 560 568 578 595 610 625 640 680 686 700 710 784 800 833 850 854 875 896 952 976 980 994 1000 1024 1037 1088 1120 1136 1156 1190 1207 1220 1225 1250 1280 1360 1372 1400 1420 1445 1525 1568 1600 1666 1700 1708 1715 1750 1775 1792 1904 1952 1960 1988 2000 2023 2048 2074 2125 2135 2176 2240 2272 2312 2380 2414 2440 2450 2485 2500 2560 2720 2744 2800 2840 2890 2975 2989 3050 3125 3136 3200 3332 3400 3416 3430 3479 3500 3550 3584 3808 3904 3920 3976 4000 4046 4096 4148 4165 4250 4270 4331 4352 4375 4480 4544 4624 4760 4828 4880 4900 4970 5000 5041 5120 5185 5440 5488 5600 5680 5780 5831 5950 5978 6035 6100 6125 6250 6272 6400 6664 6800 6832 6860 6958 7000 7100 7168 7225 7259 7616 7625 7808 7840 7952 8000 8092 8296 8330 8449 8500 8540 8575 8662 8704 8750 8875 8960 9088 9248 9520 9656 9760 9800 9940 10000 10082 10115 10240 10370 10625 10675 10880 10976 11200 11360 11560 11662 11900 11956 12070 12200 12250 12425 12500 12544 12800 13328 13600 13664 13720 13916 14000 14161 14200 14336 14450 14518 14875 14945 15232 15250 15616 15625 15680 15904 16000 16184 16592 16660 16898 17000 17080 17150 17324 17395 17408 17500 17629 17750 17920 18176 18496 19040 19312 19520 19600 19880 20000 20164 20230 20480 20519 20740 20825 20923 21250 21350 21655 21760 21875 21952 22400 22720 23120 23324 23800 23912 24140 24353 24400 24500 24850 25000 25088 25205 25600 25925 26656 27200 27328 27440 27832 28000 28322 28400 28672 28900 29036 29155 29750 29890 30175 30317 30464 30500 30625 31232 31250 31360 31808 32000 32368 33184 33320 33796 34000 34160 34300 34648 34790 34816 35000 35258 35287 35500 35840 36125 36295 36352 36992 38080 38125 38624 39040 39200 39760 40000 40328 40460 41038 41480 41650 41846 42245 42500 42700 42875 43310 43520 43750 43904 44375 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- Sum of all divisors σ(n): 442167481604539814400
- Sum of proper divisors (its aliquot sum) s(n): 303658856611451814400
- 138508624993088000000 is an abundant number, because the sum of its proper divisors (303658856611451814400) is greater than itself. Its abundance is 165150231618363814400
Bases of 138508624993088000000
- Binary: 11110000010001100010111110010010100110000001100110101010000000000002
- Hexadecimal: 0x782317C94C0CD5000
- Base-36: T8BNDSRTFZZ7K
Squares and roots of 138508624993088000000
- 138508624993088000000 squared (1385086249930880000002) is 19184639197475881768047775744000000000000
- 138508624993088000000 cubed (1385086249930880000003) is 2657237996230883628221913057829045774057472000000000000000000
-
The
square root of 138508624993088000000 is 11768968731.0778424041 -
The
cube root of 138508624993088000000 is 5173990.2499774057
Scales and comparisons
How big is 138508624993088000000?- 138,508,624,993,088,000,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 138,508,624,993,088,000,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 138508624993088000000 cubic inches would be around 431165.9 feet tall.
Recreational maths with 138508624993088000000
- 138508624993088000000 backwards is 000000880399426805831
- The number of decimal digits it has is: 21
- The sum of 138508624993088000000's digits is 74
- More coming soon!
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The information we have on file for 138508624993088000000 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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