138083277498400000
138,083,277,498,400,000 is an even composite number composed of six prime numbers multiplied together.
138083277498400000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, nine hundred sixteen divisors.
Prime factorization of 138083277498400000:
28 × 55 × 132 × 17 × 232 × 3372
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 5 × 13 × 13 × 17 × 23 × 23 × 337 × 337)See below for interesting mathematical facts about the number 138083277498400000 from the Numbermatics database.
Names of 138083277498400000
- Cardinal: 138083277498400000 can be written as One hundred thirty-eight quadrillion, eighty-three trillion, two hundred seventy-seven billion, four hundred ninety-eight million, four hundred thousand.
Scientific notation
- Scientific notation: 1.380832774984 × 1017
Factors of 138083277498400000
Divisors of 138083277498400000
- Number of divisors d(n): 2916
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 23 25 26 32 34 40 46 50 52 64 65 68 80 85 92 100 104 115 125 128 130 136 160 169 170 184 200 208 221 230 250 256 260 272 299 320 325 337 338 340 368 391 400 416 425 442 460 500 520 529 544 575 598 625 640 650 674 676 680 736 782 800 832 845 850 884 920 1000 1040 1058 1088 1105 1150 1196 1250 1280 1300 1348 1352 1360 1472 1495 1564 1600 1625 1664 1685 1690 1700 1768 1840 1955 2000 2080 2116 2125 2176 2210 2300 2392 2500 2600 2645 2696 2704 2720 2873 2875 2944 2990 3125 3128 3200 3250 3328 3370 3380 3400 3536 3680 3887 3910 4000 4160 4225 4232 4250 4352 4381 4420 4600 4784 5000 5083 5200 5290 5392 5408 5440 5525 5729 5746 5750 5888 5980 6250 6256 6400 6500 6740 6760 6800 6877 7072 7360 7475 7751 7774 7820 8000 8125 8320 8425 8450 8464 8500 8762 8840 8993 9200 9568 9775 10000 10166 10400 10580 10625 10784 10816 10880 11050 11458 11492 11500 11960 12500 12512 13000 13225 13480 13520 13600 13754 14144 14365 14375 14720 14950 15502 15548 15640 16000 16250 16640 16850 16900 16928 17000 17524 17680 17986 18400 19136 19435 19550 20000 20332 20800 21125 21160 21250 21568 21632 21760 21905 22100 22916 22984 23000 23920 25000 25024 25415 26000 26450 26960 27040 27200 27508 27625 28288 28645 28730 28750 29440 29900 31004 31096 31280 32000 32500 33700 33800 33856 34000 34385 35048 35360 35972 36800 37375 38272 38755 38870 39100 40000 40625 40664 41600 42125 42250 42320 42500 43136 43264 43810 44200 44965 45832 45968 46000 47840 48875 50000 50048 50830 52000 52900 53125 53920 54080 54400 55016 55250 56576 56953 57290 57460 57500 59800 62008 62192 62560 65000 66079 66125 67400 67600 67712 68000 68770 70096 70720 71825 71875 71944 73600 74477 74750 76544 77510 77740 78200 80000 81250 81328 83200 84250 84500 84640 85000 86272 87620 88400 89401 89930 91664 91936 92000 95680 97175 97750 100000 100096 100763 101660 104000 105625 105800 106250 107840 108160 108800 109525 110032 110500 113569 113906 114580 114920 115000 116909 119600 124016 124384 125120 127075 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106217905768000 107877560545625 110466621998720 115454245400000 120072415216000 124962242080000 126914777112500 130513494800000 132772382210000 138083277498400 150090519020000 156202802600000 162450914704000 163412162720000 165965477762500 172604096873000 176577081200000 187613148775000 203063643380000 204265203400000 204871331600000 212435811536000 215755121091250 220933243997440 230908490800000 240144830432000 253829554225000 261026989600000 265544764420000 276166554996800 300181038040000 312405605200000 324901829408000 331930955525000 345208193746000 353154162400000 375226297550000 406127286760000 408530406800000 409742663200000 424871623072000 431510242182500 461816981600000 507659108450000 531089528840000 539387802728125 552333109993600 600362076080000 624811210400000 663861911050000 690416387492000 750452595100000 812254573520000 817060813600000 863020484365000 1015318216900000 1062179057680000 1078775605456250 1104666219987200 1200724152160000 1327723822100000 1380832774984000 1500905190200000 1624509147040000 1726040968730000 2030636433800000 2124358115360000 2157551210912500 2655447644200000 2761665549968000 3001810380400000 3452081937460000 4061272867600000 4315102421825000 5310895288400000 5523331099936000 6003620760800000 6904163874920000 8122545735200000 8630204843650000 10621790576800000 13808327749840000 17260409687300000 27616655499680000 34520819374600000 69041638749200000 138083277498400000
- Sum of all divisors σ(n): 414144863292514284
- Sum of proper divisors (its aliquot sum) s(n): 276061585794114284
- 138083277498400000 is an abundant number, because the sum of its proper divisors (276061585794114284) is greater than itself. Its abundance is 137978308295714284
Bases of 138083277498400000
- Binary: 1111010101001001000000010011000001011011010111101000000002
- Hexadecimal: 0x1EA920260B6BD00
- Base-36: 11RMFPYHZ1TS
Squares and roots of 138083277498400000
- 138083277498400000 squared (1380832774984000002) is 19066991524700139762002560000000000
- 138083277498400000 cubed (1380832774984000003) is 2632832681764810316605863224571195904000000000000000
-
The
square root of 138083277498400000 is 371595583.2600812817 -
The
cube root of 138083277498400000 is 516868.8533439035
Scales and comparisons
How big is 138083277498400000?- 138,083,277,498,400,000 seconds is equal to 4,390,621,104 years, 43 weeks, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 138,083,277,498,400,000 would take you about thirteen billion, one hundred seventy-one million, eight hundred sixty-three thousand, three hundred fourteen 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 138083277498400000 cubic inches would be around 43072.4 feet tall.
Recreational maths with 138083277498400000
- 138083277498400000 backwards is 000004894772380831
- 138083277498400000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138083277498400000's digits is 64
- More coming soon!
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"Number 138083277498400000 - Facts about the integer". Numbermatics.com. 2024. Web. 20 September 2024.
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Numbermatics. (2024). Number 138083277498400000 - Facts about the integer. Retrieved 20 September 2024, from https://numbermatics.com/n/138083277498400000/
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The information we have on file for 138083277498400000 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!
Keywords: Divisors of 138083277498400000, math, Factors of 138083277498400000, curriculum, school, college, exams, university, Prime factorization of 138083277498400000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, eighty-three trillion, two hundred seventy-seven billion, four hundred ninety-eight million, four hundred thousand.