138148800000
138,148,800,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138148800000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 480 divisors.
138148800000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138148800000:
29 × 3 × 55 × 17 × 1693
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 5 × 17 × 1693)See below for interesting mathematical facts about the number 138148800000 from the Numbermatics database.
Names of 138148800000
- Cardinal: 138148800000 can be written as One hundred thirty-eight billion, one hundred forty-eight million, eight hundred thousand.
Scientific notation
- Scientific notation: 1.381488 × 1011
Factors of 138148800000
Divisors of 138148800000
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 60 64 68 75 80 85 96 100 102 120 125 128 136 150 160 170 192 200 204 240 250 255 256 272 300 320 340 375 384 400 408 425 480 500 510 512 544 600 625 640 680 750 768 800 816 850 960 1000 1020 1088 1200 1250 1275 1280 1360 1500 1536 1600 1632 1693 1700 1875 1920 2000 2040 2125 2176 2400 2500 2550 2560 2720 3000 3125 3200 3264 3386 3400 3750 3840 4000 4080 4250 4352 4800 5000 5079 5100 5440 6000 6250 6375 6400 6528 6772 6800 7500 7680 8000 8160 8465 8500 8704 9375 9600 10000 10158 10200 10625 10880 12000 12500 12750 12800 13056 13544 13600 15000 16000 16320 16930 17000 18750 19200 20000 20316 20400 21250 21760 24000 25000 25395 25500 26112 27088 27200 28781 30000 31875 32000 32640 33860 34000 37500 38400 40000 40632 40800 42325 42500 43520 48000 50000 50790 51000 53125 54176 54400 57562 60000 63750 64000 65280 67720 68000 75000 80000 81264 81600 84650 85000 86343 96000 100000 101580 102000 106250 108352 108800 115124 120000 126975 127500 130560 135440 136000 143905 150000 159375 160000 162528 163200 169300 170000 172686 192000 200000 203160 204000 211625 212500 216704 217600 230248 240000 253950 255000 270880 272000 287810 300000 318750 320000 325056 326400 338600 340000 345372 400000 406320 408000 423250 425000 431715 433408 460496 480000 507900 510000 541760 544000 575620 600000 634875 637500 650112 652800 677200 680000 690744 719525 800000 812640 816000 846500 850000 863430 866816 920992 960000 1015800 1020000 1058125 1083520 1088000 1151240 1200000 1269750 1275000 1300224 1354400 1360000 1381488 1439050 1600000 1625280 1632000 1693000 1700000 1726860 1841984 2031600 2040000 2116250 2158575 2167040 2302480 2400000 2539500 2550000 2600448 2708800 2720000 2762976 2878100 3174375 3250560 3264000 3386000 3400000 3453720 3597625 3683968 4063200 4080000 4232500 4317150 4334080 4604960 4800000 5079000 5100000 5290625 5417600 5440000 5525952 5756200 6348750 6501120 6772000 6800000 6907440 7195250 7367936 8126400 8160000 8465000 8634300 9209920 10158000 10200000 10581250 10792875 10835200 11051904 11512400 12697500 13002240 13544000 13600000 13814880 14390500 14735872 15871875 16252800 16320000 16930000 17268600 17988125 18419840 20316000 20400000 21162500 21585750 21670400 22103808 23024800 25395000 27088000 27200000 27629760 28781000 31743750 32505600 33860000 34537200 35976250 36839680 40632000 40800000 42325000 43171500 44207616 46049600 50790000 53964375 54176000 55259520 57562000 63487500 65011200 67720000 69074400 71952500 73679360 81264000 81600000 84650000 86343000 89940625 92099200 101580000 107928750 108352000 110519040 115124000 126975000 135440000 138148800 143905000 162528000 169300000 172686000 179881250 184198400 203160000 215857500 221038080 230248000 253950000 269821875 270880000 276297600 287810000 325056000 338600000 345372000 359762500 368396800 406320000 431715000 460496000 507900000 539643750 541760000 552595200 575620000 677200000 690744000 719525000 812640000 863430000 920992000 1015800000 1079287500 1105190400 1151240000 1354400000 1381488000 1439050000 1625280000 1726860000 1841984000 2031600000 2158575000 2302480000 2708800000 2762976000 2878100000 3453720000 4063200000 4317150000 4604960000 5525952000 5756200000 6907440000 8126400000 8634300000 9209920000 11512400000 13814880000 17268600000 23024800000 27629760000 34537200000 46049600000 69074400000 138148800000
- Sum of all divisors σ(n): 487364369184
- Sum of proper divisors (its aliquot sum) s(n): 349215569184
- 138148800000 is an abundant number, because the sum of its proper divisors (349215569184) is greater than itself. Its abundance is 211066769184
Bases of 138148800000
- Binary: 100000001010100100111101100110000000002
- Hexadecimal: 0x202A4F6600
- Base-36: 1RGQ88AO
Squares and roots of 138148800000
- 138148800000 squared (1381488000002) is 19085090941440000000000
- 138148800000 cubed (1381488000003) is 2636582411450806272000000000000000
-
The
square root of 138148800000 is 371683.7365287859 -
The
cube root of 138148800000 is 5169.5059431833
Scales and comparisons
How big is 138148800000?- 138,148,800,000 seconds is equal to 4,392 years, 36 weeks, 4 days, 10 hours, 40 minutes.
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To count from 1 to 138,148,800,000 would take you about eight thousand, seven hundred eighty-five 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 138148800000 cubic inches would be around 430.8 feet tall.
Recreational maths with 138148800000
- 138148800000 backwards is 000008841831
- The number of decimal digits it has is: 12
- The sum of 138148800000's digits is 33
- More coming soon!
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The information we have on file for 138148800000 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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