137192048400000
137,192,048,400,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137192048400000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1536 divisors.
137192048400000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 137192048400000:
27 × 3 × 55 × 11 × 37 × 257 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 5 × 11 × 37 × 257 × 1093)See below for interesting mathematical facts about the number 137192048400000 from the Numbermatics database.
Names of 137192048400000
- Cardinal: 137192048400000 can be written as One hundred thirty-seven trillion, one hundred ninety-two billion, forty-eight million, four hundred thousand.
Scientific notation
- Scientific notation: 1.371920484 × 1014
Factors of 137192048400000
Divisors of 137192048400000
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 37 40 44 48 50 55 60 64 66 74 75 80 88 96 100 110 111 120 125 128 132 148 150 160 165 176 185 192 200 220 222 240 250 257 264 275 296 300 320 330 352 370 375 384 400 407 440 444 480 500 514 528 550 555 592 600 625 640 660 704 740 750 771 800 814 825 880 888 925 960 1000 1028 1056 1093 1100 1110 1184 1200 1221 1250 1285 1320 1375 1408 1480 1500 1542 1600 1628 1650 1760 1776 1850 1875 1920 2000 2035 2056 2112 2186 2200 2220 2368 2400 2442 2500 2570 2640 2750 2775 2827 2960 3000 3084 3125 3200 3256 3279 3300 3520 3552 3700 3750 3855 4000 4070 4112 4125 4224 4372 4400 4440 4625 4736 4800 4884 5000 5140 5280 5465 5500 5550 5654 5920 6000 6105 6168 6250 6425 6512 6558 6600 6875 7040 7104 7400 7500 7710 8000 8140 8224 8250 8481 8744 8800 8880 9250 9375 9509 9600 9768 10000 10175 10280 10560 10930 11000 11100 11308 11840 12000 12023 12210 12336 12500 12850 13024 13116 13200 13750 13875 14135 14208 14800 15000 15420 16000 16280 16395 16448 16500 16962 17488 17600 17760 18500 18750 19018 19275 19536 20000 20350 20560 20625 21120 21860 22000 22200 22616 23125 23680 24000 24046 24420 24672 25000 25700 26048 26232 26400 27325 27500 27750 28270 28527 29600 30000 30525 30840 32125 32560 32790 32896 33000 33924 34375 34976 35200 35520 36069 37000 37500 38036 38550 39072 40000 40441 40700 41120 41250 42405 43720 44000 44400 45232 46250 47545 48000 48092 48840 49344 50000 50875 51400 52096 52464 52800 54650 55000 55500 56540 57054 59200 60000 60115 61050 61680 64250 65120 65580 66000 67848 68750 69375 69952 70675 71040 72138 74000 75000 76072 77100 78144 80000 80882 81400 81975 82240 82500 84810 87440 88000 88800 90464 92500 95090 96184 96375 97680 98688 100000 101750 102800 103125 104599 104928 105600 109300 110000 111000 113080 114108 115625 118400 120000 120230 121323 122100 123360 128500 130240 131160 132000 135696 136625 137500 138750 139904 141350 142635 144276 148000 150000 152144 152625 154200 156288 160625 161764 162800 163950 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6859602420000 8574503025000 9146136560000 11432670700000 12472004400000 13719204840000 17149006050000 22865341400000 27438409680000 34298012100000 45730682800000 68596024200000 137192048400000
- Sum of all divisors σ(n): 512783782237440
- Sum of proper divisors (its aliquot sum) s(n): 375591733837440
- 137192048400000 is an abundant number, because the sum of its proper divisors (375591733837440) is greater than itself. Its abundance is 238399685437440
Bases of 137192048400000
- Binary: 111110011000110100000110100111110010110100000002
- Hexadecimal: 0x7CC6834F9680
- Base-36: 1CMP5NF91C
Squares and roots of 137192048400000
- 137192048400000 squared (1371920484000002) is 18821658144187942560000000000
- 137192048400000 cubed (1371920484000003) is 2582181835085686394387939904000000000000000
-
The
square root of 137192048400000 is 11712900.9387085655 -
The
cube root of 137192048400000 is 51575.4445690333
Scales and comparisons
How big is 137192048400000?- 137,192,048,400,000 seconds is equal to 4,362,282 years, 40 weeks, 2 days, 13 hours, 20 minutes.
-
To count from 1 to 137,192,048,400,000 would take you about ten million, nine hundred five thousand, seven hundred six 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 137192048400000 cubic inches would be around 4298 feet tall.
Recreational maths with 137192048400000
- 137192048400000 backwards is 000004840291731
- The number of decimal digits it has is: 15
- The sum of 137192048400000's digits is 39
- More coming soon!
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The information we have on file for 137192048400000 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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