137709005414400000
137,709,005,414,400,000 is an even composite number composed of six prime numbers multiplied together.
137709005414400000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine thousand, one hundred eighty divisors.
Prime factorization of 137709005414400000:
216 × 32 × 55 × 74 × 292 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 29 × 29 × 37)See below for interesting mathematical facts about the number 137709005414400000 from the Numbermatics database.
Names of 137709005414400000
- Cardinal: 137709005414400000 can be written as One hundred thirty-seven quadrillion, seven hundred nine trillion, five billion, four hundred fourteen million, four hundred thousand.
Scientific notation
- Scientific notation: 1.377090054144 × 1017
Factors of 137709005414400000
Divisors of 137709005414400000
- Number of divisors d(n): 9180
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 29 30 32 35 36 37 40 42 45 48 49 50 56 58 60 63 64 70 72 74 75 80 84 87 90 96 98 100 105 111 112 116 120 125 126 128 140 144 145 147 148 150 160 168 174 175 180 185 192 196 200 203 210 222 224 225 232 240 245 250 252 256 259 261 280 288 290 294 296 300 315 320 333 336 343 348 350 360 370 375 384 392 400 406 420 435 441 444 448 450 464 480 490 500 504 512 518 522 525 555 560 576 580 588 592 600 609 625 630 640 666 672 686 696 700 720 725 735 740 750 768 777 784 800 812 840 841 870 875 882 888 896 900 925 928 960 980 1000 1008 1015 1024 1029 1036 1044 1050 1073 1110 1120 1125 1152 1160 1176 1184 1200 1218 1225 1250 1260 1280 1295 1305 1332 1344 1372 1392 1400 1421 1440 1450 1470 1480 1500 1536 1554 1568 1575 1600 1624 1665 1680 1682 1715 1740 1750 1764 1776 1792 1800 1813 1827 1850 1856 1875 1920 1960 2000 2016 2030 2048 2058 2072 2088 2100 2146 2175 2205 2220 2240 2250 2304 2320 2331 2352 2368 2400 2401 2436 2450 2500 2520 2523 2560 2590 2610 2625 2664 2688 2744 2775 2784 2800 2842 2880 2900 2940 2960 3000 3045 3072 3087 3108 3125 3136 3150 3200 3219 3248 3330 3360 3364 3430 3480 3500 3528 3552 3584 3600 3625 3626 3654 3675 3700 3712 3750 3840 3885 3920 4000 4032 4060 4096 4116 4144 4176 4200 4205 4263 4292 4350 4375 4410 4440 4480 4500 4608 4625 4640 4662 4704 4736 4800 4802 4872 4900 5000 5040 5046 5075 5120 5145 5180 5220 5250 5328 5365 5376 5439 5488 5550 5568 5600 5625 5684 5760 5800 5880 5887 5920 6000 6090 6125 6144 6174 6216 6250 6272 6300 6400 6438 6475 6496 6525 6660 6720 6728 6860 6960 7000 7056 7104 7105 7168 7200 7203 7250 7252 7308 7350 7400 7424 7500 7511 7569 7680 7770 7840 7875 8000 8064 8120 8192 8232 8288 8325 8352 8400 8410 8526 8575 8584 8700 8750 8820 8880 8960 9000 9065 9135 9216 9250 9280 9324 9375 9408 9472 9600 9604 9657 9744 9800 9947 10000 10080 10092 10150 10240 10290 10360 10440 10500 10656 10730 10752 10875 10878 10976 11025 11100 11136 11200 11250 11368 11520 11600 11655 11760 11774 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- Sum of all divisors σ(n): 617016907275838524
- Sum of proper divisors (its aliquot sum) s(n): 479307901861438524
- 137709005414400000 is an abundant number, because the sum of its proper divisors (479307901861438524) is greater than itself. Its abundance is 341598896447038524
Bases of 137709005414400000
- Binary: 1111010010011110110011100010111100001100100000000000000002
- Hexadecimal: 0x1E93D9C5E190000
- Base-36: 11NXRNQIKU80
Squares and roots of 137709005414400000
- 137709005414400000 squared (1377090054144000002) is 18963770172223248515727360000000000
- 137709005414400000 cubed (1377090054144000003) is 2611481929324128550337855781794217984000000000000000
-
The
square root of 137709005414400000 is 371091640.1839308479 -
The
cube root of 137709005414400000 is 516401.4430715569
Scales and comparisons
How big is 137709005414400000?- 137,709,005,414,400,000 seconds is equal to 4,378,720,410 years, 13 weeks, 2 days, 8 hours.
-
To count from 1 to 137,709,005,414,400,000 would take you about thirteen billion, one hundred thirty-six million, one hundred sixty-one thousand, two hundred thirty 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 137709005414400000 cubic inches would be around 43033.5 feet tall.
Recreational maths with 137709005414400000
- 137709005414400000 backwards is 000004414500907731
- 137709005414400000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137709005414400000's digits is 45
- More coming soon!
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"Number 137709005414400000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 137709005414400000 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/137709005414400000/
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The information we have on file for 137709005414400000 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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