138325824000000000
138,325,824,000,000,000 is an even composite number composed of six prime numbers multiplied together.
138325824000000000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight thousand, six hundred forty divisors.
Prime factorization of 138325824000000000:
215 × 32 × 59 × 72 × 132 × 29
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 13 × 13 × 29)See below for interesting mathematical facts about the number 138325824000000000 from the Numbermatics database.
Names of 138325824000000000
- Cardinal: 138325824000000000 can be written as One hundred thirty-eight quadrillion, three hundred twenty-five trillion, eight hundred twenty-four billion.
Scientific notation
- Scientific notation: 1.38325824 × 1017
Factors of 138325824000000000
Divisors of 138325824000000000
- Number of divisors d(n): 8640
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 28 29 30 32 35 36 39 40 42 45 48 49 50 52 56 58 60 63 64 65 70 72 75 78 80 84 87 90 91 96 98 100 104 105 112 116 117 120 125 126 128 130 140 144 145 147 150 156 160 168 169 174 175 180 182 192 195 196 200 203 208 210 224 225 232 234 240 245 250 252 256 260 261 273 280 288 290 294 300 312 315 320 325 336 338 348 350 360 364 375 377 384 390 392 400 406 416 420 435 441 448 450 455 464 468 480 490 500 504 507 512 520 522 525 546 560 576 580 585 588 600 609 624 625 630 637 640 650 672 676 696 700 720 725 728 735 750 754 768 780 784 800 812 819 832 840 845 870 875 882 896 900 910 928 936 960 975 980 1000 1008 1014 1015 1024 1040 1044 1050 1092 1120 1125 1131 1152 1160 1170 1176 1183 1200 1218 1225 1248 1250 1260 1274 1280 1300 1305 1344 1352 1365 1392 1400 1421 1440 1450 1456 1470 1500 1508 1521 1536 1560 1568 1575 1600 1624 1625 1638 1664 1680 1690 1740 1750 1764 1792 1800 1820 1827 1856 1872 1875 1885 1911 1920 1950 1960 2000 2016 2028 2030 2048 2080 2088 2100 2175 2184 2205 2240 2250 2262 2275 2304 2320 2340 2352 2366 2400 2436 2450 2496 2500 2520 2535 2548 2560 2600 2610 2625 2639 2688 2704 2730 2784 2800 2842 2880 2900 2912 2925 2940 3000 3016 3042 3045 3072 3120 3125 3136 3150 3185 3200 3248 3250 3276 3328 3360 3380 3393 3480 3500 3528 3549 3584 3600 3625 3640 3654 3675 3712 3744 3750 3770 3822 3840 3900 3920 4000 4032 4056 4060 4095 4096 4160 4176 4200 4225 4263 4350 4368 4375 4410 4480 4500 4524 4550 4608 4640 4680 4704 4732 4800 4872 4875 4900 4901 4992 5000 5040 5070 5075 5096 5120 5200 5220 5250 5278 5376 5408 5460 5568 5600 5625 5655 5684 5733 5760 5800 5824 5850 5880 5915 6000 6032 6084 6090 6125 6144 6240 6250 6272 6300 6370 6400 6496 6500 6525 6552 6656 6720 6760 6786 6825 6960 7000 7056 7098 7105 7168 7200 7250 7280 7308 7350 7424 7488 7500 7540 7605 7644 7680 7800 7840 7875 7917 8000 8064 8112 8120 8125 8190 8192 8281 8320 8352 8400 8450 8526 8700 8736 8750 8820 8960 9000 9048 9100 9135 9216 9280 9360 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15369536000000000 17290728000000000 19760832000000000 23054304000000000 27665164800000000 34581456000000000 46108608000000000 69162912000000000 138325824000000000
- Sum of all divisors σ(n): 650884401489078900
- Sum of proper divisors (its aliquot sum) s(n): 512558577489078900
- 138325824000000000 is an abundant number, because the sum of its proper divisors (512558577489078900) is greater than itself. Its abundance is 374232753489078900
Bases of 138325824000000000
- Binary: 1111010110110111010011010101000101100100010000000000000002
- Hexadecimal: 0x1EB6E9AA2C88000
- Base-36: 11U0EUA6NSW0
Squares and roots of 138325824000000000
- 138325824000000000 squared (1383258240000000002) is 19134033585278976000000000000000000
- 138325824000000000 cubed (1383258240000000003) is 2646730962127388625076224000000000000000000000000000
-
The
square root of 138325824000000000 is 371921798.2318326015 -
The
cube root of 138325824000000000 is 517171.3070610931
Scales and comparisons
How big is 138325824000000000?- 138,325,824,000,000,000 seconds is equal to 4,398,333,333 years, 17 weeks, 2 days, 8 hours.
-
To count from 1 to 138,325,824,000,000,000 would take you about thirteen billion, one hundred ninety-five million 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 138325824000000000 cubic inches would be around 43097.6 feet tall.
Recreational maths with 138325824000000000
- 138325824000000000 backwards is 000000000428523831
- 138325824000000000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138325824000000000's digits is 36
- More coming soon!
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"Number 138325824000000000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 138325824000000000 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/138325824000000000/
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Numbermatics. 2024. "Number 138325824000000000 - Facts about the integer". https://numbermatics.com/n/138325824000000000/
The information we have on file for 138325824000000000 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 138325824000000000, math, Factors of 138325824000000000, curriculum, school, college, exams, university, Prime factorization of 138325824000000000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, three hundred twenty-five trillion, eight hundred twenty-four billion.