45388482048000
45,388,482,048,000 is an even composite number composed of six prime numbers multiplied together.
45388482048000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, seven hundred forty-four divisors.
Prime factorization of 45388482048000:
212 × 32 × 53 × 73 × 13 × 472
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 13 × 47 × 47)See below for interesting mathematical facts about the number 45388482048000 from the Numbermatics database.
Names of 45388482048000
- Cardinal: 45388482048000 can be written as Forty-five trillion, three hundred eighty-eight billion, four hundred eighty-two million, forty-eight thousand.
Scientific notation
- Scientific notation: 4.5388482048 × 1013
Factors of 45388482048000
Divisors of 45388482048000
- Number of divisors d(n): 3744
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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 30 32 35 36 39 40 42 45 47 48 49 50 52 56 60 63 64 65 70 72 75 78 80 84 90 91 94 96 98 100 104 105 112 117 120 125 126 128 130 140 141 144 147 150 156 160 168 175 180 182 188 192 195 196 200 208 210 224 225 234 235 240 245 250 252 256 260 273 280 282 288 294 300 312 315 320 325 329 336 343 350 360 364 375 376 384 390 392 400 416 420 423 441 448 450 455 468 470 480 490 500 504 512 520 525 546 560 564 576 585 588 600 611 624 630 637 640 650 658 672 686 700 705 720 728 735 750 752 768 780 784 800 819 832 840 846 875 882 896 900 910 936 940 960 975 980 987 1000 1008 1024 1029 1040 1050 1092 1120 1125 1128 1152 1170 1175 1176 1200 1222 1225 1248 1260 1274 1280 1300 1316 1344 1365 1372 1400 1410 1440 1456 1470 1500 1504 1536 1560 1568 1575 1600 1625 1638 1645 1664 1680 1692 1715 1750 1764 1792 1800 1820 1833 1872 1880 1911 1920 1950 1960 1974 2000 2016 2048 2058 2080 2100 2115 2184 2205 2209 2240 2250 2256 2275 2303 2304 2340 2350 2352 2400 2444 2450 2496 2520 2548 2560 2600 2625 2632 2688 2730 2744 2800 2820 2880 2912 2925 2940 2961 3000 3008 3055 3072 3087 3120 3136 3150 3185 3200 3250 3276 3290 3328 3360 3384 3430 3500 3525 3528 3584 3600 3640 3666 3675 3744 3760 3822 3840 3900 3920 3948 4000 4032 4095 4096 4116 4160 4200 4230 4277 4368 4410 4418 4459 4480 4500 4512 4550 4606 4608 4680 4700 4704 4800 4875 4888 4900 4935 4992 5040 5096 5120 5145 5200 5250 5264 5376 5460 5488 5499 5600 5640 5733 5760 5824 5850 5875 5880 5922 6000 6016 6110 6125 6144 6174 6240 6272 6300 6370 6400 6500 6552 6580 6627 6656 6720 6768 6825 6860 6909 7000 7050 7056 7168 7200 7280 7332 7350 7488 7520 7644 7680 7800 7840 7875 7896 8000 8064 8190 8225 8232 8320 8400 8460 8554 8575 8736 8820 8836 8918 8960 9000 9024 9100 9165 9212 9216 9360 9400 9408 9555 9600 9750 9776 9800 9870 9984 10080 10192 10240 10290 10400 10500 10528 10575 10752 10920 10976 10998 11025 11045 11200 11280 11375 11466 11515 11520 11648 11700 11750 11760 11844 12000 12032 12220 12250 12288 12348 12480 12544 12600 12740 12800 12831 13000 13104 13160 13254 13312 13377 13440 13536 13650 13720 13818 14000 14100 14112 14336 14400 14560 14625 14664 14700 14805 14976 15040 15275 15288 15360 15435 15463 15600 15680 15750 15792 15925 16000 16121 16128 16380 16450 16464 16640 16800 16920 17108 17150 17472 17625 17640 17672 17836 17920 18000 18048 18200 18330 18375 18424 18432 18720 18800 18816 19110 19200 19500 19552 19600 19740 19881 19968 20160 20384 20475 20480 20580 20727 20800 21000 21056 21150 21385 21504 21840 21952 21996 22050 22090 22295 22400 22560 22750 22932 23030 23040 23296 23400 23500 23520 23688 24000 24064 24440 24500 24675 24696 24960 25088 25200 25480 25600 25662 25725 26000 26208 26320 26508 26624 26754 26880 27072 27300 27440 27495 27636 28000 28200 28224 28665 28672 28717 28800 29120 29250 29328 29400 29610 29939 29952 30080 30550 30576 30720 30870 30926 31200 31360 31500 31584 31850 32000 32242 32256 32760 32900 32928 33135 33280 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162101721600 166258176000 174571084800 177298758000 180113024000 181553928192 185259110400 189118675200 193142476800 193967872000 201726586880 202627152000 216135628800 218213856000 226942410240 231573888000 232761446400 236398344000 241428096000 249387264000 252158233600 259362754560 270169536000 283678012800 290951808000 302589880320 308765184000 315197792000 321904128000 324203443200 349142169600 354597516000 360226048000 363107856384 378237350400 387935744000 405254304000 432271257600 436427712000 453884820480 463147776000 472796688000 482856192000 498774528000 504316467200 540339072000 567356025600 581903616000 605179760640 630395584000 648406886400 698284339200 709195032000 720452096000 756474700800 810508608000 872855424000 907769640960 926295552000 945593376000 965712384000 1008632934400 1080678144000 1134712051200 1163807232000 1260791168000 1296813772800 1418390064000 1512949401600 1621017216000 1745710848000 1815539281920 1891186752000 2161356288000 2269424102400 2521582336000 2836780128000 3025898803200 3242034432000 3491421696000 3782373504000 4538848204800 5043164672000 5673560256000 6484068864000 7564747008000 9077696409600 11347120512000 15129494016000 22694241024000 45388482048000
- Sum of all divisors σ(n): 209954149641600
- Sum of proper divisors (its aliquot sum) s(n): 164565667593600
- 45388482048000 is an abundant number, because the sum of its proper divisors (164565667593600) is greater than itself. Its abundance is 119177185545600
Bases of 45388482048000
- Binary: 10100101000111110101000101100101110000000000002
- Hexadecimal: 0x2947D4597000
- Base-36: G376IBCW0
Squares and roots of 45388482048000
- 45388482048000 squared (453884820480002) is 2060114302621618274304000000
- 45388482048000 cubed (453884820480003) is 93505461041369360379955843694592000000000
-
The
square root of 45388482048000 is 6737097.4497924549 -
The
cube root of 45388482048000 is 35670.9946640495
Scales and comparisons
How big is 45388482048000?- 45,388,482,048,000 seconds is equal to 1,443,213 years, 17 weeks, 2 days, 8 hours.
-
To count from 1 to 45,388,482,048,000 would take you about three million, six hundred eight thousand and thirty-three 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 45388482048000 cubic inches would be around 2972.6 feet tall.
Recreational maths with 45388482048000
- 45388482048000 backwards is 00084028488354
- The number of decimal digits it has is: 14
- The sum of 45388482048000's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 45388482048000 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
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Numbermatics. (2024). Number 45388482048000 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/45388482048000/
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The information we have on file for 45388482048000 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 45388482048000, math, Factors of 45388482048000, curriculum, school, college, exams, university, Prime factorization of 45388482048000, STEM, science, technology, engineering, physics, economics, calculator, forty-five trillion, three hundred eighty-eight billion, four hundred eighty-two million, forty-eight thousand.