132753839328000
132,753,839,328,000 is an even composite number composed of six prime numbers multiplied together.
132753839328000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 132753839328000:
28 × 37 × 53 × 112 × 61 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 61 × 257)See below for interesting mathematical facts about the number 132753839328000 from the Numbermatics database.
Names of 132753839328000
- Cardinal: 132753839328000 can be written as One hundred thirty-two trillion, seven hundred fifty-three billion, eight hundred thirty-nine million, three hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.32753839328 × 1014
Factors of 132753839328000
Divisors of 132753839328000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 61 64 66 72 75 80 81 88 90 96 99 100 108 110 120 121 122 125 128 132 135 144 150 160 162 165 176 180 183 192 198 200 216 220 225 240 242 243 244 250 256 257 264 270 275 288 297 300 305 320 324 330 352 360 363 366 375 384 396 400 405 432 440 450 480 484 486 488 495 500 514 528 540 549 550 576 594 600 605 610 640 648 660 671 675 704 720 726 729 732 750 768 771 792 800 810 825 864 880 891 900 915 960 968 972 976 990 1000 1028 1056 1080 1089 1098 1100 1125 1152 1188 1200 1210 1215 1220 1280 1285 1296 1320 1342 1350 1375 1408 1440 1452 1458 1464 1485 1500 1525 1542 1584 1600 1620 1647 1650 1728 1760 1782 1800 1815 1830 1920 1936 1944 1952 1980 2000 2013 2025 2056 2112 2160 2178 2187 2196 2200 2250 2304 2313 2376 2400 2420 2430 2440 2475 2570 2592 2640 2673 2684 2700 2745 2750 2816 2827 2880 2904 2916 2928 2970 3000 3025 3050 3084 3168 3200 3240 3267 3294 3300 3355 3375 3456 3520 3564 3600 3630 3645 3660 3840 3855 3872 3888 3904 3960 4000 4026 4050 4112 4125 4224 4320 4356 4374 4392 4400 4455 4500 4575 4626 4752 4800 4840 4860 4880 4941 4950 5140 5184 5280 5346 5368 5400 5445 5490 5500 5654 5760 5808 5832 5856 5940 6000 6039 6050 6075 6100 6168 6336 6400 6425 6480 6534 6588 6600 6710 6750 6912 6939 7040 7128 7200 7260 7290 7320 7381 7425 7625 7710 7744 7776 7808 7920 8000 8019 8052 8100 8224 8235 8250 8448 8481 8640 8712 8748 8784 8800 8910 9000 9075 9150 9252 9504 9600 9680 9720 9760 9801 9882 9900 10065 10125 10280 10368 10560 10692 10736 10800 10890 10935 10980 11000 11308 11520 11565 11616 11664 11712 11880 12000 12078 12100 12150 12200 12336 12375 12672 12850 12960 13068 13176 13200 13365 13420 13500 13725 13878 14080 14135 14256 14400 14520 14580 14640 14762 14823 14850 15125 15250 15420 15488 15552 15616 15677 15840 16000 16038 16104 16200 16335 16448 16470 16500 16775 16962 17280 17424 17496 17568 17600 17820 18000 18117 18150 18225 18300 18504 19008 19200 19275 19360 19440 19520 19602 19764 19800 20130 20250 20560 20736 20817 21120 21384 21472 21600 21780 21870 21960 22000 22143 22275 22616 22875 23130 23232 23328 23424 23760 24000 24057 24156 24200 24300 24400 24672 24705 24750 25344 25443 25700 25920 26136 26352 26400 26730 26840 27000 27225 27450 27756 28270 28512 28800 29040 29160 29280 29403 29524 29646 29700 30195 30250 30375 30500 30840 30976 31097 31104 31354 31680 32000 32076 32125 32208 32400 32670 32896 32940 33000 33550 33924 34560 34695 34848 34992 35136 35200 35640 36000 36234 36300 36450 36600 36905 37008 37125 38016 38550 38720 38880 39040 39204 39528 39600 40095 40260 40500 41120 41175 41634 42240 42405 42768 42944 43200 43560 43740 43920 44000 44286 44469 44550 45232 45375 45750 46260 46464 46656 46848 47031 47520 48000 48114 48312 48400 48600 48800 49005 49344 49410 49500 50325 50886 51400 51840 52272 52704 52800 53460 53680 54000 54351 54450 54675 54900 55512 56540 57024 57600 57825 58080 58320 58560 58806 59048 59292 59400 60390 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181357704000 182104032000 182856528000 184380332400 188570794500 196672354560 197844768000 201142180800 204867036000 207427873950 217629244800 219427833600 221256398880 223491312000 230475415500 241370616960 241810272000 245840443200 251427726000 258275952000 265507678656 268189574400 272036556000 273156048000 274284792000 276570498600 295008531840 301713271200 307300554000 327787257600 331884598320 335236968000 345713123250 354010238208 362715408000 365713056000 368760664800 377141589000 402284361600 409734072000 414855747900 435258489600 442512797760 446982624000 460950831000 482741233920 491680886400 502855452000 516551904000 518569684875 531015357312 544073112000 546312096000 548569584000 553140997200 590017063680 603426542400 614601108000 663769196640 670473936000 691426246500 725430816000 737521329600 754283178000 804568723200 819468144000 829711495800 885025595520 921901662000 983361772800 1005710904000 1037139369750 1062030714624 1088146224000 1097139168000 1106281994400 1206853084800 1229202216000 1327538393280 1340947872000 1382852493000 1475042659200 1508566356000 1638936288000 1659422991600 1770051191040 1843803324000 2011421808000 2074278739500 2176292448000 2212563988800 2413706169600 2458404432000 2655076786560 2765704986000 2950085318400 3017132712000 3318845983200 3687606648000 4022843616000 4148557479000 4425127977600 4916808864000 5310153573120 5531409972000 6034265424000 6637691966400 7375213296000 8297114958000 8850255955200 11062819944000 12068530848000 13275383932800 14750426592000 16594229916000 22125639888000 26550767865600 33188459832000 44251279776000 66376919664000 132753839328000
- Sum of all divisors σ(n): 556265824208640
- Sum of proper divisors (its aliquot sum) s(n): 423511984880640
- 132753839328000 is an abundant number, because the sum of its proper divisors (423511984880640) is greater than itself. Its abundance is 290758145552640
Bases of 132753839328000
- Binary: 111100010111101001010010110111110001011000000002
- Hexadecimal: 0x78BD296F8B00
- Base-36: 1B229SC000
Squares and roots of 132753839328000
- 132753839328000 squared (1327538393280002) is 17623581856324439491584000000
- 132753839328000 cubed (1327538393280003) is 2339598154138350620905400344215552000000000
-
The
square root of 132753839328000 is 11521885.2332419977 -
The
cube root of 132753839328000 is 51013.1760558273
Scales and comparisons
How big is 132753839328000?- 132,753,839,328,000 seconds is equal to 4,221,161 years, 23 weeks, 5 days.
-
To count from 1 to 132,753,839,328,000 would take you about ten million, five hundred fifty-two thousand, nine hundred 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 132753839328000 cubic inches would be around 4251.1 feet tall.
Recreational maths with 132753839328000
- 132753839328000 backwards is 000823938357231
- 132753839328000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 132753839328000's digits is 54
- More coming soon!
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"Number 132753839328000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 132753839328000 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/132753839328000/
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The information we have on file for 132753839328000 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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