132146961408000
132,146,961,408,000 is an even composite number composed of six prime numbers multiplied together.
132146961408000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six thousand, two hundred seventy-two divisors.
Prime factorization of 132146961408000:
213 × 36 × 53 × 7 × 113 × 19
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 11 × 11 × 11 × 19)See below for interesting mathematical facts about the number 132146961408000 from the Numbermatics database.
Names of 132146961408000
- Cardinal: 132146961408000 can be written as One hundred thirty-two trillion, one hundred forty-six billion, nine hundred sixty-one million, four hundred eight thousand.
Scientific notation
- Scientific notation: 1.32146961408 × 1014
Factors of 132146961408000
Divisors of 132146961408000
- Number of divisors d(n): 6272
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 19 20 21 22 24 25 27 28 30 32 33 35 36 38 40 42 44 45 48 50 54 55 56 57 60 63 64 66 70 72 75 76 77 80 81 84 88 90 95 96 99 100 105 108 110 112 114 120 121 125 126 128 132 133 135 140 144 150 152 154 160 162 165 168 171 175 176 180 189 190 192 198 200 209 210 216 220 224 225 228 231 240 242 243 250 252 256 264 266 270 275 280 285 288 297 300 304 308 315 320 324 330 336 342 350 352 360 363 375 378 380 384 385 396 399 400 405 418 420 432 440 448 450 456 462 475 480 484 486 495 500 504 512 513 525 528 532 540 550 560 567 570 576 594 600 605 608 616 627 630 640 648 660 665 672 675 684 693 700 704 720 726 729 750 756 760 768 770 792 798 800 810 825 836 840 847 855 864 875 880 891 896 900 912 924 945 950 960 968 972 990 1000 1008 1024 1026 1045 1050 1056 1064 1080 1089 1100 1120 1125 1134 1140 1152 1155 1188 1197 1200 1210 1215 1216 1232 1254 1260 1280 1296 1320 1330 1331 1344 1350 1368 1375 1386 1400 1408 1425 1440 1452 1458 1463 1485 1500 1512 1520 1536 1539 1540 1575 1584 1596 1600 1620 1650 1672 1680 1694 1701 1710 1728 1750 1760 1782 1792 1800 1815 1824 1848 1881 1890 1900 1920 1925 1936 1944 1980 1995 2000 2016 2025 2048 2052 2079 2090 2100 2112 2128 2160 2178 2200 2240 2250 2268 2280 2299 2304 2310 2375 2376 2394 2400 2420 2430 2432 2464 2475 2508 2520 2541 2560 2565 2592 2625 2640 2660 2662 2673 2688 2700 2736 2750 2772 2800 2816 2835 2850 2880 2904 2916 2926 2970 3000 3024 3025 3040 3072 3078 3080 3135 3150 3168 3192 3200 3240 3267 3300 3325 3344 3360 3375 3388 3402 3420 3456 3465 3500 3520 3564 3584 3591 3600 3630 3645 3648 3696 3762 3780 3800 3840 3850 3872 3888 3960 3990 3993 4000 4032 4050 4096 4104 4125 4158 4180 4200 4224 4235 4256 4275 4320 4356 4389 4400 4455 4480 4500 4536 4560 4598 4608 4617 4620 4725 4750 4752 4788 4800 4840 4860 4864 4928 4950 5016 5040 5082 5103 5120 5130 5184 5225 5250 5280 5320 5324 5346 5376 5400 5445 5472 5500 5544 5600 5632 5643 5670 5700 5760 5775 5808 5832 5852 5940 5985 6000 6048 6050 6075 6080 6144 6156 6160 6237 6270 6300 6336 6384 6400 6480 6534 6600 6650 6655 6688 6720 6750 6776 6804 6840 6897 6912 6930 7000 7040 7125 7128 7168 7182 7200 7260 7290 7296 7315 7392 7425 7524 7560 7600 7623 7680 7695 7700 7744 7776 7875 7920 7980 7986 8000 8019 8064 8100 8192 8208 8250 8316 8360 8400 8448 8470 8505 8512 8550 8640 8712 8778 8800 8910 8960 9000 9072 9075 9120 9196 9216 9234 9240 9317 9405 9450 9500 9504 9576 9600 9625 9680 9720 9728 9801 9856 9900 9975 10032 10080 10125 10164 10206 10240 10260 10368 10395 10450 10500 10560 10640 10648 10692 10752 10773 10800 10890 10944 11000 11088 11200 11264 11286 11340 11400 11495 11520 11550 11616 11664 11704 11880 11970 11979 12000 12096 12100 12150 12160 12288 12312 12320 12375 12474 12540 12600 12672 12705 12768 12800 12825 12960 13068 13167 13200 13300 13310 13365 13376 13440 13500 13552 13608 13680 13794 13824 13851 13860 14000 14080 14175 14250 14256 14336 14364 14400 14520 14580 14592 14630 14784 14850 15048 15120 15125 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1501670016000 1573178112000 1631443968000 1651837017600 1716194304000 1738775808000 1761959485440 1835374464000 1887813734400 2002226688000 2064796272000 2097570816000 2202449356800 2318367744000 2359767168000 2402672025600 2447165952000 2642939228160 2753061696000 2936599142400 3003340032000 3146356224000 3303674035200 3477551616000 3670748928000 3775627468800 4004453376000 4129592544000 4404898713600 4719534336000 4894331904000 5285878456320 5506123392000 6006680064000 6292712448000 6607348070400 6955103232000 7341497856000 8259185088000 8809797427200 9439068672000 11012246784000 12013360128000 13214696140800 14682995712000 16518370176000 18878137344000 22024493568000 26429392281600 33036740352000 44048987136000 66073480704000 132146961408000
- Sum of all divisors σ(n): 654333643791360
- Sum of proper divisors (its aliquot sum) s(n): 522186682383360
- 132146961408000 is an abundant number, because the sum of its proper divisors (522186682383360) is greater than itself. Its abundance is 390039720975360
Bases of 132146961408000
- Binary: 111100000101111110111001011000101100000000000002
- Hexadecimal: 0x782FDCB16000
- Base-36: 1AUBH4W000
Squares and roots of 132146961408000
- 132146961408000 squared (1321469614080002) is 17462819409367441342464000000
- 132146961408000 cubed (1321469614080003) is 2307658522564552624774293919629312000000000
-
The
square root of 132146961408000 is 11495519.1882750559 -
The
cube root of 132146961408000 is 50935.3225237267
Scales and comparisons
How big is 132146961408000?- 132,146,961,408,000 seconds is equal to 4,201,864 years, 32 weeks.
-
To count from 1 to 132,146,961,408,000 would take you about ten million, five hundred four thousand, six hundred sixty-one 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 132146961408000 cubic inches would be around 4244.6 feet tall.
Recreational maths with 132146961408000
- 132146961408000 backwards is 000804169641231
- 132146961408000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 132146961408000's digits is 45
- More coming soon!
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MLA style:
"Number 132146961408000 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
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Numbermatics. (2024). Number 132146961408000 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/132146961408000/
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The information we have on file for 132146961408000 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 132146961408000, math, Factors of 132146961408000, curriculum, school, college, exams, university, Prime factorization of 132146961408000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-two trillion, one hundred forty-six billion, nine hundred sixty-one million, four hundred eight thousand.