132345827328000
132,345,827,328,000 is an even composite number composed of seven prime numbers multiplied together.
132345827328000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 132345827328000:
215 × 3 × 53 × 112 × 13 × 41 × 167
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 11 × 13 × 41 × 167)See below for interesting mathematical facts about the number 132345827328000 from the Numbermatics database.
Names of 132345827328000
- Cardinal: 132345827328000 can be written as One hundred thirty-two trillion, three hundred forty-five billion, eight hundred twenty-seven million, three hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.32345827328 × 1014
Factors of 132345827328000
Divisors of 132345827328000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 25 26 30 32 33 39 40 41 44 48 50 52 55 60 64 65 66 75 78 80 82 88 96 100 104 110 120 121 123 125 128 130 132 143 150 156 160 164 165 167 176 192 195 200 205 208 220 240 242 246 250 256 260 264 275 286 300 312 320 325 328 330 334 352 363 375 384 390 400 410 416 429 440 451 480 484 492 500 501 512 520 528 533 550 572 600 605 615 624 640 650 656 660 668 704 715 726 750 768 780 800 820 825 832 835 858 880 902 960 968 975 984 1000 1002 1024 1025 1040 1056 1066 1100 1144 1200 1210 1230 1248 1280 1300 1312 1320 1336 1353 1375 1408 1430 1452 1500 1536 1560 1573 1599 1600 1625 1640 1650 1664 1670 1716 1760 1804 1815 1837 1920 1936 1950 1968 2000 2004 2048 2050 2080 2112 2132 2145 2171 2200 2255 2288 2400 2420 2460 2496 2505 2560 2600 2624 2640 2665 2672 2706 2750 2816 2860 2904 3000 3025 3072 3075 3120 3146 3198 3200 3250 3280 3300 3328 3340 3432 3520 3575 3608 3630 3674 3840 3872 3900 3936 4000 4008 4096 4100 4125 4160 4175 4224 4264 4290 4342 4400 4510 4576 4719 4800 4840 4875 4920 4961 4992 5010 5120 5125 5200 5248 5280 5330 5344 5412 5500 5511 5632 5720 5808 5863 6000 6050 6144 6150 6240 6292 6396 6400 6500 6513 6560 6600 6656 6680 6765 6847 6864 7040 7150 7216 7260 7348 7680 7744 7800 7865 7872 7995 8000 8016 8192 8200 8250 8320 8350 8448 8528 8580 8684 8800 9020 9075 9152 9185 9438 9600 9680 9750 9840 9922 9984 10020 10240 10250 10400 10496 10560 10660 10688 10725 10824 10855 11000 11022 11264 11275 11440 11616 11726 12000 12100 12288 12300 12480 12525 12584 12792 12800 13000 13026 13120 13200 13312 13325 13360 13530 13694 13728 14080 14300 14432 14520 14696 14883 15125 15360 15375 15488 15600 15730 15744 15990 16000 16032 16384 16400 16500 16640 16700 16896 17056 17160 17368 17589 17600 17875 18040 18150 18304 18370 18876 19200 19360 19500 19680 19844 19968 20040 20207 20480 20500 20541 20800 20875 20992 21120 21320 21376 21450 21648 21710 22000 22044 22528 22550 22880 23232 23452 23595 23881 24000 24200 24576 24600 24805 24960 25050 25168 25584 25600 26000 26052 26240 26400 26624 26650 26720 27060 27388 27456 27555 28160 28600 28864 29040 29315 29392 29766 30250 30720 30750 30976 31200 31460 31488 31980 32000 32064 32565 32768 32800 33000 33280 33400 33792 33825 34112 34235 34320 34736 35178 35200 35750 36080 36300 36608 36740 37752 38400 38720 39000 39325 39360 39688 39936 39975 40080 40414 40960 41000 41082 41600 41750 41984 42240 42640 42752 42900 43296 43420 44000 44088 45056 45100 45375 45760 45925 46464 46904 47190 47762 48000 48400 49152 49200 49610 49920 50100 50336 51168 51200 52000 52104 52480 52800 53248 53300 53440 53625 54120 54275 54776 54912 55110 56320 56375 57200 57728 58080 58630 58784 59532 60500 60621 61440 61500 61952 62400 62625 62920 62976 63960 64000 64128 64493 65130 65600 66000 66560 66625 66800 67584 67650 68224 68470 68640 69472 70356 70400 71500 71643 72160 72600 73216 73480 74415 75317 75504 76800 77440 78000 78650 78720 79376 79872 79950 80160 80828 81920 82000 82164 83200 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250654976000 254511206400 258487944000 264163328000 264691654656 268995584000 273441792000 275720473600 293449728000 300785971200 308498432000 318139008000 322794700800 330864568320 339348275200 344650592000 352922206208 364589056000 375982464000 396244992000 401047961600 403493376000 407217930240 413580710400 424185344000 441152757760 462747648000 481257553920 501309952000 509022412800 516975888000 529383309312 537991168000 546883584000 551440947200 601571942400 636278016000 645589401600 661729136640 678696550400 689301184000 751964928000 792489984000 802095923200 806986752000 827161420800 848370688000 882305515520 925495296000 1002619904000 1018044825600 1033951776000 1058766618624 1075982336000 1093767168000 1102881894400 1203143884800 1272556032000 1323458273280 1378602368000 1503929856000 1613973504000 1654322841600 1696741376000 1764611031040 2005239808000 2036089651200 2067903552000 2205763788800 2406287769600 2545112064000 2646916546560 2757204736000 3007859712000 3227947008000 3308645683200 3393482752000 4010479616000 4135807104000 4411527577600 5090224128000 5293833093120 5514409472000 6015719424000 6617291366400 8271614208000 8823055155200 10180448256000 11028818944000 12031438848000 13234582732800 16543228416000 22057637888000 26469165465600 33086456832000 44115275776000 66172913664000 132345827328000
- Sum of all divisors σ(n): 537274393044480
- Sum of proper divisors (its aliquot sum) s(n): 404928565716480
- 132345827328000 is an abundant number, because the sum of its proper divisors (404928565716480) is greater than itself. Its abundance is 272582738388480
Bases of 132345827328000
- Binary: 111100001011110001010100000011010000000000000002
- Hexadecimal: 0x785E2A068000
- Base-36: 1AWUU0ITXC
Squares and roots of 132345827328000
- 132345827328000 squared (1323458273280002) is 17515418011132791619584000000
- 132345827328000 cubed (1323458273280003) is 2318092487679121621364069527191552000000000
-
The
square root of 132345827328000 is 11504165.6511022127 -
The
cube root of 132345827328000 is 50960.8603107679
Scales and comparisons
How big is 132345827328000?- 132,345,827,328,000 seconds is equal to 4,208,187 years, 48 weeks, 4 days, 21 hours, 20 minutes.
-
To count from 1 to 132,345,827,328,000 would take you about ten million, five hundred twenty thousand, four hundred sixty-nine 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 132345827328000 cubic inches would be around 4246.7 feet tall.
Recreational maths with 132345827328000
- 132345827328000 backwards is 000823728543231
- 132345827328000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 132345827328000's digits is 48
- More coming soon!
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"Number 132345827328000 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
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Numbermatics. (2024). Number 132345827328000 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/132345827328000/
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The information we have on file for 132345827328000 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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