132145468416000
132,145,468,416,000 is an even composite number composed of six prime numbers multiplied together.
132145468416000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand and thirty-two divisors.
Prime factorization of 132145468416000:
213 × 38 × 53 × 13 × 17 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 17 × 89)See below for interesting mathematical facts about the number 132145468416000 from the Numbermatics database.
Names of 132145468416000
- Cardinal: 132145468416000 can be written as One hundred thirty-two trillion, one hundred forty-five billion, four hundred sixty-eight million, four hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.32145468416 × 1014
Factors of 132145468416000
Divisors of 132145468416000
- Number of divisors d(n): 4032
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 25 26 27 30 32 34 36 39 40 45 48 50 51 52 54 60 64 65 68 72 75 78 80 81 85 89 90 96 100 102 104 108 117 120 125 128 130 135 136 144 150 153 156 160 162 170 178 180 192 195 200 204 208 216 221 225 234 240 243 250 255 256 260 267 270 272 288 300 306 312 320 324 325 340 351 356 360 375 384 390 400 405 408 416 425 432 442 445 450 459 468 480 486 500 510 512 520 534 540 544 576 585 600 612 624 640 648 650 663 675 680 702 712 720 729 750 765 768 780 800 801 810 816 832 850 864 884 890 900 918 936 960 972 975 1000 1020 1024 1040 1053 1068 1080 1088 1105 1125 1152 1157 1170 1200 1215 1224 1248 1275 1280 1296 1300 1326 1335 1350 1360 1377 1404 1424 1440 1458 1500 1513 1530 1536 1560 1600 1602 1620 1625 1632 1664 1700 1728 1755 1768 1780 1800 1836 1872 1920 1944 1950 1989 2000 2025 2040 2048 2080 2106 2125 2136 2160 2176 2187 2210 2225 2250 2295 2304 2314 2340 2400 2403 2430 2448 2496 2550 2560 2592 2600 2652 2670 2700 2720 2754 2808 2848 2880 2916 2925 3000 3026 3060 3072 3120 3159 3200 3204 3240 3250 3264 3315 3328 3375 3400 3456 3471 3510 3536 3560 3600 3645 3672 3744 3825 3840 3888 3900 3978 4000 4005 4050 4080 4096 4131 4160 4212 4250 4272 4320 4352 4374 4420 4450 4500 4539 4590 4608 4628 4680 4800 4806 4860 4875 4896 4992 5100 5120 5184 5200 5265 5304 5340 5400 5440 5508 5525 5616 5696 5760 5785 5832 5850 5967 6000 6052 6075 6120 6144 6240 6318 6375 6400 6408 6480 6500 6528 6561 6630 6656 6675 6750 6800 6885 6912 6942 7020 7072 7120 7200 7209 7290 7344 7488 7565 7650 7680 7776 7800 7956 8000 8010 8100 8160 8192 8262 8320 8424 8500 8544 8640 8704 8748 8775 8840 8900 9000 9078 9180 9216 9256 9360 9477 9600 9612 9720 9750 9792 9945 9984 10125 10200 10240 10368 10400 10413 10530 10608 10680 10800 10880 10935 11016 11050 11125 11232 11392 11475 11520 11570 11664 11700 11934 12000 12015 12104 12150 12240 12288 12393 12480 12636 12750 12800 12816 12960 13000 13056 13122 13260 13312 13350 13500 13600 13617 13770 13824 13884 14040 14144 14240 14400 14418 14580 14625 14688 14976 15130 15300 15360 15552 15600 15795 15912 16000 16020 16200 16320 16524 16575 16640 16848 17000 17088 17280 17355 17408 17496 17550 17680 17800 17901 18000 18156 18225 18360 18432 18512 18720 18954 19125 19200 19224 19440 19500 19584 19669 19890 19968 20025 20250 20400 20480 20655 20736 20800 20826 21060 21216 21360 21600 21627 21760 21870 22032 22100 22250 22464 22695 22784 22950 23040 23140 23328 23400 23868 24000 24030 24208 24300 24480 24576 24786 24960 25272 25500 25600 25632 25920 26000 26112 26244 26325 26520 26624 26700 27000 27200 27234 27540 27625 27648 27768 28080 28288 28431 28480 28800 28836 28925 29160 29250 29376 29835 29952 30260 30375 30600 30720 31104 31200 31239 31590 31824 32000 32040 32400 32640 32805 33048 33150 33280 33375 33696 34000 34176 34425 34560 34710 34816 34992 35100 35360 35600 35802 36000 36045 36312 36450 36720 36864 37024 37179 37440 37825 37908 38250 38400 38448 38880 39000 39168 39338 39780 39936 40050 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77732628480 79414344000 80971488000 81320288256 81571276800 82487808000 82590917760 84708633600 86032206000 86369587200 87340032000 88096978944 90634752000 91767686400 92798784000 94120704000 95966208000 97165785600 97885532160 98985369600 99657216000 101650360320 101964096000 103238647200 103643504640 105885792000 107961984000 108761702400 110121223680 112944844800 114213888000 114709608000 117462638592 119588659200 121457232000 122356915200 123731712000 125494272000 127062950400 129048309000 129554380800 132145468416 135533813760 135952128000 137651529600 141181056000 143949312000 146828298240 148478054400 149485824000 152946144000 155465256960 158828688000 161942976000 163142553600 164975616000 165181835520 169417267200 172064412000 172739174400 176193957888 181269504000 183535372800 185597568000 188241408000 194331571200 195771064320 199314432000 203300720640 203928192000 206477294400 211771584000 215923968000 220242447360 225889689600 229419216000 242914464000 244713830400 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1651818355200 1694172672000 1761939578880 1835353728000 1943315712000 2033007206400 2064772944000 2202424473600 2447138304000 2541259008000 2591087616000 2642909368320 2753030592000 2936565964800 3303636710400 3388345344000 3670707456000 3886631424000 4129545888000 4404848947200 4894276608000 5082518016000 5285818736640 5506061184000 6607273420800 7341414912000 7773262848000 8259091776000 8809697894400 10165036032000 11012122368000 13214546841600 14682829824000 16518183552000 22024244736000 26429093683200 33036367104000 44048489472000 66072734208000 132145468416000
- Sum of all divisors σ(n): 570427312422240
- Sum of proper divisors (its aliquot sum) s(n): 438281844006240
- 132145468416000 is an abundant number, because the sum of its proper divisors (438281844006240) is greater than itself. Its abundance is 306136375590240
Bases of 132145468416000
- Binary: 111100000101111100000111011010000100000000000002
- Hexadecimal: 0x782F83B42000
- Base-36: 1AUASG0000
Squares and roots of 132145468416000
- 132145468416000 squared (1321454684160002) is 17462424822884053549056000000
- 132145468416000 cubed (1321454684160003) is 2307580307899199092296832354615296000000000
-
The
square root of 132145468416000 is 11495454.2500938169 -
The
cube root of 132145468416000 is 50935.1307011411
Scales and comparisons
How big is 132145468416000?- 132,145,468,416,000 seconds is equal to 4,201,817 years, 7 weeks, 3 days.
-
To count from 1 to 132,145,468,416,000 would take you about ten million, five hundred four thousand, five hundred forty-two 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 132145468416000 cubic inches would be around 4244.6 feet tall.
Recreational maths with 132145468416000
- 132145468416000 backwards is 000614864541231
- 132145468416000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 132145468416000's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 132145468416000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
APA style:
Numbermatics. (2024). Number 132145468416000 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/132145468416000/
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The information we have on file for 132145468416000 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 132145468416000, math, Factors of 132145468416000, curriculum, school, college, exams, university, Prime factorization of 132145468416000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-two trillion, one hundred forty-five billion, four hundred sixty-eight million, four hundred sixteen thousand.