132345422217216000
132,345,422,217,216,000 is an even composite number composed of six prime numbers multiplied together.
132345422217216000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 132345422217216000:
219 × 32 × 53 × 13 × 37 × 6832
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 37 × 683 × 683)See below for interesting mathematical facts about the number 132345422217216000 from the Numbermatics database.
Names of 132345422217216000
- Cardinal: 132345422217216000 can be written as One hundred thirty-two quadrillion, three hundred forty-five trillion, four hundred twenty-two billion, two hundred seventeen million, two hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.32345422217216 × 1017
Factors of 132345422217216000
Divisors of 132345422217216000
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 37 39 40 45 48 50 52 60 64 65 72 74 75 78 80 90 96 100 104 111 117 120 125 128 130 144 148 150 156 160 180 185 192 195 200 208 222 225 234 240 250 256 260 288 296 300 312 320 325 333 360 370 375 384 390 400 416 444 450 468 480 481 500 512 520 555 576 585 592 600 624 640 650 666 683 720 740 750 768 780 800 832 888 900 925 936 960 962 975 1000 1024 1040 1110 1125 1152 1170 1184 1200 1248 1280 1300 1332 1366 1440 1443 1480 1500 1536 1560 1600 1625 1664 1665 1776 1800 1850 1872 1920 1924 1950 2000 2048 2049 2080 2220 2250 2304 2340 2368 2400 2405 2496 2560 2600 2664 2732 2775 2880 2886 2925 2960 3000 3072 3120 3200 3250 3328 3330 3415 3552 3600 3700 3744 3840 3848 3900 4000 4096 4098 4160 4329 4440 4500 4608 4625 4680 4736 4800 4810 4875 4992 5120 5200 5328 5464 5550 5760 5772 5850 5920 6000 6144 6147 6240 6400 6500 6656 6660 6830 7104 7200 7215 7400 7488 7680 7696 7800 8000 8192 8196 8320 8325 8658 8879 8880 9000 9216 9250 9360 9472 9600 9620 9750 9984 10240 10245 10400 10656 10928 11100 11520 11544 11700 11840 12000 12025 12288 12294 12480 12800 13000 13312 13320 13660 13875 14208 14400 14430 14625 14800 14976 15360 15392 15600 16000 16384 16392 16640 16650 17075 17316 17758 17760 18000 18432 18500 18720 18944 19200 19240 19500 19968 20480 20490 20800 21312 21645 21856 22200 23040 23088 23400 23680 24000 24050 24576 24588 24960 25271 25600 26000 26624 26637 26640 27320 27750 28416 28800 28860 29250 29600 29952 30720 30735 30784 31200 32000 32768 32784 33280 33300 34150 34632 35516 35520 36000 36075 36864 37000 37440 37888 38400 38480 39000 39936 40960 40980 41600 41625 42624 43290 43712 44395 44400 46080 46176 46800 47360 48000 48100 49152 49176 49920 50542 51200 51225 52000 53248 53274 53280 54640 55500 56832 57600 57720 58500 59200 59904 60125 61440 61470 61568 62400 64000 65536 65568 66560 66600 68300 69264 71032 71040 72000 72150 73728 74000 74880 75776 75813 76800 76960 78000 79872 79911 81920 81960 83200 83250 85248 85375 86580 87424 88790 88800 92160 92352 93600 94720 96000 96200 98304 98352 99840 101084 102400 102450 104000 106496 106548 106560 108225 109280 111000 113664 115200 115440 117000 118400 119808 120250 122880 122940 123136 124800 126355 128000 131072 131136 133120 133185 133200 136600 138528 142064 142080 144000 144300 147456 148000 149760 151552 151626 153600 153675 153920 156000 159744 159822 163840 163920 166400 166500 170496 170750 173160 174848 177580 177600 180375 184320 184704 187200 189440 192000 192400 196608 196704 199680 202168 204800 204900 208000 212992 213096 213120 216450 218560 221975 222000 227328 227439 230400 230880 234000 236800 239616 240500 245760 245880 246272 249600 252710 256000 256125 262144 262272 266240 266370 266400 273200 277056 284128 284160 288000 288600 294912 296000 299520 303104 303252 307200 307350 307840 312000 319488 319644 327680 327840 328523 332800 333000 340992 341500 346320 349696 355160 355200 360750 368640 369408 374400 378880 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529381688868864 551439259238400 565578727424000 588201876520960 596150550528000 636276068352000 661727111086080 678694472908800 689299074048000 715380660633600 735252345651200 827158888857600 848368091136000 882302814781440 894225825792000 919065432064000 1018041709363200 1033948611072000 1058763377737728 1102878518476800 1131157454848000 1192301101056000 1272552136704000 1323454222172160 1378598148096000 1470504691302400 1654317777715200 1696736182272000 1764605629562880 1788451651584000 1838130864128000 2036083418726400 2067897222144000 2205757036953600 2545104273408000 2646908444344320 2757196296192000 2941009382604800 3308635555430400 3393472364544000 3576903303168000 3676261728256000 4135794444288000 4411514073907200 5090208546816000 5293816888688640 5514392592384000 6617271110860800 7352523456512000 8271588888576000 8823028147814400 10180417093632000 11028785184768000 13234542221721600 14705046913024000 16543177777152000 22057570369536000 26469084443443200 33086355554304000 44115140739072000 66172711108608000 132345422217216000
- Sum of all divisors σ(n): 528514390767963600
- Sum of proper divisors (its aliquot sum) s(n): 396168968550747600
- 132345422217216000 is an abundant number, because the sum of its proper divisors (396168968550747600) is greater than itself. Its abundance is 263823546333531600
Bases of 132345422217216000
- Binary: 1110101100010111101110101110101101110100000000000000000002
- Hexadecimal: 0x1D62F75D6E80000
- Base-36: 1074JBMQL8G0
Squares and roots of 132345422217216000
- 132345422217216000 squared (1323454222172160002) is 17515310781853170417486790656000000
- 132345422217216000 cubed (1323454222172160003) is 2318071200690113527731223754198787551133696000000000
-
The
square root of 132345422217216000 is 363793103.5866622911 -
The
cube root of 132345422217216000 is 509608.0831362387
Scales and comparisons
How big is 132345422217216000?- 132,345,422,217,216,000 seconds is equal to 4,208,175,055 years, 12 weeks, 2 days, 16 hours.
-
To count from 1 to 132,345,422,217,216,000 would take you about twelve billion, six hundred twenty-four million, five hundred twenty-five thousand, one hundred sixty-five 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 132345422217216000 cubic inches would be around 42467.3 feet tall.
Recreational maths with 132345422217216000
- 132345422217216000 backwards is 000612712224543231
- 132345422217216000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 132345422217216000's digits is 45
- More coming soon!
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Cite this page
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"Number 132345422217216000 - Facts about the integer". Numbermatics.com. 2024. Web. 26 September 2024.
APA style:
Numbermatics. (2024). Number 132345422217216000 - Facts about the integer. Retrieved 26 September 2024, from https://numbermatics.com/n/132345422217216000/
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The information we have on file for 132345422217216000 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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