132916956294144000
132,916,956,294,144,000 is an even composite number composed of eight prime numbers multiplied together.
132916956294144000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, five hundred eighty-four divisors.
Prime factorization of 132916956294144000:
213 × 3 × 53 × 11 × 31 × 37 × 41 × 83641
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 31 × 37 × 41 × 83641)See below for interesting mathematical facts about the number 132916956294144000 from the Numbermatics database.
Names of 132916956294144000
- Cardinal: 132916956294144000 can be written as One hundred thirty-two quadrillion, nine hundred sixteen trillion, nine hundred fifty-six billion, two hundred ninety-four million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.32916956294144 × 1017
Factors of 132916956294144000
Divisors of 132916956294144000
- Number of divisors d(n): 3584
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 31 32 33 37 40 41 44 48 50 55 60 62 64 66 74 75 80 82 88 93 96 100 110 111 120 123 124 125 128 132 148 150 155 160 164 165 176 185 186 192 200 205 220 222 240 246 248 250 256 264 275 296 300 310 320 328 330 341 352 370 372 375 384 400 407 410 440 444 451 465 480 492 496 500 512 528 550 555 592 600 615 620 640 656 660 682 704 740 744 750 768 775 800 814 820 825 880 888 902 925 930 960 984 992 1000 1023 1024 1025 1056 1100 1110 1147 1184 1200 1221 1230 1240 1271 1280 1312 1320 1353 1364 1375 1408 1480 1488 1500 1517 1536 1550 1600 1628 1640 1650 1705 1760 1776 1804 1850 1860 1920 1968 1984 2000 2035 2046 2048 2050 2112 2200 2220 2255 2294 2325 2368 2400 2442 2460 2480 2542 2560 2624 2640 2706 2728 2750 2775 2816 2960 2976 3000 3034 3072 3075 3100 3200 3256 3280 3300 3410 3441 3520 3552 3608 3700 3720 3813 3840 3875 3936 3968 4000 4070 4092 4096 4100 4125 4224 4400 4440 4510 4551 4588 4625 4650 4736 4800 4884 4920 4960 5084 5115 5120 5125 5248 5280 5412 5456 5500 5550 5632 5735 5920 5952 6000 6068 6105 6144 6150 6200 6355 6400 6512 6560 6600 6765 6820 6882 7040 7104 7216 7400 7440 7585 7626 7680 7750 7872 7936 8000 8140 8184 8192 8200 8250 8448 8525 8800 8880 9020 9102 9176 9250 9300 9472 9600 9768 9840 9920 10168 10175 10230 10240 10250 10496 10560 10824 10912 11000 11100 11264 11275 11470 11625 11840 11904 12000 12136 12210 12288 12300 12400 12617 12710 12800 13024 13120 13200 13530 13640 13764 13875 13981 14080 14208 14432 14800 14880 15170 15252 15360 15375 15500 15744 15872 16000 16280 16368 16400 16500 16687 16896 17050 17205 17600 17760 18040 18204 18352 18500 18600 18944 19065 19200 19536 19680 19840 20336 20350 20460 20480 20500 20992 21120 21648 21824 22000 22200 22528 22550 22755 22940 23250 23680 23808 24000 24272 24420 24576 24600 24800 25234 25420 25575 25600 26048 26240 26400 27060 27280 27528 27750 27962 28160 28416 28675 28864 29600 29760 30340 30504 30525 30720 30750 31000 31488 31744 31775 32000 32560 32736 32800 33000 33374 33792 33825 34100 34410 35200 35520 36080 36408 36704 37000 37200 37851 37888 37925 38130 38400 39072 39360 39680 40672 40700 40920 40960 41000 41943 41984 42240 42625 43296 43648 44000 44400 45056 45100 45510 45880 46500 47027 47360 47616 48000 48544 48840 49200 49600 50061 50468 50840 50875 51150 51200 52096 52480 52800 54120 54560 55056 55500 55924 56320 56375 56832 57350 57728 59200 59520 60680 61008 61050 61440 61500 62000 62976 63085 63488 63550 64000 65120 65472 65600 66000 66748 67584 67650 68200 68820 69905 70400 71040 72160 72816 73408 74000 74400 75702 75776 75850 76260 76800 78144 78720 79360 81344 81400 81840 82000 83435 83641 83886 83968 84480 85250 86025 86592 87296 88000 88800 90112 90200 91020 91760 93000 94054 94720 95232 95325 96000 97088 97680 98400 99200 100122 100936 101680 101750 102300 102400 104192 104960 105600 108240 109120 110112 111000 111848 112640 112750 113664 113775 114700 115456 118400 119040 121360 122016 122100 122880 123000 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443056520980480 449043771264000 483334386524160 503473319296000 519206860524000 531667825176576 535955468928000 540312830464000 553820651225600 598725028352000 604167983155200 648375396556800 664584781470720 692275814032000 714607291904000 718470034022400 755209978944000 805557310873600 810469245696000 830730976838400 857528750284800 886113041960960 898087542528000 1006946638592000 1038413721048000 1063335650353152 1071910937856000 1080625660928000 1107641302451200 1197450056704000 1208335966310400 1329169562941440 1384551628064000 1429214583808000 1510419957888000 1620938491392000 1661461953676800 1772226083921920 1796175085056000 2013893277184000 2076827442096000 2143821875712000 2215282604902400 2416671932620800 2658339125882880 2769103256128000 3020839915776000 3241876982784000 3322923907353600 3592350170112000 4027786554368000 4153654884192000 4287643751424000 4430565209804800 5316678251765760 5538206512256000 6041679831552000 6645847814707200 8307309768384000 8861130419609600 11076413024512000 12083359663104000 13291695629414400 16614619536768000 22152826049024000 26583391258828800 33229239073536000 44305652098048000 66458478147072000 132916956294144000
- Sum of all divisors σ(n): 524042537854058496
- Sum of proper divisors (its aliquot sum) s(n): 391125581559914496
- 132916956294144000 is an abundant number, because the sum of its proper divisors (391125581559914496) is greater than itself. Its abundance is 258208625265770496
Bases of 132916956294144000
- Binary: 1110110000011011101000100011111001000100111100000000000002
- Hexadecimal: 0x1D837447C89E000
- Base-36: 10CR4MRFF4LC
Squares and roots of 132916956294144000
- 132916956294144000 squared (1329169562941440002) is 17666917270499386297848692736000000
- 132916956294144000 cubed (1329169562941440003) is 2348232870695224740191929070242837492137984000000000
-
The
square root of 132916956294144000 is 364577778.1134555107 -
The
cube root of 132916956294144000 is 510340.6109834543
Scales and comparisons
How big is 132916956294144000?- 132,916,956,294,144,000 seconds is equal to 4,226,348,071 years, 4 days, 21 hours, 20 minutes.
-
To count from 1 to 132,916,956,294,144,000 would take you about twelve billion, six hundred seventy-nine million, forty-four thousand, two hundred thirteen 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 132916956294144000 cubic inches would be around 42528.4 feet tall.
Recreational maths with 132916956294144000
- 132916956294144000 backwards is 000441492659619231
- 132916956294144000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 132916956294144000's digits is 66
- More coming soon!
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Cite this page
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"Number 132916956294144000 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 132916956294144000 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/132916956294144000/
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Numbermatics. 2024. "Number 132916956294144000 - Facts about the integer". https://numbermatics.com/n/132916956294144000/
The information we have on file for 132916956294144000 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 132916956294144000, math, Factors of 132916956294144000, curriculum, school, college, exams, university, Prime factorization of 132916956294144000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-two quadrillion, nine hundred sixteen trillion, nine hundred fifty-six billion, two hundred ninety-four million, one hundred forty-four thousand.