132825109201170750
132,825,109,201,170,750 is an even composite number composed of nine prime numbers multiplied together.
What does the number 132825109201170750 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 2048 divisors.
132825109201170750 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 132825109201170750:
2 × 33 × 53 × 7 × 13 × 19 × 31 × 2801 × 131071
(2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 13 × 19 × 31 × 2801 × 131071)See below for interesting mathematical facts about the number 132825109201170750 from the Numbermatics database.
Names of 132825109201170750
- Cardinal: 132825109201170750 can be written as One hundred thirty-two quadrillion, eight hundred twenty-five trillion, one hundred nine billion, two hundred one million, one hundred seventy thousand, seven hundred fifty.
Scientific notation
- Scientific notation: 1.3282510920117075 × 1017
Factors of 132825109201170750
Divisors of 132825109201170750
- Number of divisors d(n): 2048
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Complete list of divisors:
1 2 3 5 6 7 9 10 13 14 15 18 19 21 25 26 27 30 31 35 38 39 42 45 50 54 57 62 63 65 70 75 78 90 91 93 95 105 114 117 125 126 130 133 135 150 155 171 175 182 186 189 190 195 210 217 225 234 247 250 266 270 273 279 285 310 315 325 342 350 351 375 378 390 399 403 434 450 455 465 475 494 513 525 546 558 570 585 589 630 650 651 665 675 702 741 750 775 798 806 819 837 855 875 910 930 945 950 975 1026 1050 1085 1125 1170 1178 1197 1209 1235 1302 1330 1350 1365 1395 1425 1482 1550 1575 1625 1638 1674 1710 1729 1750 1755 1767 1890 1950 1953 1995 2015 2170 2223 2250 2275 2325 2375 2394 2418 2457 2470 2565 2625 2730 2790 2801 2821 2850 2925 2945 3150 3250 3255 3325 3375 3458 3510 3534 3591 3627 3705 3875 3906 3990 4030 4095 4123 4185 4275 4446 4550 4650 4725 4750 4875 4914 5130 5187 5250 5301 5425 5602 5642 5850 5859 5890 5985 6045 6175 6510 6650 6669 6750 6825 6975 7125 7182 7254 7410 7657 7750 7875 8190 8246 8370 8403 8463 8550 8645 8775 8835 9450 9750 9765 9975 10075 10374 10602 10850 10881 11115 11375 11625 11718 11970 12090 12285 12350 12369 12825 13338 13650 13950 14005 14105 14250 14625 14725 15314 15561 15750 15903 16275 16625 16806 16926 17290 17550 17670 17955 18135 18525 19530 19607 19950 20150 20475 20615 20925 21375 21762 22230 22750 22971 23250 23625 24570 24738 25209 25389 25650 25935 26505 27125 28010 28210 29250 29295 29450 29925 30225 30875 31122 31806 32550 33250 33345 34125 34875 35910 36270 36413 37050 37107 38285 39214 40950 41230 41850 42015 42315 42750 43225 43875 44175 45942 46683 47250 48825 49875 50375 50418 50778 51870 53010 53219 53599 54250 54405 55575 58590 58821 59850 60450 61425 61750 61845 64125 66690 68250 68913 69750 70025 70525 72826 73625 74214 75627 76167 76570 77805 79515 81375 84030 84630 86450 86831 87750 88350 89775 90675 92625 93366 97650 98035 99750 100750 102375 103075 104625 106438 107198 108810 109239 111150 111321 114855 117642 122850 123690 126045 126945 128250 129675 131071 132525 137826 140050 141050 146475 147250 149625 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1165132536852375 1265001040011150 1398159044222850 1428226980657750 1459616584628250 1475834546679675 1702886015399625 1771001456015610 1897501560016725 2043463218479550 2108335066685250 2142340470986625 2330265073704750 2459724244466125 2656502184023415 2951669093359350 3162502600027875 3405772030799250 3495397610557125 3795003120033450 4284680941973250 4427503640039025 4919448488932250 5108658046198875 5313004368046830 6325005200055750 6990795221114250 7379172733398375 8855007280078050 9487507800083625 10217316092397750 13282510920117075 14758345466796750 18975015600167250 22137518200195125 26565021840234150 44275036400390250 66412554600585375 132825109201170750
- Sum of all divisors σ(n): 492812707980902400
- Sum of proper divisors (its aliquot sum) s(n): 359987598779731650
- 132825109201170750 is an abundant number, because the sum of its proper divisors (359987598779731650) is greater than itself. Its abundance is 227162489578560900
Bases of 132825109201170750
- Binary: 1110101111110001110111011101010110011000000110001001111102
- Hexadecimal: 0x1D7E3BBAB30313E
- Base-36: 10BUKKSFOOJI
Squares and roots of 132825109201170750
- 132825109201170750 squared (1328251092011707502) is 17642509634302934633193170655562500
- 132825109201170750 cubed (1328251092011707503) is 2343368268758994326688704997741135554469999796875000
-
The
square root of 132825109201170750 is 364451792.6985278941 -
The
cube root of 132825109201170750 is 510223.0335535155
Scales and comparisons
How big is 132825109201170750?- 132,825,109,201,170,750 seconds is equal to 4,223,427,617 years, 29 weeks, 7 hours, 52 minutes, 30 seconds.
-
To count from 1 to 132,825,109,201,170,750 would take you about twelve billion, six hundred seventy million, two hundred eighty-two thousand, eight hundred fifty-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 132825109201170750 cubic inches would be around 42518.6 feet tall.
Recreational maths with 132825109201170750
- 132825109201170750 backwards is 057071102901528231
- 132825109201170750 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 132825109201170750's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 132825109201170750 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
APA style:
Numbermatics. (2024). Number 132825109201170750 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/132825109201170750/
Chicago style:
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The information we have on file for 132825109201170750 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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