132819138816000
132,819,138,816,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 132819138816000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3456 divisors.
132819138816000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 132819138816000:
211 × 3 × 53 × 7 × 132 × 29 × 712
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 13 × 13 × 29 × 71 × 71)See below for interesting mathematical facts about the number 132819138816000 from the Numbermatics database.
Names of 132819138816000
- Cardinal: 132819138816000 can be written as One hundred thirty-two trillion, eight hundred nineteen billion, one hundred thirty-eight million, eight hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.32819138816 × 1014
Factors of 132819138816000
Divisors of 132819138816000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 29 30 32 35 39 40 42 48 50 52 56 58 60 64 65 70 71 75 78 80 84 87 91 96 100 104 105 112 116 120 125 128 130 140 142 145 150 156 160 168 169 174 175 182 192 195 200 203 208 210 213 224 232 240 250 256 260 273 280 284 290 300 312 320 325 336 338 348 350 355 364 375 377 384 390 400 406 416 420 426 435 448 455 464 480 497 500 507 512 520 525 546 560 568 580 600 609 624 640 650 672 676 696 700 710 725 728 750 754 768 780 800 812 832 840 845 852 870 875 896 910 923 928 960 975 994 1000 1014 1015 1024 1040 1050 1065 1092 1120 1131 1136 1160 1183 1200 1218 1248 1280 1300 1344 1352 1365 1392 1400 1420 1450 1456 1491 1500 1508 1536 1560 1600 1624 1625 1664 1680 1690 1704 1740 1750 1775 1792 1820 1846 1856 1885 1920 1950 1988 2000 2028 2030 2048 2059 2080 2100 2130 2175 2184 2240 2262 2272 2275 2320 2366 2400 2436 2485 2496 2535 2560 2600 2625 2639 2688 2704 2730 2769 2784 2800 2840 2900 2912 2982 3000 3016 3045 3072 3120 3200 3248 3250 3328 3360 3380 3408 3480 3500 3549 3550 3584 3625 3640 3692 3712 3770 3840 3900 3976 4000 4056 4060 4118 4160 4200 4225 4260 4350 4368 4480 4524 4544 4550 4615 4640 4732 4800 4872 4875 4901 4970 4992 5041 5070 5075 5120 5200 5250 5278 5325 5376 5408 5460 5538 5568 5600 5655 5680 5800 5824 5915 5964 6000 6032 6090 6144 6177 6240 6400 6461 6496 6500 6656 6720 6760 6816 6825 6960 7000 7098 7100 7168 7250 7280 7384 7424 7455 7540 7680 7800 7917 7952 8000 8112 8120 8236 8320 8400 8450 8520 8700 8736 8875 8960 9048 9088 9100 9230 9280 9425 9464 9600 9744 9750 9802 9940 9984 10082 10140 10150 10240 10295 10400 10500 10556 10650 10752 10816 10875 10920 11076 11136 11200 11310 11360 11375 11600 11648 11830 11928 11999 12000 12064 12180 12354 12425 12480 12675 12800 12922 12992 13000 13195 13312 13440 13520 13632 13650 13845 13920 14000 14196 14200 14336 14413 14500 14560 14703 14768 14848 14910 15080 15123 15225 15360 15600 15834 15904 16000 16224 16240 16472 16640 16800 16900 17040 17400 17472 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197647528000 204337136640 207529904400 212851184000 218093824000 221365231360 228998515200 233836512000 237177033600 243258496000 252988835840 255421420800 259412380500 261970688000 265638277632 267241728000 276706539200 286248144000 291910195200 296471292000 305331353600 311782016000 316236044800 319276776000 327140736000 332047847040 340561894400 345883174000 352305408000 354184370176 364887744000 374138419200 379483253760 381664192000 392956032000 395295056000 408674273280 415059808800 425702368000 442730462720 457997030400 467673024000 474354067200 486516992000 510842841600 518824761000 531276555264 553413078400 572496288000 592942584000 623564032000 632472089600 638553552000 654281472000 664095694080 681123788800 691766348000 729775488000 758966507520 763328384000 785912064000 790590112000 830119617600 851404736000 885460925440 915994060800 935346048000 948708134400 1021685683200 1037649522000 1062553110528 1106826156800 1144992576000 1185885168000 1264944179200 1277107104000 1328191388160 1383532696000 1459550976000 1526656768000 1581180224000 1660239235200 1702809472000 1770921850880 1870692096000 1897416268800 2043371366400 2075299044000 2213652313600 2289985152000 2371770336000 2554214208000 2656382776320 2767065392000 3162360448000 3320478470400 3405618944000 3794832537600 4150598088000 4427304627200 4579970304000 4743540672000 5108428416000 5312765552640 5534130784000 6324720896000 6640956940800 8301196176000 8854609254400 9487081344000 10216856832000 11068261568000 13281913881600 16602392352000 18974162688000 22136523136000 26563827763200 33204784704000 44273046272000 66409569408000 132819138816000
- Sum of all divisors σ(n): 573821240428800
- Sum of proper divisors (its aliquot sum) s(n): 441002101612800
- 132819138816000 is an abundant number, because the sum of its proper divisors (441002101612800) is greater than itself. Its abundance is 308182962796800
Bases of 132819138816000
- Binary: 111100011001100010111011001011010101000000000002
- Hexadecimal: 0x78CC5D96A800
- Base-36: 1B2W9PYNEO
Squares and roots of 132819138816000
- 132819138816000 squared (1328191388160002) is 17640923635823877881856000000
- 132819138816000 cubed (1328191388160003) is 2343052285228947066917664111722496000000000
-
The
square root of 132819138816000 is 11524718.6002956271 -
The
cube root of 132819138816000 is 51021.5388729695
Scales and comparisons
How big is 132819138816000?- 132,819,138,816,000 seconds is equal to 4,223,237 years, 40 weeks, 3 days, 2 hours, 40 minutes.
-
To count from 1 to 132,819,138,816,000 would take you about ten million, five hundred fifty-eight thousand and ninety-four 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 132819138816000 cubic inches would be around 4251.8 feet tall.
Recreational maths with 132819138816000
- 132819138816000 backwards is 000618831918231
- The number of decimal digits it has is: 15
- The sum of 132819138816000's digits is 51
- More coming soon!
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MLA style:
"Number 132819138816000 - Facts about the integer". Numbermatics.com. 2024. Web. 26 September 2024.
APA style:
Numbermatics. (2024). Number 132819138816000 - Facts about the integer. Retrieved 26 September 2024, from https://numbermatics.com/n/132819138816000/
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The information we have on file for 132819138816000 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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