131430364128000
131,430,364,128,000 is an even composite number composed of seven prime numbers multiplied together.
131430364128000 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 131430364128000:
28 × 35 × 53 × 7 × 43 × 233 × 241
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 43 × 233 × 241)See below for interesting mathematical facts about the number 131430364128000 from the Numbermatics database.
Names of 131430364128000
- Cardinal: 131430364128000 can be written as One hundred thirty-one trillion, four hundred thirty billion, three hundred sixty-four million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.31430364128 × 1014
Factors of 131430364128000
Divisors of 131430364128000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 43 45 48 50 54 56 60 63 64 70 72 75 80 81 84 86 90 96 100 105 108 112 120 125 126 128 129 135 140 144 150 160 162 168 172 175 180 189 192 200 210 215 216 224 225 233 240 241 243 250 252 256 258 270 280 288 300 301 315 320 324 336 344 350 360 375 378 384 387 400 405 420 430 432 448 450 466 480 482 486 500 504 516 525 540 560 567 576 600 602 630 640 645 648 672 675 688 699 700 720 723 750 756 768 774 800 810 840 860 864 875 896 900 903 932 945 960 964 972 1000 1008 1032 1050 1075 1080 1120 1125 1134 1152 1161 1165 1200 1204 1205 1215 1260 1280 1290 1296 1344 1350 1376 1398 1400 1440 1446 1500 1505 1512 1548 1575 1600 1620 1631 1680 1687 1701 1720 1728 1750 1792 1800 1806 1864 1890 1920 1928 1935 1944 2000 2016 2025 2064 2097 2100 2150 2160 2169 2240 2250 2268 2304 2322 2330 2400 2408 2410 2430 2520 2580 2592 2625 2688 2700 2709 2752 2796 2800 2835 2880 2892 3000 3010 3024 3096 3150 3200 3225 3240 3262 3360 3374 3375 3402 3440 3456 3483 3495 3500 3600 3612 3615 3728 3780 3840 3856 3870 3888 4000 4032 4050 4128 4194 4200 4300 4320 4338 4480 4500 4515 4536 4644 4660 4725 4800 4816 4820 4860 4893 5040 5061 5160 5184 5250 5375 5376 5400 5418 5504 5592 5600 5670 5760 5784 5805 5825 6000 6020 6025 6048 6075 6192 6291 6300 6400 6450 6480 6507 6524 6720 6748 6750 6804 6880 6912 6966 6990 7000 7200 7224 7230 7456 7525 7560 7712 7740 7776 7875 8000 8064 8100 8127 8155 8256 8388 8400 8435 8505 8600 8640 8676 8960 9000 9030 9072 9288 9320 9450 9600 9632 9640 9675 9720 9786 10019 10080 10122 10125 10320 10363 10368 10449 10485 10500 10750 10800 10836 10845 11008 11184 11200 11340 11520 11568 11610 11650 12000 12040 12050 12096 12150 12384 12582 12600 12900 12960 13014 13048 13440 13496 13500 13545 13608 13760 13932 13980 14000 14175 14400 14448 14460 14679 14912 15050 15120 15183 15424 15480 15552 15750 16000 16125 16128 16200 16254 16310 16512 16776 16800 16870 17010 17200 17280 17352 17415 17475 18000 18060 18075 18144 18576 18640 18873 18900 19200 19264 19280 19350 19440 19521 19572 20038 20160 20244 20250 20640 20726 20736 20898 20970 21000 21500 21600 21672 21690 22368 22400 22575 22680 23136 23220 23300 23625 24000 24080 24100 24192 24300 24381 24465 24768 25164 25200 25305 25800 25920 26028 26096 26880 26992 27000 27090 27216 27520 27864 27960 28000 28350 28800 28896 28920 29025 29125 29358 29824 30057 30100 30125 30240 30366 30375 30848 30960 31089 31104 31455 31500 32000 32250 32400 32508 32535 32620 33024 33552 33600 33740 34020 34400 34560 34704 34830 34950 36000 36120 36150 36288 37152 37280 37625 37746 37800 38528 38560 38700 38880 39042 39144 40076 40320 40488 40500 40635 40775 41280 41452 41796 41940 42000 42175 42525 43000 43200 43344 43380 44037 44736 44800 45150 45360 45549 46272 46440 46600 47250 48000 48160 48200 48375 48384 48600 48762 48930 49536 50095 50328 50400 50610 51600 51815 51840 52056 52192 52245 52425 53984 54000 54180 54225 54432 55040 55728 55920 56000 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25034355072 25353079500 25471000800 25969248000 26077453200 26860896000 27043284800 27267710400 27290358000 27381325860 27815950080 28203940800 28301112000 28974948000 29109715200 29206747584 29337134850 30297456000 30423695400 30565200960 31292943840 31337712000 31838751000 32451941760 32596816500 32857591032 33804106000 33961334400 34084638000 34226657325 34769937600 35254926000 36356947200 36387144000 36508434480 37551532608 37605254400 37734816000 38029619250 38206501200 38633264000 38942330112 38953872000 39116179800 40291344000 40564927200 40753601280 41071988790 41723925120 42451668000 43462422000 43664572800 43810121376 45446184000 45635543100 46359916800 46939415760 47006568000 47758126500 48516192000 48677912640 48895224750 50068710144 50706159000 50942001600 52154906400 54086569600 54535420800 54580716000 54762651720 56407881600 56602224000 57044428875 57949896000 58413495168 58674269700 60594912000 60847390800 61130401920 62585887680 62675424000 63677502000 64903883520 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205359943950 208619625600 218322864000 219050606880 228177715500 231799584000 234697078800 243389563200 250343550720 254710008000 260774532000 262860728256 270432848000 272677104000 273813258600 282039408000 292067475840 293371348500 304236954000 305652009600 312929438400 324519417600 328575910320 339613344000 342266573250 347699376000 350480971008 365084344800 375515326080 382065012000 391161798000 405649272000 410719887900 417239251200 436645728000 438101213760 456355431000 469394157600 486779126400 509420016000 513399859875 521549064000 525721456512 540865696000 545354208000 547626517200 564078816000 584134951680 586742697000 608473908000 611304019200 625858876800 657151820640 684533146500 695398752000 730168689600 751030652160 764130024000 782323596000 811298544000 821439775800 876202427520 912710862000 938788315200 973558252800 1018840032000 1026799719750 1043098128000 1051442913024 1095253034400 1173485394000 1216947816000 1251717753600 1314303641280 1369066293000 1460337379200 1528260048000 1564647192000 1622597088000 1642879551600 1752404855040 1825421724000 1877576630400 2053599439500 2086196256000 2190506068800 2346970788000 2433895632000 2628607282560 2738132586000 2920674758400 3056520096000 3129294384000 3285759103200 3650843448000 3755153260800 4107198879000 4381012137600 4693941576000 4867791264000 5257214565120 5476265172000 6258588768000 6571518206400 7301686896000 8214397758000 8762024275200 9387883152000 10952530344000 13143036412800 14603373792000 16428795516000 18775766304000 21905060688000 26286072825600 32857591032000 43810121376000 65715182064000 131430364128000
- Sum of all divisors σ(n): 578389991122944
- Sum of proper divisors (its aliquot sum) s(n): 446959626994944
- 131430364128000 is an abundant number, because the sum of its proper divisors (446959626994944) is greater than itself. Its abundance is 315529262866944
Bases of 131430364128000
- Binary: 111011110001001000001000010101010100011000000002
- Hexadecimal: 0x7789042AA300
- Base-36: 1AL69XDC00
Squares and roots of 131430364128000
- 131430364128000 squared (1314303641280002) is 17273940614818669200384000000
- 131430364128000 cubed (1314303641280003) is 2270320304931065885698847717425152000000000
-
The
square root of 131430364128000 is 11464308.2708029097 -
The
cube root of 131430364128000 is 50843.0860989055
Scales and comparisons
How big is 131430364128000?- 131,430,364,128,000 seconds is equal to 4,179,079 years, 2 weeks.
-
To count from 1 to 131,430,364,128,000 would take you about ten million, four hundred forty-seven thousand, six hundred ninety-seven 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 131430364128000 cubic inches would be around 4236.9 feet tall.
Recreational maths with 131430364128000
- 131430364128000 backwards is 000821463034131
- 131430364128000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 131430364128000's digits is 36
- More coming soon!
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Cite this page
MLA style:
"Number 131430364128000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 June 2024.
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Numbermatics. (2024). Number 131430364128000 - Facts about the integer. Retrieved 27 June 2024, from https://numbermatics.com/n/131430364128000/
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The information we have on file for 131430364128000 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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