131142539992800
131,142,539,992,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 131142539992800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
131142539992800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 131142539992800:
25 × 3 × 52 × 72 × 173 × 613
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 17 × 17 × 17 × 61 × 61 × 61)See below for interesting mathematical facts about the number 131142539992800 from the Numbermatics database.
Names of 131142539992800
- Cardinal: 131142539992800 can be written as One hundred thirty-one trillion, one hundred forty-two billion, five hundred thirty-nine million, nine hundred ninety-two thousand, eight hundred.
Scientific notation
- Scientific notation: 1.311425399928 × 1014
Factors of 131142539992800
Divisors of 131142539992800
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 25 28 30 32 34 35 40 42 48 49 50 51 56 60 61 68 70 75 80 84 85 96 98 100 102 105 112 119 120 122 136 140 147 150 160 168 170 175 183 196 200 204 210 224 238 240 244 245 255 272 280 289 294 300 305 336 340 350 357 366 392 400 408 420 425 427 476 480 488 490 510 525 544 560 578 588 595 600 610 672 680 700 714 732 735 784 800 816 833 840 850 854 867 915 952 976 980 1020 1037 1050 1120 1156 1176 1190 1200 1220 1225 1275 1281 1360 1400 1428 1445 1464 1470 1525 1568 1632 1666 1680 1700 1708 1734 1785 1830 1904 1952 1960 2023 2040 2074 2100 2135 2312 2352 2380 2400 2440 2450 2499 2550 2562 2720 2800 2856 2890 2928 2940 2975 2989 3050 3111 3332 3360 3400 3416 3468 3570 3660 3675 3721 3808 3920 4046 4080 4148 4165 4200 4270 4335 4575 4624 4704 4760 4880 4900 4913 4998 5100 5124 5185 5600 5712 5780 5856 5880 5950 5978 6069 6100 6222 6405 6664 6800 6832 6936 7140 7225 7259 7320 7350 7442 7840 8092 8160 8296 8330 8400 8540 8670 8925 8967 9150 9248 9520 9760 9800 9826 9996 10115 10200 10248 10370 10675 11163 11424 11560 11760 11900 11956 12138 12200 12444 12495 12810 13328 13600 13664 13872 14161 14280 14450 14518 14640 14700 14739 14884 14945 15555 16184 16592 16660 16800 17080 17340 17629 17850 17934 18300 18605 19040 19600 19652 19992 20230 20400 20496 20740 20825 21350 21675 21777 22326 23120 23520 23800 23912 24276 24400 24565 24888 24990 25620 25925 26047 26656 27744 28322 28560 28900 29036 29280 29400 29478 29768 29890 30345 31110 32025 32368 33184 33320 34160 34391 34680 35258 35700 35868 36295 36600 37210 39200 39304 39984 40460 40800 40992 41480 41650 42483 42700 43350 43554 44652 44835 46240 47600 47824 48552 48800 49130 49776 49980 50575 50813 51240 51850 52094 52887 55815 56644 57120 57800 58072 58800 58956 59536 59780 60690 62220 62475 63257 64050 64736 66640 68320 68782 69360 70516 70805 71400 71736 72590 73200 73695 74420 74725 77775 78141 78608 79968 80920 82960 83300 84966 85400 86700 87108 88145 89304 89670 93025 95200 95648 97104 98260 99552 99960 101150 101626 102480 103173 103700 104188 105774 108885 111630 113288 115600 116144 117600 117912 119072 119560 121380 122825 123403 124440 124950 126514 128100 130235 133280 137564 138720 141032 141610 142800 143472 145180 146400 147390 148840 149450 151725 152439 155550 156282 157216 161840 165920 166600 169932 170800 171955 173400 174216 176290 178608 179340 181475 182329 186050 189771 194208 196520 199920 202300 203252 204960 206346 207400 208376 211548 212415 217770 223260 224175 226576 226981 231200 232288 235824 239120 240737 242760 245650 246806 248880 249900 253028 254065 256200 260470 264435 275128 279075 282064 283220 285600 286944 290360 294780 297680 298900 299693 303450 304878 311100 312564 316285 323680 333200 339864 341600 343910 346800 348432 352580 354025 357216 358680 362950 364658 368475 370209 372100 379542 390705 393040 399840 404600 406504 412692 414800 416752 423096 424830 435540 440725 442799 446520 448350 453152 453962 471648 478240 481474 485520 491300 493612 497760 499800 506056 508130 512400 515865 520940 528870 544425 546987 550256 558150 564128 566440 580720 589560 595360 597800 599386 606900 609756 617015 622200 625128 632570 651175 666400 679728 680943 687820 693600 696864 705160 708050 717360 722211 725900 729316 736950 740418 744200 759084 762195 781410 786080 809200 813008 825384 829600 833504 846192 849660 859775 863821 871080 881450 885598 893040 896700 899079 907924 911645 948855 962948 971040 982600 987224 999600 1012112 1016260 1024800 1031730 1041880 1057740 1062075 1075369 1088850 1093974 1100512 1116300 1132880 1134905 1161440 1179120 1195600 1198772 1203685 1213800 1219512 1234030 1244400 1250256 1265140 1270325 1302350 1322175 1328397 1359456 1361886 1375640 1410320 1416100 1434720 1444422 1451800 1458632 1473900 1480836 1488400 1498465 1518168 1524390 1562820 1581425 1588867 1618400 1626016 1650768 1692384 1699320 1719550 1727642 1742160 1762900 1771196 1786080 1793400 1798158 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464938950 469918624 476660100 495934880 503484240 511875644 516177120 518292600 524780072 526930810 531358800 533859312 540214780 544754400 548438190 556103450 564568725 567225519 577768800 578801550 585000736 587398280 602206640 617388320 619918600 629355300 632316972 635546800 639844555 645221400 648257736 655975090 667324140 675268475 691056800 704877936 719263200 722647968 731250920 734247850 743902320 752758300 756300692 762656160 767813466 771735400 787170108 790396215 810322170 834155175 839140400 843089296 860295200 864343648 877501104 881097420 889765520 895782377 903309960 914063650 918365126 926082480 929877900 945375865 953320200 983962635 1006968480 1023751288 1036585200 1049560144 1053861620 1062717600 1067718624 1080429560 1096876380 1101371775 1112206900 1115157653 1129137450 1134451038 1157603100 1174796560 1204413280 1239837200 1258710600 1264633944 1271093600 1279689110 1290442800 1296515472 1311950180 1317327025 1334648280 1350536950 1371095475 1377547689 1409755872 1462501840 1468495700 1487804640 1505516600 1512601384 1535626932 1543470800 1574340216 1580792430 1620644340 1639937725 1668310350 1678280800 1686178592 1755002208 1762194840 1779531040 1791564754 1806619920 1828127300 1836730252 1852164960 1859755800 1890751730 1906640400 1919533665 1967925270 2025805425 2047502576 2073170400 2099120288 2107723240 2160859120 2193752760 2202743550 2224413800 2230315306 2258274900 2268902076 2295912815 2315206200 2349593120 2479674400 2517421200 2529267888 2559378220 2580885600 2593030944 2623900360 2634654050 2669296560 2687347131 2701073900 2742190950 2755095378 2836127595 2925003680 2936991400 3011033200 3025202768 3071253864 3086941600 3148680432 3161584860 3199222775 3214277941 3241288680 3279875450 3336620700 3345472959 3524389680 3583129508 3613239840 3656254600 3673460504 3719511600 3781503460 3813280800 3839067330 3935850540 3951981075 4051610850 4095005152 4215446480 4321718240 4387505520 4405487100 4448827600 4460630612 4478911885 4516549800 4537804152 4591825630 4630412400 4726879325 4919813175 5034842400 5058535776 5118756440 5247800720 5269308100 5338593120 5374694262 5402147800 5484381900 5510190756 5575788265 5672255190 5873982800 6022066400 6050405536 6142507728 6297360864 6323169720 6398445550 6428555882 6482577360 6559750900 6673241400 6690945918 6887738445 7048779360 7166259016 7312509200 7346921008 7439023200 7563006920 7678134660 7806103571 7871701080 7903962150 8103221700 8430892960 8775011040 8810974200 8897655200 8921261224 8957823770 9033099600 9075608304 9183651260 9260824800 9453758650 9597668325 9642833823 9839626350 10237512880 10495601440 10538616200 10749388524 10804295600 10968763800 11020381512 11151576530 11344510380 11479564075 11747965600 12285015456 12646339440 12796891100 12857111764 12965154720 13119501800 13346482800 13381891836 13436735655 13775476890 14180637975 14332518032 14625018400 14693842016 15126013840 15356269320 15612207142 15743402160 15807924300 16071389705 16206443400 16727364795 17621948400 17842522448 17915647540 18066199200 18151216608 18367302520 18907517300 19195336650 19285667646 19679252700 20475025760 21077232400 21498777048 21608591200 21937527600 22040763024 22303153060 22394559425 22689020760 22959128150 23418310713 25292678880 25593782200 25714223528 26239003600 26692965600 26763783672 26873471310 27550953780 27878941325 28361275950 28665036064 30252027680 30712538640 31224414284 31486804320 31615848600 32142779410 32412886800 33454729590 34438692225 35243896800 35685044896 35831295080 36734605040 37815034600 38390673300 38571335292 39030517855 39358505400 42154464800 42997554096 43875055200 44081526048 44606306120 44789118850 45378041520 45918256300 46836621426 48214169115 51187564400 51428447056 52478007200 53527567344 53746942620 54642724997 55101907560 55757882650 56722551900 61425077280 62448828568 63231697200 64285558820 64825773600 66909459180 67183678275 68877384450 71662590160 73469210080 75630069200 76781346600 77142670584 78061035710 78717010800 80356948525 83636823975 85995108192 89212612240 89578237700 90756083040 91836512600 93673242852 96428338230 102375128800 102856894112 107055134688 107493885240 109285449994 110203815120 111515765300 113445103800 117091553565 124897657136 126463394400 128571117640 133818918360 134367356550 137754768900 143325180320 151260138400 153562693200 154285341168 156122071420 157434021600 160713897050 163928174991 167273647950 178425224480 179156475400 183673025200 187346485704 192856676460 195152589275 214987770480 218570899988 220407630240 223031530600 226890207600 234183107130 241070845575 249795314272 257142235280 267637836720 268734713100 273213624985 275509537800 307125386400 308570682336 312244142840 321427794100 327856349982 334547295900 358312950800 367346050400 374692971408 385713352920 390305178550 429975540960 437141799976 446063061200 453780415200 468366214260 482141691150 514284470560 535275673440 537469426200 546427249970 551019075600 585457767825 624488285680 642855588200 655712699964 669094591800 716625901600 749385942816 771426705840 780610357100 819640874955 874283599952 892126122400 936732428520 964283382300 1074938852400 1092854499940 1102038151200 1170915535650 1248976571360 1285711176400 1311425399928 1338189183600 1366068124925 1542853411680 1561220714200 1639281749910 1748567199904 1873464857040 1928566764600 2149877704800 2185708999880 2341831071300 2571422352800 2622850799856 2676378367200 2732136249850 3122441428400 3278563499820 3746929714080 3857133529200 4098204374775 4371417999760 4683662142600 5245701599712 5464272499700 6244882856800 6557126999640 7714267058400 8196408749550 8742835999520 9367324285200 10928544999400 13114253999280 16392817499100 18734648570400 21857089998800 26228507998560 32785634998200 43714179997600 65571269996400 131142539992800
- Sum of all divisors σ(n): 536383798614720
- Sum of proper divisors (its aliquot sum) s(n): 405241258621920
- 131142539992800 is an abundant number, because the sum of its proper divisors (405241258621920) is greater than itself. Its abundance is 274098718629120
Bases of 131142539992800
- Binary: 111011101000110000000001000001011011110111000002
- Hexadecimal: 0x77460082DEE0
- Base-36: 1AHI1UB7XC
Squares and roots of 131142539992800
- 131142539992800 squared (1311425399928002) is 17198365795763147424051840000
- 131142539992800 cubed (1311425399928003) is 2255437374181672157855120727820426752000000
-
The
square root of 131142539992800 is 11451748.3378216097 -
The
cube root of 131142539992800 is 50805.9445986319
Scales and comparisons
How big is 131142539992800?- 131,142,539,992,800 seconds is equal to 4,169,927 years, 6 weeks, 2 days, 3 hours, 20 minutes.
-
To count from 1 to 131,142,539,992,800 would take you about ten million, four hundred twenty-four thousand, eight hundred seventeen 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 131142539992800 cubic inches would be around 4233.8 feet tall.
Recreational maths with 131142539992800
- 131142539992800 backwards is 008299935241131
- The number of decimal digits it has is: 15
- The sum of 131142539992800's digits is 57
- More coming soon!
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"Number 131142539992800 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
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Numbermatics. (2024). Number 131142539992800 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/131142539992800/
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The information we have on file for 131142539992800 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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