131994435168000
131,994,435,168,000 is an even composite number composed of four prime numbers multiplied together.
What does the number 131994435168000 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 864 divisors.
131994435168000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 131994435168000:
28 × 35 × 53 × 2573
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 257 × 257 × 257)See below for interesting mathematical facts about the number 131994435168000 from the Numbermatics database.
Names of 131994435168000
- Cardinal: 131994435168000 can be written as One hundred thirty-one trillion, nine hundred ninety-four billion, four hundred thirty-five million, one hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.31994435168 × 1014
Factors of 131994435168000
Divisors of 131994435168000
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 120 125 128 135 144 150 160 162 180 192 200 216 225 240 243 250 256 257 270 288 300 320 324 360 375 384 400 405 432 450 480 486 500 514 540 576 600 640 648 675 720 750 768 771 800 810 864 900 960 972 1000 1028 1080 1125 1152 1200 1215 1280 1285 1296 1350 1440 1500 1542 1600 1620 1728 1800 1920 1944 2000 2025 2056 2160 2250 2304 2313 2400 2430 2570 2592 2700 2880 3000 3084 3200 3240 3375 3456 3600 3840 3855 3888 4000 4050 4112 4320 4500 4626 4800 4860 5140 5184 5400 5760 6000 6075 6168 6400 6425 6480 6750 6912 6939 7200 7710 7776 8000 8100 8224 8640 9000 9252 9600 9720 10125 10280 10368 10800 11520 11565 12000 12150 12336 12850 12960 13500 13878 14400 15420 15552 16000 16200 16448 17280 18000 18504 19200 19275 19440 20250 20560 20736 20817 21600 23130 24000 24300 24672 25700 25920 27000 27756 28800 30375 30840 31104 32000 32125 32400 32896 34560 34695 36000 37008 38550 38880 40500 41120 41634 43200 46260 48000 48600 49344 51400 51840 54000 55512 57600 57825 60750 61680 62208 62451 64250 64800 65792 66049 69390 72000 74016 77100 77760 81000 82240 83268 86400 92520 96000 96375 97200 98688 102800 103680 104085 108000 111024 115650 121500 123360 124902 128500 129600 132098 138780 144000 148032 154200 155520 162000 164480 166536 172800 173475 185040 192750 194400 197376 198147 205600 208170 216000 222048 231300 243000 246720 249804 257000 259200 264196 277560 288000 289125 296064 308400 311040 312255 324000 328960 330245 333072 346950 370080 385500 388800 396294 411200 416340 432000 444096 462600 486000 493440 499608 514000 518400 520425 528392 555120 578250 592128 594441 616800 624510 648000 660490 666144 693900 740160 771000 777600 792588 822400 832680 864000 867375 888192 925200 972000 986880 990735 999216 1028000 1040850 1056784 1110240 1156500 1188882 1233600 1249020 1296000 1320980 1332288 1387800 1480320 1542000 1555200 1561275 1585176 1644800 1651225 1665360 1734750 1776384 1783323 1850400 1944000 1981470 1998432 2056000 2081700 2113568 2220480 2313000 2377764 2467200 2498040 2592000 2602125 2641960 2664576 2775600 2960640 2972205 3084000 3122550 3170352 3302450 3330720 3469500 3566646 3700800 3888000 3962940 3996864 4112000 4163400 4227136 4440960 4626000 4755528 4934400 4953675 4996080 5204250 5283920 5329152 5349969 5551200 5944410 6168000 6245100 6340704 6604900 6661440 6939000 7133292 7401600 7776000 7806375 7925880 7993728 8224000 8256125 8326800 8454272 8881920 8916615 9252000 9511056 9907350 9992160 10408500 10567840 10699938 11102400 11888820 12336000 12490200 12681408 13209800 13322880 13878000 14266584 14803200 14861025 15612750 15851760 15987456 16049907 16512250 16653600 16908544 16974593 17833230 18504000 19022112 19814700 19984320 20817000 21135680 21399876 22204800 23777640 24672000 24768375 24980400 25362816 26419600 26645760 26749845 27756000 28533168 29722050 31225500 31703520 32099814 33024500 33307200 33949186 35666460 37008000 38044224 39629400 39968640 41634000 42271360 42799752 44409600 44583075 47555280 49536750 49960800 50725632 50923779 52839200 53499690 55512000 57066336 59444100 62451000 63407040 64199628 66049000 66614400 67898372 71332920 74016000 74305125 76088448 79258800 79937280 80249535 83268000 84542720 84872965 85599504 89166150 95110560 99073500 99921600 101847558 105678400 106999380 111024000 114132672 118888200 124902000 126814080 128399256 132098000 133228800 133749225 135796744 142665840 148610250 152176896 152771337 158517600 160499070 166536000 169745930 171199008 178332300 190221120 198147000 199843200 203695116 211356800 213998760 222048000 222915375 228265344 237776400 249804000 253628160 254618895 256798512 264196000 267498450 271593488 285331680 297220500 305542674 317035200 320998140 333072000 339491860 342398016 356664600 380442240 396294000 399686400 401247675 407390232 422713600 424364825 427997520 445830750 456530688 458314011 475552800 499608000 509237790 513597024 528392000 534996900 543186976 570663360 594441000 611085348 634070400 641996280 666144000 668746125 678983720 684796032 713329200 760884480 763856685 792588000 802495350 814780464 848729650 855995040 891661500 916628022 951105600 999216000 1018475580 1027194048 1056784000 1069993800 1086373952 1141326720 1188882000 1222170696 1268140800 1273094475 1283992560 1337492250 1357967440 1369592064 1374942033 1426658400 1527713370 1585176000 1604990700 1629560928 1697459300 1711990080 1783323000 1833256044 1902211200 1998432000 2006238375 2036951160 2054388096 2113568000 2121824125 2139987600 2172747904 2282653440 2291570055 2377764000 2444341392 2546188950 2567985120 2674984500 2715934880 2749884066 2853316800 3055426740 3170352000 3209981400 3259121856 3394918600 3423980160 3566646000 3666512088 3804422400 3819283425 4012476750 4073902320 4108776192 4124826099 4243648250 4279975200 4345495808 4583140110 4755528000 4888682784 5092377900 5135970240 5349969000 5431869760 5499768132 5706633600 6110853480 6340704000 6365472375 6419962800 6518243712 6789837200 6847960320 6874710165 7133292000 7333024176 7638566850 8024953500 8147804640 8249652198 8487296500 8559950400 9166280220 9511056000 9777365568 10184755800 10271940480 10699938000 10863739520 10999536264 11413267200 11457850275 12221706960 12730944750 12839925600 13036487424 13579674400 13749420330 14266584000 14666048352 15277133700 16049907000 16295609280 16499304396 16974593000 17119900800 18332560440 19022112000 19096417125 19554731136 20369511600 20543880960 20624130495 21399876000 21727479040 21999072528 22915700550 24443413920 25461889500 25679851200 27159348800 27498840660 28533168000 29332096704 30554267400 32099814000 32591218560 32998608792 33949186000 34239801600 34373550825 36665120880 38192834250 39109462272 40739023200 41248260990 42799752000 43998145056 45831401100 48886827840 50923779000 51359702400 54318697600 54997681320 57066336000 57289251375 58664193408 61108534800 64199628000 65182437120 65997217584 67898372000 68747101650 73330241760 76385668500 81478046400 82496521980 85599504000 87996290112 91662802200 97773655680 101847558000 102719404800 103120652475 108637395200 109995362640 114578502750 117328386816 122217069600 128399256000 131994435168 135796744000 137494203300 146660483520 152771337000 162956092800 164993043960 171199008000 171867754125 175992580224 183325604400 195547311360 203695116000 206241304950 219990725280 229157005500 244434139200 256798512000 263988870336 271593488000 274988406600 293320967040 305542674000 325912185600 329986087920 343735508250 351985160448 366651208800 407390232000 412482609900 439981450560 458314011000 488868278400 513597024000 515603262375 527977740672 543186976000 549976813200 586641934080 611085348000 659972175840 687471016500 733302417600 814780464000 824965219800 879962901120 916628022000 977736556800 1031206524750 1055955481344 1099953626400 1222170696000 1319944351680 1374942033000 1466604835200 1629560928000 1649930439600 1759925802240 1833256044000 2062413049500 2199907252800 2444341392000 2639888703360 2749884066000 2933209670400 3299860879200 3666512088000 4124826099000 4399814505600 4888682784000 5279777406720 5499768132000 6599721758400 7333024176000 8249652198000 8799629011200 10999536264000 13199443516800 14666048352000 16499304396000 21999072528000 26398887033600 32998608792000 43998145056000 65997217584000 131994435168000
- Sum of all divisors σ(n): 494469387921600
- Sum of proper divisors (its aliquot sum) s(n): 362474952753600
- 131994435168000 is an abundant number, because the sum of its proper divisors (362474952753600) is greater than itself. Its abundance is 230480517585600
Bases of 131994435168000
- Binary: 111100000001100010110010110101110100111000000002
- Hexadecimal: 0x780C596BA700
- Base-36: 1ASDEMPC00
Squares and roots of 131994435168000
- 131994435168000 squared (1319944351680002) is 17422530915319355188224000000
- 131994435168000 cubed (1319944351680003) is 2299677127364596326407597205061632000000000
-
The
square root of 131994435168000 is 11488883.1122959903 -
The
cube root of 131994435168000 is 50915.7181779551
Scales and comparisons
How big is 131994435168000?- 131,994,435,168,000 seconds is equal to 4,197,014 years, 39 weeks, 1 day.
-
To count from 1 to 131,994,435,168,000 would take you about ten million, four hundred ninety-two thousand, five hundred thirty-six 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 131994435168000 cubic inches would be around 4243 feet tall.
Recreational maths with 131994435168000
- 131994435168000 backwards is 000861534499131
- 131994435168000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 131994435168000's digits is 54
- More coming soon!
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The information we have on file for 131994435168000 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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