131928384000
131,928,384,000 is an even composite number composed of six prime numbers multiplied together.
131928384000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 131928384000:
29 × 3 × 53 × 72 × 37 × 379
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 37 × 379)See below for interesting mathematical facts about the number 131928384000 from the Numbermatics database.
Names of 131928384000
- Cardinal: 131928384000 can be written as One hundred thirty-one billion, nine hundred twenty-eight million, three hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.31928384 × 1011
Factors of 131928384000
Divisors of 131928384000
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 37 40 42 48 49 50 56 60 64 70 74 75 80 84 96 98 100 105 111 112 120 125 128 140 147 148 150 160 168 175 185 192 196 200 210 222 224 240 245 250 256 259 280 294 296 300 320 336 350 370 375 379 384 392 400 420 444 448 480 490 500 512 518 525 555 560 588 592 600 640 672 700 735 740 750 758 768 777 784 800 840 875 888 896 925 960 980 1000 1036 1050 1110 1120 1137 1176 1184 1200 1225 1280 1295 1344 1400 1470 1480 1500 1516 1536 1554 1568 1600 1680 1750 1776 1792 1813 1850 1895 1920 1960 2000 2072 2100 2220 2240 2274 2352 2368 2400 2450 2560 2590 2625 2653 2688 2775 2800 2940 2960 3000 3032 3108 3136 3200 3360 3500 3552 3584 3626 3675 3700 3790 3840 3885 3920 4000 4144 4200 4440 4480 4548 4625 4704 4736 4800 4900 5180 5250 5306 5376 5439 5550 5600 5685 5880 5920 6000 6064 6125 6216 6272 6400 6475 6720 7000 7104 7252 7350 7400 7580 7680 7770 7840 7959 8000 8288 8400 8880 8960 9065 9096 9250 9408 9472 9475 9600 9800 10360 10500 10612 10752 10878 11100 11200 11370 11760 11840 12000 12128 12250 12432 12544 12800 12950 13265 13440 13875 14000 14023 14208 14504 14700 14800 15160 15540 15680 15918 16000 16576 16800 17760 17920 18130 18192 18375 18500 18571 18816 18944 18950 19200 19425 19600 20720 21000 21224 21756 22200 22400 22740 23520 23680 24000 24256 24500 24864 25088 25900 26530 26880 27195 27750 28000 28046 28416 28425 29008 29400 29600 30320 31080 31360 31836 32000 32375 33152 33600 35520 36260 36384 36750 37000 37142 37632 37900 38400 38850 39200 39795 41440 42000 42069 42448 43512 44400 44800 45325 45480 47040 47360 47375 48000 48512 49000 49728 51800 53060 53760 54390 55500 55713 56000 56092 56832 56850 58016 58800 59200 60640 62160 62720 63672 64000 64750 66304 66325 67200 70115 71040 72520 72768 73500 74000 74284 75264 75800 77700 78400 79590 82880 84000 84138 84896 87024 88800 89600 90650 90960 92855 94080 94720 94750 96000 97024 97125 98000 98161 99456 103600 106120 108780 111000 111426 112000 112184 113700 116032 117600 118400 121280 124320 125440 127344 129500 132608 132650 134400 135975 140230 142080 142125 145040 145536 147000 148000 148568 151600 155400 156800 159180 165760 168000 168276 169792 174048 177600 181300 181920 185710 188160 189500 192000 194048 194250 196000 196322 198912 198975 207200 210345 212240 217560 222000 222852 224000 224368 226625 227400 232064 235200 236800 242560 248640 254688 259000 265300 268800 271950 278565 280460 284160 284250 290080 291072 294000 294483 296000 297136 303200 310800 313600 318360 331520 331625 336000 336552 339584 348096 350575 355200 362600 363840 371420 376320 379000 388500 392000 392644 397824 397950 414400 420690 424480 435120 444000 445704 448000 448736 453250 454800 464128 464275 470400 473600 485120 490805 497280 509376 518000 530600 543900 557130 560920 568500 580160 582144 588000 588966 592000 594272 606400 621600 627200 636720 663040 663250 672000 673104 679168 679875 687127 696192 701150 710400 725200 727680 742840 758000 777000 784000 785288 795900 828800 841380 848960 870240 888000 891408 897472 906500 909600 928256 928550 940800 970240 981610 994560 994875 1018752 1036000 1051725 1061200 1087800 1114260 1121840 1137000 1160320 1176000 1177932 1184000 1188544 1212800 1243200 1273440 1326500 1344000 1346208 1358336 1359750 1374254 1392384 1392825 1402300 1420800 1450400 1455360 1472415 1485680 1516000 1554000 1568000 1570576 1591800 1657600 1682760 1697920 1740480 1752875 1776000 1782816 1794944 1813000 1819200 1857100 1881600 1963220 1989120 1989750 2037504 2061381 2072000 2103450 2122400 2175600 2228520 2243680 2274000 2320640 2321375 2352000 2355864 2368000 2377088 2425600 2454025 2486400 2546880 2653000 2692416 2719500 2748508 2784768 2785650 2804600 2900800 2910720 2944830 2971360 3032000 3108000 3136000 3141152 3183600 3315200 3365520 3395840 3435635 3480960 3505750 3552000 3565632 3589888 3626000 3638400 3714200 3926440 3979500 4075008 4122762 4144000 4206900 4244800 4351200 4457040 4487360 4548000 4641280 4642750 4704000 4711728 4754176 4851200 4908050 4972800 5093760 5258625 5306000 5384832 5439000 5497016 5571300 5609200 5801600 5889660 5942720 6064000 6216000 6282304 6367200 6731040 6791680 6871270 6961920 6964125 7011500 7104000 7131264 7179776 7252000 7276800 7362075 7428400 7852880 7959000 8245524 8288000 8413800 8489600 8702400 8914080 8974720 9096000 9285500 9408000 9423456 9508352 9816100 9945600 10187520 10306905 10517250 10612000 10769664 10878000 10994032 11142600 11218400 11603200 11779320 11885440 12128000 12270125 12432000 12564608 12734400 13462080 13742540 13923840 13928250 14023000 14262528 14504000 14553600 14724150 14856800 15705760 15918000 16491048 16576000 16827600 16979200 17178175 17404800 17828160 17949440 18192000 18571000 18846912 19632200 20375040 20613810 21034500 21224000 21539328 21756000 21988064 22285200 22436800 23206400 23558640 23770880 24256000 24540250 24864000 25129216 25468800 26924160 27485080 27856500 28046000 28525056 29008000 29448300 29713600 31411520 31836000 32982096 33655200 33958400 34356350 34809600 35656320 35898880 36384000 36810375 37142000 37693824 39264400 41227620 42069000 42448000 43512000 43976128 44570400 44873600 47117280 47541760 49080500 49728000 50258432 50937600 51534525 53848320 54970160 55713000 56092000 58016000 58896600 59427200 62823040 63672000 65964192 67310400 68712700 69619200 71312640 72768000 73620750 74284000 75387648 78528800 82455240 84138000 84896000 85890875 87024000 87952256 89140800 89747200 94234560 98161000 101875200 103069050 107696640 109940320 111426000 112184000 116032000 117793200 118854400 125646080 127344000 131928384 134620800 137425400 142625280 147241500 148568000 150775296 157057600 164910480 168276000 169792000 171781750 174048000 175904512 178281600 179494400 188469120 196322000 206138100 219880640 222852000 224368000 235586400 237708800 251292160 254688000 257672625 263856768 269241600 274850800 294483000 297136000 314115200 329820960 336552000 343563500 348096000 351809024 356563200 376938240 392644000 412276200 439761280 445704000 448736000 471172800 509376000 515345250 527713536 538483200 549701600 588966000 594272000 628230400 659641920 673104000 687127000 713126400 753876480 785288000 824552400 879522560 891408000 897472000 942345600 1030690500 1055427072 1099403200 1177932000 1188544000 1256460800 1319283840 1346208000 1374254000 1570576000 1649104800 1759045120 1782816000 1884691200 2061381000 2198806400 2355864000 2638567680 2692416000 2748508000 3141152000 3298209600 3565632000 3769382400 4122762000 4397612800 4711728000 5277135360 5497016000 6282304000 6596419200 8245524000 8795225600 9423456000 10994032000 13192838400 16491048000 18846912000 21988064000 26385676800 32982096000 43976128000 65964192000 131928384000
- Sum of all divisors σ(n): 525414764160
- Sum of proper divisors (its aliquot sum) s(n): 393486380160
- 131928384000 is an abundant number, because the sum of its proper divisors (393486380160) is greater than itself. Its abundance is 261557996160
Bases of 131928384000
- Binary: 11110101101111000101101100010000000002
- Hexadecimal: 0x1EB78B6200
- Base-36: 1OLUR4LC
Squares and roots of 131928384000
- 131928384000 squared (1319283840002) is 17405098504851456000000
- 131928384000 cubed (1319283840003) is 2296226519105868750127104000000000
-
The
square root of 131928384000 is 363219.4708437311 -
The
cube root of 131928384000 is 5090.7223870923
Scales and comparisons
How big is 131928384000?- 131,928,384,000 seconds is equal to 4,194 years, 47 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 131,928,384,000 would take you about eight thousand, three hundred eighty-nine 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 131928384000 cubic inches would be around 424.2 feet tall.
Recreational maths with 131928384000
- 131928384000 backwards is 000483829131
- The number of decimal digits it has is: 12
- The sum of 131928384000's digits is 39
- More coming soon!
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