138409920000
138,409,920,000 is an even composite number composed of six prime numbers multiplied together.
138409920000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred divisors.
Prime factorization of 138409920000:
29 × 32 × 54 × 11 × 17 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 11 × 17 × 257)See below for interesting mathematical facts about the number 138409920000 from the Numbermatics database.
Names of 138409920000
- Cardinal: 138409920000 can be written as One hundred thirty-eight billion, four hundred nine million, nine hundred twenty thousand.
Scientific notation
- Scientific notation: 1.3840992 × 1011
Factors of 138409920000
Divisors of 138409920000
- Number of divisors d(n): 1200
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20 22 24 25 30 32 33 34 36 40 44 45 48 50 51 55 60 64 66 68 72 75 80 85 88 90 96 99 100 102 110 120 125 128 132 136 144 150 153 160 165 170 176 180 187 192 198 200 204 220 225 240 250 255 256 257 264 272 275 288 300 306 320 330 340 352 360 374 375 384 396 400 408 425 440 450 480 495 500 510 512 514 528 544 550 561 576 600 612 625 640 660 680 704 720 748 750 765 768 771 792 800 816 825 850 880 900 935 960 990 1000 1020 1028 1056 1088 1100 1122 1125 1152 1200 1224 1250 1275 1280 1285 1320 1360 1375 1408 1440 1496 1500 1530 1536 1542 1584 1600 1632 1650 1683 1700 1760 1800 1870 1875 1920 1980 2000 2040 2056 2112 2125 2176 2200 2244 2250 2304 2313 2400 2448 2475 2500 2550 2560 2570 2640 2720 2750 2805 2816 2827 2880 2992 3000 3060 3084 3168 3200 3264 3300 3366 3400 3520 3600 3740 3750 3825 3840 3855 3960 4000 4080 4112 4125 4224 4250 4352 4369 4400 4488 4500 4608 4626 4675 4800 4896 4950 5000 5100 5140 5280 5440 5500 5610 5625 5632 5654 5760 5984 6000 6120 6168 6336 6375 6400 6425 6528 6600 6732 6800 6875 7040 7200 7480 7500 7650 7680 7710 7920 8000 8160 8224 8250 8415 8448 8481 8500 8704 8738 8800 8976 9000 9252 9350 9600 9792 9900 10000 10200 10280 10560 10625 10880 11000 11220 11250 11308 11520 11565 11968 12000 12240 12336 12375 12672 12750 12800 12850 13056 13107 13200 13464 13600 13750 14025 14080 14135 14400 14960 15000 15300 15420 15840 16000 16320 16448 16500 16830 16896 16962 17000 17476 17600 17952 18000 18504 18700 19125 19200 19275 19584 19800 20000 20400 20560 20625 21120 21250 21760 21845 22000 22440 22500 22616 23040 23130 23375 23936 24000 24480 24672 24750 25344 25443 25500 25700 26112 26214 26400 26928 27200 27500 28050 28160 28270 28800 29920 30000 30600 30840 31680 31875 32000 32125 32640 32896 33000 33660 33924 34000 34952 35200 35904 36000 37008 37400 38250 38400 38550 39168 39321 39600 40000 40800 41120 41250 42075 42240 42405 42500 43520 43690 44000 44880 45000 45232 46260 46750 47872 48000 48059 48960 49344 49500 50688 50886 51000 51400 52428 52800 53856 54400 55000 56100 56540 57600 57825 59840 60000 61200 61680 61875 63360 63750 64000 64250 65280 65535 65792 66000 67320 67848 68000 69904 70125 70400 70675 71808 72000 74016 74800 76500 77100 78336 78642 79200 80000 81600 82240 82500 84150 84480 84810 85000 87380 88000 89760 90000 90464 92520 93500 95625 95744 96000 96118 96375 97920 98688 99000 101772 102000 102800 104856 105600 107712 108800 109225 110000 112200 113080 115200 115650 116875 119680 120000 122400 123360 123750 126720 127215 127500 128500 130560 131070 131584 132000 134640 135696 136000 139808 140250 140800 141350 143616 144000 144177 148032 149600 153000 154200 157284 158400 160000 160625 163200 164480 165000 168300 169620 170000 174760 176000 179520 180000 180928 185040 187000 191250 192000 192236 192750 195840 196605 197376 198000 203544 204000 205600 209712 210375 211200 212025 215424 217600 218450 220000 224400 226160 231300 233750 239360 240000 240295 244800 246720 247500 253440 254430 255000 257000 262140 264000 269280 271392 272000 279616 280500 282700 287232 288000 288354 289125 296064 299200 306000 308400 314568 316800 320000 321250 326400 327675 328960 330000 336600 339240 340000 349520 350625 352000 353375 359040 360000 361856 370080 374000 382500 384472 385500 391680 393210 394752 396000 407088 408000 411200 419424 420750 422400 424050 430848 432531 436900 440000 448800 452320 462600 467500 478720 480000 480590 481875 489600 493440 495000 508860 510000 514000 524280 528000 538560 542784 544000 546125 559232 561000 565400 576000 576708 578250 592128 598400 612000 616800 629136 633600 636075 642500 652800 655350 657920 660000 673200 678480 680000 699040 701250 704000 706750 718080 720000 720885 723712 740160 748000 765000 768944 771000 786420 792000 814176 816000 822400 838848 841500 848100 861696 865062 873800 880000 897600 904640 925200 935000 960000 961180 963750 979200 983025 986880 990000 1017720 1020000 1028000 1048560 1051875 1056000 1060125 1077120 1085568 1088000 1092250 1118464 1122000 1130800 1153416 1156500 1184256 1196800 1201475 1224000 1233600 1258272 1267200 1272150 1285000 1310700 1320000 1346400 1356960 1360000 1398080 1402500 1413500 1436160 1440000 1441770 1445625 1447424 1480320 1496000 1530000 1537888 1542000 1572840 1584000 1628352 1632000 1638375 1644800 1677696 1683000 1696200 1730124 1747600 1760000 1766875 1795200 1809280 1850400 1870000 1922360 1927500 1958400 1966050 1973760 1980000 2035440 2040000 2056000 2097120 2103750 2112000 2120250 2154240 2162655 2171136 2184500 2236928 2244000 2261600 2306832 2313000 2393600 2402950 2448000 2467200 2516544 2544300 2570000 2621400 2640000 2692800 2713920 2720000 2730625 2796160 2805000 2827000 2880000 2883540 2891250 2960640 2992000 3060000 3075776 3084000 3145680 3168000 3180375 3256704 3264000 3276750 3289600 3355392 3366000 3392400 3460248 3495200 3520000 3533750 3590400 3604425 3618560 3700800 3740000 3844720 3855000 3932100 3960000 4070880 4080000 4112000 4194240 4207500 4240500 4308480 4325310 4342272 4369000 4488000 4523200 4613664 4626000 4805900 4896000 4915125 4934400 5033088 5088600 5140000 5242800 5280000 5300625 5385600 5427840 5440000 5461250 5592320 5610000 5654000 5767080 5782500 5921280 5984000 6007375 6120000 6151552 6168000 6291360 6336000 6360750 6513408 6553500 6710784 6732000 6784800 6920496 6990400 7067500 7180800 7208850 7237120 7401600 7480000 7689440 7710000 7864200 7920000 8141760 8160000 8191875 8224000 8388480 8415000 8481000 8650620 8738000 8976000 9046400 9227328 9252000 9611800 9792000 9830250 9868800 10066176 10177200 10280000 10485600 10560000 10601250 10771200 10813275 10855680 10922500 11184640 11220000 11308000 11534160 11565000 11968000 12014750 12240000 12303104 12336000 12582720 12721500 13026816 13107000 13464000 13569600 13840992 13980800 14135000 14417700 14803200 14960000 15378880 15420000 15728400 15840000 15901875 16283520 16320000 16383750 16448000 16776960 16830000 16962000 17301240 17476000 17952000 18022125 18092800 18454656 18504000 19223600 19660500 20132352 20354400 20560000 20971200 21202500 21542400 21626550 21711360 21845000 22440000 22616000 23068320 23130000 24029500 24480000 24575625 24606208 24672000 25165440 25443000 26214000 26928000 27139200 27681984 27961600 28270000 28835400 29606400 29920000 30036875 30757760 30840000 31456800 31680000 31803750 32567040 32767500 33553920 33660000 33924000 34602480 34952000 35904000 36044250 36185600 36909312 37008000 38447200 39321000 40708800 41120000 41942400 42405000 43253100 43690000 44880000 45232000 46136640 46260000 48059000 48960000 49151250 49344000 50330880 50886000 52428000 53856000 54066375 54278400 55363968 55923200 56540000 57670800 59840000 60073750 61515520 61680000 62913600 63607500 65134080 65535000 67320000 67848000 69204960 69904000 72088500 73818624 74016000 76894400 78642000 81417600 82240000 83884800 84810000 86506200 87380000 89760000 90110625 90464000 92273280 92520000 96118000 98302500 100661760 101772000 104856000 107712000 108132750 108556800 110727936 113080000 115341600 120147500 123031040 123360000 125827200 127215000 131070000 134640000 135696000 138409920 139808000 144177000 148032000 153788800 157284000 162835200 167769600 169620000 173012400 174760000 179520000 180221250 180928000 184546560 185040000 192236000 196605000 203544000 209712000 216265500 221455872 226160000 230683200 240295000 246720000 251654400 254430000 262140000 269280000 270331875 271392000 276819840 279616000 288354000 307577600 314568000 325670400 339240000 346024800 349520000 360442500 369093120 370080000 384472000 393210000 407088000 419424000 432531000 452320000 461366400 480590000 503308800 508860000 524280000 538560000 540663750 542784000 553639680 576708000 615155200 629136000 678480000 692049600 699040000 720885000 740160000 768944000 786420000 814176000 838848000 865062000 904640000 922732800 961180000 1017720000 1048560000 1081327500 1107279360 1153416000 1258272000 1356960000 1384099200 1398080000 1441770000 1537888000 1572840000 1628352000 1730124000 1845465600 1922360000 2035440000 2097120000 2162655000 2306832000 2516544000 2713920000 2768198400 2883540000 3075776000 3145680000 3460248000 3844720000 4070880000 4194240000 4325310000 4613664000 5536396800 5767080000 6291360000 6920496000 7689440000 8141760000 8650620000 9227328000 11534160000 12582720000 13840992000 15378880000 17301240000 23068320000 27681984000 34602480000 46136640000 69204960000 138409920000
- Sum of all divisors σ(n): 578819930832
- Sum of proper divisors (its aliquot sum) s(n): 440410010832
- 138409920000 is an abundant number, because the sum of its proper divisors (440410010832) is greater than itself. Its abundance is 302000090832
Bases of 138409920000
- Binary: 100000001110011101111111000110000000002
- Hexadecimal: 0x2039DFC600
- Base-36: 1RL1OXS0
Squares and roots of 138409920000
- 138409920000 squared (1384099200002) is 19157305954406400000000
- 138409920000 cubed (1384099200003) is 2651561184564913471488000000000000
-
The
square root of 138409920000 is 372034.8370784649 -
The
cube root of 138409920000 is 5172.7609161059
Scales and comparisons
How big is 138409920000?- 138,409,920,000 seconds is equal to 4,401 years, 2 days, 16 hours.
-
To count from 1 to 138,409,920,000 would take you about eight thousand, eight hundred two 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 138409920000 cubic inches would be around 431.1 feet tall.
Recreational maths with 138409920000
- 138409920000 backwards is 000029904831
- 138409920000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138409920000's digits is 36
- More coming soon!
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The information we have on file for 138409920000 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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