138404864000
138,404,864,000 is an even composite number composed of five prime numbers multiplied together.
138404864000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 138404864000:
213 × 53 × 13 × 37 × 281
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 37 × 281)See below for interesting mathematical facts about the number 138404864000 from the Numbermatics database.
Names of 138404864000
- Cardinal: 138404864000 can be written as One hundred thirty-eight billion, four hundred four million, eight hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.38404864 × 1011
Factors of 138404864000
Divisors of 138404864000
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 37 40 50 52 64 65 74 80 100 104 125 128 130 148 160 185 200 208 250 256 260 281 296 320 325 370 400 416 481 500 512 520 562 592 640 650 740 800 832 925 962 1000 1024 1040 1124 1184 1280 1300 1405 1480 1600 1625 1664 1850 1924 2000 2048 2080 2248 2368 2405 2560 2600 2810 2960 3200 3250 3328 3653 3700 3848 4000 4096 4160 4496 4625 4736 4810 5120 5200 5620 5920 6400 6500 6656 7025 7306 7400 7696 8000 8192 8320 8992 9250 9472 9620 10240 10397 10400 11240 11840 12025 12800 13000 13312 14050 14612 14800 15392 16000 16640 17984 18265 18500 18944 19240 20480 20794 20800 22480 23680 24050 25600 26000 26624 28100 29224 29600 30784 32000 33280 35125 35968 36530 37000 37888 38480 40960 41588 41600 44960 47360 48100 51200 51985 52000 53248 56200 58448 59200 60125 61568 64000 66560 70250 71936 73060 74000 75776 76960 83176 83200 89920 91325 94720 96200 102400 103970 104000 106496 112400 116896 118400 120250 123136 128000 133120 135161 140500 143872 146120 148000 151552 153920 166352 166400 179840 182650 189440 192400 204800 207940 208000 224800 233792 236800 240500 246272 256000 259925 266240 270322 281000 287744 292240 296000 303104 307840 332704 332800 359680 365300 378880 384800 415880 416000 449600 456625 467584 473600 481000 492544 512000 519850 532480 540644 562000 575488 584480 592000 615680 665408 665600 675805 719360 730600 757760 769600 831760 832000 899200 913250 935168 947200 962000 985088 1024000 1039700 1081288 1124000 1150976 1168960 1184000 1231360 1299625 1330816 1331200 1351610 1438720 1461200 1515520 1539200 1663520 1664000 1798400 1826500 1870336 1894400 1924000 1970176 2079400 2162576 2248000 2301952 2337920 2368000 2462720 2599250 2661632 2662400 2703220 2877440 2922400 3078400 3327040 3328000 3379025 3596800 3653000 3740672 3788800 3848000 3940352 4158800 4325152 4496000 4675840 4736000 4925440 5198500 5323264 5406440 5754880 5844800 6156800 6654080 6656000 6758050 7193600 7306000 7481344 7577600 7696000 8317600 8650304 8992000 9351680 9472000 9850880 10397000 10646528 10812880 11509760 11689600 12313600 13308160 13312000 13516100 14387200 14612000 14962688 15392000 16635200 16895125 17300608 17984000 18703360 18944000 19701760 20794000 21293056 21625760 23379200 24627200 26616320 27032200 28774400 29224000 29925376 30784000 33270400 33790250 34601216 35968000 37406720 37888000 41588000 42586112 43251520 46758400 49254400 53232640 54064400 57548800 58448000 61568000 66540800 67580500 69202432 71936000 74813440 83176000 85172224 86503040 93516800 98508800 106465280 108128800 116896000 123136000 133081600 135161000 138404864 143872000 149626880 166352000 173006080 187033600 212930560 216257600 233792000 246272000 266163200 270322000 276809728 287744000 332704000 346012160 374067200 425861120 432515200 467584000 492544000 532326400 540644000 553619456 665408000 692024320 748134400 865030400 935168000 1064652800 1081288000 1107238912 1330816000 1384048640 1730060800 1870336000 2129305600 2162576000 2661632000 2768097280 3460121600 3740672000 4325152000 5323264000 5536194560 6920243200 8650304000 10646528000 13840486400 17300608000 27680972800 34601216000 69202432000 138404864000
- Sum of all divisors σ(n): 383423537952
- Sum of proper divisors (its aliquot sum) s(n): 245018673952
- 138404864000 is an abundant number, because the sum of its proper divisors (245018673952) is greater than itself. Its abundance is 106613809952
Bases of 138404864000
- Binary: 100000001110011001001010100000000000002
- Hexadecimal: 0x203992A000
- Base-36: 1RKYOKJK
Squares and roots of 138404864000
- 138404864000 squared (1384048640002) is 19155906378858496000000
- 138404864000 cubed (1384048640003) is 2651270617162642614124544000000000
-
The
square root of 138404864000 is 372028.0419538291 -
The
cube root of 138404864000 is 5172.6979297787
Scales and comparisons
How big is 138404864000?- 138,404,864,000 seconds is equal to 4,400 years, 44 weeks, 3 hours, 33 minutes, 20 seconds.
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To count from 1 to 138,404,864,000 would take you about eight thousand, eight hundred one 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 138404864000 cubic inches would be around 431.1 feet tall.
Recreational maths with 138404864000
- 138404864000 backwards is 000468404831
- The number of decimal digits it has is: 12
- The sum of 138404864000's digits is 38
- More coming soon!
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