138713960448000
138,713,960,448,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138713960448000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2304 divisors.
138713960448000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138713960448000:
215 × 32 × 53 × 72 × 41 × 1873
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 41 × 1873)See below for interesting mathematical facts about the number 138713960448000 from the Numbermatics database.
Names of 138713960448000
- Cardinal: 138713960448000 can be written as One hundred thirty-eight trillion, seven hundred thirteen billion, nine hundred sixty million, four hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.38713960448 × 1014
Factors of 138713960448000
Divisors of 138713960448000
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 41 42 45 48 49 50 56 60 63 64 70 72 75 80 82 84 90 96 98 100 105 112 120 123 125 126 128 140 144 147 150 160 164 168 175 180 192 196 200 205 210 224 225 240 245 246 250 252 256 280 287 288 294 300 315 320 328 336 350 360 369 375 384 392 400 410 420 441 448 450 480 490 492 500 504 512 525 560 574 576 588 600 615 630 640 656 672 700 720 735 738 750 768 784 800 820 840 861 875 882 896 900 960 980 984 1000 1008 1024 1025 1050 1120 1125 1148 1152 1176 1200 1225 1230 1260 1280 1312 1344 1400 1435 1440 1470 1476 1500 1536 1568 1575 1600 1640 1680 1722 1750 1764 1792 1800 1845 1873 1920 1960 1968 2000 2009 2016 2048 2050 2100 2205 2240 2250 2296 2304 2352 2400 2450 2460 2520 2560 2583 2624 2625 2688 2800 2870 2880 2940 2952 3000 3072 3075 3136 3150 3200 3280 3360 3444 3500 3528 3584 3600 3675 3690 3746 3840 3920 3936 4000 4018 4032 4096 4100 4200 4305 4410 4480 4500 4592 4608 4704 4800 4900 4920 5040 5120 5125 5166 5248 5250 5376 5600 5619 5740 5760 5880 5904 6000 6027 6125 6144 6150 6272 6300 6400 6560 6720 6888 7000 7056 7168 7175 7200 7350 7380 7492 7680 7840 7872 7875 8000 8036 8064 8192 8200 8400 8610 8820 8960 9000 9184 9216 9225 9365 9408 9600 9800 9840 10045 10080 10240 10250 10332 10496 10500 10752 11025 11200 11238 11480 11520 11760 11808 12000 12054 12250 12288 12300 12544 12600 12800 12915 13111 13120 13440 13776 14000 14112 14336 14350 14400 14700 14760 14984 15360 15375 15680 15744 15750 16000 16072 16128 16384 16400 16800 16857 17220 17640 17920 18000 18081 18368 18375 18432 18450 18730 18816 19200 19600 19680 20090 20160 20480 20500 20664 20992 21000 21504 21525 22050 22400 22476 22960 23040 23520 23616 24000 24108 24500 24576 24600 25088 25200 25600 25830 26222 26240 26880 27552 28000 28095 28224 28672 28700 28800 29400 29520 29968 30135 30720 30750 31360 31488 31500 32000 32144 32256 32768 32800 33600 33714 34440 35280 35840 35875 36000 36162 36736 36750 36864 36900 37460 37632 38400 39200 39333 39360 40180 40320 40960 41000 41328 41984 42000 43008 43050 44100 44800 44952 45920 46080 46125 46825 47040 47232 48000 48216 49000 49152 49200 50176 50225 50400 51200 51660 52444 52480 53760 55104 55125 56000 56190 56448 57344 57400 57600 58800 59040 59936 60270 61440 61500 62720 62976 63000 64000 64288 64512 64575 65555 65600 67200 67428 68880 70560 71680 71750 72000 72324 73472 73500 73728 73800 74920 75264 76793 76800 78400 78666 78720 80360 80640 81920 82000 82656 83968 84000 84285 86016 86100 88200 89600 89904 90405 91777 91840 92160 92250 93650 94080 94464 96000 96432 98000 98304 98400 100352 100450 100800 102400 103320 104888 104960 107520 107625 110208 110250 112000 112380 112896 114688 114800 115200 117600 117999 118080 119872 120540 122880 123000 125440 125952 126000 128000 128576 129024 129150 131110 131200 134400 134856 137760 140475 141120 143360 143500 144000 144648 146944 147000 147456 147600 149840 150528 150675 153586 153600 156800 157332 157440 160720 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943632384000 963291392000 990814003200 1083702816000 1100904448000 1109711683584 1127755776000 1155949670400 1238517504000 1321085337600 1387139604480 1415448576000 1444937088000 1541266227200 1651356672000 1691633664000 1733924505600 1849519472640 1926582784000 1981628006400 2167405632000 2201808896000 2311899340800 2477035008000 2774279208960 2830897152000 2889874176000 3082532454400 3302713344000 3383267328000 3467849011200 3853165568000 3963256012800 4334811264000 4623798681600 4954070016000 5548558417920 5779748352000 6605426688000 6935698022400 7706331136000 8669622528000 9247597363200 9908140032000 11559496704000 13871396044800 15412662272000 17339245056000 19816280064000 23118993408000 27742792089600 34678490112000 46237986816000 69356980224000 138713960448000
- Sum of all divisors σ(n): 596259054452880
- Sum of proper divisors (its aliquot sum) s(n): 457545094004880
- 138713960448000 is an abundant number, because the sum of its proper divisors (457545094004880) is greater than itself. Its abundance is 318831133556880
Bases of 138713960448000
- Binary: 111111000101000110111000101011010000000000000002
- Hexadecimal: 0x7E28DC568000
- Base-36: 1D64BAK8W0
Squares and roots of 138713960448000
- 138713960448000 squared (1387139604480002) is 19241562823169308360704000000
- 138713960448000 cubed (1387139604480003) is 2669073384410814657954210373435392000000000
-
The
square root of 138713960448000 is 11777689.0962531355 -
The
cube root of 138713960448000 is 51765.4575648683
Scales and comparisons
How big is 138713960448000?- 138,713,960,448,000 seconds is equal to 4,410,674 years, 45 weeks, 2 days, 8 hours.
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To count from 1 to 138,713,960,448,000 would take you about eleven million, twenty-six thousand, six hundred eighty-seven 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 138713960448000 cubic inches would be around 4313.8 feet tall.
Recreational maths with 138713960448000
- 138713960448000 backwards is 000844069317831
- The number of decimal digits it has is: 15
- The sum of 138713960448000's digits is 54
- More coming soon!
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The information we have on file for 138713960448000 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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