138502656928800000
138,502,656,928,800,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138502656928800000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 6048 divisors.
138502656928800000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six thousand and forty-eight divisors.
Prime factorization of 138502656928800000:
28 × 36 × 55 × 29 × 433 × 103
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 29 × 43 × 43 × 43 × 103)See below for interesting mathematical facts about the number 138502656928800000 from the Numbermatics database.
Names of 138502656928800000
- Cardinal: 138502656928800000 can be written as One hundred thirty-eight quadrillion, five hundred two trillion, six hundred fifty-six billion, nine hundred twenty-eight million, eight hundred thousand.
Scientific notation
- Scientific notation: 1.385026569288 × 1017
Factors of 138502656928800000
Divisors of 138502656928800000
- Number of divisors d(n): 6048
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 29 30 32 36 40 43 45 48 50 54 58 60 64 72 75 80 81 86 87 90 96 100 103 108 116 120 125 128 129 135 144 145 150 160 162 172 174 180 192 200 206 215 216 225 232 240 243 250 256 258 261 270 288 290 300 309 320 324 344 348 360 375 384 387 400 405 412 430 432 435 450 464 480 486 500 515 516 522 540 576 580 600 618 625 640 645 648 675 688 696 720 725 729 750 768 774 783 800 810 824 860 864 870 900 927 928 960 972 1000 1030 1032 1044 1075 1080 1125 1152 1160 1161 1200 1215 1236 1247 1250 1280 1290 1296 1305 1350 1376 1392 1440 1450 1458 1500 1545 1548 1566 1600 1620 1648 1720 1728 1740 1800 1849 1854 1856 1875 1920 1935 1944 2000 2025 2060 2064 2088 2150 2160 2175 2250 2304 2320 2322 2349 2400 2430 2472 2494 2500 2575 2580 2592 2610 2700 2752 2781 2784 2880 2900 2916 2987 3000 3090 3096 3125 3132 3200 3225 3240 3296 3375 3440 3456 3480 3483 3600 3625 3645 3698 3708 3712 3741 3750 3840 3870 3888 3915 4000 4050 4120 4128 4176 4300 4320 4350 4429 4500 4635 4640 4644 4698 4800 4860 4944 4988 5000 5150 5160 5184 5220 5375 5400 5504 5547 5562 5568 5625 5760 5800 5805 5832 5974 6000 6075 6180 6192 6235 6250 6264 6400 6450 6480 6525 6592 6750 6880 6912 6960 6966 7047 7200 7250 7290 7396 7416 7424 7482 7500 7725 7740 7776 7830 8000 8100 8240 8256 8343 8352 8600 8640 8700 8858 8961 9000 9245 9270 9280 9288 9375 9396 9600 9675 9720 9888 9976 10000 10125 10300 10320 10368 10440 10449 10750 10800 10875 11008 11094 11124 11136 11223 11250 11520 11600 11610 11664 11745 11948 12000 12150 12360 12384 12470 12500 12528 12875 12900 12960 13050 13184 13287 13500 13760 13905 13920 13932 14094 14400 14500 14580 14792 14832 14935 14964 15000 15450 15480 15552 15660 16000 16125 16200 16480 16512 16641 16686 16704 16875 17200 17280 17400 17415 17716 17922 18000 18125 18225 18490 18540 18560 18576 18705 18750 18792 19200 19350 19440 19575 19776 19952 20000 20250 20600 20640 20736 20880 20898 21141 21500 21600 21750 22145 22188 22248 22272 22446 22500 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- Sum of all divisors σ(n): 554054261945184000
- Sum of proper divisors (its aliquot sum) s(n): 415551605016384000
- 138502656928800000 is an abundant number, because the sum of its proper divisors (415551605016384000) is greater than itself. Its abundance is 277048948087584000
Bases of 138502656928800000
- Binary: 1111011000000111101101110110000101011000001011101000000002
- Hexadecimal: 0x1EC0F6EC2B05D00
- Base-36: 11VR3E7IS000
Squares and roots of 138502656928800000
- 138502656928800000 squared (1385026569288000002) is 19182985976336870648269440000000000
- 138502656928800000 cubed (1385026569288000003) is 2656894525550567110335444701745295872000000000000000
-
The
square root of 138502656928800000 is 372159450.9464995435 -
The
cube root of 138502656928800000 is 517391.5936554805
Scales and comparisons
How big is 138502656928800000?- 138,502,656,928,800,000 seconds is equal to 4,403,956,073 years, 25 weeks, 3 days.
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To count from 1 to 138,502,656,928,800,000 would take you about thirteen billion, two hundred eleven million, eight hundred sixty-eight thousand, two hundred twenty 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 138502656928800000 cubic inches would be around 43116 feet tall.
Recreational maths with 138502656928800000
- 138502656928800000 backwards is 000008829656205831
- The number of decimal digits it has is: 18
- The sum of 138502656928800000's digits is 63
- More coming soon!
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The information we have on file for 138502656928800000 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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