138133766016000000
138,133,766,016,000,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138133766016000000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 8232 divisors.
138133766016000000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight thousand, two hundred thirty-two divisors.
Prime factorization of 138133766016000000:
213 × 36 × 56 × 17 × 31 × 532
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 17 × 31 × 53 × 53)See below for interesting mathematical facts about the number 138133766016000000 from the Numbermatics database.
Names of 138133766016000000
- Cardinal: 138133766016000000 can be written as One hundred thirty-eight quadrillion, one hundred thirty-three trillion, seven hundred sixty-six billion, sixteen million.
Scientific notation
- Scientific notation: 1.38133766016 × 1017
Factors of 138133766016000000
Divisors of 138133766016000000
- Number of divisors d(n): 8232
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 31 32 34 36 40 45 48 50 51 53 54 60 62 64 68 72 75 80 81 85 90 93 96 100 102 106 108 120 124 125 128 135 136 144 150 153 155 159 160 162 170 180 186 192 200 204 212 216 225 240 243 248 250 255 256 265 270 272 279 288 300 306 310 318 320 324 340 360 372 375 384 400 405 408 424 425 432 450 459 465 477 480 486 496 500 510 512 527 530 540 544 558 576 600 612 620 625 636 640 648 675 680 720 729 744 750 765 768 775 795 800 810 816 837 848 850 864 900 901 918 930 954 960 972 992 1000 1020 1024 1054 1060 1080 1088 1116 1125 1152 1200 1215 1224 1240 1250 1272 1275 1280 1296 1325 1350 1360 1377 1395 1431 1440 1458 1488 1500 1530 1536 1550 1581 1590 1600 1620 1632 1643 1674 1696 1700 1728 1800 1802 1836 1860 1875 1908 1920 1944 1984 2000 2025 2040 2048 2108 2120 2125 2160 2176 2232 2250 2295 2304 2325 2385 2400 2430 2448 2480 2500 2511 2544 2550 2560 2592 2635 2650 2700 2703 2720 2754 2790 2809 2862 2880 2916 2976 3000 3060 3072 3100 3125 3162 3180 3200 3240 3264 3286 3348 3375 3392 3400 3456 3600 3604 3645 3672 3720 3750 3816 3825 3840 3875 3888 3968 3975 4000 4050 4080 4096 4131 4185 4216 4240 4250 4293 4320 4352 4464 4500 4505 4590 4608 4650 4743 4770 4800 4860 4896 4929 4960 5000 5022 5088 5100 5120 5184 5270 5300 5400 5406 5440 5508 5580 5618 5625 5724 5760 5832 5952 6000 6075 6120 6144 6200 6250 6324 6360 6375 6400 6480 6528 6572 6625 6696 6750 6784 6800 6885 6912 6975 7155 7200 7208 7290 7344 7440 7500 7533 7632 7650 7680 7750 7776 7905 7936 7950 8000 8100 8109 8160 8192 8215 8262 8370 8427 8432 8480 8500 8586 8640 8704 8928 9000 9010 9180 9216 9300 9375 9486 9540 9600 9720 9792 9858 9920 10000 10044 10125 10176 10200 10240 10368 10540 10600 10625 10800 10812 10880 11016 11160 11236 11250 11448 11475 11520 11625 11664 11904 11925 12000 12150 12240 12288 12393 12400 12500 12555 12648 12720 12750 12800 12879 12960 13056 13144 13175 13250 13392 13500 13515 13568 13600 13770 13824 13950 14045 14229 14310 14400 14416 14580 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46044588672000000 69066883008000000 138133766016000000
- Sum of all divisors σ(n): 576742432318621632
- Sum of proper divisors (its aliquot sum) s(n): 438608666302621632
- 138133766016000000 is an abundant number, because the sum of its proper divisors (438608666302621632) is greater than itself. Its abundance is 300474900286621632
Bases of 138133766016000000
- Binary: 1111010101011111111101101101001101101111011100000000000002
- Hexadecimal: 0x1EABFEDA6DEE000
- Base-36: 11S4C029S000
Squares and roots of 138133766016000000
- 138133766016000000 squared (1381337660160000002) is 19080937313763036512256000000000000
- 138133766016000000 cubed (1381337660160000003) is 2635721730265306862053635020292096000000000000000000
-
The
square root of 138133766016000000 is 371663511.8168045293 -
The
cube root of 138133766016000000 is 516931.8413290285
Scales and comparisons
How big is 138133766016000000?- 138,133,766,016,000,000 seconds is equal to 4,392,226,483 years, 26 weeks, 6 days.
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To count from 1 to 138,133,766,016,000,000 would take you about thirteen billion, one hundred seventy-six million, six hundred seventy-nine thousand, four hundred fifty 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 138133766016000000 cubic inches would be around 43077.7 feet tall.
Recreational maths with 138133766016000000
- 138133766016000000 backwards is 000000610667331831
- 138133766016000000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138133766016000000's digits is 45
- More coming soon!
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The information we have on file for 138133766016000000 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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