138178397952000
138,178,397,952,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138178397952000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 4608 divisors.
138178397952000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of four thousand, six hundred eight divisors.
Prime factorization of 138178397952000:
211 × 32 × 53 × 7 × 17 × 37 × 53 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 17 × 37 × 53 × 257)See below for interesting mathematical facts about the number 138178397952000 from the Numbermatics database.
Names of 138178397952000
- Cardinal: 138178397952000 can be written as One hundred thirty-eight trillion, one hundred seventy-eight billion, three hundred ninety-seven million, nine hundred fifty-two thousand.
Scientific notation
- Scientific notation: 1.38178397952 × 1014
Factors of 138178397952000
Divisors of 138178397952000
- Number of divisors d(n): 4608
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 25 28 30 32 34 35 36 37 40 42 45 48 50 51 53 56 60 63 64 68 70 72 74 75 80 84 85 90 96 100 102 105 106 111 112 119 120 125 126 128 136 140 144 148 150 153 159 160 168 170 175 180 185 192 200 204 210 212 222 224 225 238 240 250 252 255 256 257 259 265 272 280 288 296 300 306 315 318 320 333 336 340 350 357 360 370 371 375 384 400 408 420 424 425 444 448 450 476 477 480 500 504 510 512 514 518 525 530 544 555 560 576 592 595 600 612 629 630 636 640 666 672 680 700 714 720 740 742 750 765 768 771 777 795 800 816 840 848 850 875 888 896 900 901 925 952 954 960 1000 1008 1020 1024 1028 1036 1050 1060 1071 1088 1110 1113 1120 1125 1152 1184 1190 1200 1224 1258 1260 1272 1275 1280 1285 1295 1325 1332 1344 1360 1400 1428 1440 1480 1484 1500 1530 1536 1542 1554 1575 1590 1600 1632 1665 1680 1696 1700 1750 1776 1785 1792 1799 1800 1802 1850 1855 1887 1904 1908 1920 1961 2000 2016 2040 2048 2056 2072 2100 2120 2125 2142 2176 2220 2226 2240 2250 2304 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- Sum of all divisors σ(n): 633113262512640
- Sum of proper divisors (its aliquot sum) s(n): 494934864560640
- 138178397952000 is an abundant number, because the sum of its proper divisors (494934864560640) is greater than itself. Its abundance is 356756466608640
Bases of 138178397952000
- Binary: 111110110101100001010100101001101011000000000002
- Hexadecimal: 0x7DAC2A535800
- Base-36: 1CZAA2HA80
Squares and roots of 138178397952000
- 138178397952000 squared (1381783979520002) is 19093269660581277794304000000
- 138178397952000 cubed (1381783979520003) is 2638277413364647770701998910865408000000000
-
The
square root of 138178397952000 is 11754930.7931608003 -
The
cube root of 138178397952000 is 51698.7510036013
Scales and comparisons
How big is 138178397952000?- 138,178,397,952,000 seconds is equal to 4,393,645 years, 33 weeks, 2 days, 8 hours.
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To count from 1 to 138,178,397,952,000 would take you about ten million, nine hundred eighty-four thousand, one hundred fourteen 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 138178397952000 cubic inches would be around 4308.2 feet tall.
Recreational maths with 138178397952000
- 138178397952000 backwards is 000259793871831
- 138178397952000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138178397952000's digits is 63
- More coming soon!
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The information we have on file for 138178397952000 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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