138264464324480
138,264,464,324,480 is an even composite number composed of six prime numbers multiplied together.
What does the number 138264464324480 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 256 divisors.
138264464324480 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 138264464324480:
27 × 5 × 13 × 29 × 1093 × 524287
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 29 × 1093 × 524287)See below for interesting mathematical facts about the number 138264464324480 from the Numbermatics database.
Names of 138264464324480
- Cardinal: 138264464324480 can be written as One hundred thirty-eight trillion, two hundred sixty-four billion, four hundred sixty-four million, three hundred twenty-four thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3826446432448 × 1014
Factors of 138264464324480
Divisors of 138264464324480
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 26 29 32 40 52 58 64 65 80 104 116 128 130 145 160 208 232 260 290 320 377 416 464 520 580 640 754 832 928 1040 1093 1160 1508 1664 1856 1885 2080 2186 2320 3016 3712 3770 4160 4372 4640 5465 6032 7540 8320 8744 9280 10930 12064 14209 15080 17488 18560 21860 24128 28418 30160 31697 34976 43720 48256 56836 60320 63394 69952 71045 87440 113672 120640 126788 139904 142090 158485 174880 227344 241280 253576 284180 316970 349760 412061 454688 507152 524287 568360 633940 699520 824122 909376 1014304 1048574 1136720 1267880 1648244 1818752 2028608 2060305 2097148 2273440 2535760 2621435 3296488 4057216 4120610 4194296 4546880 5071520 5242870 6592976 6815731 8241220 8388592 9093760 10143040 10485740 13185952 13631462 15204323 16482440 16777184 20286080 20971480 26371904 27262924 30408646 32964880 33554368 34078655 41942960 52743808 54525848 60817292 65929760 67108736 68157310 76021615 83885920 109051696 121634584 131859520 136314620 152043230 167771840 197656199 218103392 243269168 263719040 272629240 304086460 335543680 395312398 436206784 486538336 545258480 573045691 608172920 790624796 872413568 973076672 988280995 1090516960 1146091382 1216345840 1581249592 1946153344 1976561990 2181033920 2292182764 2432691680 2865228455 3162499184 3953123980 4362067840 4584365528 4865383360 5730456910 6324998368 7449593983 7906247960 9168731056 9730766720 11460913820 12649996736 14899187966 15812495920 16618325039 18337462112 22921827640 25299993472 29798375932 31624991840 33236650078 36674924224 37247969915 45843655280 59596751864 63249983680 66473300156 73349848448 74495939830 83091625195 91687310560 119193503728 126499967360 132946600312 148991879660 166183250390 183374621120 216038225507 238387007456 265893200624 297983759320 332366500780 366749242240 432076451014 476774014912 531786401248 595967518640 664733001560 864152902028 953548029824 1063572802496 1080191127535 1191935037280 1329466003120 1728305804056 2127145604992 2160382255070 2383870074560 2658932006240 3456611608112 4320764510140 4767740149120 5317864012480 6913223216224 8641529020280 10635728024960 13826446432448 17283058040560 27652892864896 34566116081120 69132232162240 138264464324480
- Sum of all divisors σ(n): 368576770867200
- Sum of proper divisors (its aliquot sum) s(n): 230312306542720
- 138264464324480 is an abundant number, because the sum of its proper divisors (230312306542720) is greater than itself. Its abundance is 92047842218240
Bases of 138264464324480
- Binary: 111110111000000001101000100011111110111100000002
- Hexadecimal: 0x7DC03447F780
- Base-36: 1D0DTG6C8W
Squares and roots of 138264464324480
- 138264464324480 squared (1382644643244802) is 19117062094935402662727270400
- 138264464324480 cubed (1382644643244803) is 2643210350014064872350798276040810299392000
-
The
square root of 138264464324480 is 11758591.0858605845 -
The
cube root of 138264464324480 is 51709.4825422733
Scales and comparisons
How big is 138264464324480?- 138,264,464,324,480 seconds is equal to 4,396,382 years, 14 weeks, 5 days, 21 hours, 41 minutes, 20 seconds.
-
To count from 1 to 138,264,464,324,480 would take you about ten million, nine hundred ninety thousand, nine hundred fifty-five 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 138264464324480 cubic inches would be around 4309.1 feet tall.
Recreational maths with 138264464324480
- 138264464324480 backwards is 084423464462831
- The number of decimal digits it has is: 15
- The sum of 138264464324480's digits is 59
- More coming soon!
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