138329729585037328
138,329,729,585,037,328 is an even composite number composed of five prime numbers multiplied together.
What does the number 138329729585037328 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 120 divisors.
138329729585037328 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 138329729585037328:
24 × 13 × 37 × 577 × 1764972
(2 × 2 × 2 × 2 × 13 × 37 × 577 × 176497 × 176497)See below for interesting mathematical facts about the number 138329729585037328 from the Numbermatics database.
Names of 138329729585037328
- Cardinal: 138329729585037328 can be written as One hundred thirty-eight quadrillion, three hundred twenty-nine trillion, seven hundred twenty-nine billion, five hundred eighty-five million, thirty-seven thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38329729585037328 × 1017
Factors of 138329729585037328
Divisors of 138329729585037328
- Number of divisors d(n): 120
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Complete list of divisors:
1 2 4 8 13 16 26 37 52 74 104 148 208 296 481 577 592 962 1154 1924 2308 3848 4616 7501 7696 9232 15002 21349 30004 42698 60008 85396 120016 170792 176497 277537 341584 352994 555074 705988 1110148 1411976 2220296 2294461 2823952 4440592 4588922 6530389 9177844 13060778 18355688 26121556 36711376 52243112 84895057 101838769 104486224 169790114 203677538 339580228 407355076 679160456 814710152 1323903997 1358320912 1629420304 2647807994 3768034453 5295615988 7536068906 10591231976 15072137812 21182463952 30144275624 31151191009 48984447889 60288551248 62302382018 97968895778 124604764036 195937791556 249209528072 391875583112 404965483117 498419056144 783751166224 809930966234 1152594067333 1619861932468 2305188134666 3239723864936 4610376269332 6479447729872 9220752538664 14983722875329 17974237212193 18441505077328 29967445750658 35948474424386 59934891501316 71896948848772 119869783002632 143793897697544 233665083758509 239739566005264 287587795395088 467330167517018 665046776851141 934660335034036 1330093553702282 1869320670068072 2660187107404564 3738641340136144 5320374214809128 8645608099064833 10640748429618256 17291216198129666 34582432396259332 69164864792518664 138329729585037328
- Sum of all divisors σ(n): 296946547990906632
- Sum of proper divisors (its aliquot sum) s(n): 158616818405869304
- 138329729585037328 is an abundant number, because the sum of its proper divisors (158616818405869304) is greater than itself. Its abundance is 20287088820831976
Bases of 138329729585037328
- Binary: 1111010110111001000100111111110011100101011000000000100002
- Hexadecimal: 0x1EB7227F9CAC010
- Base-36: 11U1SOHF5IJ4
Squares and roots of 138329729585037328
- 138329729585037328 squared (1383297295850373282) is 19135114087069551416516899153379584
- 138329729585037328 cubed (1383297295850373283) is 2646955157243169468072678494684989036391389993111552
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The
square root of 138329729585037328 is 371927048.7407945005 -
The
cube root of 138329729585037328 is 517176.1744036481
Scales and comparisons
How big is 138329729585037328?- 138,329,729,585,037,328 seconds is equal to 4,398,457,518 years, 44 weeks, 3 days, 20 hours, 35 minutes, 28 seconds.
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To count from 1 to 138,329,729,585,037,328 would take you about thirteen billion, one hundred ninety-five million, three hundred seventy-two thousand, five hundred fifty-six 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 138329729585037328 cubic inches would be around 43098 feet tall.
Recreational maths with 138329729585037328
- 138329729585037328 backwards is 823730585927923831
- The number of decimal digits it has is: 18
- The sum of 138329729585037328's digits is 85
- More coming soon!
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