138364039125
138,364,039,125 is an odd composite number composed of six prime numbers multiplied together.
What does the number 138364039125 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 384 divisors.
138364039125 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138364039125:
32 × 53 × 133 × 17 × 37 × 89
(3 × 3 × 5 × 5 × 5 × 13 × 13 × 13 × 17 × 37 × 89)See below for interesting mathematical facts about the number 138364039125 from the Numbermatics database.
Names of 138364039125
- Cardinal: 138364039125 can be written as One hundred thirty-eight billion, three hundred sixty-four million, thirty-nine thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.38364039125 × 1011
Factors of 138364039125
Divisors of 138364039125
- Number of divisors d(n): 384
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Complete list of divisors:
1 3 5 9 13 15 17 25 37 39 45 51 65 75 85 89 111 117 125 153 169 185 195 221 225 255 267 325 333 375 425 445 481 507 555 585 629 663 765 801 845 925 975 1105 1125 1157 1275 1335 1443 1513 1521 1625 1665 1887 1989 2125 2197 2225 2405 2535 2775 2873 2925 3145 3293 3315 3471 3825 4005 4225 4329 4539 4625 4875 5525 5661 5785 6253 6375 6591 6675 7215 7565 7605 8177 8325 8619 9435 9879 9945 10413 10985 11125 12025 12675 13617 13875 14365 14625 15041 15725 16465 16575 17355 18759 19125 19669 19773 20025 21125 21645 22695 24531 25857 27625 28305 28925 29637 31265 32955 33375 36075 37349 37825 38025 40885 41625 42809 43095 45123 47175 49395 49725 52065 54925 55981 56277 59007 60125 63375 68085 71825 73593 75205 78625 81289 82325 82875 86775 93795 98345 98865 100125 106301 108225 112047 113475 122655 128427 129285 135369 141525 144625 148185 156325 164775 167943 177021 180375 186745 189125 190125 195533 204425 214045 215475 225615 235875 243867 246975 248625 255697 260325 274625 279905 281385 295035 318903 336141 340425 359125 367965 376025 385281 406445 411625 433875 468975 491725 494325 503829 531505 541125 556517 560235 567375 586599 613275 642135 646425 676845 707625 727753 731601 740925 767091 781625 823875 839715 885105 933725 956709 977665 1022125 1070225 1077375 1128075 1219335 1234875 1278485 1301625 1381913 1399525 1406925 1475175 1594515 1669551 1680705 1702125 1759797 1839825 1880125 1926405 2032225 2183259 2301273 2344875 2458625 2471625 2519145 2657525 2782585 2801175 2932995 3066375 3210675 3232125 3324061 3384225 3638765 3658005 3704625 3835455 4145739 4198575 4425525 4668625 4783545 4888325 5008653 5351125 5640375 6096675 6392425 6549777 6909565 6997625 7034625 7234721 7375875 7972575 8347755 8403525 8798985 9199125 9460789 9632025 9972183 10161125 10916295 11506365 12437217 12595725 13287625 13912925 14005875 14664975 16053375 16620305 16921125 18193825 18290025 19177275 20728695 20992875 21704163 22127625 23917725 24441625 25043265 28382367 29916549 30483375 31962125 32748885 34547825 36173605 39862875 41738775 42017625 43994925 47303945 48160125 49860915 54581475 57531825 62186085 62978625 65112489 69564625 73324875 83101525 85147101 90969125 91450125 95886375 103643475 108520815 119588625 122990257 125216325 141911835 149582745 163744425 172739125 180868025 208693875 219974625 236519725 249304575 272907375 287659125 310930425 325562445 368970771 415507625 425735505 518217375 542604075 614951285 626081625 709559175 747913725 818722125 904340125 1106912313 1182598625 1246522875 1554652125 1627812225 1844853855 2128677525 2713020375 3074756425 3547795875 3739568625 5534561565 8139061125 9224269275 10643387625 15373782125 27672807825 46121346375 138364039125
- Sum of all divisors σ(n): 297127958400
- Sum of proper divisors (its aliquot sum) s(n): 158763919275
- 138364039125 is an abundant number, because the sum of its proper divisors (158763919275) is greater than itself. Its abundance is 20399880150
Bases of 138364039125
- Binary: 100000001101110010001110101111110101012
- Hexadecimal: 0x203723AFD5
- Base-36: 1RKADJV9
Squares and roots of 138364039125
- 138364039125 squared (1383640391252) is 19144607322984530765625
- 138364039125 cubed (1383640391253) is 2648925196670193126624703705078125
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The
square root of 138364039125 is 371973.1698993893 -
The
cube root of 138364039125 is 5172.1892879413
Scales and comparisons
How big is 138364039125?- 138,364,039,125 seconds is equal to 4,399 years, 28 weeks, 3 days, 15 hours, 18 minutes, 45 seconds.
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To count from 1 to 138,364,039,125 would take you about eight thousand, seven hundred ninety-nine 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 138364039125 cubic inches would be around 431 feet tall.
Recreational maths with 138364039125
- 138364039125 backwards is 521930463831
- 138364039125 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138364039125's digits is 45
- More coming soon!
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