138086578231875
138,086,578,231,875 is an odd composite number composed of six prime numbers multiplied together.
What does the number 138086578231875 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 360 divisors.
138086578231875 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 138086578231875:
32 × 54 × 7 × 13 × 89 × 17412
(3 × 3 × 5 × 5 × 5 × 5 × 7 × 13 × 89 × 1741 × 1741)See below for interesting mathematical facts about the number 138086578231875 from the Numbermatics database.
Names of 138086578231875
- Cardinal: 138086578231875 can be written as One hundred thirty-eight trillion, eighty-six billion, five hundred seventy-eight million, two hundred thirty-one thousand, eight hundred seventy-five.
Scientific notation
- Scientific notation: 1.38086578231875 × 1014
Factors of 138086578231875
Divisors of 138086578231875
- Number of divisors d(n): 360
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Complete list of divisors:
1 3 5 7 9 13 15 21 25 35 39 45 63 65 75 89 91 105 117 125 175 195 225 267 273 315 325 375 445 455 525 585 623 625 801 819 875 975 1125 1157 1335 1365 1575 1625 1741 1869 1875 2225 2275 2625 2925 3115 3471 4005 4095 4375 4875 5223 5607 5625 5785 6675 6825 7875 8099 8125 8705 9345 10413 11125 11375 12187 13125 14625 15575 15669 17355 20025 20475 22633 24297 24375 26115 28035 28925 33375 34125 36561 39375 40495 43525 46725 52065 55625 56875 60935 67899 72891 73125 77875 78345 86775 100125 102375 109683 113165 121485 130575 140175 144625 154949 158431 166875 170625 182805 202475 203697 217625 233625 260325 304675 339495 364455 389375 391725 433875 464847 475293 500625 511875 548415 565825 607425 652875 700875 723125 774745 792155 914025 1012375 1018485 1084643 1088125 1168125 1301625 1394541 1425879 1523375 1697475 1822275 1958625 2014337 2169375 2324235 2376465 2742075 2829125 3031081 3037125 3253929 3264375 3504375 3873725 3960775 4570125 5061875 5092425 5423215 6043011 6508125 6972705 7129395 7616875 8487375 9093243 9111375 9761787 9793125 10071685 11621175 11882325 13710375 14100359 14145625 15155405 15185625 16269645 18129033 19368625 19803875 21217567 22850625 25462125 27116075 27279729 30215055 34863525 35646975 39404053 42301077 42436875 45466215 45556875 48808935 50358425 58105875 59411625 63652701 68551875 70501795 75777025 81348225 90645165 96843125 99019375 106087835 118212159 126903231 127310625 135580375 136398645 151075275 174317625 178234875 190958103 197020265 211505385 227331075 244044675 251792125 269766209 275828371 290529375 297058125 318263505 352508975 354636477 378885125 406741125 453225825 530439175 591060795 634516155 677901875 681993225 755376375 809298627 827485113 871588125 891174375 954790515 985101325 1057526925 1136655375 1220223375 1258960625 1348831045 1379141855 1591317525 1762544875 1773182385 1888363463 1894425625 2033705625 2266129125 2427895881 2482455339 2652195875 2955303975 3172580775 3409966125 3506960717 3776881875 4046493135 4137425565 4773952575 4925506625 5287634625 5665090389 5683276875 6101116875 6744155225 6895709275 7956587625 8812724375 8865911925 9441817315 10520882151 11330645625 12139479405 12412276695 13260979375 14776519875 15862903875 16995271167 17049830625 17534803585 20232465675 20687127825 23869762875 24548725019 24627533125 26438173125 28325451945 31562646453 33720776125 34478546375 39782938125 44329559625 47209086575 52604410755 60697397025 62061383475 73646175057 73882599375 79314519375 84976355835 87674017925 101162328375 103435639125 119348814375 122743625095 141627259725 157813232265 168603880625 172392731875 220938525171 221647798125 236045432875 263022053775 303486985125 310306917375 368230875285 424881779175 438370089625 505811641875 517178195625 613718125475 708136298625 789066161325 1104692625855 1180227164375 1315110268875 1517434925625 1551534586875 1841154376425 2124408895875 2191850448125 3068590627375 3540681493125 3945330806625 5523463129275 6575551344375 9205771882125 10622044479375 15342953136875 19726654033125 27617315646375 46028859410625 138086578231875
- Sum of all divisors σ(n): 310385899343520
- Sum of proper divisors (its aliquot sum) s(n): 172299321111645
- 138086578231875 is an abundant number, because the sum of its proper divisors (172299321111645) is greater than itself. Its abundance is 34212742879770
Bases of 138086578231875
- Binary: 111110110010110110010010111000110011010010000112
- Hexadecimal: 0x7D96C9719A43
- Base-36: 1CY43JE0QR
Squares and roots of 138086578231875
- 138086578231875 squared (1380865782318752) is 19067903087787734601266015625
- 138086578231875 cubed (1380865782318753) is 2633021491449611889941799526019338623046875
-
The
square root of 138086578231875 is 11751024.5609425479 -
The
cube root of 138086578231875 is 51687.2971710645
Scales and comparisons
How big is 138086578231875?- 138,086,578,231,875 seconds is equal to 4,390,726 years, 3 weeks, 2 hours, 11 minutes, 15 seconds.
-
To count from 1 to 138,086,578,231,875 would take you about ten million, nine hundred seventy-six thousand, eight hundred fifteen 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 138086578231875 cubic inches would be around 4307.3 feet tall.
Recreational maths with 138086578231875
- 138086578231875 backwards is 578132875680831
- The number of decimal digits it has is: 15
- The sum of 138086578231875's digits is 72
- More coming soon!
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