138315494953125
138,315,494,953,125 is an odd composite number composed of five prime numbers multiplied together.
138315494953125 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred divisors.
Prime factorization of 138315494953125:
34 × 56 × 74 × 23 × 1979
(3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 23 × 1979)See below for interesting mathematical facts about the number 138315494953125 from the Numbermatics database.
Names of 138315494953125
- Cardinal: 138315494953125 can be written as One hundred thirty-eight trillion, three hundred fifteen billion, four hundred ninety-four million, nine hundred fifty-three thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.38315494953125 × 1014
Factors of 138315494953125
Divisors of 138315494953125
- Number of divisors d(n): 700
-
Complete list of divisors:
1 3 5 7 9 15 21 23 25 27 35 45 49 63 69 75 81 105 115 125 135 147 161 175 189 207 225 245 315 343 345 375 405 441 483 525 567 575 621 625 675 735 805 875 945 1029 1035 1125 1127 1225 1323 1449 1575 1715 1725 1863 1875 1979 2025 2205 2401 2415 2625 2835 2875 3087 3105 3125 3375 3381 3675 3969 4025 4347 4375 4725 5145 5175 5625 5635 5937 6125 6615 7203 7245 7875 7889 8575 8625 9261 9315 9375 9895 10125 10143 11025 12005 12075 13041 13125 13853 14175 14375 15435 15525 15625 16875 16905 17811 18375 19845 20125 21609 21735 21875 23625 23667 25725 25875 27783 28125 28175 29685 30429 30625 33075 36015 36225 39375 39445 41559 42875 43125 45517 46305 46575 46875 49475 50625 50715 53433 55125 55223 60025 60375 64827 65205 65625 69265 70875 71001 71875 77175 77625 84375 84525 89055 91287 91875 96971 99225 100625 108045 108675 109375 118125 118335 124677 128625 129375 136551 138915 140625 140875 148425 152145 153125 160299 165375 165669 180075 181125 194481 196875 197225 207795 213003 214375 215625 227585 231525 232875 247375 253125 253575 267165 275625 276115 290913 300125 301875 318619 324135 326025 328125 346325 354375 355005 359375 374031 385875 388125 409653 421875 422625 445275 456435 459375 484855 496125 497007 503125 540225 543375 590625 591675 623385 639009 643125 646875 678797 682755 694575 704375 742125 760725 765625 801495 826875 828345 872739 900375 905625 955857 972405 984375 986125 1038975 1065015 1071875 1078125 1122093 1137925 1157625 1164375 1228959 1236875 1265625 1267875 1335825 1378125 1380575 1454565 1491021 1500625 1509375 1593095 1620675 1630125 1731625 1771875 1775025 1870155 1929375 1940625 2036391 2048265 2113125 2226375 2230333 2282175 2296875 2424275 2480625 2485035 2515625 2618217 2701125 2716875 2867571 2953125 2958375 3116925 3195045 3215625 3234375 3393985 3413775 3472875 3521875 3686877 3710625 3803625 4007475 4134375 4141725 4363695 4473063 4501875 4528125 4751579 4779285 4862025 4930625 5194875 5325075 5359375 5610465 5689625 5788125 5821875 6109173 6144795 6184375 6339375 6679125 6690999 6890625 6902875 7272825 7455105 7503125 7546875 7854651 7965475 8103375 8150625 8602713 8658125 8859375 8875125 9350775 9646875 9703125 10181955 10241325 10565625 11131875 11151665 11410875 12121375 12403125 12425175 13091085 13505625 13584375 14254737 14337855 14791875 15584625 15612331 15975225 16078125 16969925 17068875 17364375 17609375 18327519 18434385 18553125 19018125 20037375 20072997 20671875 20708625 21818475 22365315 22509375 22640625 23757895 23896425 24310125 24653125 25808139 25974375 26625375 28052325 28448125 28940625 29109375 30545865 30723975 30921875 31696875 33395625 33454995 34514375 36364125 37275525 37515625 39273255 39827375 40516875 40753125 42764211 43013565 43290625 44375625 46753875 46836993 48234375 50909775 51206625 52828125 54982557 55659375 55758325 57054375 60218991 60606875 62015625 62125875 65455425 67528125 67921875 71273685 71689275 73959375 77923125 78061655 79876125 84849625 85344375 86821875 91637595 92171925 92765625 95090625 100186875 100364985 103543125 109092375 109286317 111826575 112546875 118789475 119482125 121550625 123265625 128292633 129040695 129871875 133126875 140261625 140510979 142240625 144703125 152729325 153619875 158484375 166978125 167274975 172571875 180656973 181820625 186377625 196366275 199136875 202584375 203765625 213821055 215067825 216453125 221878125 233769375 234184965 254548875 256033125 274912785 278296875 278791625 285271875 301094955 303034375 310629375 327277125 327858951 337640625 356368425 358446375 369796875 384877899 389615625 390308275 399380625 421532937 424248125 426721875 434109375 458187975 460859625 475453125 500934375 501824925 517715625 545461875 546431585 559132875 593947375 597410625 607753125 641463165 645203475 649359375 665634375 701308125 702554895 711203125 763646625 768099375 834890625 836374875 862859375 903284865 909103125 931888125 981831375 983576853 995684375 1012921875 1069105275 1075339125 1109390625 1168846875 1170924825 1264598811 1272744375 1280165625 1374563925 1393958125 1426359375 1505474775 1515171875 1553146875 1636385625 1639294755 1781842125 1792231875 1924389495 1948078125 1951541375 1996903125 2107664685 2121240625 2133609375 2290939875 2304298125 2504671875 2509124625 2588578125 2727309375 2732157925 2795664375 2950730559 2969736875 2987053125 3038765625 3207315825 3226017375 3328171875 3506540625 3512774475 3818233125 3840496875 4181874375 4516424325 4545515625 4659440625 4909156875 4917884265 4978421875 5345526375 5376695625 5844234375 5854624125 6322994055 6363721875 6400828125 6872819625 6969790625 7527373875 7765734375 8181928125 8196473775 8852191677 8909210625 8961159375 9621947475 9757706875 9984515625 10538323425 10606203125 11454699375 11521490625 12545623125 13636546875 13660789625 13978321875 14753652795 14848684375 14935265625 16036579125 16130086875 17532703125 17563872375 19091165625 19202484375 20909371875 22582121625 23297203125 24545784375 24589421325 26727631875 26883478125 29273120625 31614970275 31818609375 34364098125 34848953125 37636869375 40909640625 40982368875 44260958385 44546053125 44805796875 48109737375 48788534375 52691617125 57273496875 57607453125 62728115625 68303948125 69891609375 73768263975 74243421875 80182895625 80650434375 87819361875 95455828125 104546859375 112910608125 122728921875 122947106625 133638159375 134417390625 146365603125 158074851375 171820490625 188184346875 204911844375 221304791925 222730265625 240548686875 243942671875 263458085625 286367484375 313640578125 341519740625 368841319875 400914478125 403252171875 439096809375 564553040625 614735533125 668190796875 731828015625 790374256875 859102453125 940921734375 1024559221875 1106523959625 1202743434375 1317290428125 1707598703125 1844206599375 2004572390625 2195484046875 2822765203125 3073677665625 3951871284375 5122796109375 5532619798125 6013717171875 6586452140625 9221032996875 15368388328125 19759356421875 27663098990625 46105164984375 138315494953125
- Sum of all divisors σ(n): 314557026743520
- Sum of proper divisors (its aliquot sum) s(n): 176241531790395
- 138315494953125 is an abundant number, because the sum of its proper divisors (176241531790395) is greater than itself. Its abundance is 37926036837270
Bases of 138315494953125
- Binary: 111110111001100000101011111000110010000101001012
- Hexadecimal: 0x7DCC15F190A5
- Base-36: 1D119EHTB9
Squares and roots of 138315494953125
- 138315494953125 squared (1383154949531252) is 19131176144127947345947265625
- 138315494953125 cubed (1383154949531253) is 2646138097410474498732634756977081298828125
-
The
square root of 138315494953125 is 11760760.8152332135 -
The
cube root of 138315494953125 is 51715.8434025803
Scales and comparisons
How big is 138315494953125?- 138,315,494,953,125 seconds is equal to 4,398,004 years, 46 weeks, 6 days, 4 hours, 18 minutes, 45 seconds.
-
To count from 1 to 138,315,494,953,125 would take you about ten million, nine hundred ninety-five thousand and twelve 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 138315494953125 cubic inches would be around 4309.7 feet tall.
Recreational maths with 138315494953125
- 138315494953125 backwards is 521359494513831
- 138315494953125 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138315494953125's digits is 63
- More coming soon!
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The information we have on file for 138315494953125 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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