138306015818398395
138,306,015,818,398,395 is an odd composite number composed of seven prime numbers multiplied together.
138306015818398395 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 138306015818398395:
32 × 5 × 112 × 131 × 691 × 701 × 400291
(3 × 3 × 5 × 11 × 11 × 131 × 691 × 701 × 400291)See below for interesting mathematical facts about the number 138306015818398395 from the Numbermatics database.
Names of 138306015818398395
- Cardinal: 138306015818398395 can be written as One hundred thirty-eight quadrillion, three hundred six trillion, fifteen billion, eight hundred eighteen million, three hundred ninety-eight thousand, three hundred ninety-five.
Scientific notation
- Scientific notation: 1.38306015818398395 × 1017
Factors of 138306015818398395
Divisors of 138306015818398395
- Number of divisors d(n): 288
-
Complete list of divisors:
1 3 5 9 11 15 33 45 55 99 121 131 165 363 393 495 605 655 691 701 1089 1179 1441 1815 1965 2073 2103 3455 3505 4323 5445 5895 6219 6309 7205 7601 7711 10365 10515 12969 15851 21615 22803 23133 31095 31545 38005 38555 47553 64845 68409 69399 79255 83611 84821 90521 91831 114015 115665 142659 237765 250833 254463 271563 275493 342045 346995 400291 418055 424105 452605 459155 484391 713295 752499 763389 814689 826479 995731 1010141 1200873 1254165 1272315 1357815 1377465 1453173 2001455 2421955 2987193 3030423 3602619 3762495 3816945 4073445 4132395 4359519 4403201 4978655 5050705 5328301 6004365 7265865 8961579 9091269 10953041 11111551 13209603 14935965 15152115 15984903 18013095 21797595 22016005 26641505 32859123 33334653 39628809 44807895 45456345 47954709 48435211 52438121 54765205 55557755 58611311 63455221 66048015 79924515 98577369 100003959 145305633 157314363 164295615 166673265 175833933 190365663 198144045 239773545 242176055 262190605 276601081 280603991 293056555 317276105 435916899 471943089 492886845 500019795 527501799 571096989 576819331 698007431 726528165 786571815 829803243 841811973 879169665 951828315 1383005405 1403019955 1730457993 2094022293 2179584495 2359715445 2489409729 2525435919 2637508995 2855484945 2884096655 3042611891 3086643901 3490037155 4149016215 4209059865 5191373979 6282066879 6345012641 7678081741 8652289965 9127835673 9259931703 10470111465 12447048645 12627179595 15213059455 15433219505 19035037923 23034245223 25956869895 27383507019 27779795109 31410334395 31725063205 33468730801 33953082911 36234741611 36759122821 38390408705 45639178365 46299658515 57105113769 69102735669 95175189615 100406192403 101859248733 108704224833 110277368463 115171226115 136917535095 138898975545 167343654005 169765414555 181173708055 183795614105 193897357781 285525568845 301218577209 305577746199 326112674499 330832105389 345513678345 398582157721 404350351031 502030962015 509296243665 543521124165 551386842315 581692073343 969486788905 1195746473163 1213051053093 1506092886045 1527888730995 1630563372495 1654160526945 1745076220029 1992910788605 2021751755155 2132870935591 2908460366715 3587239419489 3639153159279 4384403734931 4447853861341 5978732365815 6065255265465 6398612806773 8725381100145 10664354677955 13153211204793 13343561584023 17936197097445 18195765796395 19195838420319 21922018674655 22239269306705 23461580291501 25400553869311 31993064033865 39459633614379 40030684752069 65766056023965 66717807920115 70384740874503 76201661607933 95979192101595 117307901457505 127002769346555 197298168071895 200153423760345 211154222623509 228604984823799 279406092562421 351923704372515 381008308039665 838218277687263 1055771113117545 1143024924118995 1397030462812105 2514654833061789 3073467018186631 4191091388436315 9220401054559893 12573274165308945 15367335090933155 27661203163679679 46102005272799465 138306015818398395
- Sum of all divisors σ(n): 266281069187637504
- Sum of proper divisors (its aliquot sum) s(n): 127975053369239109
- 138306015818398395 is a deficient number, because the sum of its proper divisors (127975053369239109) is less than itself. Its deficiency is 10330962449159286
Bases of 138306015818398395
- Binary: 1111010110101110010010110101011110010011110111010101110112
- Hexadecimal: 0x1EB5C96AF27BABB
- Base-36: 11TTE2J2RMWR
Squares and roots of 138306015818398395
- 138306015818398395 squared (1383060158183983952) is 19128554011559067059467782938576025
- 138306015818398395 cubed (1383060158183983953) is 2645594093705776403843509008285242903429377445479875
-
The
square root of 138306015818398395 is 371895167.7803818885 -
The
cube root of 138306015818398395 is 517146.6196674667
Scales and comparisons
How big is 138306015818398395?- 138,306,015,818,398,395 seconds is equal to 4,397,703,494 years, 22 weeks, 2 days, 4 hours, 53 minutes, 15 seconds.
-
To count from 1 to 138,306,015,818,398,395 would take you about thirteen billion, one hundred ninety-three million, one hundred ten thousand, four hundred eighty-three 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 138306015818398395 cubic inches would be around 43095.6 feet tall.
Recreational maths with 138306015818398395
- 138306015818398395 backwards is 593893818510603831
- The number of decimal digits it has is: 18
- The sum of 138306015818398395's digits is 81
- More coming soon!
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