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543414424414345 = 511236714747165961
BaseRepresentation
bin111101110001110111000011…
…1101110111010100010001001
32122021001220121120102110210021
41323203232013232322202021
51032211300220122224340
65203425050143020441
7222314253006622621
oct17343560756724211
92567056546373707
10543414424414345
1114816a843884a00
1250b4543329a721
131a42a9b66175a3
1498295815c5881
1542c56c9c72e4a
hex1ee3b87bba889

543414424414345 has 48 divisors (see below), whose sum is σ = 718774231198464. Its totient is φ = 394104521606400.

The previous prime is 543414424414327. The next prime is 543414424414361.

543414424414345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 543414424414345 - 213 = 543414424406153 is a prime.

It is a super-3 number, since 3×5434144244143453 (a number of 45 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 543414424414292 and 543414424414301.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3274267165 + ... + 3274433125.

It is an arithmetic number, because the mean of its divisors is an integer number (14974463149968).

Almost surely, 2543414424414345 is an apocalyptic number.

543414424414345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

543414424414345 is a deficient number, since it is larger than the sum of its proper divisors (175359806784119).

543414424414345 is a wasteful number, since it uses less digits than its factorization.

543414424414345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181102 (or 181091 counting only the distinct ones).

The product of its digits is 29491200, while the sum is 52.

The spelling of 543414424414345 in words is "five hundred forty-three trillion, four hundred fourteen billion, four hundred twenty-four million, four hundred fourteen thousand, three hundred forty-five".

Divisors: 1 5 11 55 121 367 605 1835 4037 14747 20185 44407 73735 162217 165961 222035 811085 829805 1784387 1825571 5412149 8921935 9127855 20081281 27060745 59533639 60907687 100406405 297668195 304538435 654870029 669984557 2447426867 3274350145 3349922785 7369830127 12237134335 26921695537 36849150635 134608477685 296138650907 898205660189 1480693254535 4491028300945 9880262262079 49401311310395 108682884882869 543414424414345