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54123233232145 = 57117313733142467
BaseRepresentation
bin11000100111001100011000…
…00101110100010100010001
321002122010112011220210021011
430103212030011310110101
524043223340201412040
6311035511535130521
714254163113546360
oct1423461405642421
9232563464823234
1054123233232145
1116277597195a60
1260a1541373a41
132427a5050b78c
14d518154497d7
1563cd098853ea
hex31398c174511

54123233232145 has 128 divisors (see below), whose sum is σ = 82934108762112. Its totient is φ = 32933504102400.

The previous prime is 54123233232143. The next prime is 54123233232197.

54123233232145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54123233232145 - 21 = 54123233232143 is a prime.

It is a super-2 number, since 2×541232332321452 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 54123233232098 and 54123233232107.

It is not an unprimeable number, because it can be changed into a prime (54123233232143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1274456202 + ... + 1274498668.

It is an arithmetic number, because the mean of its divisors is an integer number (647922724704).

Almost surely, 254123233232145 is an apocalyptic number.

54123233232145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54123233232145 is a deficient number, since it is larger than the sum of its proper divisors (28810875529967).

54123233232145 is a wasteful number, since it uses less digits than its factorization.

54123233232145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43031.

The product of its digits is 518400, while the sum is 40.

It can be divided in two parts, 5412323 and 3232145, that added together give a palindrome (8644468).

The spelling of 54123233232145 in words is "fifty-four trillion, one hundred twenty-three billion, two hundred thirty-three million, two hundred thirty-two thousand, one hundred forty-five".

Divisors: 1 5 7 11 35 55 73 77 137 331 365 385 511 685 803 959 1507 1655 2317 2555 3641 4015 4795 5621 7535 10001 10549 11585 18205 24163 25487 28105 42467 45347 50005 52745 70007 110011 120815 127435 169141 212335 226735 265793 297269 317429 350035 467137 498817 550055 770077 845705 1328965 1486345 1587145 1860551 2335685 2494085 3100091 3269959 3310331 3491719 3850385 5817979 9302755 14056577 15500455 16349795 16551655 17458595 21700637 23172317 29089895 34101001 36413641 40725853 63997769 70282885 98396039 108503185 115861585 154622347 170505005 182068205 203629265 238707007 254895487 319988845 424712467 447984383 491980195 773111735 1026130121 1082356429 1193535035 1274477435 1925751049 2123562335 2239921915 2972987269 4671837137 5130650605 5411782145 7182910847 9628755245 11287431331 13480257343 14864936345 21183261539 23359185685 32702859959 35914554235 56437156655 67401286715 79012019317 105916307695 140579826577 148282830773 163514299795 395060096585 702899132885 741414153865 984058786039 1546378092347 4920293930195 7731890461735 10824646646429 54123233232145