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54142455234401 is a prime number
BaseRepresentation
bin11000100111110000001011…
…10011111011111101100001
321002200222010210111200020122
430103320011303323331201
524044032222020000101
6311052411153250025
714255443341065312
oct1423700563737541
9232628123450218
1054142455234401
1116284760541836
1260a5206863915
1324297c4968101
14d5271a292609
1563d58217351b
hex313e05cfbf61

54142455234401 has 2 divisors, whose sum is σ = 54142455234402. Its totient is φ = 54142455234400.

The previous prime is 54142455234383. The next prime is 54142455234443. The reversal of 54142455234401 is 10443255424145.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 46096291830625 + 8046163403776 = 6789425^2 + 2836576^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-54142455234401 is a prime.

It is a super-3 number, since 3×541424552344013 (a number of 42 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (54142455234481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27071227617200 + 27071227617201.

It is an arithmetic number, because the mean of its divisors is an integer number (27071227617201).

Almost surely, 254142455234401 is an apocalyptic number.

It is an amenable number.

54142455234401 is a deficient number, since it is larger than the sum of its proper divisors (1).

54142455234401 is an equidigital number, since it uses as much as digits as its factorization.

54142455234401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1536000, while the sum is 44.

The spelling of 54142455234401 in words is "fifty-four trillion, one hundred forty-two billion, four hundred fifty-five million, two hundred thirty-four thousand, four hundred one".