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14146500693 = 3132411505107
BaseRepresentation
bin11010010110011001…
…00111100001010101
31100111220010200202010
431023030213201111
5212433001010233
610255424334433
71010364162153
oct151314474125
940456120663
1014146500693
115aaa370396
1228a9774419
131445a84090
14982b303d3
1557be20b63
hex34b327855

14146500693 has 16 divisors (see below), whose sum is σ = 20397223616. Its totient is φ = 8669410560.

The previous prime is 14146500689. The next prime is 14146500707. The reversal of 14146500693 is 39600564141.

14146500693 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14146500693 - 22 = 14146500689 is a prime.

It is a super-3 number, since 3×141465006933 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14146505693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 743155 + ... + 761952.

It is an arithmetic number, because the mean of its divisors is an integer number (1274826476).

Almost surely, 214146500693 is an apocalyptic number.

14146500693 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

14146500693 is a deficient number, since it is larger than the sum of its proper divisors (6250722923).

14146500693 is a wasteful number, since it uses less digits than its factorization.

14146500693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505364.

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 14146500693 in words is "fourteen billion, one hundred forty-six million, five hundred thousand, six hundred ninety-three".

Divisors: 1 3 13 39 241 723 3133 9399 1505107 4515321 19566391 58699173 362730787 1088192361 4715500231 14146500693