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14144120145 = 325314313781
BaseRepresentation
bin11010010110000111…
…00010010101010001
31100111201122202020200
431023003202111101
5212431343321040
610255301325413
71010335015611
oct151303422521
940451582220
1014144120145
115aa8a948a1
1228a8a06869
13144542c67c
149826b0a41
1557bb00630
hex34b0e2551

14144120145 has 12 divisors (see below), whose sum is σ = 24516474996. Its totient is φ = 7543530720.

The previous prime is 14144120131. The next prime is 14144120153. The reversal of 14144120145 is 54102144141.

It is a happy number.

14144120145 is a `hidden beast` number, since 1 + 414 + 4 + 1 + 201 + 45 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7001672976 + 7142447169 = 83676^2 + 84513^2 .

It is not a de Polignac number, because 14144120145 - 223 = 14135731537 is a prime.

It is a super-2 number, since 2×141441201452 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157156846 + ... + 157156935.

It is an arithmetic number, because the mean of its divisors is an integer number (2043039583).

Almost surely, 214144120145 is an apocalyptic number.

14144120145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14144120145 is a deficient number, since it is larger than the sum of its proper divisors (10372354851).

14144120145 is a wasteful number, since it uses less digits than its factorization.

14144120145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314313792 (or 314313789 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 14144120145 its reverse (54102144141), we get a palindrome (68246264286).

The spelling of 14144120145 in words is "fourteen billion, one hundred forty-four million, one hundred twenty thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 314313781 942941343 1571568905 2828824029 4714706715 14144120145