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14144535141 = 3112291871713
BaseRepresentation
bin11010010110001010…
…00111101001100101
31100111202102211111220
431023011013221211
5212432000111031
610255314250553
71010341364532
oct151305075145
940452384456
1014144535141
115aa9248670
1228a8b86a59
131445546529
1498277bd89
1557bb83596
hex34b147a65

14144535141 has 16 divisors (see below), whose sum is σ = 20663722560. Its totient is φ = 8535006720.

The previous prime is 14144535131. The next prime is 14144535227. The reversal of 14144535141 is 14153544141.

14144535141 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 14144535141 - 226 = 14077426277 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14144535131) 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, 928300 + ... + 943413.

It is an arithmetic number, because the mean of its divisors is an integer number (1291482660).

Almost surely, 214144535141 is an apocalyptic number.

14144535141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14144535141 is a deficient number, since it is larger than the sum of its proper divisors (6519187419).

14144535141 is a wasteful number, since it uses less digits than its factorization.

14144535141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871956.

The product of its digits is 19200, while the sum is 33.

The spelling of 14144535141 in words is "fourteen billion, one hundred forty-four million, five hundred thirty-five thousand, one hundred forty-one".

Divisors: 1 3 11 33 229 687 2519 7557 1871713 5615139 20588843 61766529 428622277 1285866831 4714845047 14144535141