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14141346101 = 257385314281
BaseRepresentation
bin11010010101110001…
…11101000100110101
31100111112102210222022
431022320331010311
5212430141033401
610255122042525
71010302313201
oct151270750465
940445383868
1014141346101
115aa746a6a3
1228a7aa9445
13144499ab1c
1498218bb01
1557b75371b
hex34ae3d135

14141346101 has 8 divisors (see below), whose sum is σ = 14201049624. Its totient is φ = 14081679360.

The previous prime is 14141346097. The next prime is 14141346127. The reversal of 14141346101 is 10164314141.

It can be written as a sum of positive squares in 4 ways, for example, as 5598780625 + 8542565476 = 74825^2 + 92426^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 14141346101 - 22 = 14141346097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14141346301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 983081 + ... + 997361.

It is an arithmetic number, because the mean of its divisors is an integer number (1775131203).

Almost surely, 214141346101 is an apocalyptic number.

It is an amenable number.

14141346101 is a deficient number, since it is larger than the sum of its proper divisors (59703523).

14141346101 is a wasteful number, since it uses less digits than its factorization.

14141346101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18391.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 14141346101 in words is "fourteen billion, one hundred forty-one million, three hundred forty-six thousand, one hundred one".

Divisors: 1 257 3853 14281 990221 3670217 55024693 14141346101