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14262107301 = 3213137889769
BaseRepresentation
bin11010100100001011…
…00111110010100101
31100210221200010012100
431102011213302211
5213202044413201
610315114242313
71013266624521
oct152205476245
940727603170
1014262107301
116059651342
122920426399
131463a00360
14994224d81
15587159886
hex352167ca5

14262107301 has 24 divisors (see below), whose sum is σ = 22347463320. Its totient is φ = 8712608256.

The previous prime is 14262107227. The next prime is 14262107303. The reversal of 14262107301 is 10370126241.

14262107301 is a `hidden beast` number, since 1 + 4 + 2 + 621 + 0 + 7 + 30 + 1 = 666.

14262107301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 35820225 + 14226287076 = 5985^2 + 119274^2 .

It is not a de Polignac number, because 14262107301 - 223 = 14253718693 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14262107303) 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 23 ways as a sum of consecutive naturals, for example, 428856 + ... + 460913.

It is an arithmetic number, because the mean of its divisors is an integer number (931144305).

Almost surely, 214262107301 is an apocalyptic number.

It is an amenable number.

14262107301 is a deficient number, since it is larger than the sum of its proper divisors (8085356019).

14262107301 is a wasteful number, since it uses less digits than its factorization.

14262107301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889925 (or 889922 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 14262107301 in words is "fourteen billion, two hundred sixty-two million, one hundred seven thousand, three hundred one".

Divisors: 1 3 9 13 39 117 137 411 1233 1781 5343 16029 889769 2669307 8007921 11566997 34700991 104102973 121898353 365695059 1097085177 1584678589 4754035767 14262107301