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14046145201 = 1171157114553
BaseRepresentation
bin11010001010011011…
…10010101010110001
31100020220022002220001
431011031302222301
5212231303121301
610241441350001
71005035156434
oct150515625261
940226262801
1014046145201
115a58756870
122880038301
13142b04782a
1497368981b
155731eac01
hex345372ab1

14046145201 has 16 divisors (see below), whose sum is σ = 15637995648. Its totient is φ = 12509078400.

The previous prime is 14046145199. The next prime is 14046145213. The reversal of 14046145201 is 10254164041.

14046145201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 14046145201 - 21 = 14046145199 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14046145201.

It is not an unprimeable number, because it can be changed into a prime (14046145231) 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, 65341 + ... + 179893.

It is an arithmetic number, because the mean of its divisors is an integer number (977374728).

Almost surely, 214046145201 is an apocalyptic number.

14046145201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14046145201 is a deficient number, since it is larger than the sum of its proper divisors (1591850447).

14046145201 is a wasteful number, since it uses less digits than its factorization.

14046145201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114792.

The product of its (nonzero) digits is 3840, while the sum is 28.

The spelling of 14046145201 in words is "fourteen billion, forty-six million, one hundred forty-five thousand, two hundred one".

Divisors: 1 11 71 157 781 1727 11147 114553 122617 1260083 8133263 17984821 89465893 197833031 1276922291 14046145201