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12014156125361 = 1310948109176237
BaseRepresentation
bin1010111011010100001110…
…0000100001010010110001
31120112112122012022210002202
42232311003200201102301
53033314442432002421
641315121020552545
72346664663052015
oct256650340412261
946475565283082
1012014156125361
1139121a1a19365
1214205106b2755
13691c12463720
142d76b9ad6545
1515c7b0ae310b
hexaed438214b1

12014156125361 has 16 divisors (see below), whose sum is σ = 13057367677200. Its totient is φ = 10987956488448.

The previous prime is 12014156125333. The next prime is 12014156125373. The reversal of 12014156125361 is 16352165141021.

It can be written as a sum of positive squares in 8 ways, for example, as 828937411600 + 11185218713761 = 910460^2 + 3344431^2 .

It is a cyclic number.

It is not a de Polignac number, because 12014156125361 - 26 = 12014156125297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12014156125331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68082335 + ... + 68258571.

It is an arithmetic number, because the mean of its divisors is an integer number (816085479825).

Almost surely, 212014156125361 is an apocalyptic number.

It is an amenable number.

12014156125361 is a deficient number, since it is larger than the sum of its proper divisors (1043211551839).

12014156125361 is a wasteful number, since it uses less digits than its factorization.

12014156125361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224468.

The product of its (nonzero) digits is 43200, while the sum is 38.

The spelling of 12014156125361 in words is "twelve trillion, fourteen billion, one hundred fifty-six million, one hundred twenty-five thousand, three hundred sixty-one".

Divisors: 1 13 109 1417 48109 176237 625417 2291081 5243881 19209833 68170453 249727829 8478585833 110221615829 924165855797 12014156125361