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314112020211413 = 43205330411170067
BaseRepresentation
bin100011101101011101110011…
…1011000100110011011010101
31112012011211000202122220001122
41013122323213120212123111
5312132402404133231123
63032021023041133325
7123106562453212244
oct10732734730463325
91465154022586048
10314112020211413
11910a4183586a26
122b29102002a245
1310636837258718
14577d1624c495b
15264ab93daabc8
hex11daee76266d5

314112020211413 has 16 divisors (see below), whose sum is σ = 321679531457856. Its totient is φ = 306556543157760.

The previous prime is 314112020211317. The next prime is 314112020211419.

It is a happy number.

314112020211413 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 314112020211413 - 212 = 314112020207317 is a prime.

It is a super-2 number, since 2×3141120202114132 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314112020211419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267871406 + ... + 269041472.

It is an arithmetic number, because the mean of its divisors is an integer number (20104970716116).

Almost surely, 2314112020211413 is an apocalyptic number.

It is an amenable number.

314112020211413 is a deficient number, since it is larger than the sum of its proper divisors (7567511246443).

314112020211413 is a wasteful number, since it uses less digits than its factorization.

314112020211413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175204.

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

The spelling of 314112020211413 in words is "three hundred fourteen trillion, one hundred twelve billion, twenty million, two hundred eleven thousand, four hundred thirteen".

Divisors: 1 43 2053 3041 88279 130763 1170067 6243173 50312881 268456439 2402147551 3558173747 103292344693 153001471121 7304930702591 314112020211413