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14013145251 = 327534196809
BaseRepresentation
bin11010000110011111…
…11010000010100011
31100011121012112110200
431003033322002203
5212144331122001
610234302200243
71004154524610
oct150317720243
940147175420
1014013145251
115a41067486
122870b83083
131424262231
1496d139507
1557037d086
hex3433fa0a3

14013145251 has 24 divisors (see below), whose sum is σ = 23569284960. Its totient is φ = 7856424576.

The previous prime is 14013145229. The next prime is 14013145277. The reversal of 14013145251 is 15254131041.

14013145251 is a `hidden beast` number, since 1 + 4 + 0 + 131 + 4 + 525 + 1 = 666.

14013145251 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14013145251 - 27 = 14013145123 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14013145051) 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, 2095066 + ... + 2101743.

It is an arithmetic number, because the mean of its divisors is an integer number (982053540).

Almost surely, 214013145251 is an apocalyptic number.

14013145251 is a deficient number, since it is larger than the sum of its proper divisors (9556139709).

14013145251 is a wasteful number, since it uses less digits than its factorization.

14013145251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4196875 (or 4196872 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 14013145251 its reverse (15254131041), we get a palindrome (29267276292).

The spelling of 14013145251 in words is "fourteen billion, thirteen million, one hundred forty-five thousand, two hundred fifty-one".

Divisors: 1 3 7 9 21 53 63 159 371 477 1113 3339 4196809 12590427 29377663 37771281 88132989 222430877 264398967 667292631 1557016139 2001877893 4671048417 14013145251