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14009017121 = 112233496897
BaseRepresentation
bin11010000110000000…
…01010001100100001
31100011022102210201222
431003000022030201
5212142302021441
610234033504425
71004104452341
oct150300121441
940138383658
1014009017121
115a397a7a00
12286b712115
131423448258
1496c782d21
1556ed14d4b
hex34300a321

14009017121 has 12 divisors (see below), whose sum is σ = 15464459556. Its totient is φ = 12680785920.

The previous prime is 14009017097. The next prime is 14009017151. The reversal of 14009017121 is 12171090041.

It can be written as a sum of positive squares in 2 ways, for example, as 5920533025 + 8088484096 = 76945^2 + 89936^2 .

It is a de Polignac number, because none of the positive numbers 2k-14009017121 is a prime.

It is a super-2 number, since 2×140090171212 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14009017151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 220256 + ... + 276641.

It is an arithmetic number, because the mean of its divisors is an integer number (1288704963).

Almost surely, 214009017121 is an apocalyptic number.

14009017121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14009017121 is a deficient number, since it is larger than the sum of its proper divisors (1455442435).

14009017121 is a wasteful number, since it uses less digits than its factorization.

14009017121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497152 (or 497141 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 26.

The spelling of 14009017121 in words is "fourteen billion, nine million, seventeen thousand, one hundred twenty-one".

Divisors: 1 11 121 233 2563 28193 496897 5465867 60124537 115777001 1273547011 14009017121