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141214041441 = 3311475468153
BaseRepresentation
bin1000001110000100000…
…0110100010101100001
3111111111110010120112000
42003201000310111201
54303201243311231
6144512310554213
713126262355504
oct2034100642541
9444443116460
10141214041441
1154985710480
1223450368969
1310416261705
146b9897513b
153a175d26e6
hex20e1034561

141214041441 has 16 divisors (see below), whose sum is σ = 228224713920. Its totient is φ = 85584267360.

The previous prime is 141214041439. The next prime is 141214041443. The reversal of 141214041441 is 144140412141.

141214041441 is a `hidden beast` number, since 1 + 4 + 1 + 214 + 0 + 4 + 1 + 441 = 666.

It is an interprime number because it is at equal distance from previous prime (141214041439) and next prime (141214041443).

It is not a de Polignac number, because 141214041441 - 21 = 141214041439 is a prime.

It is a super-3 number, since 3×1412140414413 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (141214041443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237733780 + ... + 237734373.

It is an arithmetic number, because the mean of its divisors is an integer number (14264044620).

Almost surely, 2141214041441 is an apocalyptic number.

141214041441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

141214041441 is a deficient number, since it is larger than the sum of its proper divisors (87010672479).

141214041441 is a wasteful number, since it uses less digits than its factorization.

141214041441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475468173 (or 475468167 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 141214041441 its reverse (144140412141), we get a palindrome (285354453582).

The spelling of 141214041441 in words is "one hundred forty-one billion, two hundred fourteen million, forty-one thousand, four hundred forty-one".

Divisors: 1 3 9 11 27 33 99 297 475468153 1426404459 4279213377 5230149683 12837640131 15690449049 47071347147 141214041441