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29344587412141 is a prime number
BaseRepresentation
bin1101010110000010100011…
…01101010111001010101101
310211220022111202021120200001
412223001101231113022231
512321240203334142031
6142224414540504301
76116035142331001
oct653012155271255
9124808452246601
1029344587412141
119393a73645101
12335b216b4b091
13134b24b585421
147363dd9d4701
1535d4c0311861
hex1ab051b572ad

29344587412141 has 2 divisors, whose sum is σ = 29344587412142. Its totient is φ = 29344587412140.

The previous prime is 29344587412139. The next prime is 29344587412229. The reversal of 29344587412141 is 14121478544392.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24151612396041 + 5192975016100 = 4914429^2 + 2278810^2 .

It is a cyclic number.

It is not a de Polignac number, because 29344587412141 - 21 = 29344587412139 is a prime.

It is a super-2 number, since 2×293445874121412 (a number of 28 digits) contains 22 as substring.

Together with 29344587412139, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (29344587412111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14672293706070 + 14672293706071.

It is an arithmetic number, because the mean of its divisors is an integer number (14672293706071).

Almost surely, 229344587412141 is an apocalyptic number.

It is an amenable number.

29344587412141 is a deficient number, since it is larger than the sum of its proper divisors (1).

29344587412141 is an equidigital number, since it uses as much as digits as its factorization.

29344587412141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7741440, while the sum is 55.

The spelling of 29344587412141 in words is "twenty-nine trillion, three hundred forty-four billion, five hundred eighty-seven million, four hundred twelve thousand, one hundred forty-one".