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41142916429 is a prime number
BaseRepresentation
bin100110010100010011…
…110001010101001101
310221012022122201002121
4212110103301111031
51133230041311204
630522323252541
72654363006446
oct462423612515
9127168581077
1041142916429
11164a311607a
127b8281a151
133b58aab384
141dc42bc2cd
15110bee8b54
hex9944f154d

41142916429 has 2 divisors, whose sum is σ = 41142916430. Its totient is φ = 41142916428.

The previous prime is 41142916427. The next prime is 41142916481. The reversal of 41142916429 is 92461924114.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36829448100 + 4313468329 = 191910^2 + 65677^2 .

It is a cyclic number.

It is not a de Polignac number, because 41142916429 - 21 = 41142916427 is a prime.

It is a super-3 number, since 3×411429164293 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 41142916427, 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 (41142916421) 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 as a sum of consecutive naturals, namely, 20571458214 + 20571458215.

It is an arithmetic number, because the mean of its divisors is an integer number (20571458215).

Almost surely, 241142916429 is an apocalyptic number.

It is an amenable number.

41142916429 is a deficient number, since it is larger than the sum of its proper divisors (1).

41142916429 is an equidigital number, since it uses as much as digits as its factorization.

41142916429 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 124416, while the sum is 43.

The spelling of 41142916429 in words is "forty-one billion, one hundred forty-two million, nine hundred sixteen thousand, four hundred twenty-nine".