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4145340055001 is a prime number
BaseRepresentation
bin111100010100101001100…
…001010111110111011001
3112200021211212122111000012
4330110221201113313121
51020404124023230001
612452202023451305
7605330251043645
oct74245141276731
915607755574005
104145340055001
111359035435102
1256b489bb6b35
13240b99acc992
141048c7c6bc25
1572c6a9052bb
hex3c529857dd9

4145340055001 has 2 divisors, whose sum is σ = 4145340055002. Its totient is φ = 4145340055000.

The previous prime is 4145340054997. The next prime is 4145340055009. The reversal of 4145340055001 is 1005500435414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2345342165401 + 1799997889600 = 1531451^2 + 1341640^2 .

It is a cyclic number.

It is not a de Polignac number, because 4145340055001 - 22 = 4145340054997 is a prime.

It is a super-3 number, since 3×41453400550013 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (4145340055009) 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, 2072670027500 + 2072670027501.

It is an arithmetic number, because the mean of its divisors is an integer number (2072670027501).

Almost surely, 24145340055001 is an apocalyptic number.

It is an amenable number.

4145340055001 is a deficient number, since it is larger than the sum of its proper divisors (1).

4145340055001 is an equidigital number, since it uses as much as digits as its factorization.

4145340055001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24000, while the sum is 32.

The spelling of 4145340055001 in words is "four trillion, one hundred forty-five billion, three hundred forty million, fifty-five thousand, one".