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405142132841 is a prime number
BaseRepresentation
bin1011110010101000101…
…10100101100001101001
31102201202001101210011022
411321110112211201221
523114212341222331
6510041505542225
741161541210645
oct5712426454151
91381661353138
10405142132841
11146902198966
1266629344975
132c287a72cb4
14158750a1c25
15a81307867b
hex5e545a5869

405142132841 has 2 divisors, whose sum is σ = 405142132842. Its totient is φ = 405142132840.

The previous prime is 405142132799. The next prime is 405142132853. The reversal of 405142132841 is 148231241504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 398039857216 + 7102275625 = 630904^2 + 84275^2 .

It is a cyclic number.

It is not a de Polignac number, because 405142132841 - 210 = 405142131817 is a prime.

It is not a weakly prime, because it can be changed into another prime (405142132541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202571066420 + 202571066421.

It is an arithmetic number, because the mean of its divisors is an integer number (202571066421).

Almost surely, 2405142132841 is an apocalyptic number.

It is an amenable number.

405142132841 is a deficient number, since it is larger than the sum of its proper divisors (1).

405142132841 is an equidigital number, since it uses as much as digits as its factorization.

405142132841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30720, while the sum is 35.

The spelling of 405142132841 in words is "four hundred five billion, one hundred forty-two million, one hundred thirty-two thousand, eight hundred forty-one".