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42541917281 is a prime number
BaseRepresentation
bin100111100111101100…
…100010010001100001
311001210211010022110222
4213213230202101201
51144111212323111
631313220532425
73034141221233
oct474754422141
9131724108428
1042541917281
1117050892126
1282b3251115
13401c89a126
1420b8010253
15118ec427db
hex9e7b22461

42541917281 has 2 divisors, whose sum is σ = 42541917282. Its totient is φ = 42541917280.

The previous prime is 42541917247. The next prime is 42541917287. The reversal of 42541917281 is 18271914524.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42185462881 + 356454400 = 205391^2 + 18880^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42541917281 is a prime.

It is a super-2 number, since 2×425419172812 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (42541917287) 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, 21270958640 + 21270958641.

It is an arithmetic number, because the mean of its divisors is an integer number (21270958641).

Almost surely, 242541917281 is an apocalyptic number.

It is an amenable number.

42541917281 is a deficient number, since it is larger than the sum of its proper divisors (1).

42541917281 is an equidigital number, since it uses as much as digits as its factorization.

42541917281 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 161280, while the sum is 44.

The spelling of 42541917281 in words is "forty-two billion, five hundred forty-one million, nine hundred seventeen thousand, two hundred eighty-one".