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242541214401377 is a prime number
BaseRepresentation
bin110111001001011100000110…
…111011011000001101100001
31011210202201021020210011002202
4313021130012323120031201
5223242243401341321002
62215501521245422545
7102042011252365463
oct6711340673301541
91153681236704082
10242541214401377
1170310173547441
1223252141b6aa55
13a5446cca85508
1443c70b377c133
151d090c0cd6502
hexdc9706ed8361

242541214401377 has 2 divisors, whose sum is σ = 242541214401378. Its totient is φ = 242541214401376.

The previous prime is 242541214401263. The next prime is 242541214401449. The reversal of 242541214401377 is 773104412145242.

242541214401377 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 128337880334161 + 114203334067216 = 11328631^2 + 10686596^2 .

It is a cyclic number.

It is not a de Polignac number, because 242541214401377 - 214 = 242541214384993 is a prime.

It is a super-2 number, since 2×2425412144013772 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (242541214431377) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121270607200688 + 121270607200689.

It is an arithmetic number, because the mean of its divisors is an integer number (121270607200689).

Almost surely, 2242541214401377 is an apocalyptic number.

It is an amenable number.

242541214401377 is a deficient number, since it is larger than the sum of its proper divisors (1).

242541214401377 is an equidigital number, since it uses as much as digits as its factorization.

242541214401377 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1505280, while the sum is 47.

The spelling of 242541214401377 in words is "two hundred forty-two trillion, five hundred forty-one billion, two hundred fourteen million, four hundred one thousand, three hundred seventy-seven".