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442105014132425 = 527229105111841007
BaseRepresentation
bin110010010000101111001100…
…0010100100001111011001001
32010222100211022120122122021102
41210201132120110201323021
5430421422032104214200
64204140123433351145
7162060014250630500
oct14441363024417311
92128324276578242
10442105014132425
11118960757907546
1241702ab68684b5
1315c8c429925677
147b25dd5533837
15361a27535b6d5
hex1921798521ec9

442105014132425 has 72 divisors (see below), whose sum is σ = 660331809452160. Its totient is φ = 292425484176000.

The previous prime is 442105014132391. The next prime is 442105014132433. The reversal of 442105014132425 is 524231410501244.

It is not a de Polignac number, because 442105014132425 - 210 = 442105014131401 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31416272 + ... + 43257278.

It is an arithmetic number, because the mean of its divisors is an integer number (9171275131280).

Almost surely, 2442105014132425 is an apocalyptic number.

It is an amenable number.

442105014132425 is a deficient number, since it is larger than the sum of its proper divisors (218226795319735).

442105014132425 is a wasteful number, since it uses less digits than its factorization.

442105014132425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11842111 (or 11842099 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 38.

Adding to 442105014132425 its reverse (524231410501244), we get a palindrome (966336424633669).

The spelling of 442105014132425 in words is "four hundred forty-two trillion, one hundred five billion, fourteen million, one hundred thirty-two thousand, four hundred twenty-five".

Divisors: 1 5 7 25 29 35 49 145 175 203 245 725 1015 1051 1225 1421 5075 5255 7105 7357 26275 30479 35525 36785 51499 152395 183925 213353 257495 761975 1066765 1287475 1493471 5333825 7467355 11841007 37336775 59205035 82887049 296025175 343389203 414435245 580209343 1716946015 2072176225 2403724421 2901046715 8584730075 12018622105 12444898357 14505233575 16826070947 60093110525 62224491785 84130354735 87114288499 311122458925 360902052353 420651773675 435571442495 609800019493 1804510261765 2177857212475 2526314366471 3049000097465 9022551308825 12631571832355 15245000487325 17684200565297 63157859161775 88421002826485 442105014132425