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42441020301 = 3312716912437
BaseRepresentation
bin100111100001101011…
…101001001110001101
311001112210021012211210
4213201223221032031
51143404400122201
631255214205033
73031504502031
oct474153511615
9131483235753
1042441020301
1116aa9938799
1282854b3779
134004a01284
1420a88681c1
151185e621d6
hex9e1ae938d

42441020301 has 32 divisors (see below), whose sum is σ = 58737934336. Its totient is φ = 27229608000.

The previous prime is 42441020299. The next prime is 42441020381. The reversal of 42441020301 is 10302014424.

It is not a de Polignac number, because 42441020301 - 21 = 42441020299 is a prime.

It is a super-3 number, since 3×424410203013 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42441020381) 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 in 31 ways as a sum of consecutive naturals, for example, 17414055 + ... + 17416491.

It is an arithmetic number, because the mean of its divisors is an integer number (1835560448).

Almost surely, 242441020301 is an apocalyptic number.

It is an amenable number.

42441020301 is a deficient number, since it is larger than the sum of its proper divisors (16296914035).

42441020301 is a wasteful number, since it uses less digits than its factorization.

42441020301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3433.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 42441020301 its reverse (10302014424), we get a palindrome (52743034725).

The spelling of 42441020301 in words is "forty-two billion, four hundred forty-one million, twenty thousand, three hundred one".

Divisors: 1 3 31 93 271 691 813 2073 2437 7311 8401 21421 25203 64263 75547 187261 226641 561783 660427 1683967 1981281 5051901 5805091 17415273 20473237 52202977 61419711 156608931 456355057 1369065171 14147006767 42441020301