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42412033153 = 7241173122029
BaseRepresentation
bin100111011111111101…
…000100010010000001
311001110202201111221201
4213133331010102001
51143324440030103
631252301021201
73031003222300
oct473775042201
9131422644851
1042412033153
1116a9453a276
128277854801
133ccb9c2309
1420a4a80437
15118363851d
hex9dff44481

42412033153 has 24 divisors (see below), whose sum is σ = 50832328680. Its totient is φ = 35261210880.

The previous prime is 42412033117. The next prime is 42412033163. The reversal of 42412033153 is 35133021424.

It is a happy number.

42412033153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 678446209 + 41733586944 = 26047^2 + 204288^2 .

It is not a de Polignac number, because 42412033153 - 233 = 33822098561 is a prime.

It is a super-2 number, since 2×424120331532 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42412033163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286543 + ... + 408571.

It is an arithmetic number, because the mean of its divisors is an integer number (2118013695).

Almost surely, 242412033153 is an apocalyptic number.

It is an amenable number.

42412033153 is a deficient number, since it is larger than the sum of its proper divisors (8420295527).

42412033153 is a wasteful number, since it uses less digits than its factorization.

42412033153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122257 (or 122250 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 42412033153 its reverse (35133021424), we get a palindrome (77545054577).

The spelling of 42412033153 in words is "forty-two billion, four hundred twelve million, thirty-three thousand, one hundred fifty-three".

Divisors: 1 7 41 49 173 287 1211 2009 7093 8477 49651 122029 347557 854203 5003189 5979421 21111017 35022323 147777119 245156261 865551697 1034439833 6058861879 42412033153