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1240414101 = 33109741879
BaseRepresentation
bin100100111101111…
…0011011110010101
310012110001120021000
41021323303132111
510020021222401
6323030213513
742511226433
oct11173633625
93173046230
101240414101
115871aa523
122a74b4299
13169ca4654
14baa4dd53
1573d70186
hex49ef3795

1240414101 has 16 divisors (see below), whose sum is σ = 1839369600. Its totient is φ = 826169184.

The previous prime is 1240414099. The next prime is 1240414141. The reversal of 1240414101 is 1014140421.

1240414101 is a `hidden beast` number, since 1 + 240 + 414 + 10 + 1 = 666.

It is not a de Polignac number, because 1240414101 - 21 = 1240414099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1240414141) 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 15 ways as a sum of consecutive naturals, for example, 8680 + ... + 50558.

It is an arithmetic number, because the mean of its divisors is an integer number (114960600).

Almost surely, 21240414101 is an apocalyptic number.

It is an amenable number.

1240414101 is a deficient number, since it is larger than the sum of its proper divisors (598955499).

1240414101 is a wasteful number, since it uses less digits than its factorization.

1240414101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42985 (or 42979 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1240414101 is about 35219.5130715914. The cubic root of 1240414101 is about 1074.4566501667.

Adding to 1240414101 its reverse (1014140421), we get a palindrome (2254554522).

The spelling of 1240414101 in words is "one billion, two hundred forty million, four hundred fourteen thousand, one hundred one".

Divisors: 1 3 9 27 1097 3291 9873 29619 41879 125637 376911 1130733 45941263 137823789 413471367 1240414101