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142414041 = 37211293037
BaseRepresentation
bin10000111110100…
…01000011011001
3100220222101100010
420133101003121
5242424222131
622044232133
73346333200
oct1037210331
9326871303
10142414041
1173430860
123b83b649
1323674083
1414cb2237
15c781b46
hex87d10d9

142414041 has 48 divisors (see below), whose sum is σ = 249359040. Its totient is φ = 71406720.

The previous prime is 142414039. The next prime is 142414043. The reversal of 142414041 is 140414241.

It is an interprime number because it is at equal distance from previous prime (142414039) and next prime (142414043).

It is not a de Polignac number, because 142414041 - 21 = 142414039 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 142413999 and 142414017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142414043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45375 + ... + 48411.

It is an arithmetic number, because the mean of its divisors is an integer number (5194980).

Almost surely, 2142414041 is an apocalyptic number.

142414041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

142414041 is a deficient number, since it is larger than the sum of its proper divisors (106944999).

142414041 is a wasteful number, since it uses less digits than its factorization.

142414041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3094 (or 3087 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 142414041 is about 11933.7354168760. The cubic root of 142414041 is about 522.2169170847.

Adding to 142414041 its reverse (140414241), we get a palindrome (282828282).

The spelling of 142414041 in words is "one hundred forty-two million, four hundred fourteen thousand, forty-one".

Divisors: 1 3 7 11 21 29 33 49 77 87 147 203 231 319 539 609 957 1421 1617 2233 3037 4263 6699 9111 15631 21259 33407 46893 63777 88073 100221 148813 233849 264219 446439 616511 701547 968803 1636943 1849533 2906409 4315577 4910829 6781621 12946731 20344863 47471347 142414041