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414241113414 = 23523918714369
BaseRepresentation
bin1100000011100101011…
…00011100010101000110
31110121020011201212222210
412001302230130111012
523241331211112124
6514144424404250
741633165240052
oct6016254342506
91417204655883
10414241113414
1114a751344717
1268348616686
13300a7b9aa7b
14160996c0c62
15ab96ca7a29
hex6072b1c546

414241113414 has 32 divisors (see below), whose sum is σ = 830214449280. Its totient is φ = 137791763712.

The previous prime is 414241113413. The next prime is 414241113421. The reversal of 414241113414 is 414311142414.

414241113414 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414241113413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28821622 + ... + 28835990.

It is an arithmetic number, because the mean of its divisors is an integer number (25944201540).

Almost surely, 2414241113414 is an apocalyptic number.

414241113414 is an abundant number, since it is smaller than the sum of its proper divisors (415973335866).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414241113414 is a wasteful number, since it uses less digits than its factorization.

414241113414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24084.

The product of its digits is 6144, while the sum is 30.

Adding to 414241113414 its reverse (414311142414), we get a palindrome (828552255828).

The spelling of 414241113414 in words is "four hundred fourteen billion, two hundred forty-one million, one hundred thirteen thousand, four hundred fourteen".

Divisors: 1 2 3 6 523 1046 1569 3138 9187 14369 18374 27561 28738 43107 55122 86214 4804801 7514987 9609602 14414403 15029974 22544961 28828806 45089922 132008003 264016006 396024009 792048018 69040185569 138080371138 207120556707 414241113414