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414234102431 = 3141325911961
BaseRepresentation
bin1100000011100100100…
…01101100101010011111
31110121012200112200201202
412001302101230222133
523241322412234211
6514144014230115
741633051526632
oct6016221545237
91417180480652
10414234102431
1114a748396216
12683461b533b
13300a65b4866
14160987b7c19
15ab9637053b
hex607246ca9f

414234102431 has 8 divisors (see below), whose sum is σ = 438025676928. Its totient is φ = 391094352000.

The previous prime is 414234102391. The next prime is 414234102433. The reversal of 414234102431 is 134201432414.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 414234102431 - 26 = 414234102367 is a prime.

It is a super-2 number, since 2×4142341024312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 414234102394 and 414234102403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414234102433) 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 7 ways as a sum of consecutive naturals, for example, 162954710 + ... + 162957251.

It is an arithmetic number, because the mean of its divisors is an integer number (54753209616).

Almost surely, 2414234102431 is an apocalyptic number.

414234102431 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

414234102431 is a deficient number, since it is larger than the sum of its proper divisors (23791574497).

414234102431 is a wasteful number, since it uses less digits than its factorization.

414234102431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325912033.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 414234102431 its reverse (134201432414), we get a palindrome (548435534845).

The spelling of 414234102431 in words is "four hundred fourteen billion, two hundred thirty-four million, one hundred two thousand, four hundred thirty-one".

Divisors: 1 31 41 1271 325911961 10103270791 13362390401 414234102431