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414141331233032 = 23134252519364183
BaseRepresentation
bin101111000101010001100101…
…0111011110101100100001000
32000022100112011102211121001122
41132022203022323311210020
5413240242421243424112
64024445522344534412
7153142503155055164
oct13612431273654410
92008315142747048
10414141331233032
1110aa5a396925507
123a547445a81408
1314a1148aab5c30
14743a794035ca4
1532d2b76a5c872
hex178a8caef5908

414141331233032 has 32 divisors (see below), whose sum is σ = 836248974617280. Its totient is φ = 191141682984000.

The previous prime is 414141331233013. The next prime is 414141331233043. The reversal of 414141331233032 is 230332133141414.

It is a junction number, because it is equal to n+sod(n) for n = 414141331232983 and 414141331233001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39544013 + ... + 48908195.

It is an arithmetic number, because the mean of its divisors is an integer number (26132780456790).

Almost surely, 2414141331233032 is an apocalyptic number.

It is an amenable number.

414141331233032 is an abundant number, since it is smaller than the sum of its proper divisors (422107643384248).

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

414141331233032 is a wasteful number, since it uses less digits than its factorization.

414141331233032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9789453 (or 9789449 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 35.

Adding to 414141331233032 its reverse (230332133141414), we get a palindrome (644473464374446).

The spelling of 414141331233032 in words is "four hundred fourteen trillion, one hundred forty-one billion, three hundred thirty-one million, two hundred thirty-three thousand, thirty-two".

Divisors: 1 2 4 8 13 26 52 104 425251 850502 1701004 3402008 5528263 9364183 11056526 18728366 22113052 37456732 44226104 74913464 121734379 243468758 486937516 973875032 3982128184933 7964256369866 15928512739732 31857025479464 51767666404129 103535332808258 207070665616516 414141331233032