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41434430331 = 372312190313
BaseRepresentation
bin100110100101101011…
…110011101101111011
310221221122012010222210
4212211223303231323
51134324203232311
631011255350203
72664532563300
oct464553635573
9127848163883
1041434430331
1116632723858
128044382363
133ba42c76c8
142010cc30a7
1511278cd3a6
hex9a5af3b7b

41434430331 has 24 divisors (see below), whose sum is σ = 64286950224. Its totient is φ = 23668968960.

The previous prime is 41434430321. The next prime is 41434430347. The reversal of 41434430331 is 13303443414.

It is not a de Polignac number, because 41434430331 - 25 = 41434430299 is a prime.

It is a super-2 number, since 2×414344303312 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41434430321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413631 + ... + 503943.

It is an arithmetic number, because the mean of its divisors is an integer number (2678622926).

Almost surely, 241434430331 is an apocalyptic number.

41434430331 is a deficient number, since it is larger than the sum of its proper divisors (22852519893).

41434430331 is a wasteful number, since it uses less digits than its factorization.

41434430331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93451 (or 93444 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 41434430331 its reverse (13303443414), we get a palindrome (54737873745).

The spelling of 41434430331 in words is "forty-one billion, four hundred thirty-four million, four hundred thirty thousand, three hundred thirty-one".

Divisors: 1 3 7 21 49 147 3121 9363 21847 65541 90313 152929 270939 458787 632191 1896573 4425337 13276011 281866873 845600619 1973068111 5919204333 13811476777 41434430331