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434441332131 = 3597613225323
BaseRepresentation
bin1100101001001101011…
…10001010010110100011
31112112100222000022200120
412110212232022112203
524104213440112011
6531325105251323
743246601252022
oct6244656122643
91475328008616
10434441332131
11158277895a54
1270245633b43
1331c76ba8401
14170544048b9
15b47a3c2a06
hex6526b8a5a3

434441332131 has 16 divisors (see below), whose sum is σ = 589847253120. Its totient is φ = 284344387520.

The previous prime is 434441332121. The next prime is 434441332159. The reversal of 434441332131 is 131233144434.

It is a cyclic number.

It is not a de Polignac number, because 434441332131 - 26 = 434441332067 is a prime.

It is a super-2 number, since 2×4344413321312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 434441332092 and 434441332101.

It is not an unprimeable number, because it can be changed into a prime (434441332121) 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 15 ways as a sum of consecutive naturals, for example, 1477965 + ... + 1747358.

It is an arithmetic number, because the mean of its divisors is an integer number (36865453320).

Almost surely, 2434441332131 is an apocalyptic number.

434441332131 is a deficient number, since it is larger than the sum of its proper divisors (155405920989).

434441332131 is a wasteful number, since it uses less digits than its factorization.

434441332131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3226146.

The product of its digits is 41472, while the sum is 33.

Adding to 434441332131 its reverse (131233144434), we get a palindrome (565674476565).

The spelling of 434441332131 in words is "four hundred thirty-four billion, four hundred forty-one million, three hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 59 177 761 2283 44899 134697 3225323 9675969 190294057 570882171 2454470803 7363412409 144813777377 434441332131