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41200434329 = 1811931179413
BaseRepresentation
bin100110010111101111…
…001011110010011001
310221100022212220211012
4212113233023302121
51133334302344304
630532140143305
72655661625225
oct462757136231
9127308786735
1041200434329
111652263112a
127b99b37b35
133b67999632
141dcbbb1785
1511120ab16e
hex997bcbc99

41200434329 has 8 divisors (see below), whose sum is σ = 41642749512. Its totient is φ = 40760478720.

The previous prime is 41200434307. The next prime is 41200434413. The reversal of 41200434329 is 92343400214.

It can be written as a sum of positive squares in 4 ways, for example, as 7547265625 + 33653168704 = 86875^2 + 183448^2 .

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 41200434329 - 224 = 41183657113 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 41200434295 and 41200434304.

It is not an unprimeable number, because it can be changed into a prime (41200434929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 554774 + ... + 624639.

It is an arithmetic number, because the mean of its divisors is an integer number (5205343689).

Almost surely, 241200434329 is an apocalyptic number.

It is an amenable number.

41200434329 is a deficient number, since it is larger than the sum of its proper divisors (442315183).

41200434329 is a wasteful number, since it uses less digits than its factorization.

41200434329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179787.

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 41200434329 in words is "forty-one billion, two hundred million, four hundred thirty-four thousand, three hundred twenty-nine".

Divisors: 1 181 193 34933 1179413 213473753 227626709 41200434329