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434373711041 = 29531059726669
BaseRepresentation
bin1100101001000101011…
…00001101010011000001
31112112012020202210222202
412110202230031103001
524104044132223131
6531314252042545
743245120424004
oct6244254152301
91475166683882
10434373711041
111582426aa256
1270226a63455
1331c65b9062a
141704944153b
15b4744b6bcb
hex6522b0d4c1

434373711041 has 16 divisors (see below), whose sum is σ = 457890829200. Its totient is φ = 411427930368.

The previous prime is 434373711019. The next prime is 434373711071. The reversal of 434373711041 is 140117373434.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10317480625 + 424056230416 = 101575^2 + 651196^2 .

It is a cyclic number.

It is not a de Polignac number, because 434373711041 - 218 = 434373448897 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 434373710986 and 434373711004.

It is not an unprimeable number, because it can be changed into a prime (434373711011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16274255 + ... + 16300923.

It is an arithmetic number, because the mean of its divisors is an integer number (28618176825).

Almost surely, 2434373711041 is an apocalyptic number.

It is an amenable number.

434373711041 is a deficient number, since it is larger than the sum of its proper divisors (23517118159).

434373711041 is a wasteful number, since it uses less digits than its factorization.

434373711041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37348.

The product of its (nonzero) digits is 84672, while the sum is 38.

The spelling of 434373711041 in words is "four hundred thirty-four billion, three hundred seventy-three million, seven hundred eleven thousand, forty-one".

Divisors: 1 29 53 1537 10597 26669 307313 561641 773401 1413457 16287589 40990253 282611393 8195730397 14978403829 434373711041