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434464260540 = 223523813041189
BaseRepresentation
bin1100101001010000001…
…01101000000110111100
31112112102120011012112220
412110220011220012330
524104240322314130
6531331244525340
743250300165502
oct6245005500674
91475376135486
10434464260540
11158289826452
1270251250850
1331c7b87570b
1417057492672
15b47c401410
hex65281681bc

434464260540 has 48 divisors (see below), whose sum is σ = 1217011249440. Its totient is φ = 115808439040.

The previous prime is 434464260533. The next prime is 434464260647. The reversal of 434464260540 is 45062464434.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 434464260492 and 434464260501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1377735 + ... + 1663454.

It is an arithmetic number, because the mean of its divisors is an integer number (25354401030).

Almost surely, 2434464260540 is an apocalyptic number.

It is an amenable number.

434464260540 is an abundant number, since it is smaller than the sum of its proper divisors (782546988900).

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

434464260540 is a wasteful number, since it uses less digits than its factorization.

434464260540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3043582 (or 3043580 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 42.

The spelling of 434464260540 in words is "four hundred thirty-four billion, four hundred sixty-four million, two hundred sixty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2381 4762 7143 9524 11905 14286 23810 28572 35715 47620 71430 142860 3041189 6082378 9123567 12164756 15205945 18247134 30411890 36494268 45617835 60823780 91235670 182471340 7241071009 14482142018 21723213027 28964284036 36205355045 43446426054 72410710090 86892852108 108616065135 144821420180 217232130270 434464260540