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434011140444 = 22377172771821
BaseRepresentation
bin1100101000011010001…
…01000111000101011100
31112111020222112022122010
412110031011013011130
524102323322443234
6531214300551220
743233125552610
oct6241505070534
91474228468563
10434011140444
11158076a79632
1270145552510
1331c08a2580b
1417013221340
15b4527486e9
hex650d14715c

434011140444 has 48 divisors (see below), whose sum is σ = 1173663945216. Its totient is φ = 122256657600.

The previous prime is 434011140421. The next prime is 434011140467. The reversal of 434011140444 is 444041110434.

It is an interprime number because it is at equal distance from previous prime (434011140421) and next prime (434011140467).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36379947 + ... + 36391874.

It is an arithmetic number, because the mean of its divisors is an integer number (24451332192).

Almost surely, 2434011140444 is an apocalyptic number.

It is an amenable number.

434011140444 is an abundant number, since it is smaller than the sum of its proper divisors (739652804772).

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

434011140444 is a wasteful number, since it uses less digits than its factorization.

434011140444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72771906 (or 72771904 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 434011140444 its reverse (444041110434), we get a palindrome (878052250878).

The spelling of 434011140444 in words is "four hundred thirty-four billion, eleven million, one hundred forty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 213 284 426 497 852 994 1491 1988 2982 5964 72771821 145543642 218315463 291087284 436630926 509402747 873261852 1018805494 1528208241 2037610988 3056416482 5166799291 6112832964 10333598582 15500397873 20667197164 31000795746 36167595037 62001591492 72335190074 108502785111 144670380148 217005570222 434011140444