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434110044040 = 23575591435739
BaseRepresentation
bin1100101000100101111…
…10011001011110001000
31112111111212122010212021
412110102332121132020
524103024132402130
6531232152454224
743235436330361
oct6242276313610
91474455563767
10434110044040
11158117891342
12701726aa374
1331c2337425a
1417022408b68
15b45b28337a
hex6512f99788

434110044040 has 32 divisors (see below), whose sum is σ = 976877496000. Its totient is φ = 173620924864.

The previous prime is 434110044013. The next prime is 434110044091. The reversal of 434110044040 is 40440011434.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 434110043996 and 434110044014.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 415510 + ... + 1020229.

It is an arithmetic number, because the mean of its divisors is an integer number (30527421750).

Almost surely, 2434110044040 is an apocalyptic number.

434110044040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434110044040 is an abundant number, since it is smaller than the sum of its proper divisors (542767451960).

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

434110044040 is a wasteful number, since it uses less digits than its factorization.

434110044040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443309 (or 1443305 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 434110044040 its reverse (40440011434), we get a palindrome (474550055474).

The spelling of 434110044040 in words is "four hundred thirty-four billion, one hundred ten million, forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 7559 15118 30236 37795 60472 75590 151180 302360 1435739 2871478 5742956 7178695 11485912 14357390 28714780 57429560 10852751101 21705502202 43411004404 54263755505 86822008808 108527511010 217055022020 434110044040