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434040420312 = 233219317281009
BaseRepresentation
bin1100101000011101101…
…00110011011111011000
31112111100000121220001200
412110032310303133120
524102403321422222
6531221224314200
743233632461632
oct6241664633730
91474300556050
10434040420312
11158091557a74
1270153312960
1331c11b07a95
1417017083a52
15b4550cdeac
hex650ed337d8

434040420312 has 48 divisors (see below), whose sum is σ = 1237395939000. Its totient is φ = 137065395456.

The previous prime is 434040420269. The next prime is 434040420323. The reversal of 434040420312 is 213024040434.

It is a happy number.

434040420312 is a `hidden beast` number, since 4 + 3 + 40 + 404 + 203 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158639137 + ... + 158641872.

Almost surely, 2434040420312 is an apocalyptic number.

It is an amenable number.

434040420312 is an abundant number, since it is smaller than the sum of its proper divisors (803355518688).

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

434040420312 is a wasteful number, since it uses less digits than its factorization.

434040420312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317281040 (or 317281033 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 434040420312 its reverse (213024040434), we get a palindrome (647064460746).

The spelling of 434040420312 in words is "four hundred thirty-four billion, forty million, four hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 317281009 634562018 951843027 1269124036 1903686054 2538248072 2855529081 3807372108 5711058162 6028339171 7614744216 11422116324 12056678342 18085017513 22844232648 24113356684 36170035026 48226713368 54255052539 72340070052 108510105078 144680140104 217020210156 434040420312