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434012423301 = 32412574576597
BaseRepresentation
bin1100101000011010010…
…10000000010010000101
31112111021001221111101100
412110031022000102011
524102324140021201
6531214344250313
743233142504662
oct6241512002205
91474231844340
10434012423301
11158077775446
1270145a70999
1331c090846c2
1417013476a69
15b4528ed886
hex650d280485

434012423301 has 24 divisors (see below), whose sum is σ = 644696207064. Its totient is φ = 281186058240.

The previous prime is 434012423287. The next prime is 434012423311. The reversal of 434012423301 is 103324210434.

434012423301 is a `hidden beast` number, since 4 + 3 + 401 + 24 + 233 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 178315331076 + 255697092225 = 422274^2 + 505665^2 .

It is not a de Polignac number, because 434012423301 - 211 = 434012421253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434012423311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2193466 + ... + 2383131.

It is an arithmetic number, because the mean of its divisors is an integer number (26862341961).

Almost surely, 2434012423301 is an apocalyptic number.

434012423301 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

434012423301 is a deficient number, since it is larger than the sum of its proper divisors (210683783763).

434012423301 is a wasteful number, since it uses less digits than its factorization.

434012423301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4576901 (or 4576898 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 434012423301 its reverse (103324210434), we get a palindrome (537336633735).

The spelling of 434012423301 in words is "four hundred thirty-four billion, twelve million, four hundred twenty-three thousand, three hundred one".

Divisors: 1 3 9 41 123 257 369 771 2313 10537 31611 94833 4576597 13729791 41189373 187640477 562921431 1176185429 1688764293 3528556287 10585668861 48223602589 144670807767 434012423301