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434251053453 = 37229409249059
BaseRepresentation
bin1100101000110110110…
…00010011100110001101
31112111212200222011102010
412110123120103212031
524103321232202303
6531254151051433
743242101023500
oct6243330234615
91474780864363
10434251053453
1115818a442848
12701b1970b79
1331c46645b89
1417037033137
15b468838c03
hex651b61398d

434251053453 has 48 divisors (see below), whose sum is σ = 698463864000. Its totient is φ = 239000041728.

The previous prime is 434251053413. The next prime is 434251053461. The reversal of 434251053453 is 354350152434.

It is not a de Polignac number, because 434251053453 - 26 = 434251053389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434251053413) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1619038 + ... + 1868096.

It is an arithmetic number, because the mean of its divisors is an integer number (14551330500).

Almost surely, 2434251053453 is an apocalyptic number.

It is an amenable number.

434251053453 is a deficient number, since it is larger than the sum of its proper divisors (264212810547).

434251053453 is a wasteful number, since it uses less digits than its factorization.

434251053453 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249514 (or 249507 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 39.

The spelling of 434251053453 in words is "four hundred thirty-four billion, two hundred fifty-one million, fifty-three thousand, four hundred fifty-three".

Divisors: 1 3 7 21 29 49 87 147 203 409 609 1227 1421 2863 4263 8589 11861 20041 35583 60123 83027 249059 249081 581189 747177 1743413 1743567 5230239 7222711 12203891 21668133 36611673 50558977 101865131 151676931 305595393 353912839 713055917 1061738517 2139167751 2954088799 4991391419 8862266397 14974174257 20678621593 62035864779 144750351151 434251053453