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434540465241 = 3701401951413
BaseRepresentation
bin1100101001011001010…
…00010100110001011001
31112112121212112210202020
412110230220110301121
524104414324341431
6531343010125053
743252214003601
oct6245450246131
91475555483666
10434540465241
11158318845143
1270272880789
1331c915a745c
141706364bc01
15b483e55696
hex652ca14c59

434540465241 has 16 divisors (see below), whose sum is σ = 580369458240. Its totient is φ = 289202782400.

The previous prime is 434540465221. The next prime is 434540465269. The reversal of 434540465241 is 142564045434.

It is a cyclic number.

It is not a de Polignac number, because 434540465241 - 27 = 434540465113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 434540465193 and 434540465202.

It is not an unprimeable number, because it can be changed into a prime (434540465221) by changing a digit.

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, 8426251 + ... + 8477663.

It is an arithmetic number, because the mean of its divisors is an integer number (36273091140).

Almost surely, 2434540465241 is an apocalyptic number.

It is an amenable number.

434540465241 is a deficient number, since it is larger than the sum of its proper divisors (145828992999).

434540465241 is a wasteful number, since it uses less digits than its factorization.

434540465241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56136.

The product of its (nonzero) digits is 921600, while the sum is 42.

The spelling of 434540465241 in words is "four hundred thirty-four billion, five hundred forty million, four hundred sixty-five thousand, two hundred forty-one".

Divisors: 1 3 701 2103 4019 12057 51413 154239 2817319 8451957 36040513 108121539 206628847 619886541 144846821747 434540465241