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429201814441 is a prime number
BaseRepresentation
bin1100011111011100110…
…10111111001110101001
31112000211210221020121211
412033232122333032221
524013001131030231
6525101140233121
743003010141161
oct6175632771651
91460753836554
10429201814441
11156029264844
126b22299b7a1
133162053739a
1416ab85d55a1
15b270407eb1
hex63ee6bf3a9

429201814441 has 2 divisors, whose sum is σ = 429201814442. Its totient is φ = 429201814440.

The previous prime is 429201814427. The next prime is 429201814487. The reversal of 429201814441 is 144418102924.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 365334416041 + 63867398400 = 604429^2 + 252720^2 .

It is a cyclic number.

It is not a de Polignac number, because 429201814441 - 217 = 429201683369 is a prime.

It is a super-2 number, since 2×4292018144412 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 429201814394 and 429201814403.

It is not a weakly prime, because it can be changed into another prime (429201814411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 214600907220 + 214600907221.

It is an arithmetic number, because the mean of its divisors is an integer number (214600907221).

Almost surely, 2429201814441 is an apocalyptic number.

It is an amenable number.

429201814441 is a deficient number, since it is larger than the sum of its proper divisors (1).

429201814441 is an equidigital number, since it uses as much as digits as its factorization.

429201814441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 429201814441 in words is "four hundred twenty-nine billion, two hundred one million, eight hundred fourteen thousand, four hundred forty-one".