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431441059649 = 593797912869
BaseRepresentation
bin1100100011100111110…
…01000001111101000001
31112020121212110200120112
412101303321001331001
524032042402402044
6530111251121105
743112340332645
oct6216371017501
91466555420515
10431441059649
11156a78259916
126b7488a3195
13318b9429b52
1416c4bb6ac25
15b351cc809e
hex6473e41f41

431441059649 has 8 divisors (see below), whose sum is σ = 432711334440. Its totient is φ = 430172613376.

The previous prime is 431441059619. The next prime is 431441059657. The reversal of 431441059649 is 946950144134.

It can be written as a sum of positive squares in 4 ways, for example, as 63061254400 + 368379805249 = 251120^2 + 606943^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 431441059649 - 224 = 431424282433 is a prime.

It is a super-2 number, since 2×4314410596492 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 431441059597 and 431441059606.

It is not an unprimeable number, because it can be changed into a prime (431441059619) 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 7 ways as a sum of consecutive naturals, for example, 16187 + ... + 929055.

It is an arithmetic number, because the mean of its divisors is an integer number (54088916805).

Almost surely, 2431441059649 is an apocalyptic number.

It is an amenable number.

431441059649 is a deficient number, since it is larger than the sum of its proper divisors (1270274791).

431441059649 is an equidigital number, since it uses as much as digits as its factorization.

431441059649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914259.

The product of its (nonzero) digits is 1866240, while the sum is 50.

The spelling of 431441059649 in words is "four hundred thirty-one billion, four hundred forty-one million, fifty-nine thousand, six hundred forty-nine".

Divisors: 1 593 797 472621 912869 541331317 727556593 431441059649