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415342869841 = 103262572
BaseRepresentation
bin1100000101101000101…
…11010011110101010001
31110201001221212220200101
412002310113103311101
523301110233313331
6514450023052401
742002404066654
oct6026427236521
91421057786611
10415342869841
11150167249619
12685b55a1101
1330222215053
1416161b5989b
15ac0d889061
hex60b45d3d51

415342869841 has 9 divisors (see below), whose sum is σ = 419481516891. Its totient is φ = 411244678752.

The previous prime is 415342869833. The next prime is 415342869869. The reversal of 415342869841 is 148968243514.

The square root of 415342869841 is 644471.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 411105380625 + 4237489216 = 641175^2 + 65096^2 .

It is not a de Polignac number, because 415342869841 - 23 = 415342869833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (415342869871) 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 8 ways as a sum of consecutive naturals, for example, 66377385 + ... + 66383641.

Almost surely, 2415342869841 is an apocalyptic number.

415342869841 is the 644471-st square number.

415342869841 is the 322236-th centered octagonal number.

It is an amenable number.

415342869841 is a deficient number, since it is larger than the sum of its proper divisors (4138647050).

415342869841 is an frugal number, since it uses more digits than its factorization.

415342869841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12720 (or 6360 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 55.

The spelling of 415342869841 in words is "four hundred fifteen billion, three hundred forty-two million, eight hundred sixty-nine thousand, eight hundred forty-one".

Divisors: 1 103 6257 10609 644471 39150049 66380513 4032455047 415342869841