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415032294881 is a prime number
BaseRepresentation
bin1100000101000011101…
…10100011110111100001
31110200021022111001221002
412002201312203313201
523244441231414011
6514355130241345
741661613204421
oct6024166436741
91420238431832
10415032294881
11150017a01aa6
1268529586255
13301a2a83a99
14161327d2481
15abe148bc3b
hex60a1da3de1

415032294881 has 2 divisors, whose sum is σ = 415032294882. Its totient is φ = 415032294880.

The previous prime is 415032294827. The next prime is 415032294883. The reversal of 415032294881 is 188492230514.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 247267507600 + 167764787281 = 497260^2 + 409591^2 .

It is a cyclic number.

It is not a de Polignac number, because 415032294881 - 210 = 415032293857 is a prime.

It is a super-2 number, since 2×4150322948812 (a number of 24 digits) contains 22 as substring.

Together with 415032294883, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (415032294883) 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 as a sum of consecutive naturals, namely, 207516147440 + 207516147441.

It is an arithmetic number, because the mean of its divisors is an integer number (207516147441).

Almost surely, 2415032294881 is an apocalyptic number.

It is an amenable number.

415032294881 is a deficient number, since it is larger than the sum of its proper divisors (1).

415032294881 is an equidigital number, since it uses as much as digits as its factorization.

415032294881 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 552960, while the sum is 47.

The spelling of 415032294881 in words is "four hundred fifteen billion, thirty-two million, two hundred ninety-four thousand, eight hundred eighty-one".