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413338028141 is a prime number
BaseRepresentation
bin1100000001111001101…
…11011100100001101101
31110111220020102101220002
412000330313130201231
523233004013400031
6513515044234045
741601621161303
oct6007467344155
91414806371802
10413338028141
1114a3285a5355
126813609b925
132cc92a63c9c
14160117a0273
15ab4286bccb
hex603cddc86d

413338028141 has 2 divisors, whose sum is σ = 413338028142. Its totient is φ = 413338028140.

The previous prime is 413338028111. The next prime is 413338028231. The reversal of 413338028141 is 141820833314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 326236311241 + 87101716900 = 571171^2 + 295130^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-413338028141 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413338028095 and 413338028104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413338028111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206669014070 + 206669014071.

It is an arithmetic number, because the mean of its divisors is an integer number (206669014071).

Almost surely, 2413338028141 is an apocalyptic number.

It is an amenable number.

413338028141 is a deficient number, since it is larger than the sum of its proper divisors (1).

413338028141 is an equidigital number, since it uses as much as digits as its factorization.

413338028141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 413338028141 in words is "four hundred thirteen billion, three hundred thirty-eight million, twenty-eight thousand, one hundred forty-one".