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415101941 is a prime number
BaseRepresentation
bin11000101111011…
…111001111110101
31001221002100210222
4120233133033311
51322231230231
6105105024125
713200210512
oct3057371765
91057070728
10415101941
111a3350261
12b7025045
1367ccb467
143d1b6309
152669827b
hex18bdf3f5

415101941 has 2 divisors, whose sum is σ = 415101942. Its totient is φ = 415101940.

The previous prime is 415101923. The next prime is 415101959. The reversal of 415101941 is 149101514.

It is a balanced prime because it is at equal distance from previous prime (415101923) and next prime (415101959).

It can be written as a sum of positive squares in only one way, i.e., 284091025 + 131010916 = 16855^2 + 11446^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-415101941 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 415101941.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (415101991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207550970 + 207550971.

It is an arithmetic number, because the mean of its divisors is an integer number (207550971).

Almost surely, 2415101941 is an apocalyptic number.

It is an amenable number.

415101941 is a deficient number, since it is larger than the sum of its proper divisors (1).

415101941 is an equidigital number, since it uses as much as digits as its factorization.

415101941 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720, while the sum is 26.

The square root of 415101941 is about 20374.0506772708. The cubic root of 415101941 is about 745.9646624148.

The spelling of 415101941 in words is "four hundred fifteen million, one hundred one thousand, nine hundred forty-one".