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2414563401241 is a prime number
BaseRepresentation
bin100011001000101111001…
…100011001111000011001
322112211102002000122202001
4203020233030121320121
5304030011212314431
65045122441241001
7336306063162565
oct43105714317031
98484362018661
102414563401241
11851013102082
1232bb60493161
131469001347a4
1484c18ca66a5
1542c1d1e7e61
hex2322f319e19

2414563401241 has 2 divisors, whose sum is σ = 2414563401242. Its totient is φ = 2414563401240.

The previous prime is 2414563401157. The next prime is 2414563401293. The reversal of 2414563401241 is 1421043654142.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2342825135641 + 71738265600 = 1530629^2 + 267840^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2414563401241 is a prime.

It is a super-3 number, since 3×24145634012413 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2414563401241.

It is not a weakly prime, because it can be changed into another prime (2414563401841) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1207281700620 + 1207281700621.

It is an arithmetic number, because the mean of its divisors is an integer number (1207281700621).

Almost surely, 22414563401241 is an apocalyptic number.

It is an amenable number.

2414563401241 is a deficient number, since it is larger than the sum of its proper divisors (1).

2414563401241 is an equidigital number, since it uses as much as digits as its factorization.

2414563401241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 92160, while the sum is 37.

The spelling of 2414563401241 in words is "two trillion, four hundred fourteen billion, five hundred sixty-three million, four hundred one thousand, two hundred forty-one".