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201403440416819 is a prime number
BaseRepresentation
bin101101110010110011100100…
…100001011100100000110011
3222102002222111001101010200102
4231302303210201130200303
5202344243221221314234
61552203244020143015
760264630002114354
oct5562634441344063
9872088431333612
10201403440416819
115919a7a05a1723
121a709404837a6b
13884c3558a0044
1437a3d9b11bd2b
151843e7428bc7e
hexb72ce485c833

201403440416819 has 2 divisors, whose sum is σ = 201403440416820. Its totient is φ = 201403440416818.

The previous prime is 201403440416809. The next prime is 201403440416831. The reversal of 201403440416819 is 918614044304102.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-201403440416819 is a prime.

It is a super-2 number, since 2×2014034404168192 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (201403440416809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100701720208409 + 100701720208410.

It is an arithmetic number, because the mean of its divisors is an integer number (100701720208410).

Almost surely, 2201403440416819 is an apocalyptic number.

201403440416819 is a deficient number, since it is larger than the sum of its proper divisors (1).

201403440416819 is an equidigital number, since it uses as much as digits as its factorization.

201403440416819 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 663552, while the sum is 47.

The spelling of 201403440416819 in words is "two hundred one trillion, four hundred three billion, four hundred forty million, four hundred sixteen thousand, eight hundred nineteen".