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414153191 is a prime number
BaseRepresentation
bin11000101011110…
…111100111100111
31001212022011101002
4120223313213213
51322010400231
6105032423515
713156146464
oct3053674747
91055264332
10414153191
111a2862471
12b6847b9b
1367a5867a
143d00a66b
152655c0cb
hex18af79e7

414153191 has 2 divisors, whose sum is σ = 414153192. Its totient is φ = 414153190.

The previous prime is 414153139. The next prime is 414153193. The reversal of 414153191 is 191351414.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-414153191 is a prime.

Together with 414153193, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414153193) 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, 207076595 + 207076596.

It is an arithmetic number, because the mean of its divisors is an integer number (207076596).

Almost surely, 2414153191 is an apocalyptic number.

414153191 is a deficient number, since it is larger than the sum of its proper divisors (1).

414153191 is an equidigital number, since it uses as much as digits as its factorization.

414153191 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2160, while the sum is 29.

The square root of 414153191 is about 20350.7540646532. The cubic root of 414153191 is about 745.3959074624.

The spelling of 414153191 in words is "four hundred fourteen million, one hundred fifty-three thousand, one hundred ninety-one".