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410342141 = 11172294451
BaseRepresentation
bin11000011101010…
…101001011111101
31001121010112121002
4120131111023331
51320021422031
6104415020045
713111564526
oct3035251375
91047115532
10410342141
111a069a140
12b550a625
1367022b01
143c6d784d
1526057ccb
hex187552fd

410342141 has 24 divisors (see below), whose sum is σ = 492035040. Its totient is φ = 338912000.

The previous prime is 410342117. The next prime is 410342143. The reversal of 410342141 is 141243014.

It is not a de Polignac number, because 410342141 - 210 = 410341117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410342143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89966 + ... + 94416.

It is an arithmetic number, because the mean of its divisors is an integer number (20501460).

Almost surely, 2410342141 is an apocalyptic number.

It is an amenable number.

410342141 is a deficient number, since it is larger than the sum of its proper divisors (81692899).

410342141 is a wasteful number, since it uses less digits than its factorization.

410342141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4525 (or 4508 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 410342141 is about 20256.9035392875. The cubic root of 410342141 is about 743.1024731457.

Adding to 410342141 its reverse (141243014), we get a palindrome (551585155).

The spelling of 410342141 in words is "four hundred ten million, three hundred forty-two thousand, one hundred forty-one".

Divisors: 1 11 17 29 187 289 319 493 3179 4451 5423 8381 48961 75667 92191 129079 832337 1286339 1419869 2194343 14149729 24137773 37303831 410342141