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418042121 = 7174577687
BaseRepresentation
bin11000111010101…
…101000100001001
31002010121201222112
4120322231010021
51324004321441
6105252032105
713234204460
oct3072550411
91063551875
10418042121
111a4a79262
12b8002635
13687ba803
143d73d9d7
1526a794eb
hex18ead109

418042121 has 16 divisors (see below), whose sum is σ = 507038976. Its totient is φ = 336462336.

The previous prime is 418042117. The next prime is 418042127. The reversal of 418042121 is 121240814.

It is not a de Polignac number, because 418042121 - 22 = 418042117 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (418042127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50540 + ... + 58226.

It is an arithmetic number, because the mean of its divisors is an integer number (31689936).

Almost surely, 2418042121 is an apocalyptic number.

It is an amenable number.

418042121 is a deficient number, since it is larger than the sum of its proper divisors (88996855).

418042121 is a wasteful number, since it uses less digits than its factorization.

418042121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8168.

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 418042121 is about 20446.0783770385. The cubic root of 418042121 is about 747.7217507442.

Adding to 418042121 its reverse (121240814), we get a palindrome (539282935).

The spelling of 418042121 in words is "four hundred eighteen million, forty-two thousand, one hundred twenty-one".

Divisors: 1 7 17 119 457 3199 7687 7769 53809 54383 130679 914753 3512959 24590713 59720303 418042121