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420414111 = 33131916271
BaseRepresentation
bin11001000011110…
…000001010011111
31002022002020202000
4121003300022133
51330111222421
6105414533343
713263314055
oct3103601237
91068066660
10420414111
111a6349387
12b8967253
136913b360
143db9a1d5
1526d97226
hex190f029f

420414111 has 32 divisors (see below), whose sum is σ = 674365440. Its totient is φ = 257320800.

The previous prime is 420414109. The next prime is 420414119. The reversal of 420414111 is 111414024.

It is not a de Polignac number, because 420414111 - 21 = 420414109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420414119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63906 + ... + 70176.

It is an arithmetic number, because the mean of its divisors is an integer number (21073920).

Almost surely, 2420414111 is an apocalyptic number.

420414111 is a deficient number, since it is larger than the sum of its proper divisors (253951329).

420414111 is a wasteful number, since it uses less digits than its factorization.

420414111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6484 (or 6478 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 420414111 is about 20504.0023166210. The cubic root of 420414111 is about 749.1332867968.

Adding to 420414111 its reverse (111414024), we get a palindrome (531828135).

The spelling of 420414111 in words is "four hundred twenty million, four hundred fourteen thousand, one hundred eleven".

Divisors: 1 3 9 13 27 39 117 191 351 573 1719 2483 5157 6271 7449 18813 22347 56439 67041 81523 169317 244569 733707 1197761 2201121 3593283 10779849 15570893 32339547 46712679 140138037 420414111