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414062121 = 3115857
BaseRepresentation
bin11000101011100…
…001011000101001
31001212010112110010
4120223201120221
51321444441441
6105030442133
713155320124
oct3053413051
91055115403
10414062121
111a2800000
12b6803349
1367a26095
143cdc53bb
1526540116
hex18ae1629

414062121 has 24 divisors (see below), whose sum is σ = 607999392. Its totient is φ = 250653920.

The previous prime is 414062119. The next prime is 414062137. The reversal of 414062121 is 121260414.

It is a happy number.

It is not a de Polignac number, because 414062121 - 21 = 414062119 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414062101) 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 23 ways as a sum of consecutive naturals, for example, 482725 + ... + 483581.

It is an arithmetic number, because the mean of its divisors is an integer number (25333308).

Almost surely, 2414062121 is an apocalyptic number.

It is an amenable number.

414062121 is a deficient number, since it is larger than the sum of its proper divisors (193937271).

414062121 is an frugal number, since it uses more digits than its factorization.

414062121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 414062121 is about 20348.5164324085. The cubic root of 414062121 is about 745.3412673090.

The spelling of 414062121 in words is "four hundred fourteen million, sixty-two thousand, one hundred twenty-one".

Divisors: 1 3 11 33 121 363 857 1331 2571 3993 9427 14641 28281 43923 103697 161051 311091 483153 1140667 3422001 12547337 37642011 138020707 414062121