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414132135 = 35231200383
BaseRepresentation
bin11000101011110…
…010011110100111
31001212021002111020
4120223302132213
51322004212020
6105032142223
713156031214
oct3053623647
91055232436
10414132135
111a284866a
12b6837973
1367a4bc01
143d002b0b
1526555c40
hex18af27a7

414132135 has 16 divisors (see below), whose sum is σ = 691421184. Its totient is φ = 211267232.

The previous prime is 414132133. The next prime is 414132143. The reversal of 414132135 is 531231414.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 414132135 - 21 = 414132133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414132133) 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 15 ways as a sum of consecutive naturals, for example, 599847 + ... + 600536.

It is an arithmetic number, because the mean of its divisors is an integer number (43213824).

Almost surely, 2414132135 is an apocalyptic number.

414132135 is a deficient number, since it is larger than the sum of its proper divisors (277289049).

414132135 is a wasteful number, since it uses less digits than its factorization.

414132135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200414.

The product of its digits is 1440, while the sum is 24.

The square root of 414132135 is about 20350.2367308098. The cubic root of 414132135 is about 745.3832750013.

Adding to 414132135 its reverse (531231414), we get a palindrome (945363549).

The spelling of 414132135 in words is "four hundred fourteen million, one hundred thirty-two thousand, one hundred thirty-five".

Divisors: 1 3 5 15 23 69 115 345 1200383 3601149 6001915 18005745 27608809 82826427 138044045 414132135