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414101135 = 5730193919
BaseRepresentation
bin11000101011101…
…010111010001111
31001212012111222002
4120223222322033
51322002214020
6105031342515
713155541640
oct3053527217
91055174862
10414101135
111a2827348
12b6821a3b
1367a3aa76
143cdd56c7
152654b975
hex18aeae8f

414101135 has 16 divisors (see below), whose sum is σ = 568243200. Its totient is φ = 283788576.

The previous prime is 414101119. The next prime is 414101141. The reversal of 414101135 is 531101414.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 414101135 - 24 = 414101119 is a prime.

It is a congruent number.

It is an unprimeable number.

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, 103706 + ... + 107624.

It is an arithmetic number, because the mean of its divisors is an integer number (35515200).

Almost surely, 2414101135 is an apocalyptic number.

414101135 is a deficient number, since it is larger than the sum of its proper divisors (154142065).

414101135 is a wasteful number, since it uses less digits than its factorization.

414101135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6950.

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 414101135 is about 20349.4750546544. The cubic root of 414101135 is about 745.3646758988.

Adding to 414101135 its reverse (531101414), we get a palindrome (945202549).

The spelling of 414101135 in words is "four hundred fourteen million, one hundred one thousand, one hundred thirty-five".

Divisors: 1 5 7 35 3019 3919 15095 19595 21133 27433 105665 137165 11831461 59157305 82820227 414101135