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414245429 = 131916310289
BaseRepresentation
bin11000101100001…
…110001000110101
31001212110211220022
4120230032020311
51322021323204
6105034414525
713160012423
oct3054161065
91055424808
10414245429
111a29157a4
12b6891445
1367a8b650
143d032113
15265795be
hex18b0e235

414245429 has 16 divisors (see below), whose sum is σ = 472516800. Its totient is φ = 359997696.

The previous prime is 414245417. The next prime is 414245441. The reversal of 414245429 is 924542414.

It is an interprime number because it is at equal distance from previous prime (414245417) and next prime (414245441).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-414245429 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414245459) 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, 35117 + ... + 45405.

It is an arithmetic number, because the mean of its divisors is an integer number (29532300).

Almost surely, 2414245429 is an apocalyptic number.

It is an amenable number.

414245429 is a deficient number, since it is larger than the sum of its proper divisors (58271371).

414245429 is a wasteful number, since it uses less digits than its factorization.

414245429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10484.

The product of its digits is 46080, while the sum is 35.

The square root of 414245429 is about 20353.0201444405. The cubic root of 414245429 is about 745.4512402279.

The spelling of 414245429 in words is "four hundred fourteen million, two hundred forty-five thousand, four hundred twenty-nine".

Divisors: 1 13 19 163 247 2119 3097 10289 40261 133757 195491 1677107 2541383 21802391 31865033 414245429