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414432421 = 13295710781
BaseRepresentation
bin11000101100111…
…011110010100101
31001212211100101221
4120230323302211
51322043314141
6105042420341
713161421534
oct3054736245
91055740357
10414432421
111a2a33237
12b69616b1
1367b257b0
143d08031b
15265b4bd1
hex18b3bca5

414432421 has 8 divisors (see below), whose sum is σ = 446504184. Its totient is φ = 382388160.

The previous prime is 414432419. The next prime is 414432433. The reversal of 414432421 is 124234414.

It can be written as a sum of positive squares in 4 ways, for example, as 2788900 + 411643521 = 1670^2 + 20289^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 414432421 - 21 = 414432419 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 (414432401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33051 + ... + 43831.

It is an arithmetic number, because the mean of its divisors is an integer number (55813023).

Almost surely, 2414432421 is an apocalyptic number.

It is an amenable number.

414432421 is a deficient number, since it is larger than the sum of its proper divisors (32071763).

414432421 is a wasteful number, since it uses less digits than its factorization.

414432421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13751.

The product of its digits is 3072, while the sum is 25.

The square root of 414432421 is about 20357.6133424329. The cubic root of 414432421 is about 745.5633898857.

Adding to 414432421 its reverse (124234414), we get a palindrome (538666835).

The spelling of 414432421 in words is "four hundred fourteen million, four hundred thirty-two thousand, four hundred twenty-one".

Divisors: 1 13 2957 10781 38441 140153 31879417 414432421