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414410641 is a prime number
BaseRepresentation
bin11000101100110…
…110011110010001
31001212210020112021
4120230312132101
51322042120031
6105042131441
713161301201
oct3054663621
91055706467
10414410641
111a2a18937
12b6950b81
1367b188c8
143d076401
15265ad511
hex18b36791

414410641 has 2 divisors, whose sum is σ = 414410642. Its totient is φ = 414410640.

The previous prime is 414410629. The next prime is 414410677. The reversal of 414410641 is 146014414.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 400160016 + 14250625 = 20004^2 + 3775^2 .

It is a cyclic number.

It is not a de Polignac number, because 414410641 - 213 = 414402449 is a prime.

It is not a weakly prime, because it can be changed into another prime (414410621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207205320 + 207205321.

It is an arithmetic number, because the mean of its divisors is an integer number (207205321).

Almost surely, 2414410641 is an apocalyptic number.

It is an amenable number.

414410641 is a deficient number, since it is larger than the sum of its proper divisors (1).

414410641 is an equidigital number, since it uses as much as digits as its factorization.

414410641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 414410641 is about 20357.0784003992. The cubic root of 414410641 is about 745.5503289263.

The spelling of 414410641 in words is "four hundred fourteen million, four hundred ten thousand, six hundred forty-one".