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414144310 = 25172436143
BaseRepresentation
bin11000101011110…
…101011100110110
31001212021201012011
4120223311130312
51322010104220
6105032314434
713156111546
oct3053653466
91055251164
10414144310
111a2856828
12b6842a1a
1367a54608
143d007326
152655965a
hex18af5736

414144310 has 16 divisors (see below), whose sum is σ = 789310656. Its totient is φ = 155913088.

The previous prime is 414144277. The next prime is 414144319. The reversal of 414144310 is 13441414.

It is a super-2 number, since 2×4141443102 = 343031019010752200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414144319) 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 7 ways as a sum of consecutive naturals, for example, 1217902 + ... + 1218241.

It is an arithmetic number, because the mean of its divisors is an integer number (49331916).

Almost surely, 2414144310 is an apocalyptic number.

414144310 is a deficient number, since it is larger than the sum of its proper divisors (375166346).

414144310 is a wasteful number, since it uses less digits than its factorization.

414144310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436167.

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 414144310 is about 20350.5358651806. The cubic root of 414144310 is about 745.3905793950.

Adding to 414144310 its reverse (13441414), we get a palindrome (427585724).

The spelling of 414144310 in words is "four hundred fourteen million, one hundred forty-four thousand, three hundred ten".

Divisors: 1 2 5 10 17 34 85 170 2436143 4872286 12180715 24361430 41414431 82828862 207072155 414144310