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414024022429 is a prime number
BaseRepresentation
bin1100000011001011100…
…00010011100110011101
31110120200001020112010221
412001211300103212131
523240410122204204
6514111111401341
741624621060533
oct6014560234635
91416601215127
10414024022429
1114a64a848a86
12682a7983251
1330071c0b474
1416078930153
15ab82bc4654
hex6065c1399d

414024022429 has 2 divisors, whose sum is σ = 414024022430. Its totient is φ = 414024022428.

The previous prime is 414024022343. The next prime is 414024022439. The reversal of 414024022429 is 924220420414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 259409918329 + 154614104100 = 509323^2 + 393210^2 .

It is a cyclic number.

It is not a de Polignac number, because 414024022429 - 217 = 414023891357 is a prime.

It is a super-2 number, since 2×4140240224292 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414024022394 and 414024022403.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414024022439) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207012011214 + 207012011215.

It is an arithmetic number, because the mean of its divisors is an integer number (207012011215).

Almost surely, 2414024022429 is an apocalyptic number.

It is an amenable number.

414024022429 is a deficient number, since it is larger than the sum of its proper divisors (1).

414024022429 is an equidigital number, since it uses as much as digits as its factorization.

414024022429 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36864, while the sum is 34.

The spelling of 414024022429 in words is "four hundred fourteen billion, twenty-four million, twenty-two thousand, four hundred twenty-nine".