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414012205424 = 24187326175279
BaseRepresentation
bin1100000011001010000…
…11001110100101110000
31110120122020000011021002
412001211003032211300
523240344111033144
6514110010221132
741624415452606
oct6014503164560
91416566004232
10414012205424
1114a644107764
12682a3a247a8
133006c63185c
1416077135876
15ab81b3d14e
hex60650ce970

414012205424 has 40 divisors (see below), whose sum is σ = 803035685760. Its totient is φ = 206777346048.

The previous prime is 414012205393. The next prime is 414012205427. The reversal of 414012205424 is 424502210414.

It is a happy number.

It is a super-2 number, since 2×4140122054242 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414012205427) 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, 78423617 + ... + 78428895.

It is an arithmetic number, because the mean of its divisors is an integer number (20075892144).

Almost surely, 2414012205424 is an apocalyptic number.

It is an amenable number.

414012205424 is a deficient number, since it is larger than the sum of its proper divisors (389023480336).

414012205424 is a wasteful number, since it uses less digits than its factorization.

414012205424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9777 (or 9771 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 29.

Adding to 414012205424 its reverse (424502210414), we get a palindrome (838514415838).

The spelling of 414012205424 in words is "four hundred fourteen billion, twelve million, two hundred five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 1873 2617 3746 5234 5279 7492 10468 10558 14984 20936 21116 29968 41872 42232 84464 4901641 9803282 9887567 13815143 19606564 19775134 27630286 39213128 39550268 55260572 78426256 79100536 110521144 158201072 221042288 25875762839 51751525678 103503051356 207006102712 414012205424