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414220331052 = 2232111046010937
BaseRepresentation
bin1100000011100010111…
…01001010100000101100
31110121011201122000221200
412001301131022200230
523241310401043202
6514142403125500
741632523502063
oct6016135124054
91417151560850
10414220331052
1114a74063a610
1268341673890
13300a37a2508
1416096a311da
15ab9504ee1c
hex607174a82c

414220331052 has 36 divisors (see below), whose sum is σ = 1142243944296. Its totient is φ = 125521312320.

The previous prime is 414220331033. The next prime is 414220331069. The reversal of 414220331052 is 250133022414.

414220331052 is a `hidden beast` number, since 4 + 142 + 203 + 310 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×4142203310523 (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 523005073 + ... + 523005864.

Almost surely, 2414220331052 is an apocalyptic number.

It is an amenable number.

414220331052 is an abundant number, since it is smaller than the sum of its proper divisors (728023613244).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414220331052 is a wasteful number, since it uses less digits than its factorization.

414220331052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046010958 (or 1046010953 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 414220331052 its reverse (250133022414), we get a palindrome (664353353466).

The spelling of 414220331052 in words is "four hundred fourteen billion, two hundred twenty million, three hundred thirty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1046010937 2092021874 3138032811 4184043748 6276065622 9414098433 11506120307 12552131244 18828196866 23012240614 34518360921 37656393732 46024481228 69036721842 103555082763 138073443684 207110165526 414220331052