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422384416353 = 32241388150177
BaseRepresentation
bin1100010010110000001…
…00101011011001100001
31111101020200210112120100
412021120010223121201
523410020402310403
6522012443533013
742342036205044
oct6113004533141
91441220715510
10422384416353
1115314aa9a749
1269a3b82a169
1330aa5006713
141662d00cc5b
15aec1b5d2a3
hex625812b661

422384416353 has 24 divisors (see below), whose sum is σ = 612812473416. Its totient is φ = 280343347200.

The previous prime is 422384416331. The next prime is 422384416361. The reversal of 422384416353 is 353614483224.

422384416353 is a `hidden beast` number, since 4 + 2 + 2 + 3 + 8 + 4 + 4 + 1 + 635 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 290900579904 + 131483836449 = 539352^2 + 362607^2 .

It is not a de Polignac number, because 422384416353 - 210 = 422384415329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 422384416299 and 422384416308.

It is not an unprimeable number, because it can be changed into a prime (422384416303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8392801 + ... + 8442977.

It is an arithmetic number, because the mean of its divisors is an integer number (25533853059).

Almost surely, 2422384416353 is an apocalyptic number.

It is an amenable number.

422384416353 is a deficient number, since it is larger than the sum of its proper divisors (190428057063).

422384416353 is a wasteful number, since it uses less digits than its factorization.

422384416353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54305 (or 54302 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

Adding to 422384416353 its reverse (353614483224), we get a palindrome (775998899577).

The spelling of 422384416353 in words is "four hundred twenty-two billion, three hundred eighty-four million, four hundred sixteen thousand, three hundred fifty-three".

Divisors: 1 3 9 241 723 2169 3881 11643 34929 50177 150531 451593 935321 2805963 8417889 12092657 36277971 108833913 194736937 584210811 1752632433 46931601817 140794805451 422384416353