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42214241224 = 239375631569
BaseRepresentation
bin100111010100001010…
…100011001111001000
311000221222112122102201
4213110022203033020
51142423321204344
631220513405544
73023052062401
oct472412431710
9130858478381
1042214241224
11169a2925271
1282215698b4
133c99a2c07c
1420866b49a8
1511710b84d4
hex9d42a33c8

42214241224 has 16 divisors (see below), whose sum is σ = 79236189900. Its totient is φ = 21084590592.

The previous prime is 42214241219. The next prime is 42214241261.

It is a happy number.

42214241224 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 41690289124 + 523952100 = 204182^2 + 22890^2 .

It is a super-2 number, since 2×422142412242 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42214241192 and 42214241201.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2808289 + ... + 2823280.

Almost surely, 242214241224 is an apocalyptic number.

It is an amenable number.

42214241224 is a deficient number, since it is larger than the sum of its proper divisors (37021948676).

42214241224 is a wasteful number, since it uses less digits than its factorization.

42214241224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5632512 (or 5632508 counting only the distinct ones).

The product of its digits is 8192, while the sum is 28.

The spelling of 42214241224 in words is "forty-two billion, two hundred fourteen million, two hundred forty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 8 937 1874 3748 7496 5631569 11263138 22526276 45052552 5276780153 10553560306 21107120612 42214241224