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442424434212 = 2236151723057
BaseRepresentation
bin1100111000000101000…
…11010001111000100100
31120021222022121221000000
412130002203101320210
524222041123343322
6535125203021300
743651455433065
oct6340243217044
91507868557000
10442424434212
111606a4071782
12718b306a830
1332949a83057
14175b075056c
15b7961813ac
hex67028d1e24

442424434212 has 42 divisors (see below), whose sum is σ = 1160833116758. Its totient is φ = 147474810432.

The previous prime is 442424434181. The next prime is 442424434229. The reversal of 442424434212 is 212434424244.

442424434212 is a `hidden beast` number, since 4 + 4 + 2 + 4 + 2 + 4 + 434 + 212 = 666.

It can be written as a sum of positive squares in only one way, i.e., 440874752256 + 1549681956 = 663984^2 + 39366^2 .

It is a super-3 number, since 3×4424244342123 (a number of 36 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 75858613 + ... + 75864444.

Almost surely, 2442424434212 is an apocalyptic number.

It is an amenable number.

442424434212 is an abundant number, since it is smaller than the sum of its proper divisors (718408682546).

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

442424434212 is a wasteful number, since it uses less digits than its factorization.

442424434212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151723079 (or 151723062 counting only the distinct ones).

The product of its digits is 196608, while the sum is 36.

Adding to 442424434212 its reverse (212434424244), we get a palindrome (654858858456).

The spelling of 442424434212 in words is "four hundred forty-two billion, four hundred twenty-four million, four hundred thirty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 151723057 303446114 455169171 606892228 910338342 1365507513 1820676684 2731015026 4096522539 5462030052 8193045078 12289567617 16386090156 24579135234 36868702851 49158270468 73737405702 110606108553 147474811404 221212217106 442424434212