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444432122312 = 2378193710473
BaseRepresentation
bin1100111011110100011…
…10000000000111001000
31120111011020110001022112
412131322032000013020
524240144110403222
6540100322441452
744052304465133
oct6357216000710
91514136401275
10444432122312
1116153438a542
1272173503288
1332ba99bc889
141772124b21a
15b862561be2
hex677a3801c8

444432122312 has 16 divisors (see below), whose sum is σ = 833322059340. Its totient is φ = 222212906496.

The previous prime is 444432122311. The next prime is 444432122363. The reversal of 444432122312 is 213221234444.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 274791930436 + 169640191876 = 524206^2 + 411874^2 .

It is a super-2 number, since 2×4444321223122 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (444432122311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 270308 + ... + 980780.

Almost surely, 2444432122312 is an apocalyptic number.

It is an amenable number.

444432122312 is a deficient number, since it is larger than the sum of its proper divisors (388889937028).

444432122312 is a wasteful number, since it uses less digits than its factorization.

444432122312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788672 (or 788668 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

Adding to 444432122312 its reverse (213221234444), we get a palindrome (657653356756).

The spelling of 444432122312 in words is "four hundred forty-four billion, four hundred thirty-two million, one hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 78193 156386 312772 625544 710473 1420946 2841892 5683784 55554015289 111108030578 222216061156 444432122312