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442040423444 = 22539532187929
BaseRepresentation
bin1100110111010111010…
…10011001010000010100
31120020222120001011020222
412123223222121100110
524220244322022234
6535023124213512
743636113414134
oct6335352312024
91506876034228
10442040423444
11160517327804
127180653a298
13328b834c449
141757574cac4
15b7725ca42e
hex66eba99414

442040423444 has 24 divisors (see below), whose sum is σ = 788993813160. Its totient is φ = 216622375424.

The previous prime is 442040423443. The next prime is 442040423449. The reversal of 442040423444 is 444324040244.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 229115395600 + 212925027844 = 478660^2 + 461438^2 .

It is a super-3 number, since 3×4420404234443 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442040423443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 891929 + ... + 1296000.

It is an arithmetic number, because the mean of its divisors is an integer number (32874742215).

Almost surely, 2442040423444 is an apocalyptic number.

It is an amenable number.

442040423444 is a deficient number, since it is larger than the sum of its proper divisors (346953389716).

442040423444 is a wasteful number, since it uses less digits than its factorization.

442040423444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188939 (or 2188937 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 35.

Adding to 442040423444 its reverse (444324040244), we get a palindrome (886364463688).

The spelling of 442040423444 in words is "four hundred forty-two billion, forty million, four hundred twenty-three thousand, four hundred forty-four".

Divisors: 1 2 4 53 106 212 953 1906 3812 50509 101018 202036 2187929 4375858 8751716 115960237 231920474 463840948 2085096337 4170192674 8340385348 110510105861 221020211722 442040423444