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1442444031 = 3475774409
BaseRepresentation
bin101010111111001…
…1111001011111111
310201112012202020000
41111332133023333
510423231202111
6355044325343
750513400120
oct12576371377
93645182200
101442444031
11680249606
123430a3853
1319cabc8a2
14d9800047
158697ac56
hex55f9f2ff

1442444031 has 40 divisors (see below), whose sum is σ = 2467412640. Its totient is φ = 822638592.

The previous prime is 1442444009. The next prime is 1442444041. The reversal of 1442444031 is 1304442441.

1442444031 is a `hidden beast` number, since 14 + 4 + 244 + 403 + 1 = 666.

It is not a de Polignac number, because 1442444031 - 27 = 1442443903 is a prime.

It is a super-2 number, since 2×14424440312 = 4161289565135057922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1442443986 and 1442444004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442444041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 324955 + ... + 329363.

It is an arithmetic number, because the mean of its divisors is an integer number (61685316).

Almost surely, 21442444031 is an apocalyptic number.

1442444031 is a deficient number, since it is larger than the sum of its proper divisors (1024968609).

1442444031 is an equidigital number, since it uses as much as digits as its factorization.

1442444031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5005 (or 4996 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 1442444031 is about 37979.5212055128. The cubic root of 1442444031 is about 1129.8817405674.

Adding to 1442444031 its reverse (1304442441), we get a palindrome (2746886472).

The spelling of 1442444031 in words is "one billion, four hundred forty-two million, four hundred forty-four thousand, thirty-one".

Divisors: 1 3 7 9 21 27 63 81 189 567 577 1731 4039 4409 5193 12117 13227 15579 30863 36351 39681 46737 92589 109053 119043 277767 327159 357129 833301 2499903 2543993 7631979 17807951 22895937 53423853 68687811 160271559 206063433 480814677 1442444031