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444002132129 = 19072011115777
BaseRepresentation
bin1100111011000001001…
…01101110000010100001
31120110001021100021200012
412131200211232002201
524233304021212004
6535545522334305
744035533565343
oct6354045560241
91513037307605
10444002132129
111613336a0556
12720734ba395
1332b3b8aa90a
14176c00bb293
15b83992746e
hex676096e0a1

444002132129 has 8 divisors (see below), whose sum is σ = 444459701088. Its totient is φ = 443544802560.

The previous prime is 444002132117. The next prime is 444002132141. The reversal of 444002132129 is 921231200444.

It is an interprime number because it is at equal distance from previous prime (444002132117) and next prime (444002132141).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 444002132129 - 212 = 444002128033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 444002132095 and 444002132104.

It is not an unprimeable number, because it can be changed into a prime (444002132729) 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 7 ways as a sum of consecutive naturals, for example, 3777089 + ... + 3892865.

It is an arithmetic number, because the mean of its divisors is an integer number (55557462636).

Almost surely, 2444002132129 is an apocalyptic number.

It is an amenable number.

444002132129 is a deficient number, since it is larger than the sum of its proper divisors (457568959).

444002132129 is a wasteful number, since it uses less digits than its factorization.

444002132129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119695.

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 444002132129 in words is "four hundred forty-four billion, two million, one hundred thirty-two thousand, one hundred twenty-nine".

Divisors: 1 1907 2011 115777 3834977 220786739 232827547 444002132129