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444423122331 = 31914952328167
BaseRepresentation
bin1100111011110011010…
…11101010110110011011
31120111010121111210122220
412131321223222312123
524240134304403311
6540055401515123
744052135132126
oct6357153526633
91514117453586
10444423122331
1116152a2a2741
12721704a2aa3
1332ba7b8b246
141771dd873bd
15b861885206
hex6779aead9b

444423122331 has 16 divisors (see below), whose sum is σ = 627938016000. Its totient is φ = 278804468448.

The previous prime is 444423122323. The next prime is 444423122441. The reversal of 444423122331 is 133221324444.

It is not a de Polignac number, because 444423122331 - 23 = 444423122323 is a prime.

It is a super-3 number, since 3×4444231223313 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 444423122292 and 444423122301.

It is not an unprimeable number, because it can be changed into a prime (444423120331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26155591 + ... + 26172576.

It is an arithmetic number, because the mean of its divisors is an integer number (39246126000).

Almost surely, 2444423122331 is an apocalyptic number.

444423122331 is a deficient number, since it is larger than the sum of its proper divisors (183514893669).

444423122331 is a wasteful number, since it uses less digits than its factorization.

444423122331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52328338.

The product of its digits is 55296, while the sum is 33.

Adding to 444423122331 its reverse (133221324444), we get a palindrome (577644446775).

The spelling of 444423122331 in words is "four hundred forty-four billion, four hundred twenty-three million, one hundred twenty-two thousand, three hundred thirty-one".

Divisors: 1 3 19 57 149 447 2831 8493 52328167 156984501 994235173 2982705519 7796896883 23390690649 148141040777 444423122331