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4444300431 = 3219294791871
BaseRepresentation
bin1000010001110011…
…01010010010001111
3102110201201212001200
410020321222102033
533100220103211
62013000440543
7215063634054
oct41071522217
912421655050
104444300431
11198076776a
12a40479153
1355a9a408c
1430236b02b
151b0289b56
hex108e6a48f

4444300431 has 48 divisors (see below), whose sum is σ = 7008768000. Its totient is φ = 2703032640.

The previous prime is 4444300409. The next prime is 4444300433. The reversal of 4444300431 is 1340034444.

It is not a de Polignac number, because 4444300431 - 231 = 2296816783 is a prime.

It is a super-2 number, since 2×44443004312 = 39503612641973571522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4444300395 and 4444300404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4444300433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2374426 + ... + 2376296.

It is an arithmetic number, because the mean of its divisors is an integer number (146016000).

Almost surely, 24444300431 is an apocalyptic number.

4444300431 is a deficient number, since it is larger than the sum of its proper divisors (2564467569).

4444300431 is a wasteful number, since it uses less digits than its factorization.

4444300431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4444300431 is about 66665.5865570836. The cubic root of 4444300431 is about 1644.1236243104.

Adding to 4444300431 its reverse (1340034444), we get a palindrome (5784334875).

The spelling of 4444300431 in words is "four billion, four hundred forty-four million, three hundred thousand, four hundred thirty-one".

Divisors: 1 3 9 19 29 57 87 171 261 479 551 1437 1653 1871 4311 4959 5613 9101 13891 16839 27303 35549 41673 54259 81909 106647 125019 162777 263929 319941 488331 791787 896209 1030921 2375361 2688627 3092763 8065881 9278289 17027971 25990061 51083913 77970183 153251739 233910549 493811159 1481433477 4444300431