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44132131425 = 3525379313449
BaseRepresentation
bin101001000110011110…
…101110001001100001
311012220122101120012010
4221012132232021201
51210340311201200
632135104423133
73121430633124
oct510636561141
9135818346163
1044132131425
111779748a598
128677917aa9
134214187945
1421c92b83bb
15123465c150
hexa467ae261

44132131425 has 96 divisors (see below), whose sum is σ = 75691584000. Its totient is φ = 22677258240.

The previous prime is 44132131411. The next prime is 44132131471. The reversal of 44132131425 is 52413123144.

It is not a de Polignac number, because 44132131425 - 26 = 44132131361 is a prime.

It is a super-2 number, since 2×441321314252 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44132131392 and 44132131401.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 98289601 + ... + 98290049.

It is an arithmetic number, because the mean of its divisors is an integer number (788454000).

Almost surely, 244132131425 is an apocalyptic number.

It is an amenable number.

44132131425 is a deficient number, since it is larger than the sum of its proper divisors (31559452575).

44132131425 is a wasteful number, since it uses less digits than its factorization.

44132131425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 902 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

Adding to 44132131425 its reverse (52413123144), we get a palindrome (96545254569).

The spelling of 44132131425 in words is "forty-four billion, one hundred thirty-two million, one hundred thirty-one thousand, four hundred twenty-five".

Divisors: 1 3 5 15 25 53 75 79 159 237 265 313 395 449 795 939 1185 1325 1347 1565 1975 2245 3975 4187 4695 5925 6735 7825 11225 12561 16589 20935 23475 23797 24727 33675 35471 49767 62805 71391 74181 82945 104675 106413 118985 123635 140537 177355 248835 314025 356955 370905 414725 421611 532065 594925 618175 702685 886775 1244175 1310531 1784775 1854525 1879963 2108055 2660325 3513425 3931593 5639889 6552655 7448461 9399815 10540275 11102423 19657965 22345383 28199445 32763275 33307269 37242305 46999075 55512115 98289825 111726915 140997225 166536345 186211525 277560575 558634575 588428419 832681725 1765285257 2942142095 8826426285 14710710475 44132131425