Search a number
-
+
10444741851481 = 72467514788681
BaseRepresentation
bin1001011111111101101100…
…1000001011100101011001
31100222111201000111011200121
42113333123020023211121
52332111312403221411
634114125334233241
72125415303613100
oct227773310134531
940874630434617
1010444741851481
113367654532683
121208316ab5821
135a9c200713a2
14281757563037
15131a59786571
hex97fdb20b959

10444741851481 has 24 divisors (see below), whose sum is σ = 12178525952736. Its totient is φ = 8931628964160.

The previous prime is 10444741851473. The next prime is 10444741851491. The reversal of 10444741851481 is 18415814744401.

It is not a de Polignac number, because 10444741851481 - 23 = 10444741851473 is a prime.

It is a super-3 number, since 3×104447418514813 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10444741851421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117734461 + ... + 117823141.

It is an arithmetic number, because the mean of its divisors is an integer number (507438581364).

Almost surely, 210444741851481 is an apocalyptic number.

It is an amenable number.

10444741851481 is a deficient number, since it is larger than the sum of its proper divisors (1733784101255).

10444741851481 is an equidigital number, since it uses as much as digits as its factorization.

10444741851481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94309 (or 94302 counting only the distinct ones).

The product of its (nonzero) digits is 2293760, while the sum is 52.

The spelling of 10444741851481 in words is "ten trillion, four hundred forty-four billion, seven hundred forty-one million, eight hundred fifty-one thousand, four hundred eighty-one".

Divisors: 1 7 49 467 3269 5147 22883 36029 88681 252203 620767 2403649 4345369 16825543 41414027 117778801 289898189 456441107 2029287323 3195087749 22365614243 213157996969 1492105978783 10444741851481