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45444312441 = 33111131354081
BaseRepresentation
bin101010010100101100…
…010010110101111001
311100022002111021011000
4222110230102311321
51221032220444231
632513221155213
73166103165553
oct522454226571
9140262437130
1045444312441
1118300147610
12898325bb09
134392c99108
1422b168a4d3
1512ae9566e6
hexa94b12d79

45444312441 has 32 divisors (see below), whose sum is σ = 74095367040. Its totient is φ = 27298252800.

The previous prime is 45444312439. The next prime is 45444312449. The reversal of 45444312441 is 14421344454.

45444312441 is a `hidden beast` number, since 4 + 54 + 443 + 124 + 41 = 666.

45444312441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45444312441 - 21 = 45444312439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 45444312396 and 45444312405.

It is not an unprimeable number, because it can be changed into a prime (45444312449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 643480 + ... + 710601.

It is an arithmetic number, because the mean of its divisors is an integer number (2315480220).

Almost surely, 245444312441 is an apocalyptic number.

It is an amenable number.

45444312441 is a deficient number, since it is larger than the sum of its proper divisors (28651054599).

45444312441 is a wasteful number, since it uses less digits than its factorization.

45444312441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354214 (or 1354208 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

Adding to 45444312441 its reverse (14421344454), we get a palindrome (59865656895).

The spelling of 45444312441 in words is "forty-five billion, four hundred forty-four million, three hundred twelve thousand, four hundred forty-one".

Divisors: 1 3 9 11 27 33 99 113 297 339 1017 1243 3051 3729 11187 33561 1354081 4062243 12186729 14894891 36560187 44684673 134054019 153011153 402162057 459033459 1377100377 1683122683 4131301131 5049368049 15148104147 45444312441