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45444540105 = 345409274349
BaseRepresentation
bin101010010100101101…
…001010011011001001
311100022002220211110000
4222110231022123021
51221032300240410
632513230113213
73166105134366
oct522455123311
9140262824400
1045444540105
1118300292668
12898334b809
134393048923
1422b170946d
1512ae99ddc0
hexa94b4a6c9

45444540105 has 40 divisors (see below), whose sum is σ = 81663021000. Its totient is φ = 24177740544.

The previous prime is 45444540101. The next prime is 45444540143. The reversal of 45444540105 is 50104544454.

45444540105 is a `hidden beast` number, since 4 + 5 + 4 + 4 + 4 + 540 + 105 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12664351296 + 32780188809 = 112536^2 + 181053^2 .

It is not a de Polignac number, because 45444540105 - 22 = 45444540101 is a prime.

It is a super-2 number, since 2×454445401052 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45444540105.

It is not an unprimeable number, because it can be changed into a prime (45444540101) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 28471 + ... + 302819.

It is an arithmetic number, because the mean of its divisors is an integer number (2041575525).

Almost surely, 245444540105 is an apocalyptic number.

45444540105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45444540105 is a deficient number, since it is larger than the sum of its proper divisors (36218480895).

45444540105 is a wasteful number, since it uses less digits than its factorization.

45444540105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274775 (or 274766 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

The spelling of 45444540105 in words is "forty-five billion, four hundred forty-four million, five hundred forty thousand, one hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 405 409 1227 2045 3681 6135 11043 18405 33129 55215 165645 274349 823047 1371745 2469141 4115235 7407423 12345705 22222269 37037115 111111345 112208741 336626223 561043705 1009878669 1683131115 3029636007 5049393345 9088908021 15148180035 45444540105