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44540024400045 = 345113973233353
BaseRepresentation
bin10100010000010010010000…
…10101010010100010101101
312211200222120212210121120000
422020021020111102202231
521314220432221300140
6234421223231214513
712244624216523256
oct1210111025224255
9184628525717500
1044540024400045
11132123556882a9
124bb41a4077439
131bb114c6575c5
14adda6a55bb2d
155238c5511a30
hex2882485528ad

44540024400045 has 40 divisors (see below), whose sum is σ = 80548685310456. Its totient is φ = 23544461251584.

The previous prime is 44540024400043. The next prime is 44540024400059. The reversal of 44540024400045 is 54000442004544.

44540024400045 is a `hidden beast` number, since 4 + 4 + 5 + 400 + 244 + 0 + 0 + 0 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 384278489604 + 44155745910441 = 619902^2 + 6644979^2 .

It is not a de Polignac number, because 44540024400045 - 21 = 44540024400043 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 44540024399982 and 44540024400009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44540024400041) 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, 486570912 + ... + 486662441.

Almost surely, 244540024400045 is an apocalyptic number.

44540024400045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

44540024400045 is a deficient number, since it is larger than the sum of its proper divisors (36008660910411).

44540024400045 is a wasteful number, since it uses less digits than its factorization.

44540024400045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973233483 (or 973233474 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 36.

Adding to 44540024400045 its reverse (54000442004544), we get a palindrome (98540466404589).

The spelling of 44540024400045 in words is "forty-four trillion, five hundred forty billion, twenty-four million, four hundred thousand, forty-five".

Divisors: 1 3 5 9 15 27 45 81 113 135 339 405 565 1017 1695 3051 5085 9153 15255 45765 973233353 2919700059 4866166765 8759100177 14598500295 26277300531 43795500885 78831901593 109975368889 131386502655 329926106667 394159507965 549876844445 989778320001 1649630533335 2969334960003 4948891600005 8908004880009 14846674800015 44540024400045