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244463654223045 = 32529902812074949
BaseRepresentation
bin110111100101011010100001…
…010001010011110011000101
31012001120111102101110201012100
4313211122201101103303011
5224020243030440114140
62223533015150542313
7102330626150301615
oct6745324121236305
91161514371421170
10244463654223045
11709914a9722294
122350283b207999
13a653a9280402a
14445216551aa45
151d3e0d9ad5530
hexde56a1453cc5

244463654223045 has 48 divisors (see below), whose sum is σ = 438353688006000. Its totient is φ = 125883277255680.

The previous prime is 244463654223013. The next prime is 244463654223053. The reversal of 244463654223045 is 540322456364442.

244463654223045 is a `hidden beast` number, since 2 + 4 + 4 + 4 + 6 + 36 + 542 + 23 + 0 + 45 = 666.

244463654223045 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 40410457314084 + 204053196908961 = 6356922^2 + 14284719^2 .

It is not a de Polignac number, because 244463654223045 - 25 = 244463654223013 is a prime.

It is a super-3 number, since 3×2444636542230453 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 244463654222982 and 244463654223000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116779231 + ... + 118854179.

It is an arithmetic number, because the mean of its divisors is an integer number (9132368500125).

Almost surely, 2244463654223045 is an apocalyptic number.

It is an amenable number.

244463654223045 is a deficient number, since it is larger than the sum of its proper divisors (193890033782955).

244463654223045 is a wasteful number, since it uses less digits than its factorization.

244463654223045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2165270 (or 2165267 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 54.

The spelling of 244463654223045 in words is "two hundred forty-four trillion, four hundred sixty-three billion, six hundred fifty-four million, two hundred twenty-three thousand, forty-five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 1305 90281 270843 451405 812529 1354215 2074949 2618149 4062645 6224847 7854447 10374745 13090745 18674541 23563341 31124235 39272235 60173521 93372705 117816705 180520563 300867605 541561689 902602815 2707808445 187328470669 561985412007 936642353345 1685956236021 2809927060035 5432525649401 8429781180105 16297576948203 27162628247005 48892730844609 81487884741015 244463654223045