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104455514241 = 3213892782173
BaseRepresentation
bin110000101001000001…
…0001010100010000001
3100222121200110220202200
41201102002022202001
53202411102423431
6115553004103413
710355335135641
oct1412202124201
9328550426680
10104455514241
1140332461981
12182b1b34b69
139b0890b9c0
1450acaaa521
152ab548bee6
hex185208a881

104455514241 has 12 divisors (see below), whose sum is σ = 162486355668. Its totient is φ = 64280316384.

The previous prime is 104455514209. The next prime is 104455514249. The reversal of 104455514241 is 142415554401.

104455514241 is a `hidden beast` number, since 10 + 44 + 55 + 514 + 2 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39552856641 + 64902657600 = 198879^2 + 254760^2 .

It is not a de Polignac number, because 104455514241 - 25 = 104455514209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 104455514196 and 104455514205.

It is not an unprimeable number, because it can be changed into a prime (104455514249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 446390970 + ... + 446391203.

It is an arithmetic number, because the mean of its divisors is an integer number (13540529639).

Almost surely, 2104455514241 is an apocalyptic number.

It is an amenable number.

104455514241 is a deficient number, since it is larger than the sum of its proper divisors (58030841427).

104455514241 is a wasteful number, since it uses less digits than its factorization.

104455514241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892782192 (or 892782189 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 104455514241 in words is "one hundred four billion, four hundred fifty-five million, five hundred fourteen thousand, two hundred forty-one".

Divisors: 1 3 9 13 39 117 892782173 2678346519 8035039557 11606168249 34818504747 104455514241