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45305445141 = 32112915780371
BaseRepresentation
bin101010001100011010…
…100011101100010101
311022221102012002000200
4222030122203230111
51220241143221031
632451340531113
73162465633615
oct521432435425
9138842162020
1045305445141
1118239819550
128944850a99
134370297508
14229b05ca45
1512a26758e6
hexa8c6a3b15

45305445141 has 24 divisors (see below), whose sum is σ = 73852140960. Its totient is φ = 26511021600.

The previous prime is 45305445037. The next prime is 45305445151. The reversal of 45305445141 is 14154450354.

45305445141 is a `hidden beast` number, since 45 + 30 + 5 + 445 + 141 = 666.

It is not a de Polignac number, because 45305445141 - 27 = 45305445013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 45305445096 and 45305445105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45305445151) 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 23 ways as a sum of consecutive naturals, for example, 7887315 + ... + 7893056.

It is an arithmetic number, because the mean of its divisors is an integer number (3077172540).

Almost surely, 245305445141 is an apocalyptic number.

It is an amenable number.

45305445141 is a deficient number, since it is larger than the sum of its proper divisors (28546695819).

45305445141 is a wasteful number, since it uses less digits than its factorization.

45305445141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15780417 (or 15780414 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 45305445141 its reverse (14154450354), we get a palindrome (59459895495).

The spelling of 45305445141 in words is "forty-five billion, three hundred five million, four hundred forty-five thousand, one hundred forty-one".

Divisors: 1 3 9 11 29 33 87 99 261 319 957 2871 15780371 47341113 142023339 173584081 457630759 520752243 1372892277 1562256729 4118676831 5033938349 15101815047 45305445141