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45034052432141 = 172923149895253
BaseRepresentation
bin10100011110101010011101…
…01100101011000100001101
312220110012202112200220221002
422033111032230223010031
521400314214410312031
6235440205202350045
712325413541515533
oct1217251654530415
9186405675626832
1045034052432141
111339291a620933
125073a9905b325
131c18901472956
14b1993458c153
1553168bbe7ccb
hex28f54eb2b10d

45034052432141 has 12 divisors (see below), whose sum is σ = 49384057792212. Its totient is φ = 40923439113984.

The previous prime is 45034052432099. The next prime is 45034052432183. The reversal of 45034052432141 is 14123425043054.

45034052432141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45034052432099) and next prime (45034052432183).

It can be written as a sum of positive squares in 6 ways, for example, as 1283156545225 + 43750895886916 = 1132765^2 + 6614446^2 .

It is not a de Polignac number, because 45034052432141 - 234 = 45016872562957 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 45034052432095 and 45034052432104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45034052432441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1574933330 + ... + 1574961923.

It is an arithmetic number, because the mean of its divisors is an integer number (4115338149351).

Almost surely, 245034052432141 is an apocalyptic number.

It is an amenable number.

45034052432141 is a deficient number, since it is larger than the sum of its proper divisors (4350005360071).

45034052432141 is a wasteful number, since it uses less digits than its factorization.

45034052432141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3149895328 (or 3149895299 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

Adding to 45034052432141 its reverse (14123425043054), we get a palindrome (59157477475195).

The spelling of 45034052432141 in words is "forty-five trillion, thirty-four billion, fifty-two million, four hundred thirty-two thousand, one hundred forty-one".

Divisors: 1 17 29 493 841 14297 3149895253 53548219301 91346962337 1552898359729 2649061907773 45034052432141