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45123245121140 = 22515307714738741
BaseRepresentation
bin10100100001010000100101…
…11111110001111001110100
312220202201222112110222112222
422100220102333301321310
521403244401222334030
6235545155503301512
712335022036045644
oct1220502277617164
9186681875428488
1045123245121140
111341772a56824a
12508922b5aa898
131c24146c523c4
14b1dd9617a524
15533b5c2563e5
hex290a12ff1e74

45123245121140 has 24 divisors (see below), whose sum is σ = 94759440210792. Its totient is φ = 18049178913920.

The previous prime is 45123245121137. The next prime is 45123245121161. The reversal of 45123245121140 is 4112154232154.

45123245121140 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 4 ways, for example, as 14255064745744 + 30868180375396 = 3775588^2 + 5555914^2 .

It is a super-2 number, since 2×451232451211402 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45123245121140.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4307831 + ... + 10430910.

It is an arithmetic number, because the mean of its divisors is an integer number (3948310008783).

Almost surely, 245123245121140 is an apocalyptic number.

It is an amenable number.

45123245121140 is an abundant number, since it is smaller than the sum of its proper divisors (49636195089652).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45123245121140 is a wasteful number, since it uses less digits than its factorization.

45123245121140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14891827 (or 14891825 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

Adding to 45123245121140 its reverse (4112154232154), we get a palindrome (49235399353294).

The spelling of 45123245121140 in words is "forty-five trillion, one hundred twenty-three billion, two hundred forty-five million, one hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 153077 306154 612308 765385 1530770 3061540 14738741 29477482 58954964 73693705 147387410 294774820 2256162256057 4512324512114 9024649024228 11280811280285 22561622560570 45123245121140