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43821142225 = 527259812
BaseRepresentation
bin101000110011111100…
…011001000011010001
311012002222012200012121
4220303330121003101
51204221203022400
632044155054241
73110633364100
oct506374310321
9135088180177
1043821142225
111764798a823
1285ab741381
13419490cc73
142199c84037
1512171cc21a
hexa33f190d1

43821142225 has 27 divisors (see below), whose sum is σ = 63220332081. Its totient is φ = 30043759200.

The previous prime is 43821142171. The next prime is 43821142243. The reversal of 43821142225 is 52224112834.

The square root of 43821142225 is 209335.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 20908870801 + 22912271424 = 144599^2 + 151368^2 .

It is a de Polignac number, because none of the positive numbers 2k-43821142225 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 7323735 + ... + 7329715.

Almost surely, 243821142225 is an apocalyptic number.

43821142225 is the 209335-th square number.

43821142225 is the 104668-th centered octagonal number.

It is an amenable number.

43821142225 is a deficient number, since it is larger than the sum of its proper divisors (19399189856).

43821142225 is an frugal number, since it uses more digits than its factorization.

43821142225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11986 (or 5993 counting only the distinct ones).

The product of its digits is 30720, while the sum is 34.

The spelling of 43821142225 in words is "forty-three billion, eight hundred twenty-one million, one hundred forty-two thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 5981 29905 41867 149525 209335 293069 1046675 1465345 7326725 35772361 178861805 250406527 894309025 1252032635 1752845689 6260163175 8764228445 43821142225