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332214609249 = 3429141428101
BaseRepresentation
bin1001101010110011000…
…10001010010101100001
31011202111121101201220000
410311121202022111201
520420333414443444
6412341200010213
733000405405045
oct4653142122541
91152447351800
10332214609249
11118989539006
1254476000969
1325434c6bb83
141211774c025
15899593d469
hex4d5988a561

332214609249 has 20 divisors (see below), whose sum is σ = 513384010260. Its totient is φ = 213839287200.

The previous prime is 332214609247. The next prime is 332214609271. The reversal of 332214609249 is 942906412233.

332214609249 is a `hidden beast` number, since 3 + 3 + 2 + 2 + 14 + 609 + 24 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 162135075600 + 170079533649 = 402660^2 + 412407^2 .

It is not a de Polignac number, because 332214609249 - 21 = 332214609247 is a prime.

It is a super-2 number, since 2×3322146092492 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (332214609247) 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 19 ways as a sum of consecutive naturals, for example, 70711702 + ... + 70716399.

It is an arithmetic number, because the mean of its divisors is an integer number (25669200513).

Almost surely, 2332214609249 is an apocalyptic number.

It is an amenable number.

332214609249 is a deficient number, since it is larger than the sum of its proper divisors (181169401011).

332214609249 is a wasteful number, since it uses less digits than its factorization.

332214609249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141428142 (or 141428133 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 332214609249 in words is "three hundred thirty-two billion, two hundred fourteen million, six hundred nine thousand, two hundred forty-nine".

Divisors: 1 3 9 27 29 81 87 261 783 2349 141428101 424284303 1272852909 3818558727 4101414929 11455676181 12304244787 36912734361 110738203083 332214609249