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3144140321 = 72181461769
BaseRepresentation
bin1011101101100111…
…1100011000100001
322010010020212200112
42323121330120201
522414344442241
61235553501105
7140625515600
oct27331743041
98103225615
103144140321
111373870183
12738b71795
133b151127a
1421b807a37
151360671eb
hexbb67c621

3144140321 has 24 divisors (see below), whose sum is σ = 3690446760. Its totient is φ = 2670796800.

The previous prime is 3144140297. The next prime is 3144140333. The reversal of 3144140321 is 1230414413.

It can be written as a sum of positive squares in 4 ways, for example, as 27709696 + 3116430625 = 5264^2 + 55825^2 .

It is not a de Polignac number, because 3144140321 - 26 = 3144140257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3144140221) 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, 4088225 + ... + 4088993.

It is an arithmetic number, because the mean of its divisors is an integer number (153768615).

Almost surely, 23144140321 is an apocalyptic number.

It is an amenable number.

3144140321 is a deficient number, since it is larger than the sum of its proper divisors (546306439).

3144140321 is a wasteful number, since it uses less digits than its factorization.

3144140321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 3144140321 is about 56072.6343326225. The cubic root of 3144140321 is about 1464.9876830766.

Adding to 3144140321 its reverse (1230414413), we get a palindrome (4374554734).

The spelling of 3144140321 in words is "three billion, one hundred forty-four million, one hundred forty thousand, three hundred twenty-one".

Divisors: 1 7 49 181 461 769 1267 3227 5383 8869 22589 37681 83441 139189 354509 584087 974323 2481563 4088609 6820261 17370941 64166129 449162903 3144140321