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3144067461 = 33315963667
BaseRepresentation
bin1011101101100110…
…1010100110000101
322010010010011202000
42323121222212011
522414340124321
61235552135513
7140625063303
oct27331524605
98103104660
103144067461
111373820467
12738b37599
133b14b7062
1421b7c9273
15136050826
hexbb66a985

3144067461 has 32 divisors (see below), whose sum is σ = 4889702400. Its totient is φ = 1994019120.

The previous prime is 3144067447. The next prime is 3144067469. The reversal of 3144067461 is 1647604413.

It is not a de Polignac number, because 3144067461 - 218 = 3143805317 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144067469) 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 31 ways as a sum of consecutive naturals, for example, 17550 + ... + 81216.

It is an arithmetic number, because the mean of its divisors is an integer number (152803200).

Almost surely, 23144067461 is an apocalyptic number.

3144067461 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3144067461 is a deficient number, since it is larger than the sum of its proper divisors (1745634939).

3144067461 is a wasteful number, since it uses less digits than its factorization.

3144067461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63766 (or 63760 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3144067461 is about 56071.9846358233. The cubic root of 3144067461 is about 1464.9763668061.

The spelling of 3144067461 in words is "three billion, one hundred forty-four million, sixty-seven thousand, four hundred sixty-one".

Divisors: 1 3 9 27 31 59 93 177 279 531 837 1593 1829 5487 16461 49383 63667 191001 573003 1719009 1973677 3756353 5921031 11269059 17763093 33807177 53289279 101421531 116446943 349340829 1048022487 3144067461