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3144144301 = 19229378117
BaseRepresentation
bin1011101101100111…
…1101010110101101
322010010021002010221
42323121331112231
522414400104201
61235553531341
7140625533314
oct27331752655
98103232127
103144144301
111373873171
12738b73b51
133b151301c
1421b80927b
151360684a1
hexbb67d5ad

3144144301 has 24 divisors (see below), whose sum is σ = 3525972120. Its totient is φ = 2797877376.

The previous prime is 3144144299. The next prime is 3144144313. The reversal of 3144144301 is 1034414413.

It can be written as a sum of positive squares in 4 ways, for example, as 1834066276 + 1310078025 = 42826^2 + 36195^2 .

It is not a de Polignac number, because 3144144301 - 21 = 3144144299 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144144371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 383295 + ... + 391411.

It is an arithmetic number, because the mean of its divisors is an integer number (146915505).

Almost surely, 23144144301 is an apocalyptic number.

It is an amenable number.

3144144301 is a deficient number, since it is larger than the sum of its proper divisors (381827819).

3144144301 is a wasteful number, since it uses less digits than its factorization.

3144144301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8221 (or 8202 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 3144144301 is about 56072.6698222940. The cubic root of 3144144301 is about 1464.9883012263.

Adding to 3144144301 its reverse (1034414413), we get a palindrome (4178558714).

The spelling of 3144144301 in words is "three billion, one hundred forty-four million, one hundred forty-four thousand, three hundred one".

Divisors: 1 19 29 37 361 551 703 1073 8117 10469 13357 20387 154223 235393 300329 387353 2930237 4472467 5706251 8709541 84976873 108418769 165481279 3144144301