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3144212305 = 513174169401
BaseRepresentation
bin1011101101101000…
…1101111101010001
322010010101112102121
42323122031331101
522414404243210
61235555214241
7140626235503
oct27332157521
98103345377
103144212305
11137390a273
12738ba7381
133b1537c70
1421b825d73
1513607d6da
hexbb68df51

3144212305 has 32 divisors (see below), whose sum is σ = 4407304608. Its totient is φ = 2131968000.

The previous prime is 3144212297. The next prime is 3144212311. The reversal of 3144212305 is 5032124413.

It can be written as a sum of positive squares in 16 ways, for example, as 1333199169 + 1811013136 = 36513^2 + 42556^2 .

It is not a de Polignac number, because 3144212305 - 23 = 3144212297 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3144212305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10605 + ... + 80005.

It is an arithmetic number, because the mean of its divisors is an integer number (137728269).

Almost surely, 23144212305 is an apocalyptic number.

It is an amenable number.

3144212305 is a deficient number, since it is larger than the sum of its proper divisors (1263092303).

3144212305 is a wasteful number, since it uses less digits than its factorization.

3144212305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69477.

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 3144212305 is about 56073.2762106870. The cubic root of 3144212305 is about 1464.9988631192.

Adding to 3144212305 its reverse (5032124413), we get a palindrome (8176336718).

The spelling of 3144212305 in words is "three billion, one hundred forty-four million, two hundred twelve thousand, three hundred five".

Divisors: 1 5 13 17 41 65 85 205 221 533 697 1105 2665 3485 9061 45305 69401 347005 902213 1179817 2845441 4511065 5899085 14227205 15337621 36990733 48372497 76688105 184953665 241862485 628842461 3144212305