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3144123312 = 2431110954631
BaseRepresentation
bin1011101101100111…
…1000001110110000
322010010020000100120
42323121320032300
522414343421222
61235553250240
7140625415161
oct27331701660
98103200316
103144123312
111373859420
12738b63980
133b15065c5
1421b801768
1513606215c
hexbb6783b0

3144123312 has 80 divisors (see below), whose sum is σ = 8942165760. Its totient is φ = 944006400.

The previous prime is 3144123251. The next prime is 3144123313. The reversal of 3144123312 is 2133214413.

It is a happy number.

It is a super-2 number, since 2×31441233122 = 19771022802123698688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3144123313) 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 15 ways as a sum of consecutive naturals, for example, 30237 + ... + 84867.

It is an arithmetic number, because the mean of its divisors is an integer number (111777072).

Almost surely, 23144123312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3144123312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4471082880).

3144123312 is an abundant number, since it is smaller than the sum of its proper divisors (5798042448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3144123312 is a wasteful number, since it uses less digits than its factorization.

3144123312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54762 (or 54756 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 3144123312 is about 56072.4826630675. The cubic root of 3144123312 is about 1464.9850413348.

Adding to 3144123312 its reverse (2133214413), we get a palindrome (5277337725).

The spelling of 3144123312 in words is "three billion, one hundred forty-four million, one hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 109 132 176 218 264 327 436 528 654 872 1199 1308 1744 2398 2616 3597 4796 5232 7194 9592 14388 19184 28776 54631 57552 109262 163893 218524 327786 437048 600941 655572 874096 1201882 1311144 1802823 2403764 2622288 3605646 4807528 5954779 7211292 9615056 11909558 14422584 17864337 23819116 28845168 35728674 47638232 65502569 71457348 95276464 131005138 142914696 196507707 262010276 285829392 393015414 524020552 786030828 1048041104 1572061656 3144123312