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3144233010 = 2354124110607
BaseRepresentation
bin1011101101101001…
…0011000000110010
322010010102120211110
42323122103000302
522414410424020
61235555454150
7140626353042
oct27332230062
98103376743
103144233010
111373923886
12738bb7356
133b1544509
1421b82d722
151360848e0
hexbb693032

3144233010 has 64 divisors (see below), whose sum is σ = 7763019264. Its totient is φ = 814540800.

The previous prime is 3144232997. The next prime is 3144233039. The reversal of 3144233010 is 103324413.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291127 + ... + 301733.

It is an arithmetic number, because the mean of its divisors is an integer number (121297176).

Almost surely, 23144233010 is an apocalyptic number.

3144233010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3144233010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3881509632).

3144233010 is an abundant number, since it is smaller than the sum of its proper divisors (4618786254).

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

3144233010 is a wasteful number, since it uses less digits than its factorization.

3144233010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10899.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3144233010 is about 56073.4608348727. The cubic root of 3144233010 is about 1465.0020788409.

Adding to 3144233010 its reverse (103324413), we get a palindrome (3247557423).

It can be divided in two parts, 314 and 4233010, that added together give a palindrome (4233324).

The spelling of 3144233010 in words is "three billion, one hundred forty-four million, two hundred thirty-three thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 241 246 410 482 615 723 1205 1230 1446 2410 3615 7230 9881 10607 19762 21214 29643 31821 49405 53035 59286 63642 98810 106070 148215 159105 296430 318210 434887 869774 1304661 2174435 2556287 2609322 4348870 5112574 6523305 7668861 12781435 13046610 15337722 25562870 38344305 76688610 104807767 209615534 314423301 524038835 628846602 1048077670 1572116505 3144233010