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1442311310 = 2511101131991
BaseRepresentation
bin101010111110111…
…1110110010001110
310201111222000011102
41111331332302032
510423212430220
6355041423102
750512305146
oct12575766216
93644860142
101442311310
11680168920
1234303aa92
1319ca7435b
14d97a7926
1586951775
hex55f7ec8e

1442311310 has 64 divisors (see below), whose sum is σ = 2884958208. Its totient is φ = 514800000.

The previous prime is 1442311279. The next prime is 1442311349. The reversal of 1442311310 is 131132441.

1442311310 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14423113102 = 4160523829907832200, which contains 22 as substring.

It is a congruent 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, 1454915 + ... + 1455905.

It is an arithmetic number, because the mean of its divisors is an integer number (45077472).

Almost surely, 21442311310 is an apocalyptic number.

1442311310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1442311310 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

1442311310 is a wasteful number, since it uses less digits than its factorization.

1442311310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1442311310 is about 37977.7738947401. The cubic root of 1442311310 is about 1129.8470855812.

Adding to 1442311310 its reverse (131132441), we get a palindrome (1573443751).

It can be divided in two parts, 144231 and 1310, that added together give a palindrome (145541).

The spelling of 1442311310 in words is "one billion, four hundred forty-two million, three hundred eleven thousand, three hundred ten".

Divisors: 1 2 5 10 11 22 55 101 110 131 202 262 505 655 991 1010 1111 1310 1441 1982 2222 2882 4955 5555 7205 9910 10901 11110 13231 14410 21802 26462 54505 66155 100091 109010 129821 132310 145541 200182 259642 291082 500455 649105 727705 1000910 1101001 1298210 1428031 1455410 2202002 2856062 5505005 7140155 11010010 13111921 14280310 26223842 65559605 131119210 144231131 288462262 721155655 1442311310