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1442110110 = 2357713112
BaseRepresentation
bin101010111110100…
…1101101010011110
310201111120210011120
41111331031222132
510423140010420
6355033231410
750510506440
oct12575155236
93644523146
101442110110
11680040741
12342b62566
1319ca038bc
14d9754490
1586911d40
hex55f4da9e

1442110110 has 96 divisors (see below), whose sum is σ = 4024152576. Its totient is φ = 323937600.

The previous prime is 1442110093. The next prime is 1442110121. The reversal of 1442110110 is 110112441.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1442110110.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 4636855 + ... + 4637165.

It is an arithmetic number, because the mean of its divisors is an integer number (41918256).

Almost surely, 21442110110 is an apocalyptic number.

1442110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1442110110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2012076288).

1442110110 is an abundant number, since it is smaller than the sum of its proper divisors (2582042466).

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

1442110110 is an equidigital number, since it uses as much as digits as its factorization.

1442110110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 1442110110 is about 37975.1248845873. The cubic root of 1442110110 is about 1129.7945458825.

Adding to 1442110110 its reverse (110112441), we get a palindrome (1552222551).

It can be divided in two parts, 14421 and 10110, that added together give a triangular number (24531 = T221).

The spelling of 1442110110 in words is "one billion, four hundred forty-two million, one hundred ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 71 105 142 210 213 311 355 426 497 622 710 933 994 1065 1491 1555 1866 2130 2177 2485 2982 3110 4354 4665 4970 6531 7455 9330 10885 13062 14910 21770 22081 32655 44162 65310 66243 96721 110405 132486 154567 193442 220810 290163 309134 331215 463701 483605 580326 662430 677047 772835 927402 967210 1354094 1450815 1545670 2031141 2318505 2901630 3385235 4062282 4637010 6770470 6867191 10155705 13734382 20311410 20601573 34335955 41203146 48070337 68671910 96140674 103007865 144211011 206015730 240351685 288422022 480703370 721055055 1442110110