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1442224311 = 311113439881
BaseRepresentation
bin101010111110110…
…1001100010110111
310201111210120211020
41111331221202313
510423202134221
6355035512223
750511463413
oct12575514267
93644716736
101442224311
11680109520
12342bb8673
1319ca43888
14d9783d43
1586935ac6
hex55f698b7

1442224311 has 32 divisors (see below), whose sum is σ = 2123573760. Its totient is φ = 863385600.

The previous prime is 1442224283. The next prime is 1442224313. The reversal of 1442224311 is 1134222441.

It is not a de Polignac number, because 1442224311 - 211 = 1442222263 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442224313) by changing a digit.

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, 1636591 + ... + 1637471.

It is an arithmetic number, because the mean of its divisors is an integer number (66361680).

Almost surely, 21442224311 is an apocalyptic number.

1442224311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1442224311 is a deficient number, since it is larger than the sum of its proper divisors (681349449).

1442224311 is a wasteful number, since it uses less digits than its factorization.

1442224311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447.

The product of its digits is 1536, while the sum is 24.

The square root of 1442224311 is about 37976.6284838452. The cubic root of 1442224311 is about 1129.8243679838.

Adding to 1442224311 its reverse (1134222441), we get a palindrome (2576446752).

The spelling of 1442224311 in words is "one billion, four hundred forty-two million, two hundred twenty-four thousand, three hundred eleven".

Divisors: 1 3 11 33 113 339 439 881 1243 1317 2643 3729 4829 9691 14487 29073 49607 99553 148821 298659 386759 545677 1095083 1160277 1637031 3285249 4254349 12763047 43703767 131111301 480741437 1442224311