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1324421142 = 2311173761523
BaseRepresentation
bin100111011110001…
…0001000000010110
310102022010120020220
41032330101000112
510203022434032
6335230535210
744551252062
oct11674210026
93368116226
101324421142
1161a668230
1230b667506
13181508865
14c7c7aaa2
157b41612c
hex4ef11016

1324421142 has 128 divisors (see below), whose sum is σ = 3199938048. Its totient is φ = 360806400.

The previous prime is 1324421117. The next prime is 1324421143. The reversal of 1324421142 is 2411244231.

It is a super-2 number, since 2×13244211422 = 3508182722753168328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1324421143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2532093 + ... + 2532615.

It is an arithmetic number, because the mean of its divisors is an integer number (24999516).

Almost surely, 21324421142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1324421142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599969024).

1324421142 is an abundant number, since it is smaller than the sum of its proper divisors (1875516906).

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

1324421142 is a wasteful number, since it uses less digits than its factorization.

1324421142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654.

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

The square root of 1324421142 is about 36392.5973516593. The cubic root of 1324421142 is about 1098.1846481611.

Adding to 1324421142 its reverse (2411244231), we get a palindrome (3735665373).

Subtracting 1324421142 from its reverse (2411244231), we obtain a square (1086823089 = 329672).

The spelling of 1324421142 in words is "one billion, three hundred twenty-four million, four hundred twenty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 17 22 33 34 37 51 61 66 74 102 111 122 183 187 222 366 374 407 523 561 629 671 814 1037 1046 1122 1221 1258 1342 1569 1887 2013 2074 2257 2442 3111 3138 3774 4026 4514 5753 6222 6771 6919 8891 11407 11506 13542 13838 17259 17782 19351 20757 22814 24827 26673 31903 34221 34518 38369 38702 41514 49654 53346 58053 63806 68442 74481 76738 95709 97801 115107 116106 148962 191418 195602 212861 230214 293403 328967 350933 422059 425722 542351 586806 638583 657934 701866 844118 986901 1052799 1084702 1180411 1266177 1277166 1627053 1973802 2105598 2360822 2532354 3254106 3541233 3618637 5965861 7082466 7237274 10855911 11931722 12984521 17897583 20066987 21711822 25969042 35795166 38953563 40133974 60200961 77907126 120401922 220736857 441473714 662210571 1324421142