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1142310132 = 223273593733
BaseRepresentation
bin100010000010110…
…0100010011110100
32221121110100220200
41010011210103310
54314412411012
6305203400500
740210322145
oct10405442364
92847410820
101142310132
11536893567
1227a683130
13152875b72
14ab9d3acc
156a4423dc
hex441644f4

1142310132 has 72 divisors (see below), whose sum is σ = 2935997064. Its totient is φ = 374409216.

The previous prime is 1142310109. The next prime is 1142310133. The reversal of 1142310132 is 2310132411.

It can be written as a sum of positive squares in 4 ways, for example, as 591656976 + 550653156 = 24324^2 + 23466^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142310133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1558038 + ... + 1558770.

It is an arithmetic number, because the mean of its divisors is an integer number (40777737).

Almost surely, 21142310132 is an apocalyptic number.

1142310132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142310132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467998532).

1142310132 is an abundant number, since it is smaller than the sum of its proper divisors (1793686932).

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

1142310132 is a wasteful number, since it uses less digits than its factorization.

1142310132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1142310132 is about 33798.0788211401. The cubic root of 1142310132 is about 1045.3490838665.

Adding to 1142310132 its reverse (2310132411), we get a palindrome (3452442543).

The spelling of 1142310132 in words is "one billion, one hundred forty-two million, three hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 593 657 733 876 1186 1314 1466 1779 2199 2372 2628 2932 3558 4398 5337 6597 7116 8796 10674 13194 21348 26388 43289 53509 86578 107018 129867 160527 173156 214036 259734 321054 389601 434669 481581 519468 642108 779202 869338 963162 1304007 1558404 1738676 1926324 2608014 3912021 5216028 7824042 15648084 31730837 63461674 95192511 126923348 190385022 285577533 380770044 571155066 1142310132