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1142310344 = 23727014157
BaseRepresentation
bin100010000010110…
…0100010111001000
32221121110101012112
41010011210113020
54314412412334
6305203401452
740210322600
oct10405442710
92847411175
101142310344
1153689373a
1227a683288
13152875ca6
14ab9d3c00
156a4424ce
hex441645c8

1142310344 has 48 divisors (see below), whose sum is σ = 2495673180. Its totient is φ = 488745600.

The previous prime is 1142310271. The next prime is 1142310349. The reversal of 1142310344 is 4430132411.

It can be written as a sum of positive squares in 2 ways, for example, as 1105562500 + 36747844 = 33250^2 + 6062^2 .

It is not an unprimeable number, because it can be changed into a prime (1142310349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 272714 + ... + 276870.

Almost surely, 21142310344 is an apocalyptic number.

1142310344 is a gapful number since it is divisible by the number (14) 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 1142310344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247836590).

1142310344 is an abundant number, since it is smaller than the sum of its proper divisors (1353362836).

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

1142310344 is a wasteful number, since it uses less digits than its factorization.

1142310344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4878 (or 4867 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 1142310344 is about 33798.0819574129. The cubic root of 1142310344 is about 1045.3491485348.

Adding to 1142310344 its reverse (4430132411), we get a palindrome (5572442755).

The spelling of 1142310344 in words is "one billion, one hundred forty-two million, three hundred ten thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 701 1402 2804 4157 4907 5608 8314 9814 16628 19628 29099 33256 34349 39256 58198 68698 116396 137396 203693 232792 274792 407386 814772 1629544 2914057 5828114 11656228 20398399 23312456 40796798 81593596 142788793 163187192 285577586 571155172 1142310344