Search a number
-
+
142233344 = 281153953
BaseRepresentation
bin10000111101001…
…00111100000000
3100220122012110122
420132210330000
5242402431334
622040315412
73344651321
oct1036447400
9326565418
10142233344
1173318020
123b772b68
132360ca56
1414c66448
15c74832e
hex87a4f00

142233344 has 72 divisors (see below), whose sum is σ = 315896112. Its totient is φ = 63365120.

The previous prime is 142233341. The next prime is 142233347. The reversal of 142233344 is 443332241.

It is an interprime number because it is at equal distance from previous prime (142233341) and next prime (142233347).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142233341) 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 7 ways as a sum of consecutive naturals, for example, 148772 + ... + 149724.

It is an arithmetic number, because the mean of its divisors is an integer number (4387446).

Almost surely, 2142233344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142233344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157948056).

142233344 is an abundant number, since it is smaller than the sum of its proper divisors (173662768).

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

142233344 is an equidigital number, since it uses as much as digits as its factorization.

142233344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1019 counting only the distinct ones).

The product of its digits is 6912, while the sum is 26.

The square root of 142233344 is about 11926.1621655921. The cubic root of 142233344 is about 521.9959581412.

Adding to 142233344 its reverse (443332241), we get a palindrome (585565585).

The spelling of 142233344 in words is "one hundred forty-two million, two hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 106 128 176 212 256 352 424 583 704 848 953 1166 1408 1696 1906 2332 2816 3392 3812 4664 6784 7624 9328 10483 13568 15248 18656 20966 30496 37312 41932 50509 60992 74624 83864 101018 121984 149248 167728 202036 243968 335456 404072 555599 670912 808144 1111198 1341824 1616288 2222396 2683648 3232576 4444792 6465152 8889584 12930304 17779168 35558336 71116672 142233344