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142212444 = 2231110110667
BaseRepresentation
bin10000111100111…
…11110101011100
3100220121010210120
420132133311130
5242401244234
622040034540
73344533353
oct1036376534
9326533716
10142212444
1173303350
123b762a50
132360339a
1414c5c99a
15c742049
hex879fd5c

142212444 has 48 divisors (see below), whose sum is σ = 365613696. Its totient is φ = 42664000.

The previous prime is 142212443. The next prime is 142212461. The reversal of 142212444 is 444212241.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142212443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7999 + ... + 18665.

It is an arithmetic number, because the mean of its divisors is an integer number (7616952).

Almost surely, 2142212444 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 142212444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182806848).

142212444 is an abundant number, since it is smaller than the sum of its proper divisors (223401252).

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

142212444 is a wasteful number, since it uses less digits than its factorization.

142212444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10786 (or 10784 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 142212444 is about 11925.2859085223. The cubic root of 142212444 is about 521.9703892424.

Adding to 142212444 its reverse (444212241), we get a palindrome (586424685).

The spelling of 142212444 in words is "one hundred forty-two million, two hundred twelve thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 2222 3333 4444 6666 10667 13332 21334 32001 42668 64002 117337 128004 234674 352011 469348 704022 1077367 1408044 2154734 3232101 4309468 6464202 11851037 12928404 23702074 35553111 47404148 71106222 142212444