Search a number
-
+
4226310144 = 21332719431
BaseRepresentation
bin1111101111101000…
…0110000000000000
3101220112112210121100
43323322012000000
532123413411034
61535212254400
7206506020630
oct37372060000
911815483540
104226310144
111879707401
1299b471400
1352478b344
142c14246c0
1519b07a099
hexfbe86000

4226310144 has 336 divisors, whose sum is σ = 14721108480. Its totient is φ = 1141309440.

The previous prime is 4226310119. The next prime is 4226310167. The reversal of 4226310144 is 4410136224.

It is a happy number.

4226310144 is a `hidden beast` number, since 4 + 22 + 631 + 0 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9805609 + ... + 9806039.

Almost surely, 24226310144 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 4226310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7360554240).

4226310144 is an abundant number, since it is smaller than the sum of its proper divisors (10494798336).

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

4226310144 is a wasteful number, since it uses less digits than its factorization.

4226310144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4226310144 is about 65010.0772496080. The cubic root of 4226310144 is about 1616.7906466627.

Adding to 4226310144 its reverse (4410136224), we get a palindrome (8636446368).

The spelling of 4226310144 in words is "four billion, two hundred twenty-six million, three hundred ten thousand, one hundred forty-four".