Search a number
-
+
244124322120 = 23355710932917
BaseRepresentation
bin1110001101011011110…
…0011000100101001000
3212100010102222111100000
43203112330120211020
512444431311301440
6304052115243000
723431425333360
oct3432674304510
9770112874300
10244124322120
11945948a7518
123b3908a9460
131a0369a1413
14bb5c3259a0
15653c08c730
hex38d6f18948

244124322120 has 384 divisors, whose sum is σ = 948986438400. Its totient is φ = 55286240256.

The previous prime is 244124322107. The next prime is 244124322157. The reversal of 244124322120 is 21223421442.

It is a happy number.

244124322120 is a `hidden beast` number, since 2 + 4 + 4 + 12 + 432 + 212 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7399902 + ... + 7432818.

It is an arithmetic number, because the mean of its divisors is an integer number (2471318850).

Almost surely, 2244124322120 is an apocalyptic number.

244124322120 is a gapful number since it is divisible by the number (20) 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 244124322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474493219200).

244124322120 is an abundant number, since it is smaller than the sum of its proper divisors (704862116280).

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

244124322120 is a wasteful number, since it uses less digits than its factorization.

244124322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33059 (or 33043 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 244124322120 its reverse (21223421442), we get a palindrome (265347743562).

The spelling of 244124322120 in words is "two hundred forty-four billion, one hundred twenty-four million, three hundred twenty-two thousand, one hundred twenty".