Search a number
-
+
144443023424120 = 235314122397113121
BaseRepresentation
bin100000110101111011000011…
…000110011111101001111000
3200221102121200122200000012202
4200311323003012133221320
5122413023302444032440
61231112113042325332
742265443526206461
oct4065730306375170
9627377618600182
10144443023424120
1142029a40112573
121424a038359848
136279bc33c3075
14279511873dd68
1511a7463ee6615
hex835ec319fa78

144443023424120 has 256 divisors, whose sum is σ = 345585963663360. Its totient is φ = 54245007360000.

The previous prime is 144443023424099. The next prime is 144443023424153. The reversal of 144443023424120 is 21424320344441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11008531160 + ... + 11008544280.

It is an arithmetic number, because the mean of its divisors is an integer number (1349945170560).

Almost surely, 2144443023424120 is an apocalyptic number.

144443023424120 is a gapful number since it is divisible by the number (10) 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 144443023424120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172792981831680).

144443023424120 is an abundant number, since it is smaller than the sum of its proper divisors (201142940239240).

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

144443023424120 is a wasteful number, since it uses less digits than its factorization.

144443023424120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14398 (or 14394 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 38.

Adding to 144443023424120 its reverse (21424320344441), we get a palindrome (165867343768561).

The spelling of 144443023424120 in words is "one hundred forty-four trillion, four hundred forty-three billion, twenty-three million, four hundred twenty-four thousand, one hundred twenty".