Search a number
-
+
44422144704 = 26327194114143
BaseRepresentation
bin101001010111110001…
…000010001011000000
311020122212002202121200
4221113301002023000
51211434032112304
632223544421200
73131551666650
oct512761021300
9136585082550
1044422144704
1117926162893
128738a77800
13425c299c32
142215a0c360
15124ed46e39
hexa57c422c0

44422144704 has 336 divisors, whose sum is σ = 156923719680. Its totient is φ = 11729940480.

The previous prime is 44422144699. The next prime is 44422144721. The reversal of 44422144704 is 40744122444.

44422144704 is a `hidden beast` number, since 4 + 442 + 2 + 144 + 70 + 4 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3133857 + ... + 3147999.

It is an arithmetic number, because the mean of its divisors is an integer number (467034880).

Almost surely, 244422144704 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 44422144704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78461859840).

44422144704 is an abundant number, since it is smaller than the sum of its proper divisors (112501574976).

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

44422144704 is a wasteful number, since it uses less digits than its factorization.

44422144704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14228 (or 14215 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 36.

The spelling of 44422144704 in words is "forty-four billion, four hundred twenty-two million, one hundred forty-four thousand, seven hundred four".