Search a number
-
+
44122322000 = 245322061161
BaseRepresentation
bin101001000101111001…
…010011010001010000
311012212221221012012002
4221011321103101100
51210330303301000
632134114253132
73121251356201
oct510571232120
9135787835162
1044122322000
111779199a629
1286745871a8
134212131a53
1421c7c835a8
1512338708d5
hexa45e53450

44122322000 has 40 divisors (see below), whose sum is σ = 106687779432. Its totient is φ = 17648928000.

The previous prime is 44122321981. The next prime is 44122322009. The reversal of 44122322000 is 22322144.

It can be written as a sum of positive squares in 4 ways, for example, as 881614864 + 43240707136 = 29692^2 + 207944^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44122322009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11028581 + ... + 11032580.

Almost surely, 244122322000 is an apocalyptic number.

44122322000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44122322000 is an abundant number, since it is smaller than the sum of its proper divisors (62565457432).

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

44122322000 is a wasteful number, since it uses less digits than its factorization.

44122322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22061184 (or 22061168 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 44122322000 its reverse (22322144), we get a palindrome (44144644144).

The spelling of 44122322000 in words is "forty-four billion, one hundred twenty-two million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 22061161 44122322 88244644 110305805 176489288 220611610 352978576 441223220 551529025 882446440 1103058050 1764892880 2206116100 2757645125 4412232200 5515290250 8824464400 11030580500 22061161000 44122322000