Search a number
-
+
44342426050 = 252131135691061
BaseRepresentation
bin101001010011000000…
…111011100111000010
311020110022002122011221
4221103000323213002
51211303130113200
632212020025254
73126563255026
oct512300734702
9136408078157
1044342426050
1117895163aaa
12871623222a
134248907930
1422091ba386
151247d4b91a
hexa5303b9c2

44342426050 has 96 divisors (see below), whose sum is σ = 89849405520. Its totient is φ = 16183910400.

The previous prime is 44342426027. The next prime is 44342426057. The reversal of 44342426050 is 5062424344.

It can be written as a sum of positive squares in 24 ways, for example, as 21326805369 + 23015620681 = 146037^2 + 151709^2 .

It is a junction number, because it is equal to n+sod(n) for n = 44342425997 and 44342426015.

It is not an unprimeable number, because it can be changed into a prime (44342426057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41792520 + ... + 41793580.

Almost surely, 244342426050 is an apocalyptic number.

44342426050 is an abundant number, since it is smaller than the sum of its proper divisors (45506979470).

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

44342426050 is a wasteful number, since it uses less digits than its factorization.

44342426050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 34.

It can be divided in two parts, 4434242 and 6050, that multiplied together give a square (26827164100 = 1637902).

The spelling of 44342426050 in words is "forty-four billion, three hundred forty-two million, four hundred twenty-six thousand, fifty".

Divisors: 1 2 5 10 13 25 26 50 65 113 130 226 325 565 569 650 1061 1130 1138 1469 2122 2825 2845 2938 5305 5650 5690 7345 7397 10610 13793 14225 14690 14794 26525 27586 28450 36725 36985 53050 64297 68965 73450 73970 119893 128594 137930 184925 239786 321485 344825 369850 599465 603709 642970 689650 835861 1198930 1207418 1558609 1607425 1671722 2997325 3018545 3117218 3214850 4179305 5994650 6037090 7793045 7848217 8358610 15092725 15586090 15696434 20896525 30185450 38965225 39241085 41793050 68219117 77930450 78482170 136438234 196205425 341095585 392410850 682191170 886848521 1705477925 1773697042 3410955850 4434242605 8868485210 22171213025 44342426050