Search a number
-
+
44442433040 = 2452292425897
BaseRepresentation
bin101001011000111110…
…011011011000010000
311020201021021111222112
4221120332123120100
51212004230324130
632225551324452
73132216306425
oct513076333020
9136637244875
1044442433040
111793665a805
128743820728
134263551675
1422185add4c
151251a03495
hexa58f9b610

44442433040 has 40 divisors (see below), whose sum is σ = 103779916440. Its totient is φ = 17699337216.

The previous prime is 44442433003. The next prime is 44442433051. The reversal of 44442433040 is 4033424444.

It can be written as a sum of positive squares in 4 ways, for example, as 28570464784 + 15871968256 = 169028^2 + 125984^2 .

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

It is a super-3 number, since 3×444424330403 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44442432988 and 44442433006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1194629 + ... + 1231268.

It is an arithmetic number, because the mean of its divisors is an integer number (2594497911).

Almost surely, 244442433040 is an apocalyptic number.

44442433040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44442433040 is an abundant number, since it is smaller than the sum of its proper divisors (59337483400).

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

44442433040 is a wasteful number, since it uses less digits than its factorization.

44442433040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426139 (or 2426133 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 44442433040 its reverse (4033424444), we get a palindrome (48475857484).

The spelling of 44442433040 in words is "forty-four billion, four hundred forty-two million, four hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 229 458 916 1145 1832 2290 3664 4580 9160 18320 2425897 4851794 9703588 12129485 19407176 24258970 38814352 48517940 97035880 194071760 555530413 1111060826 2222121652 2777652065 4444243304 5555304130 8888486608 11110608260 22221216520 44442433040